Let w f(t,0) where t and 0 are functions ofr and s, %3D dw is equal to Or then according to the chain rule

Q: 'y' and evaluate each at the given point. ху f(x, y) = - (2, -2) %3D x - y f,(x, y) = %3D ,(x, y) =…

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Q: Find S 2t²e*dt

A: Given query is to find the value of the integral.

Q: Let F(x, y) =x2+xyz+z , find at the point (1,1,1)

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Q: Suppose that y is a function of u, u is a function of x, and u = -1 when x = 2. If du/dx|x=2 = 3 and…

A: Solution

Q: State the order of the given ODE. Determine whether the equation is linear or linear. Also explain…

A: Order of differential equation: The order of differential equation is the order of highest…

Q: Jse the Chain Rule to find дz for z = ln(x² + y), x = st², y = ¹/s. Ət

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Q: › = √²) f(u)du what is dg / dx? Suggestion: Let x² = v and use the chain rule. _g(x) =

A: Given query is to find the derivative.

Q: Let f' (t) dt = 9 and f (2) = 3. Find f (6).

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Q: et f(x,y)= x^2-xy+y^2-y   what are the min and max values of Du f(1,-1)?

A: Given :  f(x,y) = x2-xy+y²-y  To find :  Maximum and minimum values of directional derivative at…

Q: Find f, (9,0) if f(x,y) = 4x eY. fy(9,0) = (Simplify your answer.) %3D

A: We can find the required answer as below

Q: Q/ if fx(x)= x and (g) is function of R.V X find the PDF of g(x)= X² ?

A: # Given: pdf of random variable x is f(x)=x  then to find pdf of y=x^2 ?

Q: W = x =t' +7, y=cos(2t), z=4t COS

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Q: If f(x)dx = 32, then f(t)dt : %3|

A: Here, Order of limit has been exchanged with each other.

Q: Find f, (8,2) if f(x.y) = e* - 5y.

A: We can find the answer as below

Q: a red coin as a 1 on one side and a 3 on the other. a blue coin has a 0 and 1. let X represent the…

A: Given Red coin→ 1,3 Blue coin→ 0,1 X→ Total of both coins Y→ No. flipped on the blue coin

Q: az Use chain rule to find x2 with x = 3rt and y = r Z =

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Q: Recall the derivatives of some common functions, and complete the table below Function Derivative…

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Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = e-xyz

A: Given fx,y,z=e-xyz Partial derivative means differentiating with respect to one variable keeoing…

Q: Find the linearization of f (x, y)= e²"¬*, at (0, 7 / 2).

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Q: First write the function y = Vx2 +1 as a composition of y = f(u) and u = g(x), and then dy apply…

A: y=x2+1y=f(u), u=g(x)To find:dydx

Q: 2] write the chain rule formula for the derivatives Of and E , where Z=ZCrisit).

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Q: (b) Calculate dx ds ду ds dz ds II || ||

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Q: Which of the following expressions best match the given statement provided that f(t) = F'(t). The…

A: Given thatf(t)=F'(t)