Find the absolute maximum value and the absolute minimum value, if any, of the function.  f(x)=8x-(7/x) on [3,5] max= min=

Q: Find the limit and determine if the function is continuous at the point being approached.

A: This question can be solved using the concept of limit and continuity.

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A: Given a vector field as F=2xyx2+1-2x,lnx2+1-2 We need to find the scalar potential from which this…

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A: The graph will be  Option (B)

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Q: B If f(x) has a local minimum at ra, then which of the following must be true? O f'(a) > 0, f"(a) 0…

A: We have to find the correct option.

Q: ical numbers r = -1 and x = 2 are found from a continuous derivative the second derivative is f"(x)…

A: Topic:- application of derivatives

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Q: 2).  Suppose that  ∞ n = 0 an(x + 4)n  converges at  x = −5.  At which of the following points…

A: Given that, the series is ∑n=0∞anx+4n, the series converges at x=-5. Rewrite the∑n=0∞anx+4n as…

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A: Given:-

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A: Given functionf(x)=-1     if   -2≤x≤03        if       0≤x≤2

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Q: On Integration of Rational Fractions. Distinct linear factors Repeated linear factors x+8 7) 2+ 1²²…

A: 6) Given:       x+8x2+x-2=x+8x-1x+2 The partial fraction decomposition is:…

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Q: 8) About the y-axis (0, 2) л y = 2sin (x) ;0< x≤ π X X

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Q: 5.f 21 dv (v-1)(v+3)(v-4)

A: We can evaluate the given integral by using the partial fraction method.

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Q: Which of the following statements proves the series-128+96-72+54- O 2 is geometric?

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Q: 1. y'= exp (2x - y). ANS. 2e" = e²2x + c.

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Q: The base of the solid is the triangle enclosed by x + y = 11, the x-axis, and the y-axis. The cross…

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Q: For each positive integer n, define an = n² sin +∞ 1. Determine if the sequence {an} converges or…

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Q: 2. Use Green's theorem to evaluate fe e-x³ dx + (5x + sin(y²)) dy, where C is the circle x² + y² = 4…

A: Please see the below picture for detailed solution.

Q: 21. 22. 8) For problems 21 and 22, consider the graph of the function below. Determine the intervals…

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Q: I. Find the solution set of the following. 4. cos ¹(2x) + sin¯¹ √√1 − 4x² = π

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Q: Consider the function f(x) = (4-5x)7. Find the second derivative f" (1). O7(4 – 5z)® O-35 (4-5x)6…

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Q: 4. S 10 dx 4x3-4x²+5x

A: Let's solve given integral by using quadratic factors.

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A: We have to find the solution .

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Q: Q/ Evaluate the following integrals. S f sec40 tan²0 de

A: W have to find the integral.

Q: 1. Eliminate the Y= arbitrary constant 2x 2x Ae ²x + Be²x

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Q: I Sketch the area bounded by x² + 2y = 4 and x+y+2=0 and determine: d) area using horizontal strip…

A: Solution is given below:

Q: Thank you for your help! Also, what was the 3rd digit for the 4.04?

A: I think you need all answers having three decimal places. So,i am uploading all the answers with…

Q: (a)Show that F is a conservative vector field. f(x,y,z) = (b)Find a potential function for F.

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Q: 7. Solve for cot NI 2 if cos(20) = |L0 5 and P(0) E QIV.

A: Given: cos2θ=-45 To find: cotθ2

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Q: 3. Find the domain of f(x) = = 1 1 X X 3.3

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Q: 1. Which of the following is the solution to the differential equation = y³e²² that satisfies the…

A: According to bartleby guidelines when student post more than one question then expert must have to…

Q: What is the equation of the tangent line to the curve y=−5x^2+4x+7 at x=-1? Write the answer in…

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Q: IV. Fill in the blank to make each statement true. Use correct notations. 3. If a polynomial…

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Q: Consider the graph below and determine the open intervals on which the function is increasing and on…

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Q: OS ng n Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of…

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Q: Which of the following grapins represents (x2}? + y + 47 = 25? - d 7 - 4 41 층 4 $ 4 2 .

A: The given equation is: x-22+y+42=25 First, draw the graph of the given equation.

Q: y = √√x S 0 10 5t cos (¹0) de dt

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Q: I. Find the solution set of the following. 2(1 + cos x) sin x 3. tan X 2 x = [0, π] 1.3

A: Solution 1.3 Given, tanx2= 2(1+cosx)sinx,  x∈[0,π]