Evaluate: [x(1-2²) da ¾ O ³(1-x²) + C 3 0-² (1-x²) O 3 + C O 2/(1-x²) + C 3 O ㅇ글 (1-22) : + C (1-x²) 3

Q: Is the series absolutely convergent, conditionally convergent, or divergent? Justify your answer,…

A: We have to find out convergent test As per guidelines we have to solve one question Please repost…

Q: ▪ Let L:2 y+3 Z+4 X-2 = = and M: 2x - 3y + z = 6 are line and 2 5 plane and let P be the…

A: First we find the intersection point of line and panel

Q: The graph of the function y = f(x + 76) can be obtained from the graph of y = f(x) by one of the…

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Q: Given the function f(x) = x² + Draw a sketch of the graph of f. 16 - X x>0

A: Follow the procedure given below.

Q: 24\x² dy_ (xy + y ² ) d x = 0

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Q: Evaluate the integral. (Use C for the constant of integration.) tan³(x) sec(x) dx

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Q: (a) Find an equation of the tangent plane to the surface at the given point. x2 + y2 + z2 = 14, (1,…

A: We have to solve given Questions.

Q: You are driving a car away from home. Your velocity (miles per hour) t hours after noon is given by…

A: you are driving a car away from home.your velocity t hours after noon is given by,…

Q: d²y dy 2. +4 + 4y = 0, when x = 0, y = 1, y' = -1 dx² dx

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Q: ind the equation of a line that passes through A(1,-1) and is perpendicular to the line (x,y) =…

A: The equation of a line that passes through A(1,-1) and is perpendicular to the line…

Q: Consider the following equations. 3 y = 9- -1/2x², y = X₁ x = -2, x = 2 Sketch the region bounded by…

A: Here we have to find the area and the graph of the functions.

Q: 2) If z = -1 + √3i 2 2π 3 || then the angle 0 in polar form 0 True False O

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Q: 1. Given the series 1 1 - - - 5 +(-=-={{ (x-2)" +... 25 125 5 (a) For what values of x, does the…

A: see below the answer

Q: Solve dy dx +4y=2.

A: Solving the differential equation by seperation of variables

Q: 1 Find equation of plane which is containing Points A(2,1,1) and B(7,5,2) and normal to 2 x - 3y -…

A: We have to find the required plane

Q: Solve the following differential equations of 3x d'y dx² +9y=2e³x +18x+18

A: We need to solve D.E.

Q: 3 X and f'(-2) if f(x) = 6x. 8 (-2)=(Simplify your answer. Type

A: Given: f(x)=x38-6xTo find:f'(-2)

Q: y = 2 sin(x), y = ex, x = 0, X = K|N 2

A: The region bounded by the curves,  y=2 sin(x), y=ex, x=0, x=π2

Q: Solve the following differential equations of 3.x d'y dx² +9y2e³* +18x+18

A: We can solve as follows

Q: 1(3). If f(x) = 2 cos x + x³, find 06 2 4 8

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Q: Let S be the solid obtained by rotating the region shown in the figure below about the y-axis. y…

A: We have to solve above given graph for volume.

Q: 4) Find the value of a for which the limit lim x-0 evaluate the limit. sin(ax)-sinx-x. x3 is finite…

A: find limit

Q: Q2A)Matrix A =[42],find Eigen values of A².

A: We need to find eigen values.

Q: 4. When finding the derivative of a fraction you have to use the Quotient Rule. 5. The derivative of…

A: 4. when finding the derivative of a fraction you have to use the quotient rule.5. The derivative of…

Q: Find the absolute extrema of the function f(x)= 8x3+ 81x2−42x−8 on the interval [−8,2]. 1. Find the…

A: Graph: For (1), Given: f(x)= 8x3+ 81x2−42x−8 on the interval [−8,2]. From the graph, it can be…

Q: () + + C) + () + C) (ع) 77 ساح 0 27

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Q: ΗΣ 1 an find limnoo Зп σο n=1 - 2 11 ∞ Ο 0 Ο 3 Ο 52 sin(an)+11 4

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Q: Determine whether there is a relative maximum, a relative minimum, a saddle point, or insufficient…

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Q: dx (x+3)²-25 7.57

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Q: Suppose the Candy Company chose to use design C. How many cubic centimeters of material would they…

A: Concept: The volume of the Cylinder: V=πr2h Here r is the radius of the base of the cylinder and h…

Q: Proceed as in this example to find the solution of the given initial-value problem. Evaluate the…

A: Since you have posted more than one question, I can answer only first question for you

Q: 1 Evaluate the integral: S√72+6 dx O 2√7x+6+C O 7 2√7x+6 +C ○ // √√7x + 6 + C 1 0- + C 3 7(7x+6) 2

A: use substitution method for solving the integral.

Q: Q4A) Find area bounded by y = 0, y = √x-x² using double integration.

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Q: A balloon rises at a rate of 3 meters per second from a point on the ground 60 meters from an…

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Q: The total cost (in dollars) of producing x food processors is C(x) = 1600+50x-0.4x². Find the…

A: Derivative of total cost function gives the marginal cost function

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Q: In one area, the lowest angle of elevation of the sun in winter is 20° 11'. Find the minimum…

A: As we know that for a right angle triangle tanθ=HeightBaseAnd conversion formula from minute to…

Q: The demand function for a product is given by P(x) = 80 -0.018x, where x is the number of units of…

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Q: The total amount of money in circulation for the years 1990-2012 can be closely approximated by M(t)…

A: According to our guidelines we can answer only one question or three subparts of a question. Other…

Q: Draw a graph to match the description given. f(x) has a positive derivative over (-∞, -1) and…

A: Here, given that the function f(x) has a positive derivative over -∞,-1 & (-1,7) and a negative…

Q: Find the volume bounded by: x² + y² + z = 16 and z-x² - y² = 8

A: Concept: If a solid S is bounded by a surface, as in rectangular coordinates,  z=f(r,θ) as well as…

Q: Evaluate the definite integral. 2 X dx 1 + 4x 0

A: Take (1+4x)1/2 = t

Q: dy Find by implicit differentiation. Then find the slope of the graph at the given point. dx 3x³y =…

A: " According to the guidelines issued by the company we are supposed to answer only one question.…

Q: 2. If w = f(x + ct) + g(x- ct) show that c²wxx = Wtt C= constant.

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Q: Q2A)Matrix 4 = [3] find Eigen values of 4².

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Q: 1. Given a. b. C. [(5x + + + + 1) dx Evaluate the indefinite integral above Evaluate the integral…

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Q: S = u(x+*)

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Q: Find the consumers' surplus at a price level of p = $150 for the price-demand equation below.…

A: Given p=400-0.02x

Q: Using the definition of the derivative, find f'(x). Then find f'(1), f'(2), and f'(3) when the…

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