1. 9. 2

Q: Consider the solid obtained by rotating the region bounded by the given curves about the x-axis. 1 y…

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Q: tion Using Integration by parts, evaluate: S x³Vx3 + 1dx Your ancwor

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Q: The equation of the line tangent to the differentiable and invertible function f(x) at the point (5,…

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Q: An open box is to be made from a 16 cm by 30 cm piece of cardboard by cutting out squares of equal…

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Q: Evaluate using Linear Equations. v(dx/dv)=6ve2v+x(2v-1)

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Q: Use the quotient rule to find the derivative of - 8 sin(r) +9 479 – 10 You do not need to expand out…

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Q: 2. y = loga(x³ + 2x – 2)

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Q: 21.3 xdx V16 - 9х4 0.

A: We to integrate the given integration.

Q: xdx + ydy = (x+ x¯ +y° )dx

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Q: Let the region R be the area enclosed the function f (x) = x2 + 1, the horizontal line y = 6, and…

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Q: Q2. Evaluate the integrals below by first using trigonometric identities to simplify the in-…

A: We have to find value of given definite integral.

Q: y^2=(x^2 - 9)/(x - 4) find the x and y intercept, symmetry, region/scope, asymptotes, critical…

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Q: The length and breadth of the floor of a room are 30 feet and 20 feet, respectively. Square tiles of…

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Q: 13n Illustrate and find the smallest positive coterminal angle of 3.

A: We have to find smallest positive coterminal angle of -13π/3. And we have to illustrate that angle…

Q: Solve for the following application of first order differential equations. Show your solutions. 5. A…

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Q: Q3.3

A: We have to find the value of the given definite integral according to the given information

Q: onsider the following planes. -4x + y + z = 4 12x – 3y + 4z = 16 a) Find the angle between the two…

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Q: An ice cream cone is filled with ice cream and surmounted ice cream in the formof a hemisphere on…

A: Given problem:- An ice cream cone is filled with ice cream and surmounted ice cream in the form of a…

Q: Learning Task 1: Directions: Solve for y in terms of x (isolate y on one side of the equation and…

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Q: Solve the following items and show your solutions. b.) Identify if the following functions are…

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Q: Integrating Factor by Inspection: (1) y(x² + y² – 1)dx + x(x² + y² + 1)dy = 0

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Q: statements is NOT true?" a = 230, b = 150, C = 95° The length of the third side is 25.13 unite The…

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Q: A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum…

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Q: 18. lim x+oo 3 20. lim log,

A: Given function f(x)=log12 x we write    log10 x=  log x     and we know thhat    log10 10=1

Q: Find Ay and f'(x)Ax for y = f(x) = 2x – 1, x= 3, and Ax = 3. Ay = (Round to four decimal places as…

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: If a cylinder, a hemisphere and a cone stand on equal bases and have the same heights, what wil be…

A: Cylinder, Hemisphere and Cone have same bases i.e. all three have same radii (say r) Also the height…

Q: Is it log or ln that should be used?

A: You are right. There was a mistake from our end.  Here is the correct explanation: y=x3x Take ln on…

Q: Select

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Q: A 400-lb cable is 250 feet long and hangs vertically from the top of a building. How much work is…

A: A 400-lb cable is 250 feet long and hangs vertically from the top of a building. ρ=mass per unit…

Q: 2. 30e-3*(1+ e-3x)5dx

A: We need to evaluate integral.

Q: In xdx

A: Formula:Integration by parts:∫ uv dx =u∫v dx -∫ dudx∫vdxdxI=∫ x5 ln x dxu=ln x, dudx=1xv=x5I=ln x ∫…

Q: | cos'x cot x dx 3.

A: To integrate the given.

Q: Solve the given initial-value problems. te dx +(y-1)dy=0; y(0) 0 4.43.

A: identify the differential equation and solve it.

Q: Determine whether P = and Q = are orthogonal vectors. If W = and V =, compute V x W. If W = and V =,…

A: Explanation of the answer is as follows

Q: What are the relative extrema of the function f(x)=x3+3x3-24x+7

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Q: Evaluate by using homogeneous D.E. 3 (3x? + y) dx – 2xydy = 0 03 In(x2 + y?) + 4 = C O a = C(9x³ +…

A: To evaluate by using homogeneous D.E.33x2+y2 dx-2xy dy=0

Q: Solve the following initial value problem. dy 1 --X, x> 0; y(6) = 3 dx x2

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Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: Find an equation of the plane with the given characteristics. The plane contains the y-axis and…

A: Plane in 3D: The equation of a plane in 3D is ax+by+cz=d If by is removed, the graph of the…

Q: 1 a. f(x)3D 4 b. g(x) = - X c. h(x) = 3 -

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Q: 2. What is the slope of the line tangent to the curve 8x³ – y² = 4 at the point (1,-2)? 3. What is…

A: Since first subparts question statement missed. Answer 2 and 3

Q: Which of the following expressions represents the height of a right circular cone having a slant…

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Q: Evaluate by separation of variables. y = xy? O x(y + C) + 2 = 0 O y(a² + C) + 2 = 0 O (2² + C) + 2 =…

A: Given: y'=xy2

Q: Determine the horizontal asymptote of the function. If none exists, state that fact. f(x) =5 e 4x…

A: Given function is: f(x)=4e4x

Q: Consider the function y = 4x3-3x2+6x-9. What is the average value of the function on [-2, 4] ?

A: average

Q: 4-x² 4. Evaluate [*, [* (r² + y°) dz dy dx. 4-. Hint: This iterated integral is a triple integral…

A: Cylindrical Coordinates:       Put x= r cosθ and y=r sinθ and z=zthen,      r = x2+y2 and θ =…

Q: Find the inverse of the matrix 3 0 2 -1 1 A= -2 -3 1 1 글 0 를 글 0 를 0 글 1 1 0 글 를 0 글 1/2 1. 112 112…

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Q: Question 12 V3 sin(0 + m) What are the solutions for the equation cos(o + 1) = 1,

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