Əz Q3.If Z= f(x,y) = 4 e In(y), and x = ln (u cosv), y = u sinv, use chain rule to find : E * ди Q4. Evaluate : (x²) dx dy -√√1-(x-1)² and az Əv

Q: Suppose Cov(X,Y) = 281. What is Cov(0.76X, 0.43Y)?

A: The objective of the question is to find the covariance of the two variables 0.76X and 0.43Y given…

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A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve…

Q: 3. If G = (2x²y – x*)î + (e*y + y sin x)j+ (x² cos y)k, find: %3D дхду

A:

Q: f(i) = 5, f'(i) = -3i, g(i) = 3i, and g'(i) = 4. Find (fg)'(i).

A: Given fi=5,f'i=-3i,gi=3i,g'i=4. Find fg'i.

Q: Q3. Show that дхду for дудх f = x² siny – 2y³ cos2x (

A:

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A: Given 3x2-y2=t2 and y=tsinθ

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Q: Зx dx VT 1-x 3:

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Q: Given f(x,y,z) = sin (5xy) + 3xyz3. Find fzzx(5,2,3). %3D zZx Answer:

A:

Q: 8. For the function y = e* + sinx: a. Determine y', y",y",y^),y(5), y(6). b. Describe the pattern…

A: We have to find the differentiations of the give function and find y101.

Q: (3x3+3x-5x2) 1- is x2 e0.5x2 xp e-2x2 3- S sec'x? tanx² xdx xp 4-(Csc Vx cotvF xp

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A: Given function is fx,y=tan2x-3y

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A: SOLUTION-

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A: (4)

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Q: Find of the function f(x,y) = sin(x²y³). əx3

A: The product rule of differentiation : (PQ)'=PQ'+QP' sinx'=cosxcosx'=-sinxxn'=nxn-1 Use the given…

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A: To find the correct option.

Q: Solve the IVP y' = [, y+,yc0) = [2]. [et y + -1 3.

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Q: The domain of f(r) =tan(x) is Select one: a. 2 2 O b. IR - + nn} O c. IR O d. R {nt}

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Q: Find the -of the following function : ду w = cos (x2 + 2 y) – e4x- z*y + y3 .A a w = 2 sin ( x2 + 2…

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A: Given that a integration and we solve this integration by general property of integration.   We know…

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A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

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A: Solution

Q: 2 Given that: J2(x)=-, cos.x + sinx find J(x)

A: