25-x² dx In if we let u = V25 – x , then udu =-xdx.

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A: Derivative: - The derivative of the function is the equation that we find. The instantaneous rate of…

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A: The integral is given by I = ∫38x+1xdx                                      .........(1)

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Q: b Let y = x²sin(y) + yeXy, where x = s + 2t and y = st dv when s (ii) dt = o and t =1 is [d]

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Q: 19 271. dx y= 1-X) dy = -Ldx -dy= dx S-(-yei) y" dy 99 99 100 100 99 dy dy 100 %3D + R00 100 ). %3D…

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A: The given function is: u=ex+yex+ey

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Q: --- Q#3 Evaluate Cf 2x dV →Where E = {(x, y, z)| 0sys 2,0sx sV 4 - ,0 < z y} ,0 sz< y} Ee

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A: Note: "Since you have asked multiple questions, we will solve the first question for you. If you…

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A: To find The partial derivatives of f(x,y)

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A: THE EXPLANATION HAS BEEN GIVEN IN THE ATTACHED FILE.

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Q: - 3+ In x 3+ In x dy show that dx 2. (i) Given that y = [2] x(3 + In x)? 12 (ii) Hence evaluate dx .…

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A: Please see the answer below.

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A: