Find the distance from the origin to the plane through the point (-6,3, -2) and having 5i - 3j° + 4k as a normal vector.

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Q: Let f(x) — 5a* + 13х - 2. f(x + h) – f(x) Using the definition of derivative, f'(x) = lim h 0 h ente...

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Q: EXERCISE 1.2: Eliminate the arbitrary constants. Show your s 1. y = c, + Cze-4x 2. y = c,x? + Cze* 3...

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Q: Question 1 f 8(x) =3x2-4x +5 ; G(x) =x-2x2+5x , then G is the anitiderivative of f. A True B False Q...

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Q: 2.Determine the convergence of the following sequences {b»} = (1- ).(§-).(E-9.(G-).-.

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Q: 7 4 + If f(x) = 2 + find f'(x). - 4 14 x3 Find f'(4). Find f''(x). Find f''(4).

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Q: Evaluate the following integrals: dx 1. Vzax-x2

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

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Q: f(x+h)-f(x) Find and simplify the difference quotient h#0 for the given function. f(x) = - 2x2 -x+3 ...

A: solution:-f(x)=-2x2-x+3f(x+h)=-2x+h2-x+h+3            =-2x2+h2+2xh-x+h+3            =-2x2-2h2-4xh-x-...

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Q: 5. r(t) = (t°/3) i + (12/2) j, t>0 %3D 6. r(t) = (cos³ t) i + (sin³t) j, 0<t< a/2 %3D

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A: Given query is to find the derivative of the expression.

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Q: 375 + 210 Now consider the geometric series 3n" + .... Find a and r for this geometric series. 22n 2...

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