Use the product rule to answer each of the questions below. Throughout, be sure to carefully label any derivative you find by name. It is not necessary to algebraically simplify any of the derivatives you compute.

a. Let m (w) = 3 w^17 4^w. Find m ′(w) .
b. Let h (t) = ( sin (t) + cos (t)) t 4. Find h ′(t).
c. Determine the slope of the tangent line to the curve y = f (x) at the point where a = 1 if f is given by the rule f(x) = e^x sin (x).
d. Find the tangent line approximation L(x) to the function y = g (x) at the point where a = − 1 if g is given by the rule g (x) = ( x^2 + x ) 2^x .

Answers

Answer 1

Answer:

A)  M'(w) = w^16 * 4^w [ 51 + 3w In4 ]

B) h'(t) = [ cos (t) - sin (t) ] t^4  + [ sin(t) + cos (t) ] 4t^3

C)  f'(1) = e' [sin(1) + cos(1) ]

D) g'(a) = 0 - 1/2

L(x) = - 1/2 ( x + 1 )

Step-by-step explanation:

Attached below is the detailed solution of the problem

A) m(w) = 3w^17 * 4^w

M'(w) = w^16 * 4^w [ 51 + 3w In4 ]

B) h(t) = [sin(t) + cos(t) ] t^4

h'(t) = [ cos (t) - sin (t) ] t^4  + [ sin(t) + cos (t) ] 4t^3

C)  f(x) = e^x sin (x).  at a = -1

f'(1) = e' [sin(1) + cos(1) ]

D) g (x) = ( x^2 + x ) 2^x .

g'(a) = 0 - 1/2

L(x) = - 1/2 ( x + 1 )

Use The Product Rule To Answer Each Of The Questions Below. Throughout, Be Sure To Carefully Label Any
Use The Product Rule To Answer Each Of The Questions Below. Throughout, Be Sure To Carefully Label Any

Related Questions

What is the opposite of -9

Answers

Answer:

positive 9

Step-by-step explanation:

Answer:

the answer is positive 9

Step-by-step explanation:

just positive 9

Mary used 1/2 of a can of paint to cover 1/8 of the outside of her house. How many cans of paint will Mary need to cover the entire outside of her house?

Answers

Answer:

4 cans of paint

Step-by-step explanation:

Half of a can = 1/8 of the outside of the house.

2 halves = whole can of paint

8/2=4

4 cans of paint

I need help ASAP. thank you in advance!

Answers

Answer:

True, depending on where f(x) is located

Step-by-step explanation:

Understand How far apart are two parallel lines ℓ and m such that
T〈4, 0〉 (△DEF) = (Rm ∘Rℓ)(△DEF)?

Answers

Answer:

2 units

Step-by-step explanation:

Help me please! I need help ASAP.

Answers

Answer:

the answer is B

Step-by-step explanation:

I’m pretty sure the answer is b

Help ASAP!!!.

Simplify the expression:
2x + 1 + 7x

Answers

9x + 1

combine like terms.

2x−5y−z=17
x+y+3z=19
−4x+6y+z=−20

Answers

You want us to answer all 3??

show that: (1-sin x)/(cos x)=(sec x - tan x)​

Answers

This is the step-by-step explanation

Please answer correctly, I’ll give brainlest.

Answers

Your picture isn’t coming up

Answer:

[tex] \sqrt{170} [/tex]

how many metric tons are in 834.8 mg?​

Answers

Answer:

8.384

Step-by-step explanation:

Answer:

8.348e-7 metric tons

Step-by-step explanation:


Steam
To save money for his daughter's college tuition, All Invests $250 every quarter in an annuity that pays 6.2% Interest, compounded quarterly
Payments will be made at the end of each quarter. Find the total value of the annuity in 22 years
Do not round any intermediate computations, and round your final answer to the nearest cent. If necessary, refer to the list of financial formulas

Answers

Answer:

5436

Step-by-step explanation:

take 6.2 and ÷ 250 then × it by 22

A bag holds 5 pounds of pet food. If Paul uses the 5 pounds of food to fill 6 plastic containers equally how much pet food will each container hold

Answers

Answer: 13 1/3 ounces

Explanation:
1 pound equals 16 ounces
5 x 16=80
80 ounces divided by 6 containers is equal to 13 1/3 ounces of pet food.

Answer:

answer is 0.85 repeat (a line over 5)

Step-by-step explanation:

all you have to do is divide 6 from (5 ÷ 6) wich gives you 0.85 continous (a line over 5) so 0.85 with a line over it is your answer

What is the answer to thus ...?

Answers

(10/7)/(3/7) can be KCF method into (10/7)•(7/3)= 3.33 or 10/3

The price of a pair of shoes increases from $69 to $73. What is the percent increase to the nearest percent?

Answers


Answer: 5.79% or 5.8%

Step 1: Calculate the change by subtracting old cost ($69) from the new cost ($73)
Step 2: Divide that change by the old cost ($69). You will get a decimal number
Step 3: Convert the decimal number to a percentage by multiplying by 100%

Have a great rest of your day!

he sum of two numbers is 60. The greater number is 6 more than the smaller number. Which equation can be used to solve for the smaller number?

x + (x + 6) = 60
x − (x + 6) = 60
x(x + 6) = 60
x(x− 6) = 60

Answers

Answer:

x+(x+6)=60

Since the greater number is six more than the smaller number, the variable value will be of the smaller number. And since the bigger number is six more than the smaller number, it needs to be in parantheses as x plus six. But, since the value of both the numbers is sixty, the equation will finally become x+(x+6)=60

Estimate the square root of the imperfect square of 18.

Answers

Answer:

18 times four is 72

Step-by-step explanation:

If n is the least two consecutive odd integers, which of the following represents the sum of the two integer?

Answers

Answer:2n+2

Step-by-step explanation:

Juana had a board that was 54 inches long. She cut off 22.5 inches for a project. How may inches of the board remain?

Answers

Answer:

Step-by-step explanation:

4+2=5

-2323

asdasd

She has 31.5 inches remaining.

What is the measure of angle b?

Answers

Answer:

if those lines are parallel, then the m∠ = 92°

Step-by-step explanation:

The angle rule of corresponding angles or the corresponding angles postulate states that the corresponding angles are equal if a transversal cuts two parallel lines. Corresponding angles are equal if the transversal line crosses at least two parallel lines.

what does they y represent in the equation y=mx+b​

Answers

Answer:

The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Step-by-step explanation:

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept.

Question 2
1 pts
Between what two consecutive whole
numbers does
Square root212
lie?

Answers

I assume its 14 and 15

Help me Please with this Math ;(

Answers

5. The answer is 0.45 kg/pounds

6. The answer is 32 dollars per hour from (0,2)

7. The answer is 32 dollars per hour from (2,4)

AT&T charges a connection fee of 35 cents and 3 cents per minute. Verizon charges a connection fee of 45 cents and 2 cents per minute. At how many minutes does a call cost the same no mater what company you use?

Answers

Answer:

10 Minutes

Step-by-step explanation:

At&t = 3x+35

Verizon = 2x+45

2x+45=3x+35

-2x       -2x

45=x+35

-35   -35

x=10

An airplane leaves a runway at an angle of 0 .when the airplane has reached an altitude of 5000 feet it has traveled 10,000 feet in the direction it took off.At what angle (0) did the airplane leave the runway ?

Answers

Answer: no

Step-by-step explanation: if it left then it would have to be angled at least a little bit.

What are the domain and range of the function?

f(x)=35x5

Answers

Answer:

Assuming that the question is  

[tex]f(x)=\frac{3}{5x^5}[/tex]

The asnwer would be

Domain: (- ∞,0) U (0, ∞)

Range: ( - ∞,0) U (0, ∞)

Step-by-step explanation:

The domain and range of the function are:

Domain: (- ∞,0) U (0, ∞)

Range: ( - ∞,0) U (0, ∞)

Domain and  Range of function

The domain are the input values for which a function exist while the range are output value for which the function exist.

Given the function:

g(x) = 35x^5

The function can exist on all real values since we will have a correspoding value of y for every value of x.

Hence the domain and range of the function are:

Domain: (- ∞,0) U (0, ∞)

Range: ( - ∞,0) U (0, ∞)

Learn more on domain and range here: https://brainly.com/question/2264373

the 80th term of an arithmetic sequence is 110.75 and the common difference is 1.25. What is the first term of the sequence?

Answers

Answer:

12

Just plug it in [the equation] to try it to

Solve:
a.) 5(x - 2) > -15
AND
b.) x/1 - 9 < -10

Answers

Answer:

a.) x>-1

b.) x/1 - 9 < -10

Step-by-step explanation:

a.)

5(x - 2) > -15

(divide both sides)

x-2>-3

(move the constant to the right)

x>-3+2

(calculate)

x>-1

(answer)

b.)

x/1 - 9 < -10

(divide)

x-9<-10

(move the constant to the right)

x<-10+9

(calculate)

x/1 - 9 < -10

(answer)

A producer plans an outdoor concert for the weekend. The cost of the concert is $8,000 which includes advertising, security, printing, tickets, etc. The producer plans to profit $15,000 if all goes well. However, it it rains, the concert will be canceled. The chance of rain is 0.3 according to the weather report. Find the producer’s expected profit.

Answers

Answer: $8,100

Step-by-step explanation:

If it does not rain, the producer stands to make a profit of $15,000.

If it rains, the producer will lose the $8,000 they invested.

The chance of rain is 0.3 which means the chance it does not rain is 0.7.

Producer's expected profit is the weighted average of these outcomes;

= (15,000 * 0.7) + ( -8,000 * 0.3)

= 10,500 + ( - 2,400)

= $8,100

10 and 11.Is this relation a function?
у
3
6
7 6 5 4
5
3
2
.
1
.
-2 -1
-1
1 2 3 4
g
6 7
8x
8
-2
-3
Yes, this is a function. It does pass the vertical line test.
No, this is not a function. It does NOT pass the vertical line test.
11
What is the independent variable of the following statement?
Luke
goes to the store to buy some candy, The more money he has, the more candy he will buy.
The amount of candy he buys
The amount of money he has
The store he goes to
The type of money he has

Answers

10.Yes
11.Number 3

I hope this helps
Yes it’s a function and A the amount of candy

ou are at the county fair and play a game that involves throwing a baseball at target. You get 3 baseballs, and you win a prize for each target you hit. Your chance of hitting a target with a baseball is 0.74. Assuming each throw is independent of all the others, what is the probability you win at least 1 prize

Answers

Answer:

0.98

Step-by-step explanation:

Prob (Ball target & prize ) = 0.74

Prob (Ball no target & no prize) = 1 - 0.74 = 0.26

Three Balls : Prob (atleast 1 prize) = 1 - Prob (No ball target & no price)

= 1 - (0.26)^3

= 1 - 0.017576

= 0.982424

Other Questions
WILL GIVE BRAINLIEST!!!!!!!Which of the following was a long-term cause of the Thirty Years WarThe Peace of WestphaliaThe Protestant RevolutionThe depopulation of Europe what is the interrelationship between health population and environment.explain in long Name the goods and foods that went from the New World to the Old World andthe Old World to the New World during the Columbian Exchange. Use the five transactions for Martin Rentals described below to answer the questions that follow Transactions:Oct. 1 Martin purchases 2 new saws on credit at $375 each; the saws are added to Martin's rental fleet; payment is due in 30 days. 8 Martin accepts advance deposits for tool rentals of $75.15 Martin receives a $150 bill for electricity provided by Local Electric Company; payment is due in 30 days. 20 Customers are charged $750 by Martin for tool rentals; payment is due from customers in 30 days. 31 Payments of $500 are received by Martin from customers billed for rentals on October 20. please help!!! nowww !! Explain in your own words what you think dopamine? Topic is Solving Systems by Elimination. Need the work- 7x + 3y =- 242x - 4y =- 12 HURRYwrite an equation that matches this graph in Slope-Intercept Form This table gives a few (x, y) pairs of a line in the coordinate plane. What is the y-intercept of the line? Which factor does the moment magnitude scale estimate? 6. A sheet of metal is 2 cm wide, 10 cm tall, and 15 cm long. It was 4 grams. What is thedensity? is 27/2 a rational number?HELP! Find the equation of the line Y= __x +__ Which of the following is an INVERTEBRATE?A) ButterflyB) WaspC) CrabD) Frog Write an equation in point-slope form of the line that passes through the given point and with the given slope m. (-9,6); m = 6 The equation of the line is (Simplify your answer. Type your answer in point-slope form.) In 32 days, a person saved $56. What was theperson's average daily savings? The following are the last 10 run scores Colin got in cricket:1, 25, 27, 3, 23, 25, 5, 9, 26, 27a) Work out Colin's mean score.b) Colin plays cricket again on Sunday. He gets 5 runs.What is his new mean score?Give your answers as decimals The linear function m=55-8.5b represents the amount m (in dollars) of money that you have after buying b books. Find the domain of the function. Is the domain discrete of continuous? Explain. 30 students in a class took a math test 24 students pass the test what percent past What is the volume of an object if it has a mass of 10 grams and a density of 87 g/ml