77. In Exercise 74, let S0.08x, p(x) = l0.06x + k, for x > 100. for x s 100, Find k such that the price function p is continuous at x= 100.

Q: 6.) Use the limit definition of the derivative to find f' (x), given f(x)=x-3 x+5

A: Consider the function

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Q: 50. Is the function given by f(x) = 3x - 2 continuous at x = 5? Why or why not?

A: Given: fx=3x-2 Concept Used: Linear function is continuous everywhere.

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Q: (b). Show whether (*) is continuous at *=-2, if (3x-2 for x = -2 S(x)=. x? - 4 х- 2 for x * -2

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Q: 32? And are

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Q: Calculate Ls for on the interval

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Q: If f(x) = tanx – x and g(x) = x3, evaluate the limit of f(x)/g(x) as x approaches zero.

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Q: 1 Q.3: Discuss the limit of f (x) : at x = 0", 0*,-∞,+∞, with graphs.

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Q: Find the instananeous rate of change for f(x)= √ X at x=1 using the limit definition

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Q: express the limit as a derivative.

A: Given expression

Q: 57. Is the function given by Sx + 1, for x 4, g(x) = continuous at x = 4? Why or why not?

A: gx=12x+1,   for  x&lt;4-x+7,   for  x&gt;4 Now left hand limit at x=4 is, limx→4-fx=limx→4-12x+1…

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Q: 10 if x c - everywhere then: С —

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Q: 1 Using the definition of the derivative as a limit, find f'(x) for f(x) x + 1 ||

A: Given that:

Q: Express the limit as a definite integral on the given interval. n X;* -Дх, [1, 9] lim (x;*)² + 4 n-…

A: limn→∞∑i=1nxi*xi*2+4∆x,    1, 9 Here, fx=xx2+4, a, b=1, 9

Q: Suppose g(x)=4x^2-lnx is the derivative of f(x). Compute Lim x->0 (f(x+1)-f(1)/x) Please show steps…

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Q: 1. If F(x) = - eta dt, find F(1) and F'(x).

A: If Fx=∫exe et2 dt, then to find F1 and F'x.

Q: limit

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Q: -7 if x 2. Sketch the graph of the function and use the limit definition of the derivative to show…

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Q: ) Use the limit definition of derivative to compute k'(x).

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Q: 5. Apply L'Hopital's rule to determine the limits of the function. y = lim e"(x – a² + 9)

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Q: [4] 2. Find f'(x) using the limit definition of the derivative. Credit will not be given for any…

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Q: Estimate the limit by substituting smaller and smaller values of h. 6h lim- h-0 1 - Round your…

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Q: 6. By considering different paths of approach, show that the following function has no limit as (x,…

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Q: lim x→め x th

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Q: question. sf continuous at x = - 3? AY 5- 4- 3- 20 -5 -4 3 -2 -14 123 4 5 -2- -3- -4- -5-

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Q: Express the limit as a definite integral on the given interval. lim S 19(x/)³ – 8x;]Ax, [2, 5] 1

A: The definition of definite integral is, ∫abf(x) dx = limn→∞ ∑i=1n f(xi*)△x   in the interval a, b…

Q: 1. Let f(x) = 2 %3D Use the limit definition of the derivative to compute f'(-1). X+3

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Q: (x² +3x)(x² +2x+1) - lim x* – 2x +1 x-1

A: Here I have write the all about basic information in solution part.

Q: Is the following variable discrete or continuous: The length of time of a phone call. Discrete…

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Q: 3: determine whether following function are continuous ore not x² 4 f(x) X 2 x-2 4 X = 2

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Q: 4. Suppose that the weekly sales S (in thousands of units) t weeks after a new software has been 200…

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