Prove that the following integral can have any of the following 3 answers Ssen x cos x dx a) senx + C 2 2 b) = cos x +C c) Å cos 2x +C

Q: Find the particular antiderivative that satisfies the following conditions: dz 8e* – 3; (0) = 8. dt

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Q: das sdas :: consider the curve satisfying yll =6x and is tangent to the line y=5-3x at x=1. what is ...

A: Given that: Curve y''=6x and tangent to the line y=5-3x at x=1

Q: Suppose you solved a second-order equation by rewriting it as a system and found two scalar solution...

A: Given:     y = e4x      z = e5x   

Q: At what rate is the diagonal of a cube increasing if its edges are increasing at a rate of 4.6 cm/s?...

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Q: Let f(x) = 8x + 10 – 3e². Then the equation of the tangent line to the graph of f(x) at the point (0...

A: The given function is: f(x)=8x+10-3ex

Q: Why do exponential functions and logarithms get such a bad rap? What is there about them that makes ...

A: exponential function is a mathematical function,q mainly used to find the exponential decay or expon...

Q: Use the chain rule to find the derivative of 12 3(-10x + 8x") You do not need to expand out your ans...

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Q: Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direct...

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Q: Find the indicated derivative or integral a. D, (3** * ) c. D, log,, (x³ +9) –3x а. D, b. |x 2* dx d...

A: We know that Dx ax = ax·ln(a) Dx af(x) = af(x)·ln(a)·f'(x)   ∫ax dx = axln(a)+C   Dx loga x = 1x·ln(...

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 2 - |x| lim x-2 2 + x

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Q: 1 38. n(n - 1) n=2 IM:

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Q: 26) Using Using Power Rule [f(x))"]'= a [f(x)]a=1 f'(x) to find [(100 + 4x)3 ]' = 26) A) 12(100 + 4x...

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Q: The given two-parameter family is a solution of the indicated differential equation on the interval ...

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Q: „5/0 dz. Evaluate the integral Answer:

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Q: Describe the graph of the following systems of linear equations: 9x + 2y = -1 9x + 2y = 1 • a. depen...

A: Given that:   9x+2y=-1.   ....... (1)                         9x+2y=1.   ....... (2) 

Q: The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled...

A: Given that: D(t)=4sin πt4+9π4+3

Q: n the coffee house will not make a profit. Determine what the coffee house needs to charge in order ...

A: As per our guideline we are supposed to be answer only first three subpart of questions you can repo...

Q: VE-Vyt1 Let f : ACR² →→ R be given by f(x, y) I-y-1 Write, if any, the limit below to 4 decimal plac...

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Q: P3. Show that all of the following series converge (use the test(s) that you think is most appropria...

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Q: 5. Determine the length of the cable.

A: Follow the procedure given below.

Q: 16x8 . 22) Find 22) x4 A) 8 x B) 4x4 C) V32 x2 D) 16 x3 23) f' (x) =(3 cot x - 2 csc x)'= [ By Linea...

A: In problem 22,we find out derivative of√(16x8/x4)

Q: The radius of a circular oil slick expands at a rate of 3 m/min. (a) How fast is the area of the oil...

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Q: Evaluate the following integral: 3x sech2 (In sin(x²)) 24. 4 tan(x²)

A: Given :  Let I=∫3x sech2ln sinx24 tanx2 dx To Find: To evaluate the given integral.  

Q: (a) Find (fo g)(x). (b) Find (g o f)(x). (a) (f o g)(x) =(Simplify your answer.) %3D

A: Topic:- function

Q: Given the polar curves r = 1 – 2 sin 0 and r = -4 sin 0. Do the following: 1. Sketch the curves on t...

A: This is a question related to curve plotting. Based on the polar function given we will try to plot ...

Q: Evaluate the definite integral: 4 dz

A: Evaluating the definite integral

Q: xlnsinx?dx To evaluate using Gen. Power Formula, we let u=Insinx2 tanx2

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Q: Evaluate the integral sec 0 tan e de. Answer:

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Q: Find the norm ||A||. of each o

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Q: If f(x) = sin c, find f'(a) Find f'(4)

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Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

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Q: Evaluate the definite integral: (4x – 4) dz

A: Evaluate the definite integral

Q: с) dx + 8 (x) dx A) True B) False

A: We have to solve TRUE/FALSE

Q: 5) B 57 43° A 12 Y 7) 64° 7 C Solve each triangle. Round

A: Given that:             NOTE: As per our answering guidelines, we can only answer 1 question or 3 su...

Q: 6. x+1 f(x)= x?ーx-2 !! 8. f(x) オー1 10. sa) = {*, **1 s(x) = 0, %3D X=1

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Q: Solve for the differential equation: x (y -1) dx + (x+1) dy = 0. If y = 2 when x = 1, determine y wh...

A: To solve the differential equation. 

Q: 4 Find the arc length of y = (**) + 2(x+3)? over [1,4]. %3D (Use symbolic notation and fractions whe...

A: Here we have to find the arc length of the given function.

Q: Let f(x)= -6x^4+8x^3+72x^2 a) lim x-> +inf f(x) b) lim x-> -inf f(x)

A: Here, the given function is: f(x)=-6x4+8x3+72x2 Here, note that the leading coefficient is negative.

Q: Suppose that the weekly sales volume y (in thousands of units sold) depends on the price per unit (i...

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Q: Let f(x) = (- 3r- 9)* (6z² – 6)5 4 f'(x)=

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Q: If f(x) = x²/(4 + x), find f "(4). f "(4) = %3D %3D

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Q: find the maximum or minimum value of the function  g(x)= 100x^2-1100x

A: The second derivative test  Let f(x)  be the given function and c be the critical point of f. If f"...

Q: Use the chain rule to find the derivative of 15 f(x) = 4( – 2a + 10x')" You do not need to expand ou...

A: We can find the derivative using chain rule as below

Q: Find the linearization at x = a. y = (10 + x)-1/2, a = 9 (Use symbolic notation and fractions where ...

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Q: Let f and g be functions that are differentiable such that: f(2) = 3 f'(2) = -2 f'(3) = -4 g(2) = 3 ...

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Q: Let F(x) = f(r°) and G(r) = (f(x))° . You also know that a = 12, f(a) = 2, ƒ'(a) = 15, f'(aº) = 5 Th...

A: We know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x   Given: Fx=fx9 ; Gx=fx9a8=12...

Q: Determine the rate at which the height of the pile is increasing at the exact moment the height is 2...

A: solution

Q: P1. For each of the following infinite series: a) Determine n-th partial sum Sn b) Show whether the ...

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Q: Error Analysis. Below is the sSolulion (possibly, wilth errors) for the derivative of the given func...

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 + 9 - 5 lim X-4 x + 4

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