Convert to a rectangular coordinate. Convert to a polar coordinates. 5T 10. 11. (-4,4)

Q: 72 a, = 5, an +1-1+ an

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Q: Find, the genetal Solution of the differehtial equation (2x+Y-3) dy= (f+2Y-3)dX

A: Given problem:- Find the general Solution of the differential equation   (2x + y - 3) dy = (x + 2y -…

Q: Explain, using the theorems, why the function is continuous at every number in its domain. 2x2 – x –…

A: 2x2-x-4x2+9  Function fx is continuous on interval a, b if it is continuous at every point. We know…

Q: (D² + 4)y= 4 cot 2x

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Q: (c) Let f(x) = In(x + 8). (i) Find the domain and range of the function. (ii) Find the inverse of…

A: Let's find.

Q: 2) lim- x) Tanx

A: The given limit is              limx→π2π2-xTanx we know,     Tanx= sinxcosx

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about…

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Q: Find f5(x) if f(x)= 3√3x+2

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Q: a. f(x) = ln 3sqrt(2x^3+5) (Use log properties to simplify first)

A: Solve the following

Q: Sf(x)dx = 2, f(x)dx = -5, and ſ g(x)dx = 1 . Evaluate the following 7. Suppose integrals. SF(x) +…

A: Here we have to find the given integral. I have appended the formula used in the solution part of…

Q: 2. Evaluate the integral / 2 (a³ + 3)/4 dx. 4 4 (a) 5(23 + 3)/4 + ( +3)5/4 + C 27 27 (b) 푸(고+3)%4…

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Q: I. True or False: Write True if the statement is always correct, otherwise write False. 1. All…

A: Topic:- function  Note:- as per our guideline if more than three subparts posted than only first…

Q: 4s + 12 82 + 88 + 10 4e-4t 4te-4t 4et + 4tet - Option 3 Option 2 4et 4tet - None of the choices…

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Q: n!(n+1): (2n+1)! n=0

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Q: Describe all absolute extreme points of P. Select the correct choice below and, if necessary, fill…

A: Let's find.

Q: An investment of $8,000 earns interest at an annual rate of 6.5% compounded continuously. Complete…

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Q: 4) By Diskuethod Detremin the volup Hiw Dx=1 and lnes y=1 aboat x=0 2) fex) = x? and line y:1 in the…

A: Given

Q: X=34-3 X=2-2y (-3,0) 12,07 y = 2X-4 -4 49-3

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Q: 2. For the parametric equation shown below, determine the value of (dy/dx) and (d²y/dx²). X = 3t? –…

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question. Please…

Q: set B: Problem #G · Find the equation of the line tangent to X = JL F (x) C) cos?x - sin2

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Q: Find Valke of nhegal Sxdx X dx

A: To evaluate the given integral

Q: ne differe htial equation 25+ソ-3)dy = ($424-3}dy

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Q: x2 - 3x -7 dx (x2 + x + 2)(2x - 1)

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Q: Sunecose - Sune=0

A: The objective of the question is solve the given equation.

Q: 3. For each of the following functions z, find and дудх' дхду 3. z = tan-

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Q: -2t e "(cost+3 sin t)

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Q: 3. f(x) = (2x + 1)3 4. f(x) = V7 + V3x + 1

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Q: Use the limit Compariso. Testidet- ermine whe ther the following serios is, convergent or…

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Q: Line 1: 3 1 — у - = Z – 8 2 - 4 Line 2: X=-2t y=2+2t z=6+2t 1.If the given lines intersect at a…

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Q: Find the area K of the triangle. 60 ... K= square units (Round to two decimal places as needed.) 2.

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Q: 3 10х° -34х + 4 2x-4

A: We have to find the long  division

Q: (t – 1)* 24 24 12 1 24 24 12 1 83 83 Option 1 Option 2 24 – 24s – 12s² + 4s³ + sª 24 – 24s + 12s² –…

A: The given function is: ft=t-14   Use the Laplace transform identity. Ltn=n!sn+1

Q: Guen F(x)= 4sin? (x), write the equaton ok the live tanjut to y=F(x). when x= 7r %3D 4.

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Q: The length of the side of a square floor tile is 15 cm, with a possible error of 0.05 cm. Using…

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Q: Write down the gradient of the straight line represented by the equation y = −0.05t + 47. What does…

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Q: sin 2t sin 5t 20 s4 + 58s² + 441 None of the choices Option 3 10 1 s4 – 58s² + 441 2 s2 + 32 s2 + 7?…

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Q: Use (a) bisection method and (b) false position method to find the solution to the following within…

A: Note: There are multiple questions. Few questions has multiple subparts.No specific question has…

Q: Find the area bounded by x = sqrt y and y = 2x. You may use horizontal or vertical strips. Also,…

A: Area

Q: A supermarket sells two brands of coffee: brand A at $p per pound and brandB at $q per pound. The…

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Q: Find the solution of the given differential equation

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Q: Find the derivative. Write the final answer without negative or fractional exponents. a. f(x)=…

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Q: x = -2t 1- y = z – 8 and l2 2 - 3 Given: line lı : 4 y = 2 + 2t % = 6 + 2t 2. Find the equation of a…

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Q: Use the Linear Approximation to estimate Af for f(x) = when a = 2 and Ax = 5+x2 (Use decimal…

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Q: Use Runga-Kutta 4 to determine y(1.3) for f(r, y) = with y(1)%3D 1

A: Here we have to use Runga Kutta 4 method

Q: 4 2 6e"*+2dydx =? (a) 2 (e* – e?) (b) 2 (e10 – e°) (c) 2 (e16 – e?) (d) 2 (e2 – e?) (e) 2 (e64 – e?)

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Q: Find the Laplace Transform of the functions PLS ANSWER ASAP

A: We need to find laplace transform.

Q: II. A particle is moving along a line with velocity given by the function v(t) = t-…

A: We have to find the position function of the particle at any time t.

Q: 29 – 49 - dy C. 2+ 4y · Evaluate using substitution

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Q: 3 By using and only using function composition, show that the following function is its own inverse.…

A: The objective is to use function composition to so that the function is its own inverse.

Q: 2eln In cos 2t 8 + 2 None of the choices Option 2 2s s2 – 2 s2 – 2 Option 5 Option 3

A: This question is based on Laplace transform.