5y^3z^4 e^t e(sin(t) + cos(t)) e^7t(2sin^5(t) + 5sin^4(t) + 3e^tsin^2(t)cos(t))(sin(t) + cos(t)) + 5e^t(cos^3(t)(sin^4(t)cos(t)) - sin^5(t)(cos(t) - sin(t))) cos^3(t)(sin^4(t)cos(t)sin(t)) v = x^2y^5 + yz^5, x = e, y = e*sin(t), z = e*cos(t)
Added by Mackenzie S.
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Step 1
First, let's simplify the expression for v using the given values of x, y, and z: v = x^2y^5 + yz^5 v = (e)^2(e*sin(t))^5 + (e*sin(t))(e*cos(t))^5 v = e^2 * e^5 * sin^5(t) + e*sin(t) * e^5 * cos^5(t) v = e^7 * sin^5(t) + e^6 * sin(t) * cos^5(t) Show more…
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