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Q: Calculus I

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Q: 4 3 2 1 -5 -4 -3 -2 -K 2 3 4 5 -2 -3 -4 -5

A: Function to be continuous, peak value doesn't affect the continuity. Hence f is not continuous at…

Q: Let f(x) = r-15z + 27x + 11. (A) Use interval notation to indicate where f(z) is increasing. Note:…

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Q: Suppose f(x), g(x), and h(x) are continuous functions such that g(-1)=2, h(-1) = 3 and lim (f(x))2 -…

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Q: The shaded area of figure is best described by U B O (AUB)'u (ANB) O B' O (AUB) N (ANB) O ANB' None…

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Q: What is the equation for this function g? Continuous everywhere but not in x= 2 g(-2) = -2 intercept…

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Q: Which type of discontinuity does the function exhibit at x = 3? %3D (-x2 + 1, -1 sx<0 2х, f(x) =…

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Q: 28 + x³ Let h(x)=- x1 x² + x - 2 a) Find h(1) b) Determine the values of ß if lim h(x)exists c)…

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Q: Show that the functions f: R → R defined below are continuous. (a) f(=) =2-z; (b) f(z) = 2 - 3z. (c)…

A: a). fx=2-x Let c be any real number. Now, fc=2-c &amp; limx→cfx=limx→c2-x=2-c Clearly, limx→cfx=fc…

Q: (10) Use the definition on continuity and the properties of the limits to show that this function in…

A: The function wx=3x+2x-7

Q: 3+5 II. Let f(x) = S x+8 show that f(x)is continous IV. Show that the function given below is…

A: The given function is fx=3x+5x+8 The above function exists from -5 to infinity since the value of…

Q: a. Drawone graph of the following Properties: function t Satisfies all pe OE of Idemain 2) of f is…

A: given conditions 1) domain of f is all real  2) range of f is all real less than 5 3) f1=2 4) f4=-1…

Q: Evaluate the limit of the function f defined by f(x, y) = y = x² as (x, y) approaches (0,0). x+y 2x²…

A: To evaluate the limit of the given function

Q: Given the piecewise define function f(x)=\left{\begin {array}{1} -x+2, x\leq 2 2x-4, end…

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Q: Suppose that fis defniely differentiable funetion ared Suppose f(?): 5, f(2)=3, and f"() =-2, whih B…

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Q: (x+3)2 if xs-1 Let f(x) 2-x, if-11 (x+2)

A: Given function:                          f(x)=1(x+3)2 ,      if x ≤-12-x         if -1&lt; x≤1…

Q: 1. Let f be a function satisfying the following properties: continuous on R\{1} • f(0) = 0 and f(3)…

A: Given that a function f satisfies some properties   To Give: Equations of the two linear asymptotes…

Q: (a) Find fave of f (x) fave i = 2x over [0, 6]. e Textbook and Media

A: We do only first part of multiple questions.Given,.We know that the formula of average value of…

Q: se the three conditions to determine whether f(x) = x²-169 is continuous at x = 3. If it is…

A: we will find the required.

Q: 3x2-1 The function f(x) = is continuous on V1-x A) (1, 0). B) [1, 00). C) (-∞, 1). D) (-∞, 1]. E)…

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Q: Quadratic forms are given below. Please identify are these functions positive semi-definite,…

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Q: The graph below is the function f(x) -5 -4 -3 -2 -1 A) lim x → 2- B) lim x → 2+ 5- 4 3 2 1 D) f(2)=…

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Q: x - 5, x21 (b) A function ƒ is defined by f(x)=. 1 x<1 Show that f is differentiable at x = 1.…

A: We have to determine weather the given function is differentiable at x=1. The given function is…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: