S 4r – 6 if z < 10 Let f(r) = - 4x + b if a > 10 If f(x) is a function which is continuous everywhere, then we must have

Q: Find the value k that makes the function continuous. (ka?, x > -2 f (x) kx + 18, x < -2

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Q: Q1.Given: x? – 4 | when x 3 1.Find what values of ( a) and (b) that will make the function…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: ,15 15 ** Let f be a continuous function. If f(x)dx = 15 and f(x)dx = -8, then f(x)dx equals -5 В C…

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Q: Find the value of the constant bl that makes the following function continuous on (-∞, ∞). if x 6|…

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Q: Locate the discontinuities of the function. 2 f(x) = 1 + e7/x

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Q: - 3x + 1, x S 4 Find the value k , if the function ƒ (x) = is continuous at x = 4. -kx + 1, x > 4

A: We will find the value of k as following.

Q: 4x + 4 if r 8 36 if r= 8 Is f(x) continuous at z = 8? O Yes • No Cannot Be Determined

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Q: x+3 10. At which points do the functions y = fail to be continuous? If any, are x2-3x-10 the…

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Q: Ql.a- for what value of (k) is the function y= f(x) continuous at x=2 V7x + 2- V6x +4 -2 sx and x #…

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Q: x+k², ifx < 2 What value(s) of k will make f(x) = - continuous? %3D |kx + 10, if x 2 2

A: If the function is continuous then left limit is equal to right limit

Q: 3) Let f (x) = e=x² Where is y'> 0? What does this tell you about the original function?

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Q: 54. Is the function given by SEx + 4, for x s 3, 2x – 1, for x > 3, g(x) continuous at x = 3? Why or…

A: The given function is;  g(x)=13x+4for x≤32x-1, x&gt;3 we have to check the given function is…

Q: Q2/Show that the functions is harmonic u = 2 x (1 - y)

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Q: Зx2 — 1 Q7- Let f(x){ cx + d Vx + 8 if x 1 Determine e and d so that f is continuous everywhere (as…

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Q: (x+14 if x S2 5. Let f(x) = x? if x>2 Find the value of k that will make f continuous on (- o, 0).

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Q: Q4: A) Car A is travelling west at 60 km/h and car B is travelling north at 1150 m/min. Both are…

A: Let at any time 't', the distance of car A from the intersection is x, and the distance of car B…

Q: 4 Suppose that f(1) = 9, f(4) = -7, f'(1) = 6, f'(4) = -1, and f" is continuous. Find the value of…

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Q: Which type of discontinuity does the function S4- a², In x, x < 1 f(x) = 1<x < e has at x 1?

A: We need to choose correct option.

Q: 2. Supposethat f(x)=?βx? −3 if βx + 2 ifx≤2 x &gt; 2Find the value of β so that f(x) is continuous…

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Q: x2 – 4x + 3 - f(æ) = 5. Let x - 3 How could we define f(3) x = 3? so that J is continuous at

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Q: 3x2 – 1 if x 1 Determine c and d so that f is continuous everywhere

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Q: Зx2 — 1 if x 1 Determine c and d so that f is continuous everywhere

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Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: Given,          fx=1x+lnx ; 0.4≤x≤9

Q: (t2 –1 if t < 5 (2kt The value of k to make the function f(t) continuous at t-5 is if t 5

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Q: Sx+2, if x 1 Value of k that will make f(x) continuous on (-0, 00) is ....

A: K=3 makes f(x) continuous.

Q: Sx+5 if x m C. 8 Find the value of m such that g(x) = is continuous at x = m. A. 2 B. 4 D. -1

A: Let's find.

Q: For what value of the constant c is the function f continuous on (-∞, +∞)? cz +4 if x ≤ 10 f(x) =…

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Q: 4. a) Find the value of x where the function f(x) = (x – 4)5 is not differentiable.

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Q: 14. Consider the following function: if - 10 SIS0 3. h(r) = {15x - 3| if 0<<4 2r +1 if r24 What is…

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Q: -1.5 0 1.5 For what value of constant c is the function k(x) continuous at x = 0 if k(x)= No such…

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Q: 4). If f(1) = 12 and f' is continuous and f'(x) dx=17, what is the value of f(4)?

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Q: ,15 .2 15 ** Let f be a continuous function. If f(x)dx= 15 and | f(x)dx = - 8, then | F(x)dx equals…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (c) Determine whether the following function continuous at point (0, 0). Justify your answer. 2–xy…

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Q: 1(a): Find the value of k that makes function continuous at x = 4 4x +8 > 4 4x – k a <4 f(x) =

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Q: find the value of the constant (a, b, or c) that makes the function continuous

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Q: if x > 2 Given f(x) = {ax² + 10 (x² – 6x + B if x < 2 ’ (a) Find an equation relating a and ß if…

A: Given query is to find relationship between alpha and beta.

Q: -2 x<-1 Q1)a) For what values of a and b is g(x) = |ax - b - 1<x< 1, 3 x21 Continuous at x=1

A: From  the given problem:   gx=-2x≤-1ax-b-1≤x&lt;13x≥1     As we know that a function f(x) is…

Q: 1+ cx, if x 2 Given the function: f(x) = C - x, What should be the value of c so thatf is…

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Q: -2 x<-1 Q1)a) For what values of a and b is g(x) = |ax - b -1<x<1, 3 x21 Continuous at x=0

A: F is continuous at any point then left hand limit is equal to right hand limit. if limit is not…

Q: 4. a) Find the value of x where the function f(x) = (x – 4)3 is not differentiable.

A: According to power rule of differentiation , .

Q: 4. `s.] Find the number a and b at which f is continuous everywhere? x² -1 if x 2

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Q: Гa+ 4x ifx 1 Let f(x) (a) The value of a that will make f(x) continuous for all real numbers is a =…

A: Check the differentiability of a function when it is continuous at x= 1 .

Q: 2. Find the (exact) values of a and b so that f is continuous at a = 2. 8r2 + 20x + 28 if x 2

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Q: 9. If f(5) = 13, f' is continuous, and f'(x) dx = 16, what is the value of f(6)?

A: Use property of definite integration

Q: mx – 11 if x – 4 If f(r) is a function which is continuous everywhere, then we must have Preview

A: A function f(x) is continuous at a point x=a, if, limx→af(x)=f(a).

Q: 4 '2 If f is continuous and f(x) dx = 10, find | F(2x) dx. %3D

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Q: 2. The domain of the function y = 2159 / (k+1 - x^2)^(0.5) where k e R and k > -1, is:

A: The given function is: y=2159k+1-x20.5 ;       where k∈R   and  k&gt;-1

Q: .3 Suppose that f is a continuous function and that f(x) dx = 6. Find f(3x)dx.

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