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If you could do these, i would appreciate it thank you! 1. Find da/de using the chain rule if z = sin(r/y), x = 2t,

If you could do these, i would appreciate it thank you!

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1. Find da/de using the chain rule if z = sin(r/y), x = 2t, and y = 1 -t2. 2. Find da/at using the chain rule if z = (x ty) e, x = 2t, and y = 1 -t2. 3. Find 83/du and Oz/ov if z = re", r = Inu, and y = v. 4. The voltage V (in volts) across a circuit is given by Ohm's Law: V = IR, where I is the current (in amperes) flowing through the circuit and R is the resistance (in ohms). If we place two circuits with resistance R, and R2 in parallel, then their combined resistance R is given by R RI R2 Suppose the current is 2 amperes and increasing at 10-2 amperes per second and R, is 3 ohms and increasing at 0.5 ohms per second, while R2 is 5 ohms and decreasing at 0.1 ohms per second. Calculate the rate at which the voltage is changing. 5. Let z = f(x, y), x = r(u, v), y = y(u, v), x(4,5) = 2, and y(4, 5) = 3. Calculate zu(4,5) in terms of a, b, c, d, e, k, p, q, r, s, t, w: fx(4,5) = a fy(4, 5) = c ru(4, 5) = e yu (4, 5) = P fx(2,3) = b fy(2,3) = d To (4,5) = k yo (4, 5) = q ru(2,3) = r yu (2,3) = 8 ro (2,3) = 1 yo(2,3) = W 6. Given the information in #5 above, calculate zo(4,5)

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