Find the exact average value fave Of f(x) = V4 - x between 0 and 2, then find an exact number c in [0,2] where f(c) = fave- fave c =

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. 18.% I cos(m2") dy dz

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Q: g=ズ, a find dy dx %3D

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Q: 4x d.x J V3 - 4x – 4x2

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Q: Calculus Question

A: Matrices

Q: 19. e dr dr 4 – 2² 20. dr 21.

A: 19.)∫1∞e-xdx=-e-x0∞=-e-x0∞=-e-∞-e-0=-0-1=1∫1∞e-xdx = 1

Q: Write an iterated integral for J dA over the region R described to the right using R a. vertical…

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Q: 4. If the larger of two numbers is subtracted from six times the smaller, the result is 20. If twice…

A: To solve this we have to first write the equation according to given questions

Q: ) Sypposef and g are functions with continuoUS elerivatives, and that they satisty the following. is…

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Q: Evaluate the expression. 14C11 O A. 182 В. 3003 О с. 2,184 O D. 364

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Q: Simply the integral dx using am X²+4 A a ate trigonometric substitution. S sin edo DS sec edo dS1de…

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Q: Find the sum, if it converges. Σ6 i= 1 The sum is (Type an integer or a simplified fraction.)

A: In this question we have to find the sum if the series is converges.

Q: 1 Evaluate dx. - 2x 10 + e 1 dx 2x + C 10 + e

A: To solve the following integral problem

Q: for x[z] given by z1 x[z]: 1-z2 then X[00] equal to Select one: a. 0.5 b. 0

A: B is the correct option.

Q: Find ify= xln(4x +1)

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Q: Use double integration to find the area of the plane region enclosed by the given curves. y = 81 – x…

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Q: 7. Give one example a that makes log, (x) rational but not an integer

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Q: (2))? dz: Consider the indefinite integral a) This can be transformed into a basic integral by…

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Q: 3n4 Σ Consider the series > 6n4 + 2 n=1 Based on the Divergence Test, does this series Diverge?…

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Q: (d) The curve y = x – x² from r = 0 to r = 2

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 8 1 lim t→+∞\ 5t2 +6' 8t (?, ?)

A: To evaluate the following limit.limt→+∞t2+85t2+6, 18t=?, ?

Q: Express the integral as an equivalent integral in which the z-integration is performed first, the…

A: Here,  0≤x≤4-yy≤z≤8-y0≤y≤4 To change the order of integration to dx dz dy to dz dy dx

Q: Evaluate / (x- 16)dA where Ris the region in the first quadrant enclosed between y = xand y = x².…

A: ∬Rx-16dA where R is the region in the first quadrant enclosed between y=x and y=x3

Q: Follow the instructions. Typewritten for upvote.

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Q: If y= In Cschx + coth y Biod dy

A: Given: y=lncschx+cothx

Q: Question 1 Give an integer a E Z which makes the following equality true for y = a". 7 log.ry (y) 8…

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Q: 1 Given Rn 7+i- cos 7+ i- , express the limit as n → ∞ as a definite integral, n i=1

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Q: 5. Determine the following limits. If infinite, specify ∞ or -o. If an answer does not exist,…

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Q: Question 5 3 Consider the function f(x) = Let F(x) be the antiderivative of f(x) with F(1) = 0. Then…

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Q: x")' = a xa-,(x)'=1 and (constant )'= 0. %3D x+2 Using Quotient Rule (£)' = f'g-fg') x-1 A) 2x/…

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Q: Find V × (V × F) if F(x, Y, z) 9xyj+ 5xyz k. ▼ × (V × F)

A: The detailed solution is given below Thank you

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly.…

A: Here , we have given an integral and we have to integrate over a rectangle whose vertices are given…

Q: Differentiate. 1. y = 7 2. y = 6 7. y = 72 9. y = e 8. y = 4*s 10. y= e 3. f(x) = 8* 4. f(x) = 15

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Q: 3. A particular is moving with acceleration given by a(t) = 3 cos t - 2 sin t. Given that s(0) = 0…

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Q: (y' +1)dx +(2xy +1)dy

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Q: Find an equation for the line tangent to the curve at the point defined by the given value oft.…

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Q: 13) which of the following Series convenge' 7n Ci) In hzg

A: i)∑n=1∞ 17nThe series diverges by p-series test.(∑n=1∞ 1np converges only when p>1)=17∑n=1∞…

Q: 4 sin 3xcar" 3xdx

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Q: A farmer finds that if she plants 40 trees per acre, each tree will yield 20 bushels of fruit. She…

A: Harvest

Q: Use series to evaluate lim 3x(e -2/x - 1). lim 3x (e -2/* - 1) -O X00 (Simplify your answer.)

A: We can use series to find the limit as below.

Q: Let f(x) = 2(x − 1)^2 (2x + 1) be a function. Find all critical numbers of the function and…

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Q: 5. lim X-0 e2x-1

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Q: Find the area of the region enclosed by the curves y=x2−2 and y=2.

A: Integration is done after calculating the intersection points of both the equations.

Q: A particle is moving with acceleration a(t) = 30t + 10. its position at time t = 0 is s(0) = 4 and…

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Q: Write the first 4 terms of the sequence. a1 = 5, an = - 8• an -1+9, for n> 1 What is the first term?…

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Q: The average speed f(t) (measured in kph) of traffic in a certain municipality between 4 PM to 8 PM…

A: The critical point of a function: A critical point on the graph of a function y = f(t) is a point t,…

Q: Determine if i = (1,0.-4) and w=(9,3,1) are parallel vectors.

A: Use the vector product to show the given vectors are parallel.

Q: Given r = (5, 2, 3) and s = (-4, -2, 2) and t = (3, 4, 1) %3D %3D a. Write the unit vector for s- b.…

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Q: Consider the indefinite integral le*+3 dx: a) This can be transformed into a basic integral by…

A: Explanation of the answer is as follows

Q: NOTE: Enter the exact answer. xe*y dy dx

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Q: Aiham wael manasra edited 8:06 PM A If 4x 9y = 5 is the tangent to f(a) f (x) – f(3) %3D at a = 3,…

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