Compute/o . Show your work.

Q: 2. If f(x) and g(x) are continuous functions, then " g(x)] dx = | f(x)dx• g(x)dx. 3. If f(x) and…

A: Note :As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: 8. Which of the following is the solution to the equation sin? x+ 3sin x - 4 = 0 0° 90° + 360k 90°…

A: Given query is to find the solution of the function.

Q: Use the Ratio Test to determine the radius of convergence of x" Σ Vn : 11" n=1 Then determine…

A: Let's find.

Q: S 2x(x² – 2x)dx

A: Solving the problem by finding the value of the integration.

Q: Find the area of the surface generated when the indicated arc is revolved about the y-axis. y=x^2…

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Q: Write the equations in cylindrical coordinates. (a) 7x2 - 8x + 7y2 + z2 = 7 (b) z = 2x2 – 2y²

A: We have to find cylindrical form of the given equation.

Q: 6.26. у - 3у %3D0

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Q: 5) y=-4, y=x² - 4, x= 2 Axis: y = 2 Find the volume of the region that revolves around the given…

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Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y2, (12,…

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Q: What is the area of the region I from the following sketch of graphs? 11

A: Given problem:-

Q: 11. Find the cosine of the measure of the angle between A and B.

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Q: Let f(x) be the function 2x – 11x + 5. Then the quotient f(5 + h) – f(5) can be simplified to ah + b…

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Q: Example: A pilot is flying over a straight highway. He determines the angles of depression to two…

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Q: Find the absolute maximum value of f(x) = x² – 2x + 12 over the interval [0, 5]

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Q: |(3e" + 5z" + 6 cos a + 2)dr = 3e" +a* + 6 cos a + 2r + c ez - a + cos a + 2+c 3e* + 25 + 6 sin z +…

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Q: х—1 dx x4-1

A: Solution of question is written in below steps.

Q: 29. Find the volume of the parallelepiped PQRS if the vectors V(PQ). V(PR), and V(PS) are,…

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Q: The piecewise function f(x) is graphed below. Use geometric formulas to evaluate the following…

A: From the given graph;

Q: Question 3 To solve the indefinite integral da we will use substitution method and let u = The…

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Q: х—1 dx х4—1

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Q: denote In°(x) dæ

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Q: Vx+5-3 lim X→4 х—4

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Q: 23. Find the area of the triangle having vertices at (0, 2, 2). (8., 8, -2), and (9. 12. 6).

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Q: . A-line perpendicular to the plane 3x-4y+z=1 passes through the point A(-1,3,2). Find the…

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Q: COSX - dx sin²x-5sinx-6

A: The integral is given by I = ∫cosxsin2x-5sinx-6dx                             ...........1

Q: Show that the quadrilateral having vertices at (1, 1,3), (-2,1,-1), (-5,4, 0), and (-8, 4,-4) is a…

A: This is a problem related to area of the parallelogram by cross products. Based on the general…

Q: The antiderivative of the function f(z): + 9z is +3.0z² +c + 4.5z² + e 6 + 4.5z? + c -6 4.5z2 +c +…

A: Antiderivative of function f(x)=6x2+9x is…

Q: Needed

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Q: 2x²+5 Given f(x) : %3D 5x2-1

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Q: Find the interval of convergence of the series. (3x)" Σ n· 2" n=1 (Use symbolic notation and…

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: sin x dx cos x

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Q: Find the limit. Use l'Hospital's Rule if it is appropriate. If there is a more elementary method,…

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Q: 1 1+x3

A: ∫11+x3dxSince a3+b3=(a+b)(a2-ab+b2)∫1(1+x)(1-x+x2)dx

Q: A builder must fence all sides of 3 adjacent rectangular lots, each having 168 m2 of area. Front…

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Q: Find the point(s) on x = 3 − 2y^2 that are closest to (−4, 0) You do not need to restrict the domain…

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Q: Evaluate the definite integral: = rp |I – ,7|

A: Given: I=∫05x2-1dx   From the rule of inequality; x2-1<0 when -1<x<1x2-1>0 when x>1…

Q: 40 9) A skydiver jumps from a plane from 4000 meters and begins to fall at a velocity of v(t) = 60,…

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Q: Partially correct. Wrongg on part A.

A: Apologies for the inconvenience. Correct solution for #a is given below:   The given vector is:…

Q: Determine the maximum value of f (x) = 5x – e5x [T:3] on the interval [-1,1] %3D

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Q: Evaluate: (8t3 – 9t2 + 7)dt -

A: Topic = Integration

Q: . The function y = -4 sin (3x + 6) - 1 shifts the graph 2 units to the right. True False

A: To tell whether the given function y = -4 sin (3x + 6) - 1 shifts the graph 2 units to the right or…

Q: 3 Evaluate: (12t3 – 12t2 + 6)dt

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Q: The graph of r = -9 cos e has which of the following characteristic: O circle; diameter of 9; center…

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Q: The velocity of a particle moving along a horizontal line is described by v(t) = t - 2t m/s.…

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Q: In Exercises 22 through 24, find an equation of the sphere satisfying the given conditions. 22. A…

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Q: Use the shell Method to find the volume of the solid generated by revolving the area bounded by the…

A: Given: x=4y-y2 ; y=x   Now find the point of the intersection between the given curve and line.…

Q: .[[bx2-5]dx = 2x³ 5]dx = 2x3- 5x + C

A: The objective of the question is evaluate the value of "b".

Q: Find the most general antiderivative or indefinite integral. Use a capital letter C to denote an…

A: ∫ dx/(1-x2)sin-x lets substitute u = sin-x du/dx =1/(1-x2) du = dx/(1-x2)  ∫ du/u = lnu + C put u =…

Q: Quly Please paots of antegation Solve the tollowing the 17 3. 3

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Q: The value C for the solution of the initial value problem f'(x) = x - 8 +4, given that f(0) = 0. %3D…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…