4. Find the exact arc length over the interval. a. x= from x = 2 to x = 3 16x2

Q: 3x + 6 If f(x) find: 2x +2 f'(x) = f'(3) =

A:

Q: 1.A man is 4 years older than his wife and 5 times as old as his son. When the son was born, the age...

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

Q: Fi ind the derivative with respect to x of f(x) = ( (3x³ + 8)' + 4) 9 + 2.

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the radius of convergence for: Σ (- 1)"2" n=1 Vn+4

A: use the formula for radius of convergence for the  

Q: - 5x + 7, find f(2). Use this to find the equation of the tangent line to the parabola y = 4x2 5x +7...

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Q: If f(1) = 3, f'(1) = 4, g(2) = 2, and g'(2) = 8, find F'(1). F'(1) = ... NOTE: This problem is a bit...

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: f (x) 3 —2 — (х + 8)2

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Q: (2) An open metal pan is to be made by cutting out squares of the same size from the corners of a re...

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Q: Determine the solution to the initial value differential equation y'+ 8 y2 e4 x 0, y (0) = 9 y (x) =...

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Q: Solve the differential equation with appropriate method. Finalize answer free of logarithms and radi...

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Q: r(e) = (3t - 5, t? + 2) (a) Find r'(t). r'(t) = (b) Sketch the plane curve together with the positio...

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Q: If g(x) = In(2x), estimate g'(3) by finding the average rate of change of g over the interval [2.9, ...

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Q: Let vector r(t) =  be the position function of an object. a. Find vector v(t) and vector a(t), the v...

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Q: Let s(t)- 6t³ 721 + 270t be the equation of motion for a particle. Find a function for the velocity....

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Q: Find the derivative of the 1 f(x) = x5 + (x² + 7)(x² – x – 2) + 17 5.

A: Given: fx=15x5+x2+7x2-x-2+17

Q: a²f Compute :f(x.y) = (x + y)(2x + y)² and ax 'ay дхду

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Q: b. e-Y sec² y dy = dx + xdy

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Q: Evaluate ez dV where E is enclosed by the paraboloid z = 4 + x? + y², the cylinder x? + y? = 1, and ...

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Q: dy (x2 — 9) + ху %3D0 + ху — 0 dx

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Q: Solve the differential equation with appropriate method. Finalize answer free of logarithms, fractio...

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Q: Let f(x) and g(x) 7 %3D Find the following functions. Simplify your answers. f(g(x)) = %3D 9(f(x)) =

A: Solution ) f (x) = x / ( x - 7 ) , g (x) = 5/ x  f( g (x) ) =  (5/x) / ( 5/x - 7 )  f( g (x) ) = (5/...

Q: Determine the roof of f(x) = -0.5x² + 2.5x + 4.5 Employ the initial guesses of X¸ = 5 and X, = 10

A: Here we have to use the bisection method to solve the given problem. according to our guideline we a...

Q: 4. S(x) = log,(-x)

A:

Q: 70ot(*) e*dx e2x +1

A:

Q: 5x - 3 40) y =2

A: 40)

Q: 4) Determine the instantaneous rate of change at x = 2 for f(x) = 2x2 + 4x

A: We have to find instantaneous rate of change

Q: 8x+5<15

A: NOTE: Refresh your page if you can't see any equations. .

Q: ute the directional derivative in the direction of v at the given point. S(x, y) = eY-³°, v= (12, –5...

A: We are asked to find the directional derivatives.

Q: Find the direction angles of the vector & = (2, –1, 3) %3D A. a= cos В. (쓸) (뿌). (2). С. G), 8= cos ...

A:

Q: each

A:

Q: Find the indicated derivative. 11) Find y " if y = 3x sin x. A) y " =- 3x sin x C) y" = - 6 cos x +3...

A:

Q: 1/3 1/6 Find all real solutions to 2x3 – 4x6 – 6=0. -

A: Given:      2x13- 4x16 - 6=0

Q: Use logarithmic differentiation to find f'(x) when f(x) = x° Cosx 1ト

A: We have to solve, use logarithmic differentiation to find f'(x) 

Q: Write the primitive counting results for your 159 sheep: 159= For example, the answer for "14" wou...

A:

Q: (IV) Give the standard form for the 3D TANGENT LINE to the associated curve: r (t) = ( 2 sin (t), 3 ...

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Q: 10. Let S be the set of numbers of the form { ((-1)^(n)) (2n + 1)/(4n - 1) } where n is an element o...

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Q: The demand for a certain commodity is D(x)  =  1000e−.02x units per month when the market price is...

A:

Q: 4. Consider the function g(x) = r+3° a) Find the derivative of g using differentiation rules. b) Ver...

A: The given function, g(x)=2x+3

Q: Perform the indicated operation. 6/27 - 9/75 The answer is (Type an exact answer, using radicals as ...

A:

Q: 2 cos 0 2. Write r = as an equation in rectangular cos 0-sin 0

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Q: 4 y = x4 %3|

A: topic - differential equations

Q: Sketch the region that corresponds to the given inequalities.

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Q: Use the given functions to find each of the following and their respective domains. Do not try to si...

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Q: Differentiate each function with respect to x. 2. f(x) = ln (3x^2/x^3+3)^5

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Q: 4. Consider the function g(x) = I +3 a) Find the derivative of g using differentiation rules. b) Ver...

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Q: In two or more complete sentences, explain how to find the time it takes for a rocket following the ...

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Q: 8x+5<15

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Q: Find an equation of the tangent plane to the surface at the given point. 6x² + 2y² + 4z² = 30, P= (2...

A: NOTE: Refresh your page if you can't see any equations. . the function f is 

Q: . The equations x + y = 2 and 2x + 2y = 8 are examples of equations which are

A:

Q: Subtract. Simplify by collecting like radical terms, if possible. 4/5 - 10 /5 4/5 - 10/5 =O (Type an...

A: This can be solved as follows: