Solve the following initial value problem: dy t dt (3²,-²) y5 y(t)= | + = 0, y(1) = 1. 2y4 I

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Q: 34. [ 22+x (4x³ + 3x²)² dx

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A: According to question,Given Point : -5,1,2,Given Line : a⇀t = -5,0,-3t+-7,1,-5

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Q: 78. 1 2 4x + 12 2 (x² + 6x + 1) dx

A: Ans = 9/68 For detail ...go through the solution I have solved step by step in detail

Q: solve it by hand step by step expline each steps dx dt dy dt = 3x(t) - 4y(t) + 1 = 4x(t)-7y(t) + 10t

A: The answer is in step 2.

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Q: Evaluate the double integral. 116 1x². + 2y) dA, D is bounded by y = x, y = x³, x ≥ 0

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Q: - d the absolute maximum and minimum values of f(x) = x³ − 3x² − 9x + 10 on the interval 41.

A: we will find the required.

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Q: 10) Consider the following two functions p(t) = and 7e-2)-7 t-2 P: R R if 0 2 q: R→R q(t) =…

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Q: Suppose that f(x, y) = √√5² - x² - y² on the domain D = tr=5 O = {(x, y) | x² + y² ≤ 5²}. Q Then the…

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Q: Find the absolute maximum and minimum values of f(x) = 2 cos x + sin 2x on the interval [0]. (Recall…

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Q: Solve the given differential equation. 3ydx - 3xdy + x* dx = 8dx The solution is (Type an equation.)

A: Given differential equation 3ydx - 3xdy + x4dx = 8dx

Q: Is this fully simplifed ?

A: Find y' for the function y=6x-3x2+7x.