1) Determine the value of c such that the function is continuous Vx E R. Show and explain in complete sentences why your value of c makes this function continuous. (x-5, f (x) =- |cx – 4, x>2 x< 2

Q: (-3)"r" ice of the power series Vn +1 n=1

A: Series

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A: Topic:- calculus

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A: Here we have to find the linearization of f(x)

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A: Solve the following

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A: The statement is true. see below the explanation

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Q: Find each function value and limit. Use -∞ or co where appropriate. 7x* - 14x2 f(x) = 8x° +4 (A) f(-…

A: topic- functions and limits

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A:

Q: The point (1,3) is on the graph of x* . y? + 5 · y = x* + 23. Find the slope of the line tangent to…

A: Please follow the next step.

Q: Find all the derivatives of the following functions f (x) = x° + 4.x² + 3x³ – x² + 6 5 1. 1 g(x) :…

A: 1) f(x)=x5+4x4+3x3-x2+6Differentiate…

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A:

Q: Find T, N, and k for the space curve, where t> 0. r(t) = (2 cos t+ 2t sin t)i + (2 sint- 2t cos t)j…

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Q: y =1+6.x% Osrsl for Find the exact length of the curve

A: Length of the curve

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A:

Q: 12. Find the profit function for the given marginal profit and initial condition. dP = -40x + 290,…

A: Solve the following

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Q: 2. A boat is being pulled into a dock by a rope attached to it and passing through a pulley on the…

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Q: 4. Determine the equation of the plane passing through the point (1,-4, 3) and parallel to the plane…

A: Explanation of the answer is as follows

Q: al squares fr ame if the pie 16

A:

Q: O Find the limit lim f(x). Select the correct choice below and, if necessary, fill in the answer box…

A: we have to find the limit

Q: demand for a certain type of cosmetic is given by p= 540 - x, where p is the price in dollars when x…

A: Given query is to find the revenue function and maximum revenue.

Q: 1. Consider A = (0,4, 2), B = (6,0,0) and C = (3,0,-1). %3D %3D (a) Find the unit vector in the same…

A: B-2A+C=&lt;6,0,0&gt;-2&lt;0,4,2&gt;+&lt;3,0,-1&gt;…

Q: the line tangent to the graph of f at the indicated value of x. Find the value(s) of X where the…

A: The given equation is  f(x)=ln(4-x2+2x4); x=1.

Q: Jse symmetry arguments or similar to find the total charge in sphere of radius Rothat has charge…

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Q: Consider the function  f(x,y,z) = sqrt(xyz)   what is the gradient of F?   Determine the…

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Q: 1. Evaluate: f(x) = S- dx %3D 3D 0 14x2

A: To find the integral of given function. Note : As per our company guidelines we are supposed to…

Q: 3. A girl is flying a kite on a string. The kite is 120 ft. above the ground and the wind is blowing…

A: To solve this problem we use pythagorous theorem.

Q: Write the function below in the form y = f(u) and u = g(x). Then find as a function of x. %3D y = V…

A: Given:        y  = 3x2-4x+2

Q: For an arithmetic sequence, a17 = 2. If the common difference is 5, find: aj = the sum of the first…

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Q: Given the geometric sequence 31, 31/8,31/64 find an explicit formula for an find a7 please show…

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Q: n Apply the Integral Test to the series E n=1 n²+1

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Q: 13. The distance s, in metres, fallen by a skydiver t seconds after jumping (and 160(:1 – 1 + e-5.…

A:

Q: Find the nth term of the given infinite series for which n= 1, 2, 3, ... 1 1 +... 2x6 3x7 4x8 5x9 an…

A: Given 12×6-13×7+14×8-15×9+.....n is from 1,2,......... to infinity

Q: Find aly if and of to

A: Differentiation

Q: olve the triangle. 95 a-6 b- 4 Select the correct choice below and, if necessary, fill in the answer…

A: Here is the solution

Q: For f(x) = 2x - 8x° +3 find the following. %3D (A) f'(x) (B) The slope of the graph of f at x = 1…

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Q: 1-r 1 can deduce, by applying the formula at r = -9, that 10" -1/8 1-9 Select one: O True O False

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Q: Differentiate the function. t(t² + 1)4 g(t) = In V8t – 1 - g'(t) =

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Find the maximum rate of change of the function f(x, y) 4y5 at the point (5,4)

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Q: ,11,,11 x"yll The expression log can be written in the form 24 A log(x) + Blog(y) + C log(z) where A…

A: logmn=log(m)-log(n) log(m.n) =log(m)+log(n) logmn =n log(m)

Q: 4. How much should be deposited in an account paying 7.5% interest compounded quarterly in order to…

A: Compound interest

Q: 2 | [ cos ti- sin 7t j+sin 6t k]

A: Given :

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A: Let's find.

Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its…

A:

Q: Find the velocity and acceleration vectors in terms of u, and ug- r= 5 sint and 0 = 5t = (Du, + ()…

A: Recall:The velocity is given by      v =r' ur +(rθ') uθandThe accerleration is given by     a…

Q: 6. lim f(x) = +o, lim f(x) = 0 x-1+ x-1- and f(-1) = -1

A: discontinuity