If: y = f (x) = k α²x² ax-b Find the limit of y as x tends to b/a for a = 3.1, b = 1.4, k = 5.4

Q: Q2. Let f: R → R be a function such that f(x) = x sin f is defined at xo, where the value of 8…

A: We have to find the value of delta(d) in terms of x0 and e while evaluating the limit at x := x0 for…

Q: If a and b are integers, then a/b is always a rational number. True False

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Q: Q34. If f'(0) = 4 and f(4) = 2 and f'(4) = k. Then find the value of k if f(x + y) = f(x) + f(y) V…

A: Let us consider a function f(x). Then using definition of derivative  f'(x)=limh→0f(x+h)-f(x)h

Q: The limit represents f '(c) for a function f(x) and a number c. Find f(x) and c. 7 Vx - 35 lim X→25…

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Q: 5. Consider the function f(x) = . (a) Use the limit definition to compute f'(2). State your answer…

A: (a) Compute f'(2) by the use of limit definition. Given information: The function is f(x)=xx+3.…

Q: 2. Determine the equation of the following function. State your answer as a piecewise function. y 10…

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Q: 2. Show function f(x,y) = does not have limit of a function at point (0,0). 2² + ?

A: We need to show that the function does not have limit at point (0,0)

Q: If the curve of f(x) concave down on the interval (-10, 10) and f'(7) =0 then at x =7, f has Select…

A: Given that a function f(x) is concave down on the interval (-10, 10) derivative of function f'(x) =…

Q: Q2. Show limit DNE зеуг 101n(x) lim (x,y) → (0,10)

A: Q2 asked and answered.

Q: 2. The limit as x→ 0 of sin x X

A: Given limx→0sinxx .

Q: 1. For which function below does lim f(x) = -∞? X-2+ 1 f(x) = - x-2 1 f(x) = - (2 – x) x² - 4 a. с.…

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: Consider the function f(x) = - +7. In this question you will calculate dx by using the definition…

A: The Riemann sum defined as,                                       S =∑i=1∞fxi∆x

Q: What is the limit of f (x) = 1 as x → T?

A: Value of a constant function is always same irrespective of input.

Q: 1.(2.2) Find the limit. (1) lim 5x x-0 sin 4x (2) lim 2x3+3y4 (x,y)(0,0) x2 + y² 2.(2.3) Let f(x, y)…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: Given f(x) = 2√. Which of the followings is the limit definition of the derivative f'(z). Select…

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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: EXERCISE 1. The equation below represents the infected class I(t) with t be- ing the time measured…

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Q: The number of houses that can be served by a water pipe varies directly as the square of the…

A: Given that, The number of houses that can be served by a water pipe varies directly as the square of…

Q: Let f(x, y) = 2*. Find fy(1, 2) using the limit definition.

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Q: Inys 5. lim y→⁰⁰ y

A: To solve for the limits of the following function using L'hospital's rule.limy→∞ ln y5y