10. Find the average value of the function f (x) x + Vx %D on the interval xe[0,8]. Graph on Desmos.

Q: 12 10 12 | f(æ) dæ = 9, | f(x) da = 14, | f(x) dz = 5. Suppoe 6. 11 Then 11 | f(x) dx = Σ %3D 10 10…

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Q: (3e² + 5æª + 6 cos a + 2)dx : 3e? + x + 6 cos a + 2x + c 3e + a + 6 sin a + 2x + c et - x5 + cos z +…

A: Given problem:- ∫ (3ex+5x4+6cos(x) +2) dx

Q: Let f(x) За? — Зх — 1. - f(x + h) – f(x) - Expand and simplify: h

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Q: Find the absolute maximum value of f(x) = x² – 2x + 12 over the interval (0, 4]|

A: The absolute vale in the interval [0,4] for f(x) will be either at critical points or at end points.

Q: Use a plane transformation to evaluate ∫∫R x dA, where R is the region enclosed by x − 2y = 3, x −…

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Q: Find the point on the line y = 1 – 6 that is closest to the origin. Give your answer in the form (a,…

A: We have to find a point on line which is closest to the origin.

Q: 16 – 8x f(x): x2

A: Follow the procedure given below.

Q: Write the equations in cylindrical coordinates. (a) 7x2 - 8x + 7y2 + z2 = 7 (b) z = 2x2 – 2y²

A: We have to find cylindrical form of the given equation.

Q: The value C for the solution of the initial value problem f'(x) = x2 – 6æ + 2, given that f(0) = 0.…

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Q: 3 | (16t³ – 9t² + 7)dt Evaluate:

A: Given problem:-

Q: 1 S dx 1+x3

A: First we take partial fraction.

Q: : / (12t³ – 12t² - + 7)dt Evaluate:

A: Solve the definite integral

Q: Find the absolute maximum value of f(x) = x2 – 2x + 18 over the interval [0, 5]

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Q: lim a. x° + 3 6x lim b, x + 4 6х - 5

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Q: |(4e" + 4x + 7 cos a + 2)dæ =, O et – x4 + cos a + 2+c - O 4e? + x4 + 7 cos x + 2x + c O 4e? + x4 –…

A: We have to find value of given Integral.

Q: The graph of r = -9 cos e has which of the following characteristic: O circle; diameter of 9; center…

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Q: Hello, We are in the financial math chapter. If the population of polar bears in the Beaufort Sea…

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Q: Evaluate: (12t3-9t2 + 7)dt

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Q: 2x²+5 Given f(x) : %3D 5x2-1

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Q: the equation z=sqrt((x^2+y^2)/2) in spherical coordinates

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Q: The vector v and its initial point are given. Find the terminal point. v = (4, -9); Initial point:…

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Q: Use the rules for sums of powers of integers to compute the sum. 17

A: Given : the summation of k2, k from 3 to 17.

Q: Find the point on the sphere X+y+=4 and the point on The sphere x+y ansi- 2 Selution:-

A: To find the point on the sphere which is farthest from the given  point (1,-1,1).

Q: Write the sum using sigma notation: A 9+ 13+17+21+-..+ 37 > B, where 72 A

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Q: Find the most general antiderivative or indefinite integral. Use a capital letter C to denote an…

A: To evaluate the given integral.

Q: In Exercises 19 through 22, find the direction cosines of the vector V(P,P2) and check the answers b…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: x-8 1. limx-2 x-2

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: (4e²+7x°+5 cos z + 2)dx

A: Solve integration

Q: The antiderivative of the function 4 + 10x is. x2 f(æ) = 4 + 5.0x2 + c - -4 5.0x2 + c -10 + 2.0x2 +…

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Q: Find the Jacobian of the transformation. x = 4e sin(20), y = er cos(20) a(x, y) a(r, 0)

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Q: Consider the region R in the first quadrant bounded by x^2 + y^2 = 4, y = x and y = x/sqrt(3). (a)…

A: The given region is bounded by: x2+y2=4,y=x,y=x3

Q: Evaluate the following. Show your complete solution (Handwritten).

A:

Q: A printed page is to contain 60 cm2 of printed material (not including the margins) with margins (on…

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Q: If f (x) dx = 5, | f (x) dx = 3, and f (x) dx = 12, then f (x) dx :

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Q: 10. What is the amplitude and period of the sinusoidal regression equation given below? y =…

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Q: Show that 2x* dx = [* 2x° dx + f, 2x* dx + f; 2x° dx %3D

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Q: Find the orginal function of this A Fx) =-1 (B) Frz)= X +1 ニー re Fez) s -x+3 tan x - sec3x

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Q: 1 dx 1+x3

A:

Q: The two planes given below intersect along line l. Determine the distance from point P (2, 3, –1) to…

A: This question can be solved using the concept of line and plane in three dimensional geometry.

Q: Find the most general antiderivative or indefinite integral. Use a capital letter C to denote an…

A: Solution of question is written in below steps.

Q: COSX - dx sin²x-5sinx-6

A: The integral is given by I = ∫cosxsin2x-5sinx-6dx                             ...........1

Q: Find the volume of the solid that results when the region enclosed by 4x 0, x = 1, and y = 0 is…

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Q: Use the Product Rule or the Quotient Rule to find the derivative of the function. f(x) = (3x² +…

A: We can find the derivative using product rule as below.

Q: Question 10 bounded by the curves Let D be the region y = 72-x², x= 1 and y=x 2 a) Draw the enclosed…

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Q: Find the angle 8 between the vectors in radians and in degrees. (Round your answer for part (a) to…

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Q: 3x-9 dx gi S Vx3-9x-3

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Q: Determine whether the planes are parallel, orthogonal, or neither. 2x - 10y - 2z - 1 2x - 10y - 2z =…

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Q: The value C for the solution of the initial value problem f'(x) = x² – 6x + 2, given that f(0) = 0.…

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Q: The antiderivative of the function f(x) = 4 + 10x is + 5.0x? + c 4 5.0r? +c 4 + 20.0z? + c + 5.0z?…

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Q: The antiderivative of the function f(x) 5 + 10x is

A: