Find the olar eauatiDo for the Curve represented by the given Cartesian eawation.

Q: 5) S dy 5.)

A: The given integral,      ∫28-y2dy

Q: an = In(n+1) – In(n) for n EN determine if the following is convergent or divergent { { an } n=1

A: If an=lnn+1-lnn for n∈N,then to determine whether the sequence, ann=1∞ is convergent or divergent.

Q: -бх + 9 3. V6x – x² хр

A: We have to find the given integral.

Q: Find the sum of the convergent series. +0 | 3n+1 6n-1 n=0

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Q: 5- 4- Find the volume of the solid created by rotating the following curve y = 3vx about the y-axis.…

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Q: (-1)" V2n2 + 5 Given: power series (x+ 1)" n=1 Determine if the resulting series of constant terms…

A: To solve the following problem

Q: Q3) Evaluate triple integral N S dz dx dy. x-y

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Q: LINEAR EQUATIONS WITH CONSTANT COEFFICIENTS 1. (9Dª + 6D³ + D²)y = 0 2. (4Dª – 45D² – 70D – 24)y = 0

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Q: 7. y = y5 +6y* +35x³ –5x² –100 8) y= /2x

A: We have to find the 3rd derivative of given functions.

Q: Q2) Solve the D.E dy + (xy – xy²)dx = 0

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Q: Question Consider the function f(x) below. Over what open interval(s) is the function decreasing and…

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Q: а a а а а а а а 00 a a 0 0 a a a 0 00 0 а

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Q: V9 – 4x2 Evaluate: A f (x) = V9 – 4x2 + 2 sin () + C V9 – 4x2 – 2x sin- () + C B 6/ | | f (x) = f…

A: For the solution follow the next step.

Q: 6. Use Laplace transforms to solve the initial value problems: (b) x" – x' – 2x = 0; x(0) = 0, x'(0)…

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Q: Using homogenous differential equation determine the particular solution of xy?dy - (x³ + y³)dx = 0…

A: differential equation

Q: xsin(x³) dxdy

A:

Q: Given: S 10xe", 2а3 + За2 — 12а, х >0 x < 0 f(x) = + За? — 12х, х a. Find all the critical numbers…

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Q: Question For the function given below, which statements concerning Rolle's theorem are true? 4x + 3…

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Q: I. Evaluate the following integrals. 1 . J <(9 – In² r}5/2 d.x x(9 – In² x)5/2'

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Q: B.) Function; x- 2x - 15 3.) f(X); f(5) = 4.) f(t) = f(3000) = 3000 X- 5

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Q: d -sin ở if0 is given as What modifications would have to be made to find the derivative - an angle…

A: Let's find.

Q: (a) Find the series' radius and interval of convergence. Find the values of x for which the series…

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Q: A firm produces two types of calculators each week, x of type A and y of type B. The weekly revenue…

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Q: 1. Evaluatef(3x + 2)dx A. 3x2+2x + C B. 2x + 2x +C c. 2+2x + C D. x² + 2x + C

A: As per guidelines we can solve only one question at a time so if you need more answers kindly repost…

Q: 3-x Q1) Evaluate the integral * dy dx using polar coordinate

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Q: an = In(n+1) – In(n) for n EN determine if the following is convergent or divergent { an } n=1

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Q: x+y Q3) Evaluate triple integral S dz dx dy. x-y

A: To evaluate the triple integral ∫02∫0y∫x-yx+ydz dx dy.

Q: Use the information given about the angle 0, 0< 0 < 2n, to find the exact value of the indicated…

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Q: dz S- 2ydy , if we let y=Vz+4, then the new integral becomes = y-2 In z+4 - 2 (A) True

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

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Q: Suppose you decide to wait 5 years to save up before buying the house.  You are able to put a down…

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Q: z = If X – y show that: =D0

A: Given: z=xyx-y And x2∂2z∂x2-y2∂2z∂y2=0   As we know that; The Quotient rule; fg'=f'·g-g'·fg2 The…

Q: Find the directional derivative. g(s,t) = s√t , (2,4), v = 3i - j

A: Given:         g(s,t) = s√t ,         Point: (2,4)         v = 3i - j

Q: Evaluate the following iterated integral. 2 16 15y dx dy 2.

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Q: ...................... Consider the following. 4 f(x) = (a) State the domain of the function, all…

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Q: What is the particular solution of the equation 2ydx - 3xdy = 0 when y=1 and x=1?

A: Solving the differential equation by seperation of variables.

Q: If a function f(x) satisfies the inequality 5 cos(2x) < f(x) < 8x2 + 5, what is the value of lim,0…

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Q: (-1)"x2" (2n)! COS X = for all x € R. n=0 1. Let f(x) = cos(Vx). Determine the power series…

A: I have solved all three questions.  Hope this will help. Please upvote ?

Q: S (2x² + 3)dx S(5 +) dx 4.) 5.)

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Q: Using exact differential equation, determine the solution of: dy y-- 2x = 3y2 – 2 when y = 1 and x =…

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Q: (b) S 3X5V1– 2x³dx -

A: Given,             ∫3x51-2x3dx

Q: What is the shortest distance from the point (4,0, 5) to the sphere (x – 1)2 + (y + 2)2 + z² = 36?…

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Q: (-1)" Given: power series (x + 1)" 2n2 + 5 i. Determine if the resulting series of constant terms…

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Q: = > Σ 5. For all x E R, e* п! Express f (x) = x²e* as a power series. b. Find the third-degree…

A: We have to solve questions based on Series .

Q: Suppose f(x) is a function that satisfies the following conditions: f(15) = 20, f' (15) = 2. Also…

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Q: The temperature (in degree Celsius) at a point (x, y) on a metal plate is given by a function T(x,…

A: T=Tx-yTyTo Find:a. Suppose T(4, 6)=320C and Tx(4, 6)=20C. Use the linearization of T at (4, 6)  to…

Q: which values of x are the eigenvalues of 4 х 9 repeated?

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Q: Graph the function. Show at least one period. 15) y = 2 sin (2ax - 3)

A: the graph for given function is attached below:

Q: g(t) = e-º. (a) Find the Maclaurin series for g(t), stating your answer using sigma notation. (b)…

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Q: n Vy(x- y) + y² + 6

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