Evaluate the integral. (Use C for the constant of integration.) cos dx COS -x cos-sin()+C x

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A: Explained Below:Explanation:(a) We are given the function for the rate at which unprocessed gravel…

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A: The expression N = grad(s) means that N is defined as the gradient of the scalar function s. The…

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A: f′(x)=5exe−1−4exExplanation:

Q: Find all solutions of the equation in the interval [0, 2π). tan 20+2 sec0=-1 Write your answer in…

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Q: Express log,A, where A 14 4 3 , , in terms of the logarithms of prime numbers. log₁A = √20 7 148

A: Let me know if you have any doubts. Please rate my answer.Explanation:Step 1: Step 2: Step 3: Step…

Q: To complete the process legible

A: To prove the Second Derivative Test for a strict local maximum. We'll assume thatf:Rn→R is a…

Q: ☐ Let 60, 61. Which of the following must be true if y = log(x)? Check all that apply. ☐ y = b² 1 y…

A: Option C is correct Option D is correct Explanation:

Q: Let 60, 61. What is the derivative of the function y = log(x)? 1 -In(x) In(b) b* In(b) 1 In(b) X e*…

A: Option C is the correct option.ln(b)⋅x1​ Below in the explanation part there is detailed solution of…

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A: Let x be the side length of base square Let z be the height of the boxThe figure of box

Q: would greatly appreciate if you could solve this please

A: (a)A=41​,B=43​(b)x2​=0.7612x3​=0.7673Explanation:Step 1:Step 2: Step 3: Step 4:

Q: Calculus I May I please have the solution for the following question? Sketch an accurate graph…

A: THE ANSWER IS IN THE EXPLANATION PART.FEEL FREE TO ASK ANY OF YOUR DOUBTS AND COMMENT IF YOU FACE…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: f′(x)=−(3x−5)23​Explanation:Step 1:Step 2: Step 3: Step 4:

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A: To find the volume of the solid generated by revolving the region bounded by the parabola  and the…

Q: Find the derivative of y = cos A with respect to x. The derivative of y = cos ( 0- with respect to x…

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Q: To complete the process legible

A: The answer is shown.Explanation:Step 1:

Q: Q.2

A: The answer is given below.Explanation:

Q: > Next question dy Given the equation below, find dx 9x+2xy + y = 12 dy dx = - 18x7 (4+5x37) 2x45…

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Q: Let f : R → R be a function defined as f(x) = ⌊x⌋, where ⌊x⌋ denotes the greatest integer less than…

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A: We need to solve the sinsoudial model problem.

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Q: πT 0 3 2 4 tan(x) sec(x) * dx_ ´

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Q: 2 Find the point on the sphere x²+ y²+z²=4 farthest from the point (1,-1,1)? ans.i- 2 (금) v i

A: Let the point  on the sphere which at largest distance from the point By using distance formula Let…

Q: Find dy dx y=9lnx+5 loggx

A: dy/dx=9/x + 5/(x*ln9)Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Describe the motion of a particle with position (x, y) as t varies in the given interval. x = 7…

A: We have to find the motion of the particle: .Clearly, for different values of t we can get different…

Q: f'(x) = ƒ' (e³) = f(x) = (ln x)7

A: ∙  f′(x)=x7(lnx)6​∙  f′(e3)=e35103​Explanation:

Q: 8) The volume of the region in the second quadrant bounded above by y=-x3, below by the x-axis and…

A: The objective of this question is to find the volume of the region in the second quadrant bounded…

Q: Use implicit differentiation to find x³+3x²y+y³=8 dy dx

A:

Q: 2. Consider the region S bounded by the curves 1 y=x+ and y=x- 14 a. x" for x≥1 Is the area of S…

A: The objective of this question is to determine whether the area of the region S bounded by the…

Q: I+t #1 Let r(t)=(x(t), y(t), z(t)) = (1-{², t- ½, ±). (a) Find the moment of time to and the point…

A: Image attached.Explanation:a)  b)

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A: ​Saddle point at (310​,35​)No local maximum, No local minimum​Explanation:Step 1:​Given a…

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A: Therefore, the required answer is $2,802,379Explanation:Step 1: Step 2: Step 3: Step 4:

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A: The limit of the function f(x) at x= -6   exist if =

Q: Express log3A, where A = numbers. 14 4 in terms of the logarithms of prime 7 √20 √/148 attempt left…

A: Refer the image posted in explanation for the answer .If you have any further questions or if…

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Q: Problem 1. Prove Theorem 6.14 which is given below. Theorem (Second Derivative Test). Suppose that ƒ…

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A: The objective of the question is to find the derivative of the function f(x) = -6 ln(x) + 13x^2 - 7.

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Q: #3: Solve the initial value problem "+2y-63y0, y(0) = y(0) 1, y'(0) = -1

A: Given initial value problem