Find fCx) if flo)=0 and the tanGat (k,F CX) has ine af Slore x(x+2) a

Q: 7 Find the li foc.y)=3=

A: f(x,y)=3xe^(-xy/3) f(x,y)=3xe^(-xy/3)  given (x0,y0)=(2,0) linear approximation…

Q: Let F(x, y, z) = x3³yz² - 6x²yz + 9xz - 2y³z. Find F Fxyz' 3x²yz² - 12xyz +9z+ x³z² − 6x²z − 6y²z +…

A: This question is based on Partial Derivative.

Q: If F is given by F(x) = (x – 2)³, what is the output - resulting from input equal to u² ? a) v6 –…

A: topic- polynomial

Q: d²y 54. Let y = 4r+2r+l_find CL)

A: To find the double derivative of below expression.

Q: J(1 - 4x4 +x)/x dx = 1/(2x) + 2x2 -x +C Select one: O True O False |(4csc?x-3sec2x) dx =…

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Q: In(1+ 5.x?) 2 – 3x Differentiate with respect to x.

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Q: Let F(t) = (4t³ - 1)j + (5t+2)k. Find F'(t). 7"(t) O 288t 288t³j 05+288t³ O 36t³ +5 O None of these

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Q: Find dy of 67 2. 2. my

A: The given equation is   yx=x2+2y2+1(ln y)x The product rule for derivatives is expressed as…

Q: lim (Vr+ 45 – Væ) =? Vx) =?

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Q: Suppose that 2x² - y² = t² and x = t cos 0. Find (a). ¹(2), X and 0

A: answer is in next step

Q: x 6. Differentiate: y = x² + 3x - 1 A. C. x²+1 x²+3x-1 -x²+1 (x²+3x-1)² 0 2x²+3 eldet 10-(x²+1) B.…

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Q: swer C. If AB-5. -? IfC -A +B, and F =A-B, then C-F-? WO

A: It is given that AB→=5. The given figure is a cuboid. Thus, AB→=CD→=FE→. Since AB→=5, FE→=5.

Q: of have Σ f(m). nez ory" + HAIF bo turn food (A-LAI) - (A) A

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Q: Condition JW=3.6, j0=0.4

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Q: 1. Given f(x, y) = x' + y* find and ax?' dy' axðy дудх 2. Find whether the function F = (r² – y' )i…

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Q: If A = 2 1 2. show that A² – 4A – 5) = 0, %3D %3D 12 2 1.

A: To show that  A^2-4A-5I=0

Q: Let f(x)=x²- 3 g(x)=Vx+7. Find f(g(2)) 8 О 12 О -12 O O O O

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Q: use Lagrarge mul tipliers Sublect to the Constcair t to mekim,ze x+2y=5

A: Consider the given information. fx,y=x+4xy+6y and x+2y=5 Now, make the auxiliary function.…

Q: dy de Xoy. -Secxy)

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Q: Let f(x, y) = (- (3z + y))°. Then

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Q: f(x) = 2/1/2 and g(x)=3x+1, find the following: b) (gof)(x) 8. Let f(x)= a) (fog)(x) c) (fof)(x) d)…

A: according to bartleby guide line we do only first part of multiple questions given  f(x)=1x2  and…

Q: f) = Vx?+4x+4 9=3 Find (f") (@)

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Q: Find yp for y" + 5y' + 4y = -2x + 3 1- O Option 1 XIN 2 +8+ C

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Q: 1 Find the Nahee af the falloding in togreals's Jet X+1 3. 8. +3. -4+3 da -2 2 JX -9. 2. Lett-lx 9.…

A: You don't mention which question i have to solve. And you already solved them. I go through all the…

Q: Let Ci and co be arbitrany canstants. Geneial solutian to the hamogencus dfferenti al oquation 1692…

A: Given differential is Cauchy Euler's differential equation

Q: Compute Re fli) when: $(z) = √√Z-₁² and f(0) = − i

A: Given: It is given that fz=z-1 and f0=-i. To Find: We have to compute Re fi.

Q: Given, F = x²yî – 2xzj + 2yzk. Find V × (V × F)

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Q: By using the substitution u = 4x + 1, evaluate (4х + 1) dx +x + k 4x? + x + k (4x + 1)² + k x' + x +…

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Q: What is r' (x) when r(x) = In ? Select the correct answer below: O Pu) = - Sr+1 O rw = - Sr+1 x) = !…

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Q: If z = f(x, y) and z4 – x² = x²y²z? əz Find: dx az and dz ie

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Q: Find yp for y" + 5y' + 4y = -2x + 3 1- Option 1 x 2 +8+C

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Q: Q3/ prove fry = fyx if f(x,y) = x + xy – 5x³ + In(x2 + 1)

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Q: Q2. If w = f(u, v) , u = cosx and v = sinx, show that: (30 Marks) d?w = v? fuu + u² fvv – 2uvfuv –…

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