use the inner product =∫01f(x)g(x)dx in the vector space c0[0,1] to find , ||f|| , ||g|| , and the angle θf,g between f(x) and g(x) for f(x)=10x2−6 and g(x)=−6x−9 .

Answers

Answer 1

The value of acos(-7/6) is not a real number, we can conclude that the angle θf,g does not exist in this case.

Using the inner product =∫01f(x)g(x)dx in the vector space c0[0,1], we can find the norm of f(x) and g(x) as:

[tex]||f|| = sqrt( < f,f > ) = sqrt(∫0^1 (10x^2 - 6)^2 dx) = sqrt(680/35) = 4||g|| = sqrt( < g,g > ) = sqrt(∫0^1 (-6x - 9)^2 dx) = sqrt(405/2) = 9/2[/tex]

To find the angle θf,g between f(x) and g(x), we first need to find <f,g>:

[tex]< f,g > = ∫0^1 (10x^2 - 6)(-6x - 9) dx = -105/5 = -21[/tex]

Then, using the formula for the angle between two vectors:

cos(θf,g) = <f,g> / (||f|| ||g||) = -21 / (4 * 9/2) = -21/18 = -7/6

Taking the inverse cosine of both sides gives:

θf,g = acos(-7/6)

Since the value of acos(-7/6) is not a real number, we can conclude that the angle θf,g does not exist in this case.

To know more about real number refer to-

https://brainly.com/question/10547079

#SPJ11


Related Questions

Please help explain. I’ve came up with 3 wrong answers

Answers

The answer is skdkdksjxsjdjsj hope this is what your looking for

Answer:

step 1. The volume of a cylinder (V) = (pi)R^2(h).

step 2. if the volume of a similar cylinder is 88ft^3 with R =2ft

step 3. then the cylinder with R = 5 would be (5/2)^2 bigger.

step 4. the volume of figure A is 88(5/2)^2

step 5. V = 88(5/2)^2 = 550ft^3.

Does anyone know if I did this right?? Please help me

Answers

Answer:

you did this right

Step-by-step explanation:

184329 rounded to the nearest 100

Answers

Answer:

184300

Step-by-step explanation:

Answer:

184300

Step-by-step explanation:

the tens place is less than 5 so the hundreds place will stay the same

(when rounding all numbers after the one being rounded will turn to 0)

Ms. Mathews wants to put a fence around the north, south and east sides if her square garden. The garden has an area of 100ft2. How much fencing does she need?

Answers

Answer:

30 feet

Step-by-step explanation:

3 sides of x feet each

area=x^2=100

x=10

10 x 3 = 30 feet

PLease help!! I will give brainliest for the right answer!!

Answers

Answer:

angle CDE is 10 degree

Step-by-step explanation:

As angle C is 90

Angle E is equal to angle B which is 80 (180-100)

so 90+80+X=180

X=180-170

X=10

A dealer of electric oven sold an induction heatet at Rs.4,200 with 13% VAT to a retailer. The retailer added transportation cost of Rs.250, profit 15% and local tax Rs.150 and sold to a costumer. How much will be paid for that heater if he/she has to pay 13% VAT​

Answers

Answer:

$6,619.42.

Step-by-step explanation:

Since a dealer of electric oven sold an induction heater at Rs. 4,200 with 13% VAT to a retailer, and the retailer added transportation cost of Rs. 250, profit 15% and local tax Rs. 150 and sold it to a costumer, To determine how much will be paid for that heater if the consumer has to pay 13% VAT, the following calculation must be performed:

((4,200 x 1.13) x 1.15 + 250 + 150) x 1.13 = X

((4,746 x 1.15) + 250 + 150) x 1.13 = X

(5,457.9 + 400) x 1.13 = X

5,857.9 x 1.13 = X

6,619.42 = X

Thus, the price to be paid by the consumer will be $ 6,619.42.

reflect...........................................

Answers

Answer:

F ( -1,4)

E (-1,2)

G (-4,5)

Step-by-step explanation:

Answer:

on what

.....................

10 points
8. The ring system around Saturn has a diameter of 170,000 miles. Find
the circumference around the ring system, to the nearest whole number.
If Saturn diameter is 72,367 miles. What is the area of Saturn to the
nearest Whole number? *

Answers

Kfkfkkfkdkdkdkkd24.006

Myra is planning to purchase a recliner that costs 1,490 .the installment plan offered at the furniture store requires a 12% down payment and 20 monthly payments of $71 each .

Answers

Answer:

what is the question?

Step-by-step explanation:

Answer:

okay

Step-by-step explanation:

but whats the question tho u gave us the info so whats the question

Help me please :( I’m going to get beat if I don’t do these topics it’s finding the angles measures given two parallel lines

Answers

I think both of the answers are 38 because if you take it’s a supplementary angle eight equals 180 so one +2 equals 180 so if Angle measurement one equals 142 you take 80 and subtract it from 142 and you get 38 angle measurement seven is 142 and this is because it’s over 90° and it’s a bigger angle than eight is so yeah she would be 38 for both

A 1kg book is lifted 2m. How much work was done?

Answers

Answer:

work= force ×distance

force= mass × acceleration due to gravity

mass= 1kg

acceleration=10

Force=1×10=10N

Work=10×2=20joules

The  work done is 20 joule.

What is Work done?

It should be converted to energy in order to move an object. Energy can be transferred by the use of force. Work done refers to the amount of energy used by a force to move an object.

Given:

mass, m= 1 Kg

So, force = mg = 1 x 10 = 10 N

and, displacement = 2m

Now, work done= force x displacement

                           = 10 x 2

                           = 20 Joules.

Hence, the work done is 20 joule.

Learn more about work done here:

https://brainly.com/question/13662169

#SPJ2

HELP I forgot how to do this (show work please)

Answers

The answer is 23[tex]\sqrt{x} \pi[/tex].

Sorry that I didn't explain and made it short my annual examination is going on but I really wanted to help you.

1) John spent $36 to buy 4 basketballs. What was the price per basketball?

Answers

$9
36 divided by 4 is 9

cual es el resultado de -4+5/3​

Answers

Answer:

English translate so i can help you ? :)

Step-by-step explanation:

The graph shows the number of each size T-shirt a store currently has in stock. Which statements are true?

Choose exactly two answers that are correct.

Question 3 options:

The ratio of large to small T-shirts is about 4 to 1.

There are more than 35 small and extra small T-shirts.

There are about twice as many large T-shirts as small T-shirts.

There are fewer than 100 T-shirts in all.

Answers

Answer:

medium, extra large

Step-by-step explanation:

BRAINLIEST PLEASE

there are fewer then 100 t shirts
the ration of large to small tshirts is about 4 to 1
they are both correct

The system of equations y=-3x+2 and y=1/2x-6 is shown on the graph below

Answers

Answer:

Step-by-step explanation:

What's the question?




hi guys













i need help only 19​

Answers

y = 2/3x + 11/3

slope: (y2-y1)/(x2-x1) = (5-3)/(2- -1) = 2/3

point intercept form: (y-y1) = m (x-x1)
(y-3) = 2/3 (x+1)

solve for y
y-3 = 2/3x + 2/3
y = 2/3x + 11/3

THIS IS GEOMETRY I ONLY ahve 10 MINUTES PLEASE HELP THANK U

Answers

Answer:

i need a photo or an equation TvT

Step-by-step explanation:

TvT TvT TvT

There’s not question thought :/

can someone help me find the area and perimeter please?​

Answers

Answer:

Step-by-step explanation:

Remember that the formula to get the area of a right triangle is base times height divided by 2, so to find the area:

5 x 12 = 60/2 = 30

Area of this triangle is 30.

To find the perimeter, add all the sides:

5 + 12 + 13 = 30.

Perimeter of this triangle is 30.

[tex](9x2-2x+1)-(3x2+5x-8)[/tex]

Answers

Answer:

(6x² - 7x + 9)

Step-by-step explanation:

Given:

(9x² - 2x + 1) - (3x² + 5x - 8)

Find:

Value of equation

Computation:

(9x² - 2x + 1) - (3x² + 5x - 8)

(9x² - 2x + 1 - 3x² - 5x + 8)

(6x² - 7x + 9)

HELP FOR BRAINLIEST + 5 STAR RATING + THANKS
what exactly is standard deviation? and pls gimme an example

Answers

Answer:

The standard deviation is the average amount of variability in your data set. It tells you, on average, how far each score lies from the mean.

The standard deviation measures the spread of the data about the mean value. It is useful in comparing sets of data which may have the same mean but a different range. For example, the mean of the following two is the same: 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30. However, the second is clearly more spread out.

Step-by-step explanation:

9*10^7 is how many times as large as 3*10^-2

Answers

3000000000 Times, sorry if it’s wrong

how many solutions 9x +2y =9 -3x + y=2

Answers

Answer:

4

Step-by-step explanatio

Answer: 4

Step-by-step explanation:

jiubpuunuibu

On Monday, the baker makes 35 blueberry muffins.
What is the total number of muffins that the baker makes on Monday?

Answers

Answer:

We don't know

Step-by-step explanation:

enWe know that the baker makes 35 BLUEBERRY muffins BUT we do not know how many OTHER muffins he makes. If he just has blueberry, then he would be making 35.

Hope this helps! Have a great day :)

A cube has edges measuring 6 inches each. What is the volume of the cube?

Answers

Answer:

6*6*6 = 216

Step-by-step explanation:

If each edge is six inches the volume of the cube will be 216 cubic inches. The edges of cube are six inches long what is the volume? 6*6*6 = 216

What is the volume of this?

Answers

Answer:

1728 m³

Step-by-step explanation:

[tex]A_{triangle}[/tex] = [tex]\frac{7.2*4.8}{2}[/tex] = 172.8 m²

V = 172.8 × 10 = 1728 m³

Find the roots of the equation: f(x)=64x2+6=31

Answers

Answer:

5/8, -5/8

Step-by-step explanation:

64x^2 = 25

divide both sides by 64

x^2 = 25/64

take the square root of both sides, and the negative square roots

Answer:

x = 5/8=0.625 and x = -5/8=−0.625

Step-by-step explanation:

f(x)=64x^2+6=31

Subtract 6 from both sides.

64x^2+6=31

Subtract 6 from 31 to get 25.

64x^2=25

Divide both sides by 64.

x^2=25/64

Take the square root of both sides of the equation.

x=5/8=0.625

x=-5/8=−0.625

Write the equation of the line that passes through the points (-4,8) and (-2, -1).
Put your answěr in fully reduced point-slope form, unless it is a vertical or horizontal
line.PLEASEEE HELPPP MEE

Answers

Answer:

y=-9/2x-10

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-8)/(-2-(-4))

m=-9/(-2+4)

m=-9/2

y-y1=m(x-x1)

y-8=-9/2(x-(-4))

y-8=-9/2(x+4)

y=-9/2x-36/2+8

y=-9/2x-18+8

y=-9/2x-10

The ratio of containers of orange juice to containers of grape juice in a store is 5 orange juices to 4 grape juices. If there are 405 containers in the store, how many are grape juice?

Answers

Answer: There are 180 grape juice in the store

Step-by-step explanation:

The ratio of containers of orange juice to containers of grape juice in a store is 5 orange juices to 4 grape juice which can be expressed as 5:4

Total number of containers = 405

total ratio = 4+5 =9

The number of containers that are orange juice  = 5/9 x 405

=5 x 45=225

The number of containers that are grape juice will now be = 4/9 x 405

=4 x 45= 180.

helppppppppppppppppppppppppp

Answers

Answer:

The value of f(2) is -9.

Step-by-step explanation:

You look for the x axis and count 2, then go down until you reach the line.

Plz mark me as Brainliest plz

Other Questions
What prediction does the passage from Amos offer about Israelites society Bianca deposits $3,000 in a savings account earning 4.25% simple interest per year.How much interest will Bianca earn for a period of 3 years? Crystal Glassware Company has the following standards and flexible-budget data. Standard variable-overhead rate $ 6.00 per direct-labor hour Standard quantity of direct labor 3 hours per unit of output Budgeted fixed overhead $120,000 Budgeted output 20,000 units Actual results for April are as follows: Actual output 18,000 units Actual variable overhead $432,000 Actual fixed overhead $115,000 Actual direct labor 65,000 hours Required Use the variance formulas to compute the following variances. (Indicate the effect of each variance by selecting "Favorable" or "unfavorable". Select "None" and enter "0" for no effect (i.e., zero variance).) 1. Variable-overhead spending variance 2. Variable-overhead efficiency variance 3. Fixed-overhead budget variance 4. Fixed-overhead volume variance SOMEONE HELP ASAP. THIS IS DUE IN A FEW HOURS AND THE LAST QUESTION I NEED.It will be much appreciated, and I will add rewardsIgnore the 18/15=1.2, I am in a rush Kris had 22 stickers and got 16 more Matt had 18 stickers.then he got some number of stickers.how many stickers did Matt get . A beam has the extruded cross section shown below, where t-20 mm. 5t 2t t'2t % Matlab input: t-20; Mz-1793; Find y, i.e., the signed distance from the z'-axis to the z-axis, where z is the centroidal axis of the cross section. Determine the moment of inertia I with respect to the centroidal axis z. 6 x10 mm'4 Determine the absolute value of the maximum tensile normal stress when the cross-section is subject to the moment M2- 1793 N. m MPa 4. One of Americas basic values is that of equality? How is equality described? Everyone in a society has the same basic rights. Everyone in a society tries to stand out as unique. Everyone in a society has the same kind of job. Everyone in a society defines freedom the same way. Any answer helps! Thank you On the basis of the hemoglobin similarity, what organisms appear to be most closely related to humans? Explain your answer this egyptian leather scrap gives clues about ancient bookbinding techniques. what value does this hold for the muesem that preserves it Executive branch led by a president u.s constitution or Articles of confederation Type the correct answer in the box. Round your answer to the nearest whole number.The mass of Venus is 4.87 1024 kilograms, and the mass of Jupiter is 1,898 1024 kilograms.The mass of Jupiter is about _____ times the mass of Venus. This is actually for my Earth and Space science class but Im really curious if anyone know the culture of the people on the Kuril Islands. I cant find it anywhere. Greta has two pet lizards, Draco and Lizzy. For every 11 crickets Greta feeds Draco, she always feeds Lizzy 8 crickets. Last week, Greta fed Draco 77 crickets.How many crickets did Greta feed Lizzy? How to use this program How can you compare the rates of effusion of two gases in a mixture? Correctly classify each of the following compounds as highly soluble or as either slightly soluble or insoluble in water. The measure of The parent function f(x) = 1.5x is translated such that the function g(x) = 1.5x + 1 + 2 represents the new function. Which is the graph of g(x)? pls help soon someonealso commment down below if can help me with these questions and i will message youplease do it because i dont have money to pay for a one on one toutor i just need help for 7 questions