1- f(t) = 2t³; 3–f(t)=sinh(2t); 5-cosh (t) sin(2t);

Q: Hwy find the integration 3 Se vadv V 1-

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Q: The solution of the equation below can be represented as y(x) = yn (x) + yp(x). y" + 3y' - 4y = 3x +…

A: To find the corresponding particular solution of the given differential equation.

Q: A rope that weighs 0.5 lb/ft is attached to a bucket filled with cement plaster that weighs 22 lbs.…

A: Given

Q: x³ - y = 0 Determine the area bounded by the curves x² and y + 3x² 4 = 0, using a vertical element.…

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Q: Evaluate the following double integral over the given region R. 2 ln(x + 1) // ² dA over the region…

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Q: Find the derivative 4cos4t sin4t 2cot4t -1/2 cot4t Other: of the parametrically defined curve : x(t)…

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Q: II. INDETERMINATE FORMS COS X X 5. lim x →∞0

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Q: Which of the quantities is nearest to the value of * exp 0.003 1.001 cos(0.002) ? 01 O 1.001 O 1.002…

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Q: Consider the region on the 1st quadrant bounded by y = √4x²,x and y-axes. If the region is revolved…

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Q: What is the graph of r cos 0 + r sin 0 = 1? Oline with slope m-1 and intercept b=0 Oline with slope…

A: We know that x = rcos(theta) and y = rsin(theta)

Q: A manufacturer is planning to sell a total of 500 machines to both foreign and domestic firms. The…

A: First we find revenue function from given data.  And then we find maximum revenue for sold…

Q: of f(x) = ln(x²− 1) is given by 1. <I. list. <x<1.

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Q: y=x² - 4x and y=−x² + 2x.

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Q: Part I: PARAMETRIC EQUATIONS. Find the second derivative of y the curve and draw the tangent line…

A: First derivate with respect to t then derivate with respect to x to get desired result

Q: Choose among the following suitable to define the given integrations * :fx √x + 1 dx Not suitable…

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Q: Consider the series Σ(-1)^ 2³ Which ONE of the following statements is CORRECT? n=1 3" OA. The…

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Q: Consider the region on the 1st quadrant bounded by y = √4x², x and y - axes. If the region is…

A: Solution is here

Q: x²-1 3. f(x) = -1;ƒ' (1) 2x+1

A: Solution is given below:

Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. The x-coordinate of the centroid of the…

A: Solution is given below:

Q: If u = ₁+₂y+z, where a₁, A2, A3 al constants and J²u J²u J²u น a +a+a = 1. Show that + + = U. მ2 მყ2…

A: This question is based on Partial diffrentiation.

Q: Find the volume of the solid generated by revolving the given plane area having the given boundaries…

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Q: A light is placed on the ground 30 ft from a building. A man 6 ft tall walks from the light toward…

A: This question is based on application of derivative.

Q: (a-x)² (a-y)² (a-z)² Express (b-x)² (b-y)² (b-z)² as a product of two determinants and hence…

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Q: Use Lagrange multipliers to find the critical points and the relative extrema. f(x,y) = 4x² + 2y² +…

A: We have to find  the critical points and the relative extrema.

Q: Let L(r) be the linearization of f(x) = sin x + 1 at the point x = . Find L(π/2).

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Q: INSTRUCTION: Please box your final answer. Find the Laplace transform of the following: 1. y" + 2y'…

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Q: Find the area of the plane region bounded by y=-x+2 and y= x2 −2x 7 s.u. 9 S.U. S.U. 9 s.u.

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Q: The sides of a square carpet is measured at 4 ft. Estimate using the Linear Approximation the…

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Q: Consider the region on the 1st quadrant bounded by y = √4x²,x and y- axes. If the region is revolved…

A: Using shell method, given format is obtained.

Q: 7. A rope that weighs 0.5lb/ft is attached to a bucket filled with cement plaster. The cement…

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Q: In solving for the area bounded by y = x, y = 2x and x + y = 6 using a vertical element, the total…

A: We have to find value of area AL

Q: Suppose that the price-demand and the price-supply equations are given respectively by the…

A: The price-demand equation is p=Dx=40-0.2x and the price-supply equation is p=Sx=27.5+0.001x2. (a)…

Q: Find lim 1-0 does not exist -1/2 Ο Οι Ο 1/2 O O Ο Ο Ο Ο Ο Ο O O O e* - r -1 Other: Δ

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Q: Find the volume of the parallelepiped determined by the vectors (0, 4, 5), (2, 0, 5), and (-1, 3,…

A: Volume of parallepiped is (a X b).c

Q: 7. Evaluate * (D5 – 3D¹ + 8D³ + 16D² – 9D – 13)y = 0 y = (C₁+C₂x)e¯x + Сze* +C₁е²x cos3x +C5e²x…

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Q: 1. Consider a point in Cartesian coordinates given by (3√3, -3, -8). (a) Find a corresponding…

A: Given that Cartesian coordinates (x,y,z)=(3sqrt(3),-3,-8).

Q: Draw the graph of y = 3x2 + 6x − 24 and label its minimum

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Q: Determine the area bounded by the curves x³ - y = 0 and y + 3x² - 4 = 0, using a vertical element.

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Q: Let y = = 1/2 √ √x. Then evx dy dx is:

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Q: =1 Let R be the region bounded by the functions f(x) = -x² - 4x and g(x) = as shown in the diagram…

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Q: Write an equation for the function graphed below. The y intercept is at (0,-0.5) 5 1 -7 -6 -5 -4 4 y…

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Q: Which of the following is true? * 3 f ƒ (x, y) = x³ – 2xy + 3y² f = -2x+6y + 3xy²; fy=3a²-2y+z³…

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Q: A B B + A Bx + + I A Т Identify the form of the partial fraction decomposition of the rational…

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Q: y = (x²-2x) (In x³-3 tan x) x√x

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Q: How many arbitrary constants can be obtained from the answer if the given y"+y'+6y=9x³+x²-x is…

A: We know, The number of arbitrary constants in the general solution of a differential equation is…

Q: The power series representation of f(x) = n(x²-1) is given by O A. -1 -x+1, -1<x<1. n=in+l O B.…

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Q: -3x² 2(T T + 10 25)

A: Follow the procedure given below.

Q: - Find the value of x of which the function f(x) = O a. none of these O b. 1 OC -1 O d. -3 Oe. 3 2-8…

A: Given:f(x)=12x-8

Q: A man drives 60 km North, then 45 km West. Finally, he drives 94 km South. How far away is he from…

A: The objective of the question is determine the distance and direction of starting and end point.