Put the equation into the form x'(t) = g(t)h(x), and solve by the method of separation of variables. (Hint: factor.) x' = 3-tx² - t + 3x² |x(t) =tan(31 - 2 + c)

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A: According to the company rule we can answer only the first question and rest can be reposted.

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A: Recall: Known Identities sinθcosθ=tanθ a2-b2=(a+b)(a-b)

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A: Calculation of above requirement are as follows.

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A: Explained below

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A: We have to find out length of vector As per guidelines we have to solve one question please repost…

Q: Q3/ If f(x)= x=2x+1 X71, a=2 Find the followings; a) f(x) = x b) show that f(f(x)) = f (f(x)) c)…

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Q: 11. A plane has 3x + 2yz + 6 = 0 as its Cartesian equation. Determine the vector and parametric…

A: This question can be solved using the concept of planes in three dimensional geometry.

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Q: 4. What is the integral of cos xdx from pi/3 to pi/2? A. 0.134 C. 0.707 B. 0.500 D. 0.293

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Q: Minimize c = x - 7y subject to 3x + y 2 5 2x − y > 0 x - 3y ≤ 0 x ≥ 0, y ≥ 0. C = = (x, y) ])

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