Find:  ∫cosh^4 (x) sinh^5 (x) dx.

Q: Economists who study production of goods by a firm consider two functions. The revenue function R(x)…

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Q: SVy+1-20 dy = 4x(x2 + 2)dx. 2 dy can be evaluated conveniently if we let x =Vy+1-2 and True False

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Q: Sx sec? (x²) tan* (x²) dx tan5 (x²) + C 10 1 tan³ (x²) + C 1 tan1º (x²) + C 10 O none of the choices

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Q: If y = x + ex, find dx/dt.

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

Q: dy = 2/y- 5In|Vy+5| + C Vy+5 (A) True B) False

A: we will use basic integral rules and the method of integration by substitution.

Q: Question 1 1 In solving the antiderivative of f(x) = sin(x) + 3cos(x)+3 by miscellaneous…

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Q: If R is the region enclosed by 36 – 4x? - 4y² = 0 and 2x + 2y?- following sets gives R in the polar…

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Q: Give the VALUE only. No need to include the unit. * Let s, =15r +10r + 20 and s3 = 5t² + 40r, t20,…

A: We have to find time when velocity of both cars will be equal

Q: A curve is given implicitly by the following equation .2 (x + y)² + x²y = 11 Find the slope of the…

A: Given the equation of the curve is  x+y2 + x2y = 11

Q: 1 Solve the integral: 1+x + C + C C) None of the given choices 5. Inl + C 56

A: Let's find.

Q: DO NOT include spaces in between characters. And, DO NOT include dy/dx in your answer. dy given x =…

A: Given - x=sin(x+y) Now we differentiate with respect to x  d/dx (x)=d/dx (sin(x+y))…

Q: DO NOT include spaces in between characters. And, DO NOT include dy/dx in your answer. Given In…

A: A detailed solution is given below

Q: Work Problem 1 [With integrity statement] (! Let R be the region bounded by y=x+ 2, y 0, and x=2.…

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Q: Find the point of inflection for the function f(x) = 5x - 14x2- 11x+1 O (-2.2, 37.72) O (2.2,…

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Q: x² + 64 Using trigonometric substitution, given dx, the simplified form of the integral is: […

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Q: Find the derivative of f(x) = -2x Or) - 6x2 Of (x) = -6 x2 Of (x) = -6 x3 %D Or-6x* f (x) = 6 x4 %3D

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Q: II. Multiple Choice: Read and understand the statements, then choose the correct answer. - Write the…

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Q: 1 In solving the antiderivative of f(x) = 3sin(x) + 4cos(x)+ 5 by miscellaneous substitution, the…

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Q: Give the VALUE only. No need to include the unit. * Let s, =15r +10r +20 and s3 = 5t + 40f , t 2 0,…

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Q: Find the equation of the tangent line to the curve y =4x-8 at the point (3.-2).

A: Topic = Derivative

Q: dx Evaluate: (x-4)(x-1) X-1 + C x- 4 A B None of the given choices 3ln + C x-4 - 4 + C x- 1 D X- 4 E…

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 8 1 lim +00\ 5t2 + 6' 6t (?, ?)…

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Q: A/ Certain values of x and log1o x are (300, 2.4771), (304, 2.4829), (305, 2.4843) and (307,…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: 9x 4. J, 16+9x

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Q: Question 8 5x cot 5x dx, can be evaluated conveniently using Trigonometric Transformation. (A True…

A: We can evaluate the given integral by using the substitution u = csc (5x)

Q: irvature and the radius of curvature at the stated poi r(t) = 6 cos(t)i +6 sin(t)j+ 7tk; t= 2 r the…

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Q: Question 11 |In |25- x² -dx , if we let u=V25- x² , then udu= - xdx. T True F False

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Q: d d. Calculate ri(t) · r2(t)] and [ri(t) x r2(t)] first by differentiating dt dt the product…

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Q: If f(x) = x'+ 3x + 4x + 5 and g(x) = 5; find g(f(x)) %3D %3D O 5x? + 15x² + 20x + 25 O 5x² + 15x +…

A: Topic = Functions As per guidelines , At  a time only one question can be answered. please repost…

Q: Give the VALUE only. No need to include the unit. * A chemical manufacturer sells sulfuric acid in…

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Q: Given In.ry+x+ y =2. Find dy by implicit differentiation. dx

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Q: Consider the following piecewise function Quiz Content x² – 1 x 1 x2 Find the value(s) of a for…

A: Use the definition of  continuous function .

Q: Find the curvature and the radius of curvature at the stated point. r(t) = 5 cos(t)i + 11 sin(t)j+…

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Q: S sin®xdx

A: ∫sin6x dx       We have sin2 x=1-cos2x2 Then ∫sin6x dx=∫sin2 x3dx                  =∫1-cos 2x23dx…

Q: (b) O The system has no solution. 10 1 -2 O The system has a unique solution. 01 2 8. (x, y, 2) =…

A: See below the answer and explanation

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 2et…

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Q: (1) Evaluate the triple integral I zyz dV, R where R = {(z, y, z)| 0 < z < 3, -2 <y< 1, 1< z < 3}.

A: We will use simple Integration rules to solve this triple integral.

Q: Find the inte gral. Box Final Answec For the definite integral, give the exact answer only r se?- gE…

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Q: x² +64 Using trigonometric substitution, given - dx, the simplified form of the integral is: sec ede…

A: ∫x2+64x2 dxput x=8tanθdifferentiate on both siddx=8sec2θ dθ

Q: A man 6 ft tall is walking at the rate of 3 ft/sec toward a streetlight 20 ft high. At what rate (in…

A: Let's draw the diagram for the given condition

Q: Describe the surface. x² + z? = 7 O sphere O ellipsoid O hyperboloid O circular cylinder O elliptic…

A: The given surface is: x2+z2=7

Q: Vx² –25 The antiderivative of dx is x2-25- sec lx+C. A) True B False

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Q: a Derivative In Exercises 59-84, find the Finding derivative of the function. 60. y = (x² – 6)3

A: Topic = Derivative

Q: Use two iterations of Newton's Method with initial guess xo = to approximate the solution of f(x) =…

A: We have to find the value of x2.

Q: Work problem 2 " ) You must provide clear and detailed solutions for each of the following…

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Q: Find the minimum point for the function f(x) = 5x – 14x2 – 11x + 1

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Q: DO NOT include spaces in between characters. * Find the value of at the point (0,1) given the curve…

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Q: If f(x) = 2x + Ax?+ + Bx – 5, find the value of A when f(2) = -3 and f(-2) = -37 -5 -3

A: A=-15/4

Q: cos(x) 1- cos(x) by miscellaneous substitution, the substitution z=tan In solving the antiderivative…

A: Here we have to use the subsitution.

Q: Give the parametric equation of the line that passes through the point (−4, 3, −5) and is…

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