Q3 find 1)angle between two vector. 2)projection of vector A&B. A = 2i + 2j - K B = 4i-6j + 4k

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A: Put y = emx into the differential equation and find 'm' . General solution : y=c1y1+c2y2

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A: This question can be solved using the concept of general equation of sine curve.

Q: Let F(x) = f(f(x)) and G(x) = (F(x))² . You also know that f(5) = 3, f(3) = 2, f'(3) = 8, f'(5) = 14…

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Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

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Q: Find a basis for the solution space of the following homogeneous system of equations: 0 -4 -2 2 1 -2…

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Q: Approximate using differential √627( answer in fractional form)

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A: We know that integration of xn is xn+1/n+1.   Here i attached the solution of this question.

Q: Q2: (A) Show that if y=csc(u), then dy du -csc(u) cot(u) dx dx

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Q: (B) What function f(t) has Laplace transform: f(s)= s² + 1 s(s+s-12) 12

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Q: -. Find the area of the region between f(x) = 1-x² and g(x) = x + 3 on the interval [-2,2] 0 2

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Q: - 3)² = 81 then, find its ce or a=<3, -1

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Q: Identify the surfaces of equations in the Cartesian form. Show your complete solutions. (a) 2² = 4 +…

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