Determine the antiderivatives of the following functions: 1. V36-x² dx 2. 9x²+36dx

Q: If a > 0 and [[ 20*+v 20+u° dr dy = 1(e* – 1) , a =?

A: Using polar coordinate evaluate the above integral

Q: 1. Determine if the following function is periodic. If it is periodic find the fundamental period,…

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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: dy if y =t! and t=Vx Fin d

A: Let's find.

Q: 6s – 4 s2 – 4s + 20

A: 6s-4s2-4s+20=6s-4s2-4s+4+16=6s-12+8s-22+16=6(s-2)+8s-22+16=6·(s-2)s-22+(4)2+8·1s-22+16

Q: tan () (9) sin (4) F. Evaluate the integral r2 cos ()

A: integration

Q: SIn(5 + VT)dr Algebraic Substitution

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Q: Fin d d dr

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Q: 6x? + Sx t 16 dx +2x +6 x + 3? a.Sinlat3l+; 4 Cが)返が)+c er none

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Q: 3 – z = y +1 = 2.

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Q: dx 5x2 + 16

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Q: A particle is moving along a horizontal path which starts at a distance of 5 ft to the right of a…

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Q: 3s – 14 - s2 – 4s + 8 - 3e2t cos 2t + 4e" sin2t 3et cos 2t – 4eª sin2t Option 1 Option 2 4e" cos 2t…

A: Given: Fs=3s-14s2-4s+8   As we know that; The inverse Laplace transform identity. 1).…

Q: x = -2t 1 - y = z – 8 and l2 2 3 Given: line l1 : 4 y = 2+ 2t z = 6+ 2t 2. Find the equation of a…

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Q: xチ+1=4 DIDX= 2-2y (ost) X= 3サ-3 *キーに h で3,0) サ=2メー オー×ポーカ toノー4) メッとナ+ム メーリー3

A: Explanation of the answer is as follows

Q: For numbers 9-11: Given a circle passing through the point (5,9) with radius equal to 4. 9. Where is…

A: Explanation of the answer is as follows

Q: 1. The figure shows the graph of a function f (x) with domain 0 < x < 3. Which of the following…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: dz and at dz 3. Let z x2 + y3, r 2st and y = s- t2. Compute for

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Q: S 23x* + 5 +* x2-16 dx X-4

A: We will use simple Integration rules to solve this question.

Q: Find all the derivatives of the following functions f (x) = x° + 4.x² + 3x³ – x² + 6 5 1. 1 g(x) :…

A: 1) f(x)=x5+4x4+3x3-x2+6Differentiate…

Q: 2y(x? — у + х)dx — (x2 — 2у) dy %3D 0

A: I think mistake in question inplace of -ve sign.

Q: 5. Let f(x) be the function f(x) = {* T*7 makes the function f(x) continuous for all real numbers.…

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Q: To-42 5-2X-3 (6z) odz dy oe aly de

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Q: Use Method of Variation of Parameters: [D² - 8D + 16]y = e4Xsec2x %3D

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Q: Expand and simplifyW – 35) · (5 + 2w)

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Q: Exercises Solution of Equations having Constant Right Member Solve the following equations 1. (D² +…

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Q: x-1 lim エ→1VX -1

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Q: sin 2t sin 5t 20 s4 + 58s2 + 441 O Option 3 None of the choices 1 10 s2 + 32 s2 + 72 s4 – 58s2 + 441

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Q: Question 5 The length of the side of a square floe area of the tile. O +1.5025 cm2

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Q: 7. How should the function f(x) = be defined so that it will be continuous at x = -1? (B) f(-1) = 0…

A: We have to find the value of f(-1). Also we have to find the interval in which function is…

Q: Jse the linear approximation to estimate AS = f(3.1) – f(3) for f(x) = T Use decimal notation. Give…

A: Here, the given function is: f(x)=31+x2⇒f'(x)=3-1(1+x2)2(2x)=-6x(1+x2)2

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: 4. f(t) = teatcosbt

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Q: Find the function h given h'(x) = ÷- + 2; h(1) = 0 3x x2+1

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Q: Change the following polar equations to rec 6. 12. r = 4-cose

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Q: 1- x² tx

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Q: 2. Consider the function 2r2-9r-18 f(r) r2-r-2 (a) Sketch the curve y f(r). (b) Find the area of the…

A: Let's find.

Q: Use Method of Variation of Parameters: [D2 - 8D + 16]y = e4Xsec2x

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Q: (ost) X= 3サ-3 DiD X-2-2y ¥ーにh で3,0) D3 Dy メーと2 サ=スメート X-4 <-リ-3 toノー4)

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Q: PART

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Q: Calculus How many numbers are relatively prime to the following number. - 209 - 323 - 867 - 31…

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Q: Evaluate the guen -x>·dR,where conGists of the upper past F the cuafe x ty"=1 from "(-1,0) parabala.…

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Q: VII. Use Lagrange Multipliers to solve the following: Maximize f(x, Y, z) = 4x + 2y + z %3D subject…

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Q: Evaluate the following integrals using Trigonometric Substitution: x-1- 16x dx x 2. dx 9 dx 25t2 - 1…

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Q: x = -2t x - 3 1 – y Given: line l1 : 4 = % – 8 and l2 2 y = 2+ 2t - % = 6 + 2t 1. If the given lines…

A: We have to find angle between the lines L1 &amp; L2

Q: S 3p? tan p dp

A: To integrate.

Q: Q.4) The Wronskian W(e~2", e",e²), is: a) 12e b) –12e c) 6e² d) -6e"

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Q: 1. f(x) = V3x +2 2. f(x) = 2х-3. 4 %3D 5x+1

A: We know quotient rule of differentiation as follows  ddx{f(x)g(x)} = g(x) f'(x) - f(x) g'(x){ g(x)}2…

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

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Q: x dx V3-2x-x

A: