Question Ris the region bounded by the functions f(x) = /3x - 1 and %3D g(x) = +2. Find the area A of R. Enter an exact answer. 3x %3D Provide your answer below: A = units2

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Q: 1-Find the area of the region R under y=x2 + 3x + 2 Between x=-1 and x=2

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A: Given:         ∫6x2x2+9dx   Expand the integrand.      =∫6x2·x2+6x2·9dx         =∫6x4+54x2dx

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A: Given query is to find the value of c.

Q: Find the derivative of the function at Po in the direction of A. fxy) - - 2ху - 5у, Ро(9, - 4), А-D…

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Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

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A: Given function is f(x, y) =e4xsin4y.  We have to find ∇f(1, -1 ). The vector differential operator ∇…

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Q: 8. Evaluate * y" – 3y' + 2y = e3t ; y(0) = y'(0) = 0 e2t -e3t + 2 et 23t -e2t + 2et 2 O A. e3t -e2t…

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Q: 3. If A is a vector representing 50 km/h northeast, what is 3 A ? c. 30 km/h northwest d. 30 km/h…

A: Given problem:- If A is a vector representing 50 km/h northeast, what is (3/5)A ? a. 30 km/h…

Q: Consider the function f(x) = 6x² — 4а + 10, 0 < х <9. The absolute maximum of f(x) (on the given…

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Q: Q2: Solve the following linear differential equation: y' + y = x+

A: We can solve this as follows:

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Q: 8 Given a function: f(x) = (х-7)(х-1) Write down the definition that lim f (x) = L 8 OProve that lim…

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Q: 1-Find the area of the region R under y=x2 +3x + 2 Between x-1 and x=2

A: Here we have to find the area of the region R under y=x2+3x+2 between x = -1 and x = 2

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Q: -3 dx 2 x2+1 In|2| Option 1 Option 2 In|2| 2 In|2| Option 3 Option 4 112 312 112

A: A detailed solution is given below.

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

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A: This can be solved as follows:

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Q: 1-Find the area of the region R under y=x2 + 3x + 2 Between x=-1 and x=2

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