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Q: ExJ Describe the values of aoia, and ag such hat + Qi fj + Qg f +2. Furthermore, find the eror term…

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Q: Exy Find dy it y=(t?r1)", x = t?+S %3D

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Q: If f(z) = (iz? + 3z?)³, find f'(z), when z = 2i. %3D

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Q: n (p hix ( %3D what is the dependent vaniable in

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Q: J x(1-Sx2)4 dx

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Q: Fun ctions? K) F(x,y,Z ) = 入 y2 LI F(Xry) Jィーメー- M) FLXソ) 6-ズ-y

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Q: ||Ř(t)|| = h(t), show that R(t) · R (t) = [h(t)][h'(t)].

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Q: d rsinx Catnx 2t3-t dt dx J4

A: Given Data The equation is d/dx(ꭍ4sinx (2t3-t))dt.   Solve the equation d/dx(ꭍ4sinx (2t3-t))dt by…

Q: p) Determine | (hVx +r) dx (where h, r are real numbers).

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Q: Solve bollowing 4ntial value paob lem the 2dy +30y=4(u+2)²lnac? ; x20, yla)=0 1)%3D0 %3D dx

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Q: f = f (x, y) = u? + 3v, y = uv

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Q: 2) a- Set up inside r=3+3 Sint and the area outside (=3. b-Set up the area inside r= 3+3 sino and…

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Q: Find div F and curl F if F(x, y, z) = 7y°z*i – 11xz'j – 6xy°k. 5.7 div F= curl F=

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Q: Which of (I)-(V) are antiderivatives of f(x) = ex/2? I.ex/2 II.2ex/2 III.2e(1 + x)/2 IV.2ex/2 + 1

A: f(x) = ex/2Antiderivative of f(x) = Integral of f(x).dx Please see the subsequent steps on the white…

Q: 3 If f(t) =e3t , then L{f (t)} s-t ulgn ihi

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Q: Consider the function f(x) = x2 x7 Let F(x) be the antiderivative of f(x) with F(1) = 0. Then F(x) =…

A: Given fx=5x2-2x7

Q: (c) Suppose that ø is differentiable. Prove the identity $Vø•n ds |(V*o+ V¢ • Vø) dA

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Q: Prove the formula: H (X, Y ) = H(X | Y ) + H(Y ).

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Q: QIFind 1 dx Vx² – a² Hint: Use x = a cosh(u).

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Q: Determine the general antiderivative of the function. m (x) = e³r. True or false? M (x) = e3* + C 1…

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Q: Writing In (x+jy + a/(x+jy-a)]-u+ je, show that (a) x+y-2ax coth u + a = 0

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Q: A line is tangent to y = -4Vx when x = 1. What is the coefficient of x when the line is in the form…

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Q: t methods - a tradi conclude, at a = .

A: The claim is that the  test scores in the web based self-placed are lower. Let  denote the…

Q: Let u =, v = where A and B are some constants. Given that ú + 90 = find the value of the product…

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Q: Find div F and curl F if F(x, y, z) = 7y°z®i – 5æ³z10j – 7xy°k. 3„10. div F= curl F=

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Q: Consider the function f(t) = 4 sec2 (t) - 2t2. nts Let F(t) be the antiderivative of f(t) with F(0)…

A: The solution are next step

Q: Find. all.Second.parkia.devevatives:.. a. fcx,y.).n(3 x+5y)...b,uze sint C.Z=ytan2x

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Q: 1. Use calculus to identify the absolute extreme values of ƒ (x, y) = y³ — 3xy + x³ on the triangle…

A: Given function is fx,y=y3−3xy+x3. We have to identify the absolute value of fx,y on the triangle…

Q: du Using Sa" in evaluating f dx du is equal to Зx+5 { A} 3dx {C}}dx 3 {B} 3xdx {D} -3dx

A: the value is:

Q: Evaluateſ (3x + 2)dx A. 3x2 + 2x +C B. 2x² + 2x + C c 를2 + + 2x + C D. + 2x + C

A: The objective of the question is evaluate the indefinite integral and choose the correct option.

Q: (c) Why can't the Fundamental Theorem of Calculus be used to calculate f' f(x) dx?

A: The Fundamental Theorem of Calculus (FTC) shows that differentiation and integration are inverse…

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: Given that dydx=dydududvdvdx.

Q: jx-P,(x)dx, n= 0,1,2,... -1 Q.3 Evaluate:

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Q: Fill in the blank so that H(t) is an antiderivative of the function h(t) given below . Note that the…

A: We have to find antiderivative of function h(t).h(t) is given below:

Q: f(t) = t²(5e¬t + 2)²

A: Given that  L tn gt =-1ndndsnGs -----(1) Here, Gs=L gt    And,  ft=t25e-t+22 Here,  tn= t2 ⇒n=2And,…

Q: dx Evaluate using trig substitution: a x'V4-x? upo an

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Q: は F-R m Show that u is 3. sauomphic to F

A: V is isomorphic to F3 means  There is a bijection map between V to F3 such that that bijection is…

Q: Find div F and curl F. F(x. y. 2) = x2' i + 3y'x?j+2?°yk Enter the exact answers. Enter a value in…

A: Fx, y, z=xz3i+ 3y7x2j+ 2z2yk

Q: 2. CG X It otx

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Q: f (x) = cx? , Dx = {-1,1,2} %3D 1.c =? 2. P(0 < X < 2) =? 3. Var (X) =?

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Q: Determine if F(x) is an antiderivative of f(x). F(x) = x²e*, f(x) = e*(x² + 3x) Show the…

A: The given function is: fx=exx2+3x And, the given antiderivative (integral) of f(x) is: Fx=x2 ex To…

Q: af Find if f(x,y) = y sin xy ax %3D

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Q: ind V × (V x F) if F(x, y, z) = 9xyj+ 6xyz k. V x (V × F) = ||

A: Topic:- application of derivatives

Q: Let a > 0,b > 0 and c> 0 be constants. Calculate the votane of k = {tr, p. ) 2 {(x, y, z) E R³: a? +…

A: The given problem is to find the volume of given surface, the given surface is ellipsoid, we know…

Q: af Let f(x, y) = 3x – y4 + 1. Find of and əx ду

A: Given : fx,y = 3x-12y4+1

Q: True or False. colspace(Anxn) = {v : v = Ax for any x E Rn}

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Q: Paove that b the total ditfesential equation Po) de +Q d y + R)d2=0N Integaable it and only it dR-dp…

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Q: yo :) domain a) H(x,y;z) of り F(ygrと) 二 ii) cuul (ス)M ()

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Q: How do I find the verticle asymtotes? f(x)= 1/ √x sec x

A: Vertical asymptote occurs when denominator is 0.

Q: 2) Golve the initi al value puoblem : (x-1)y"+y'+2 (x-1)y=0 ; y(4) =5, y'C4) -o

A: Note: according to our guidelines we can answer second question because there are multiple questions…