Please help me with solving these. Thank you very much. Have a great day!

Please Help Me With Solving These. Thank You Very Much. Have A Great Day!

Answers

Answer 1

Answer:

Problem 20)

[tex]\displaystyle \frac{dy}{dx}=(\cos x)^x\left(\ln \cos x-x\tan x\right)[/tex]

Problem 21)

A)

The velocity function is:

[tex]\displaystyle v(t) =2\pi(\cos(2\pi t)-\sin(\pi t))[/tex]

The acceleration function is:

[tex]\displaystyle a(t)=-2\pi^2(2\sin(2\pi t)+\cos(\pi t))[/tex]

B)

[tex]s(0)=2\text{, }v(0) = 2\pi \text{ m/s}\text{, and } a(0) = -2\pi^2\text{ m/s$^2$}[/tex]

Step-by-step explanation:

Problem 20)

We want to differentiate the equation:

[tex]\displaystyle y=\left(\cos x\right)^x[/tex]

We can take the natural log of both sides. This yields:

[tex]\displaystyle \ln y = \ln((\cos x)^x)[/tex]

Since ln(aᵇ) = bln(a):

[tex]\displaystyle \ln y =x\ln \cos x[/tex]

Take the derivative of both sides with respect to x:

[tex]\displaystyle \frac{d}{dx}\left[\ln y \right]=\frac{d}{dx}\left[x \ln \cos x\right][/tex]

Implicitly differentiate the left and use the product rule on the right. Therefore:

[tex]\displaystyle \frac{1}{y}\frac{dy}{dx}=\ln \cos x+x\left(\frac{1}{\cos x}\cdot -\sin(x)\right)[/tex]

Simplify:

[tex]\displaystyle \frac{1}{y}\frac{dy}{dx}=\ln \cos x-\frac{x\sin x}{\cos x}[/tex]

Simplify and multiply both sides by y:

[tex]\displaystyle \frac{dy}{dx}=y\left(\ln \cos x-x \tan x\right)[/tex]

Since y = (cos x)ˣ:

[tex]\displaystyle \frac{dy}{dx}=(\cos x)^x\left(\ln \cos x-x\tan x\right)[/tex]

Problem 21)

We are given the position function of a particle:

[tex]\displaystyle s(t)= \sin (2\pi t)+2\cos(\pi t)[/tex]

A)

Recall that the velocity function is the derivative of the position function. Hence:

[tex]\displaystyle v(t)=s'(t)=\frac{d}{dt}[\sin(2\pi t)+2\cos(\pi t)][/tex]

Differentiate:

[tex]\displaystyle \begin{aligned} v(t) &= 2\pi \cos(2\pi t)-2\pi \sin(\pi t)\\&=2\pi(\cos(2\pi t)-\sin(\pi t))\end{aligned}[/tex]

The acceleration function is the derivative of the velocity function. Hence:

[tex]\displaystyle a(t)=v'(t)=\frac{d}{dt}[2\pi(\cos(2\pi t)-\sin(\pi t))][/tex]

Differentiate:

[tex]\displaystyle \begin{aligned} a(t)&=2\pi[-2\pi\sin(2\pi t)-\pi\cos(\pi t)]\\&=-2\pi^2(2\sin(2\pi t)+\cos(\pi t))\end{aligned}[/tex]

B)

The position at t = 0 will be:

[tex]\displaystyle \begin{aligned} s(0)&=\sin(2\pi(0))+2\cos(\pi(0))\\&=\sin(0)+2\cos(0)\\&=(1)+2(1)\\&=2\end{aligned}[/tex]

The velocity at t = 0 will be:

[tex]\displaystyle \begin{aligned} v(0)&=2\pi(\cos(2\pi (0)-\sin(\pi(0))\\&=2\pi(\cos(0)-\sin(0))\\&=2\pi((1)-(0))\\&=2\pi \text{ m/s}\end{aligned}[/tex]

And the acceleration at t = 0 will be:

[tex]\displaystyle \begin{aligned} a(0) &= -2\pi ^2(2\sin(2\pi(0))+\cos(\pi(0)) \\ & = -2\pi ^2(2\sin(0)+\cos(0)) \\ &= -2\pi ^2(2(0)+(1)) \\ &= -2\pi^2(1) \\ &= -2\pi^2\text{ m/s$^2$} \end{aligned}[/tex]


Related Questions

Calculate the BMI for a woman who is 165 cm tall and weighs 65 kg. ​

Answers

According to BMI chart and their classification, BMI score of 23.88 for 65 kilograms weight & 165 cm tall indicates that your weight is Normal. The Body Mass Index of 23.88 is derived from the weight of 65 kilograms divided by the square of height 165 centimeters.

which of the following does not describe a rigid motion transformation

Answers

Answer:

The answer to this question is dilating the figure by a scale factor of one half.

HELP I HAVE TO PASS!
What is the average rate of change for this quadratic function for the interval from x=0 to x=2?

A) -4
B) -2
C) 2
B) 4

Answers

Answer:

At X = 0     Y = 10

At X = 2      Y = 6

Rate of  change = change in Y / change in X = -4 / 2 = -2   or B

question- pls help me find the answer ​

Answers

Answer:

(d) -1

Step-by-step explanation:

Hope you have good grades and study well..btw make me as brainliest....ty sweetie

(a) 1

The two diagonals are equal in length so we can write
3x - 2 = 2x - 1
3x - 2x = -1 + 2
x = 1

You could have substituted each answer until you found the one that worked.

Two workers paint lines for angled parking spaces

Answers

Answer:

2nd option

Step-by-step explanation:

The lines are parallel because the angles are congruent since they are Alternate exterior angles.

Which angle is coterminal with a 130° angle? A. An angle measuring –130° O B. An angle measuring 310° C. An angle measuring 490° O D. An angle measuring 480°​

Answers

Answer:

Option C

Step-by-step explanation:

Positive coterminal angle of 130° is

(130+360)°

= 490°

Answered by GAUTHMATH

Answer:

An angle measuring 490

Step-by-step explanation:

it was right

Find the Surface Area and the Volume.

Answers

Answer:

Surface area = 850 cm²

Volume = 1000 cm³

Step-by-step explanation:

Applying,

A = h(a+b+c+d)................ Equation 1

Where A = Surface area of the trapezoidal prism, a, b, c, d = length of the four sides the trapezium respectively, h = height of the prism.

From the diagram in the question,

Given: h = 25 cm, a = 6 cm, b = 14 cm, c = 7 cm, d = 7 cm

Substitute these values into equation 1

A = 25(6+14+7+7)

A = 25(34)

A = 850 cm²

From the volume,

V = A'h...................... Equation 2

Where A' = Area of the base.

From the diagram,

A' = 1/2(6+14)4

A' = 40 cm²

Therefore,

V = 40×25

V = 1000 cm³

Charlie weighed 8 lbs. 11 oz. at birth given that 1 pound is equivalent to 16 ounces what is Charlie’s birthweight expressed in ounces

Answers

Answer:

139 oz.

Step-by-step explanation:

If 1 pound equals 16 ounces, multiply 8 by 16 and you will get 128, then add the original 11 ounces to get 139.

3(x - 4) = -3. Solve for x.

Answers

Answer:

x = 3

Step-by-step explanation:

3(x - 4) = -3

Divide by 3

3/3(x - 4) = -3/3

x-4 = -1

Add 4 to each side

x-4+4 = -1+4

x = 3

Answer:

x = 3

Step-by-step explanation:

Divide each term by  3  and simplify.

x - 4 = [tex]\frac{-3}{3}[/tex]

Cancel the common factor of  3 .

x - 4 = -1

Move all terms not containing  x  to the right side of the equation.

x = -1 + 4

Add -1 and 4.

x = 3

Hope this helps!

what is the slope of this graph?? :,)

Answers

Answer:

1/2

Step-by-step explanation:

This line is going up towards the right- that makes it positive. It is increasing. So it can't be negative or going "down"

The question wants to see if you know the direction of the line.

1. Two-thirds of the sum of the number x and 5 is written
2x+5
a.
2
-x+ 5
3
b. §
(5x) <(x+5)
d.
e. x+ķ(x+5)
{(+5)
3

Answers

9514 1404 393

Answer:

cba

Step-by-step explanation:

This is as much about English comprehension as it is about math. When you read an English sentence, you need to figure out what each of the pronouns, phrases, and modifiers is referring to. When the sentence refers to math operations, you need to determine what each math operation is being applied to. In most cases, a math operation involves two operands, so the trick is to figure out what those are.

__

1. "Two-thirds of the sum ..." will look like 2/3( + ). "The sum of a number and 5" will look like (x+5). So, the words are describing ...

  2/3(x +5) . . . . matches C

__

2. "Seven decreased by ..." will look like 7 -( ). "The quotient of a number and 3" will look like (n/3). So, the words are describing ...

  7 -n/3 . . . . matches B

__

3. Consider the order of operations. When you evaluate 2x²+9, the last operation you perform is addition. That is, the result is a sum. One of the elements of that sum is 9 (the second one). The other element of that sum is the product 2x². The elements of that product are 2 and the square of x. So, one way to describe this expression is ...

  the sum of the product of 2 and the square of a number, and 9.

The order of operations requires that squares be evaluated before multiplication and division, so it is not unreasonable (if slightly more ambiguous) to write this as ...

  the sum of 2 times a number squared and 9 . . . . choice A

4 pillows and 5 quilts cost £53, 6 pillows and 5 quilts cost £57, find the cost of one each

Answers

Answer:

p=2

q=9

Step-by-step explanation:

4p+5q=53

6p+5q =57

Let a pillow is x and a quilt is y.
4x+5y=53
6x+5y=57
Subtract
4x+5y-6x-5y=53-57
-2x=-4
x=2
Put value of x in any equation
4*2+5y=53
8+5y=53
5y=53-8
5y=45
Y=9
Cost of each pillow is 2 and cost of each quilt is 9

What additional information do you need to prove triangle ABC ~ triangle JKL

Answers

Answer:

no additional information will help because the triangles are not similar

Step-by-step explanation:

Similar triangles have 3 pairs of congruent, corresponding angles.

Let's look at triangle ABC. Two angle measures are given: 51 deg and 63 deg.

180 - 51 - 63 - 66

The measure of the thrid angle is 66 deg.

One anlgle measure of triangle JKL is given. It is 66 deg.

Since <J is not congruent to any angle of triangler ABC, the triangles are not similar.

Answer: no additional information will help because the triangles are not similar

A book store had 30816 exercise books which were paclced in cartons each carton contained 24 exercise books the mass of an empty carton was 2kg and a full carton 12kg

Answers

30,816 books would go into 1,284 containers which would weigh 15,408kg with all the books in them or 2,568kg with the books not in them.

i need to know how to solve this

Answers

Answer:

C

Step-by-step explanation:

I think you have to call a = 14/32 and b = 7/4

3a = 3 * 14/32 = 42/32

b = 1 3/4 = (4 + 3)/4 = 7/4

42/32 // 7/4                        Invert and multiply

42/32 * 4/7                         Cancel 4 into 32 and 7 into 42

6/8 = 3/4

I make the answer C

Answer:

So the square seems to multiply the first number by three and then divide it by the second number.

So,

14/32 * 3

=

42/32

Simplify

21/16

And now for division, we flip the diveding fraction and multiply.

21/16 * 4/7

Which is after some fraction simplifing:

3/4

What is the quotient of the fractions below? 2/3÷5/4

Answers

answer:

2/3÷5/4 is equal to 8/15

the answer here is 8/15

One of the questions Rasmussen Reports included on a 2018 survey of 2,500 likely voters asked if the country is headed in right direction. Representative data are shown in the DATAfile named Right Direction. A response of Yes indicates that the respondent does think the country is headed in the right direction. A response of No indicates that the respondent does not think the country is headed in the right direction. Respondents may also give a response of Not Sure.
(a) What is the point estimate of the proportion of the population of respondents who do think that the country is headed in the right direction?
(b) At 95% confidence, what is the margin of error for the proportion of respondents who do think that the country is headed in the right direction?
(c) What is the 95% confidence interval for the proportion of respondents who do think that the country is headed in the right direction?
(d) What is the 95% confidence interval for the proportion of respondents who do not think that the country is headed in the right direction?
(e) Which of the confidence intervals in parts (c) and (d) has the smaller margin of error? Why?
The confidence interval in part (c) has a (Smaller or Larger) margin of error than the confidence interval in part (d). This is because the sample proportion of respondents who do think that the country is headed in the right direction is (closer to .5 / closer to 1 / farther from .5 / farther from 1) than the sample proportion of respondents who do not think that the country is headed in the right direction.
Dataset:
553 - No
70 - Not Sure
384 - Yes

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

553 - No

70 - Not Sure

384 - Yes

Total = (553 + 70 + 384) = 1007

Proportion who do think country is headed in the right direction :

P = yes / total = 384/1007 = 0.381

b.) Error margin at 95%

Margin of Error = Zcritical * √p(1-p)/n

1-p = 1 - 0.381 = 0.619

Zcritical at 95% = 1.96

Margin of error = 1.96 * √0.381(0.619)/1007

Margin of error = 0.030

C.)

95% confidence interval for heading in the right direction:

P ± margin of error

P ± 0.030

Lower boundary = 0.381 - 0.030 = 0.351

Upper boundary = 0.381 + 0.030 = 0.411

(0.351 ; 0.411)

D.)

Confidence interval for people who don't think :

P = 553 / 1007 = 0.549

Confidence interval = P ± margin of error

Error margin at 95%

Margin of Error = Zcritical * √p(1-p)/n

1-p = 1 - 0.549 = 0.451

Zcritical at 95% = 1.96

Margin of error = 1.96 * √0.549(0.451)/1007

Margin of error = 0.031

P ± margin of error

P ± 0.031

Lower boundary = 0.549 - 0.031 = 0.518

Upper boundary = 0.549 + 0.031 = 0.580

(0.518 ; 0.580)

E.)

The interval with smaller error margin is ; 0.030 (those who think country is headed in the right direction because sample proportion is farther from .5 / farther from 1)

What's the area
5.1 5.1 5.1 ?

Answers

Answer:

Are you talking about the are of a 3d cube? then it would be 156.06 because you take the length times width to get the area of one side then multiply it by 6 to gets all the sides.

WILL MARK YOU IF YOU ANSWER SO PLEASE HELP

Answers

Answer:

x= 83

first take vertical opposite angle then take corresponding angles then you're done

Answer:

x value is 83 degree

because they both are alternate exterior angle

Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 108 disks are summarized as follows: Shock Resistance Scratch Resistance High Low High 55 10 Low 13 30 Let A denote the event that a disk has high shock resistance, and let B denote the event that a disk has high scratch resistance. If a disk is selected at random, determine the following probabilities. P(A)=86/100P(B)=79/100P(A')=7/50P(A U B)=95/100P(A' U B)= ???

Answers

Answer:

i) 0.63

ii) 0.37

iii) 0.37

iv) 0.77

v) 0.51

Step-by-step explanation:

Total resistance value = 108

A = high shock resistance

B = high scratch resistance

when a disk is selected at random

i) P(A) = P ( high shock resistance )

          = ( 55 + 13 ) / 108

          = 68/108 =  17/27   = 0.63

ii) P( B ) = P ( high scratch resistance )

            = ( 10 + 30 ) / 108

            = 40 / 108 = 10/27  = 0.37

iii) P(A') = 1 - P(A)

            = 1 - 17/27 = 10/27  = 0.37

iv) P( A U B ) = P(A) + P(B) - P( A n B )

                    = 0.63 + 0.37 - 0.233

                    = 0.766 ≈ 0.77

v) P( A' U B ) = P(A') + P(B) - P(A n B )

                     = 0.37 + 0.37 - 0.233

                     = 0.507 ≈ 0.51

Identify the pairs of congruent angles and proportional corresponding side lengths

Answers

Answer:

∠B=∠D, ∠C=∠E, ∠A=F.

Step-by-step explanation

FE/AC=6/8=3/4, FD/AB=9/12=3/4,DE/BC=13.5/18=3/4. Since all proportions are equal to 3/4, the corresponding side lengths are proportional.

Given that E is the universal set and that A and B are subsets of E. simplify An(B-A)​

Answers

Answer:

Answer a h bro ok bye bro good luck

In the figure, ∆ALM ≅ ∆BLM by Side-Angle-Side (SAS). Which angles are congruent by CPCTC?

Answers

Answer:

C. L LAM = L LBM

Step-by-step explanation:

__________

f h(x) = x – 7 and g(x) = x2, which expression is equivalent to (g circle h) (5)?

Answers

Answer:

here is your answer

Step-by-step explanation:

here is your answer

20 POINTS- Marlene surveyed her classmates asking them whether they prefer to vacation during spring break or summer and the type of vacation preferred. The results are shown in the table.
Marlene surveyed her classmates asking them whether they prefer to vacation during spring break or summer and the type of vacation preferred. The results are shown in the table.

A 4-column table with 5 rows titled Vacation Preferences. Column 1 has entries beach, big city, camping, skiing, total. Column 2 is labeled spring with entries 35, 7, 14, 4, 60. Column 3 is labeled summer with entries 10, 2, 8, 10, 30. Column 4 is labeled total with entries 45, 9, 22, 14, 90.

Complete each statments.
About ____% of the students surveyed prefer a spring camping vacation.
About ____% of the students surveyed prefer a big city vacation.

Answers

Answer:

The answers for edge 2021 is

Step-by-step explanation:

16 and 10


Find the area of the isosceles triangle.
13 cm
10 cm
Overview
Pythagoras' Theorem - An Algebraic Approac View One Minute Version

Answers

Answer:

area of an isosceles triangle=bh/2

Step-by-step explanation:

base=10

height=13

10×13/2

=65

1/6 of ______ equals 9

What is the blank?

Answers

Answer:

54

Step-by-step explanation:

1/6 × y = 9

y ÷ 6 = 9

y ÷ 6 × 6 = 9 × 6

y = 54

Which of the following statement is incorrect? .
a.Closure property is true for subtraction of Rational numbers

b.Commutative property is true for subtraction of Rational numbers

c.Closure property is true for addition of Rational numbers

d.Closure property is true for multiplication of Rational numbers​

If you answer the question I will follow you

answer fast

Answers

Answer:

b.Commutative property is true for subtraction of Rational numbers

Step-by-step explanation:

Option B is the correct answer as it is the incorrect statment in the given options.

NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.No guessing please.

The sample space,S,of a coin being tossed three times is shown below, where H and T denote the coin landing on heads and tails respectively.​

Answers

Answer: Bottom left corner

=======================================================

Explanation:

There are only four possible outcomes here

A) we get all tails, ie getting 0 headsB) we get exactly one head (the rest tails)C) we get exactly 2 headsD) we get all three heads

Based on this so far, the answer is either the table in the bottom left corner or in the top right corner. It's not possible for X = 4 since we only flipped 3 coins.

The probability of case A happening is 1/8 since we have 1 scenario that's all tails (TTT) out of 8 items in the sample space. Similarly, the probability for case D is the same probability. We only have one HHH out of 8 total items.

The probabilities of cases B and C are the same. Both are 3/8. Note that for case B, we have HTT, THT, TTH which is three occurrences in which we get exactly 1 head. So that explains the 3/8.

Whats the equavalent to log8 64+log8 8

Answers

=log8(64x8)
=log8(512)
=3
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