dw dt Find using the appropriate Chain Rule. dw dt || Evaluate dw dt Function w = x² + 7y x = 5t, y = t Value t = 2 at the given value of t.

Q: Partial derivatives Let f(x, y) = x³ – y² + 4. af a. Compute af an b. Evaluate each derivative at…

A: First we differentiate with respect to x Then we differentiate with respect to y

Q: determine directional derivative f(x, y) = x²y³ – 4y on point (-1,2) on vector direction v = (2, 1).…

A: The partial derivatives of f at (x,y)=(-1,2) are : ∂f∂x=2xy3   and   ∂f∂y=3y2x2-4. Therefore,…

Q: v (m/sec) → (sec) 0 A 2 3 4 6 -2

A: The value of the integral ∫abf(x)dx from the graph is obtained by the area covered by the function…

Q: Find indicated nh order partial derivative: ap+qu 2. if u= (x – xo)P(y- yo)ª %3D

A: We will find the required partial derivative as following.

Q: Find the derivative of F(x) = f (t³ - t) ³ dt. O 5 (t³-t) (3t²-1) ○ (x³ - x) 5 ○ 5 (2³-x) 4 O 3t² -…

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Q: Detemine whether the differential eguation iš linear of nonlinear and qve reqsons- Ox*dy txdy= Sinx…

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Q: дz az Use the chain rule to find and Əs Ət əz Əs əz at = = ¹(=), z = tan u = 3s + 5t, v = 5s - 3t

A:

Q: How do we find the linearization of g(x, y) = tan−1(xy2) at the point (1, 1). and use linearization…

A: To find the linearization of g(x,y)=tan−1⁡(xy2) at the point (1,1), we willl use the formula for the…

Q: calculate V(3r2-4vr + )

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Q: 3yY = (4x²y3+ yF/" %3D ||

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

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Q: + (xytl) Determine the Linearity of this DE. * ya dy y dy O Linear O Non-Linear

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Q: dy Find given that dt x² + y² = 3x + 5y, x = 4 y = 1, and dy dt i ! dx dt = 12

A: We have to find the value of dy/dt .

Q: Find F′(x).

A: Consider the provided integral, Fx=∫1x1tdt Find F′(x). First we evaluate the provided integral,…

Q: Use the Second Derivatives Test to find all the relative extrema and saddle points of f(x, y) = x³y³…

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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: The temperature on a cubic box [0, 4] × [0, 4] × [0, 4] (measured in meters) can be described by the…

A: Function, Tx, y, z=x2y+y2z

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

A:

Q: Find the gradent of x, y)-- and the largest value of the directional derivative of fx y can have at…

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Q: Use table of thermal sensation index values W = f(T,v) to estimate the se (-20,30), where u = value…

A: Given:W=fT,vU=22,22 FT-20,30=limh→0 f-20th,30-f-20,30htake h=5,-5for…