6. Which of the following integrals cannot be evaluated using integration by parts? A. ſe-*sin2x dx dy B. S arccot/x dx C. S sin(Int) dt D. S - (4y2+1)7

Q: solve with complete solution, tell whether the improper integral is convergent or divergent

A: Yes the improper integral is convergent. see below the answer and calculation

Q: 23. Find two numbers whose sum is 10 and the sum of their squares is a minimum.

A: Let the two numbers be  x and yx+y=10⇒y=10-xx2+y2=SS=x2+10-x2   =x2+x2-20x+100   =2x2-20x+100

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A:

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A: Let's find.

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A:

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A: We can solve as follows

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A: We have to apply circular discover method to solve the problem

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A:

Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x)dx. Write the given…

A: To find out the value of integral using the midpoint rule.

Q: FOLLOW

A:

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A: Let's find.

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A:

Q: .5 2. 2. dx =D dx- (6+z*) o o (x²+9)½ 's (x²+9)½

A:

Q: Consider f (x) = 5 cos (2x). Using the given function at xo 0, approximate f (2n/3) by making use of…

A: Let's find.

Q: Let g(8) = (2s – 1)°. Then g'(8) is 9'(1) is 9'"(8) is and g''(1) is

A:

Q: Еxample 5 1 1- Vxdx ха 0,

A:

Q: sech2(In x)

A:

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A: Volume of the box

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A:

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A:

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A: We have to find the cos angle

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A:

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A: given : Total oil production T(t) = −1000(t + 11)e−0.1t + 11,000   Production at time t given by

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A:

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A: As required, draw a horizontal stripe as shown:

Q: 1. sin 0 =

A: answer is in next step

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Q: 21. 3* 3=*-x+'(12x² – 4) dx

A:

Q: y = xx, x-4, and y =0 Revolve the area of the shaded region about the line x- 4. Using circular disk…

A:

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A: Solve the following

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A: To Find : Values of the given functions.

Q: y y =x - 4 y =/2x + 8 4 6 10 x -2- -6+

A: Area bounded by the curves :   If f(x) and g(x) are two continuous function on a,b and f(x)≥g(x) on…

Q: 4. S 9-x- dx

A: Given problem:-

Q: dy (1- y)

A:

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A: We have to solve above question

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A:

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A: The objective of the question is evaluate area bounded by the given function and use the vertical…

Q: Twenty-five

A: We will find the probability.

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A:

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Q: 3 1 - dx 2 2. cos sin X

A: solution:-∫cos4xsin3x1x2 dxlet 1x=t-1x2dx=dt=-∫cos4tsin3t dtWe know that the formula  2cosAsinB =…

Q: Let F(x) = You also know that a = 10, f(a) = 2, f'(a) = 15, f'(aª) = 11 f(x*) and G(x) = (f(x))“ .…

A:

Q: If f(z) = 4,/ In(x), find f'(x). Find f'(2).

A: Given function:fx=4xlnxWe need to find f'x and f'2.We will use the following…

Q: -1 Su(u² + 3)! du

A: We need to solve integral.

Q: Example:- Find the general solution of 1) xdy – ydx = 0 2) xcosh(y)dy – sinh (y) dx = 0 3)2dx –…

A: We need to find general solutions.

Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

A: h(x,y)=x^3-3x+3xy2 for critical point  ∂h∂x=0∂h∂y=0 ∂h∂x=3(x^2)-3+3y^2∂h∂y=0-0+3x(2y)for critical…

Q: dv 4.)Prove that f -Incosv + Insinv + C sinvcosv

A:

Q: Find the absolute maximum/minimum value for f(x)=x² – 4x+1 on the interval [(-3, 3] 9.

A: Given: fx=x2-4x+1 and x∈-3,3   The Power law: ddxxn=nxn-1

Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

A: Solution: Given data, h(x,y)=x3-3x+3xy2

Q: 6. Compute and write the slope of the tangent lines to dx y - xy +6 = 0 at the point (5,2). a. b. 2y…

A: