2-f(t)=3e-²¹. 4-f(t)=2 cos(3t). 6-f(t)=cos't-

Q: Volume about x = -1, y = √x, y = 1 (248/9) π cu units (1372/9) π cu units (26/3) π cu units (23/14)…

A: Volume

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A: Work done= mgh

Q: 5 3 +-6-0 dx 4 dx 3 dx 2x - 3x a.y = (C₁ + C₂ + С₂)e* + С²e²x + С¸è¯ С_e 2 5 2 2x -3x b.y = C₁ + C₂x…

A: We have to find the solution of  d5y/dx5 +d4y/dx4 - 6d3y/dx3=0 This is a homogenous 5th order…

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Q: Evaluate the limit using L'Hopital's rule. Answer should be expressed as a numerical value, with TWO…

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Q: The graph of r cos 0 + 4 = 0 is symmetric with respect to the no symmetry Oy-axis x-axis O origin

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Q: 1. If find the value of a. L²Lke + (x + 2y)dydr = 10, a

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Q: x² In solving for the antiderivative of f(x)= √√4-x² using trigonometric substitution, f(x) dx is…

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Q: it costs 0.05x2 + 6x +100 dollars to produce x pounds of soap. Because of quantity discounts, each…

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Q: The graph, when the curve y=√(3+ x^2) from x = 0 to x = 4 is rotated about x - axis is O. O O ...…

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Q: Part II f(x)=x² A. g(x)=(x-3)² f(x)=x² B. g(x)=(x+3)² p(x)=(x-3)² +5 p(x) = (x+3)² +5 f(x)=x²…

A: We need to find vertex. As per Bartleby's guidelines we can solve only one part. Please upload other…

Q: Consider the following differential equation: dy : 2xy² dx i. Use the method of separation of…

A: using method of separation

Q: A piece of 1m wire is cut into two parts, one bent into the shape of a circle and the other into the…

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Q: (π/4 sec4x dx

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Q: X 4e -aluate of v dx 2 se rationalizing substitution. 8

A: solution is given below

Q: dx Consider S= using rationalizing substitution. x1/2 + x2/3 Find the integrand in terms of z. A…

A: find out the integrand in terms of z.

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

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Q: Find and classify all critical points of the function 3 f(x, y) = x³ + 2y - In(x³y³) Item 5.pdf

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Q: Show that if the function f(x, y) = ecos-e-cosx, satisfies Laplace Equation.

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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: If w = eb₁x-b₂y-b³z, where b₁,b2, b3 are constants and b3 + b3 + b3 = 1. Show that อพ อพ อพ 02 อ 0z2…

A: Here in this question, we need to solve the given partial differential equation. The solution can be…

Q: if the function u= ln (x^3+x^2y-y^3/x-y) then x su/sx + y su/sy is

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

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Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. Then Area region = [ f(x) dx + √ [*g(x) dx…

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Q: The value of x for which the series Σ- O A. x<2 or 4<x. OB.2<x<3 or 3<x≤4. OC.2<x<4. O D. 2<x<3 or…

A: Given

Q: dy Find dif: y = (x - a)√2ax x2 +aarcsin a none of these O a. Ob. a²2 √2ax x² - O C. 2√2ax x² O d. O…

A: Solution of given question is written in below steps.

Q: -3x² 2(T T + 10 25)

A: Follow the procedure given below.

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

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Q: Vector E is 102 units up and Vector F is 94 units right. Vector R is equal to Vector E + Vector F.…

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Q: If web₁x-b₂y-b3z, w= where b₁,b2, b3 are constants and b² + b² + b = 1. Show that 8² w 8² w 8² w əx²…

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Q: ocery owner raises the prices of his goods by 10%. Then he starts his Christmas sale ffering the…

A: Given query is to find discount percentage.

Q: Simplify: 1 1 + csc(0) + cot(e) csc(0) - cot(e) A 2sin(e) B 2 sin(8) 2 sin(8)

A: 1csc(θ)+cot(θ)+1csc(θ)-cot(θ)=csc(θ)-cot(θ)+csc(θ)+cot(θ)csc(θ)+cot(θ)csc(θ)-cot(θ)

Q: create 2 sample word problems of chain rule

A: 1) Differentiate cos(sin(ax)) by using chain rule   d/dx { cos(sin(ax)) }  =  - sin(sin(ax)) * {…

Q: Part III: Approximation and Differentials. (no using of calculator present all manual computations).…

A: To estimate the value of (217)(1/3) by approximation and differentials.

Q: Which of the following integrals gives the arc length of the polar curve r = cos 0 sin 0 for 0 ≤ 0…

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Q: if (1+2i) one of the root x ² (3-2) x +9=0 find another root and value of a ?

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Q: 2 Consider the vector-valued function R(t) with Ả'(t) = (sec²(t – 1), √t' (a) Find R(t) given Ả(1) =…

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Q: Illustrate the angle 5π Answer in 20mins

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Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 4x + 8y = 8,…

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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: 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: The area between the curves f(x) = x and g(x)= x^2 on interval [0.2] * 02 Me: wow I finally…

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Q: Consider the ODE: dy xtan (7) + y dx a. Show that the ODE is a homogeneous first-order ODE. b. Solve…

A: The given differential equation is;  xdy/dx =xtan(y/x) +y.

Q: Let L(z) be the linearization of f(x) = sinz+1 at the point z=. Find L(π/2). 0-1 O pi/2-1 O pi/2 + 1…

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Q: The value of the integral in terms of u is? (a). 2u³ + 6u + Arctanu + C (c). 2u³-21n|u³ +1| + C dx…

A: Given

Q: The value of x for which the series - OA25x<3 or 3<x≤ 4. OBx<2 or 4<x. OC. None of the choices in…

A: We will solve this question by first calculating the radius of convergence of the series.

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

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Q: If R is the disc with center at the origin and radius 5 then the numerical value of [xdA is equal to…

A: Please follow the next step.

Q: Part I: PARAMETRIC EQUATIONS. Find the second derivative of y with respect to x from the parametric…

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Q: y=x² - 4x and y=−x² + 2x.

A: