8. Detemine the area of the region enclosed by the curve y = x +4 and y = x+4. %3D

Q: -1 [cos'x{ v(1-x*)}]" dx log.{1+( 1+( sin (2xv(1-x²)) TT

A: Given: - The indefinite integral is, ∫cos-1x1-x2-1loge1+sin2x1-x2πdx  To find: - The solution of the...

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A: As per the guidelines I am supposed to do the first question among multiple questions. So I am solvi...

Q: Evaluate the integral V5+ 12x2 – 4xª xdx 2x2 – 3 (2x? - 3)/5+ 12x² – 4xª + 14Arcsin V14 +C {(2x2 - 3...

A: We will use substitution method to solve it.

Q: and non-real). (Enter your answers as a comma-separated list.) x3 + 12x2 + 46x + 60 = 0

A: Given query is to find the solution of the expression.

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Q: х — 1 f(x) = }3x – 3 (-4x + 3 x 3

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Q: Given the Table of Values for the given limit, which of the following is FALSE?

A: The objective is to find the false option.

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Q: Given: [ Scos(cos2x) sin2x dx Find: du O 2cos2x dx O -2sin2x dx -2cos2x dx O 2sin2x dx O O

A:     ∫coscos2xsin2xdxLet u=cos2x.So,     du=-2 sin(2x) dx

Q: Find the point on the plane 2x+7y+8z-14 =0 closest to the point (-3,3,1). The point is (Simplify you...

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Q: Suppose that over a certain region of space the electrical potential V is given by the following equ...

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Q: . Set up the integral with represents the area of the surface z = xy that lies inside of %3D the ell...

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Q: Find all complex solutions (real and non-real). (Enter your answers as a comma-separated list.) x^3...

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Q: Find F. dr, where F = 3yi – 8x3+ (8y – 8x)k and C is a - circle of radius 8 in the plane x + y + z =...

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Q: Suppose that f(x, y) = 5x + 2y on the domain = {(x, y) | 1 < æ < 2, a² < y < 4}. D D Then the double...

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Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 4x2...

A: We will use the fact that  The Mean Value Theorem states that if a function f is continuous on the c...

Q: lim x→0 4-Vx+16

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Q: dx Given: 2x- 3xlnx Find: du 3 dx dx 3 -dx

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Q: 5- -10 10

A: Please see the below picture for detailed solution. 

Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at æ = 8 for f(x) = In(x + 1). T2(x) = In ...

A: Please see the below picture for detailed solution. 

Q: Use Lagrange multiplier to solve. Max U = x+y+z subject to xyz = 8

A: max U=x+y+z subject to xyz=8

Q: Let​ C(x) be the cost function and​ R(x) the revenue function. Compute the marginal​ cost, marginal​...

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Q: 3. y³x2 – cos- sin x² + esin x = 1 y DIFFERENTIATE THE GIVEN

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Q: implicit differentiation to find the equation of the tangent line to the function defined implicitly...

A: Topic = Functions

Q: y = log( cos

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Q: Calculate (1+ cos(y²))dA,where D is the triangular region with vertices(0, 0). (–2 - Vĩ,2· VT) e (0,...

A: Given problem:-

Q: 1 8. If y = 1+ a) Prove that y' = 0. b) What kind of functions have derivative 0 ? c) You can actual...

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Q: Find  f '(x). f(x) = (x2 + 4x)(x + 3)

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Q: 1 6. Evaluate the given integral using suitable substituion COs(V도+ 3) dr

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Q: An object is dropped from a tower, 1936 ft above the ground. The object's height above ground t seco...

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Q: dx Evaluate xV x2 - 4 브4 프2 0 8 O O

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Q: List the first five terms of the sequence a, = 3, a, = 1, an+1= 5an – 2an1 a1= Number a2 = Number az...

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Q: Given: 2х-3xInx Find: du dx X dx dx dx X

A: Given ∫dx2x-3xlnxfind du

Q: . A function f(x) that is discontinuous at a point x = a in its domain may still have a limit that e...

A: Find your answer below 

Q: Normalize the vectors complete solution Normalize the vector j = (1, -2, 5, 0, -1) Normalize the vec...

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Q: Evaluate the iterated integral by converting to polar coordinates. V2x – x2 5/x2 + y² dy dx

A: Explained below 

Q: The average student enrolled in the 20-week Court Reporting I course at the American Institute of Co...

A: Given query is to find the function N(t).

Q: Sketch the region enclosed by y = ešª , y = es, and x = 1. Decide whether to integrate with respect ...

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Q: 16. Explain the squeeze theorem using any example of your choosing.

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Q: 15 x 15

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Q: 45-56 Find the absolute maximum and absolute minimum values of f on the given interval. 45. f(x) = 1...

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Q: Question 2 Which among the following is an improper integral? 2 1 dx x[In?(3x) – 4] Inx dx le? x[In*...

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Q: What is the resulting integrable form of evx+I x+1

A: We have to find value of given Integral.

Q: Determine the value of x of: (Зх — 1 f(x) = {5 x + 2 x 2 X = 2

A: Given:    Function is given  

Q: Find the absolute maximum and minimum values of f on the set D. f(x, y) = x2 + y2 + x²y + 5, D = {(x...

A: The given question has been solved in detail Absolute Maximum value is 8 Absolute Minimum value is 2...

Q: 4x3 %3D 1. mtegrate. de - aya dx 4x3 du = 4x° dx %3D Jxt -2 xp: こ -112 du te 2(x*- 2) ° +C %3D %3D

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Q: Determine the value of x of: * (x² – 1 f(x) = { x – 1 x 1

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Q: Problem 1: An open rectangular box is to be constructed by cutting square corners out of a piece of ...

A: The dimensions of the rectangular cardboard are, suppose, l1=12, w1=14.

Q: 6. The total cost, C, in thousands of dollars, of producing x number of water tanks can be modelled ...

A: We have to find the marginal cost and domain.