Find all values of c such that f is continuous on (-0, o0). S1-x², {. f(r) %3D x, C = (smaller value) C = (larger value)

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A: Rearrange the the given rational function. As the denominator tends to 0 the function is undefined.…

Q: Evaluate the function shown, where ƒ is continuous on [3, 8], ƒ(3) = 4,and ƒ(8) = 20.

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Q: For what value of b is             continuous at every x?

A: To find the value of a such that given function is continuous for every x. f(x)=a2x-2a,    x≥212,…

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A: We know,  ln(x) is continuous for all x>0 Polynomial function of x is continuous for all real x.…

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A: Given: The function, f(x) = 10-8e9-x,  x > 910-89x,       x≤ 9

Q: Q3) For what values of a and b are ax + 2b , y =x? + 3a -b, (3х -5, 0 2 Continuous at every x ?

A: Equate at given value

Q: For a continuous function f(x) on the set 2 [- 5,2], the net area Tx)dx must be -5 always positive…

A: The given question has been solved in detail

Q: f(x)=210, where is it continuous?

A: Given: fx=210 We know that graph of given function is horizontal line for every value of x

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A: Given: Function f(x) = 3x - cosx  To Find The x - values for which the given function is not…

Q: Palt A: IS fex) continuous at x= -2? (xx1 K7-2 fcx)=C2x+7x6-2 Xニー2 Justify answer. part B: EXPlain…

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Q: Q3) For what values of a and b are ax + 2b , y = x? + 3a -b, 3x-5, x 2 Continuous at every x ?

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Q: Determine whether the statement is true or false. f(t) : e-t- et 2 is continuous everywhere. O True…

A: Given that f(t)=2e-t-et Now, e-t-et =0 gives1et=etor, 1=e2tor, et=1or, t=0

Q: For what values of a is

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Q: Find all values of c such that f is continuous on (-∞, ∞). f(x) = { S 5- a², x >c (smaller value) C…

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Q: What is the definition of f(x) is continuous at x = a? ||

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Q: All continuous functions have antiderivatives. (A) True B) False

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Q: Find a value of x, if any, at which f (x) = Vx – 125 is not continuous. If f(x) is continuous for…

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Q: Find all values of c such that f is continuous on (-∞, ∞). S 4– x², x c с 3 (smaller value) C =…

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Q: 10 If f is continuous and f(x) dx = -15, evaluate f(5x) dx. %3D

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Q: Find all values of c such that f is continuous on (-o, 0). { 7- r, /(r) – (smaller value) (larger…

A: f(x)=7-x2,x≤cx,x>c

Q: 43. Let f(x, y) = Is it possible to define f(0, 0) so x² + y2 * that f will be continuous at (0, 0)?…

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Q: Find the values of 'a' and 'b', if possible, that will make the following ft f (x) continuous…

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Q: What value of c makes the following function continuous at (0,0)? f(z, y) = C, x+ y³ +2, (x,y) +…

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Q: is Continuous and S' fldx=l6, find S xf(x*)a

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Q: For what value of a is

A: Given           f(x)=x2-1    ,  x<32ax       ,   x≥3

Q: S(x*)

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Q: 3. For what value of a, f(x) is continuous at every x? Sx2 – 1 2ax x 3 f(x) =

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Q: Q3) For what values of a and b are -x* +а, xsin + 1 0<xs y = bx3 + 2 , Continuous at every x ?

A: Explanation of the answer is as follows

Q: prave that isometly an is one to one and wribrm continuous

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Q: All continuous functions have antiderivatives. (A) True (B) False

A: all continuous functions have antiderivative.  But noncontinous function doesn't have. It's true

Q: Suppose f(x) is continuous and increasing on [a, b], and concave up on (a, b). Is T6 (the Trapezoid…

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Q: What value of c makes the following function continuous at (0, 0)? f(x) = с, x + y² + 5, (x, y) #…

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Q: Consider the function f that is continuous on the interval [-5, 5] and for which 5 f(x)dx = 4.…

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Q: Which of the following interval is f(x) = O (2, +∞0) O [2, +∞0) 0 (-∞0, +∞0) ○ (0, +∞) 1 Vx…

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Q: Isg continuous on (0,1]? * if x 4.

A: Solution:Given  g(x)=xif x≤03if 0&lt;x≤13-x2if 1&lt;x≤4x-3if x&gt;4To find:g is continuous at (0,1]

Q: x = 0 f(x) sin z x +0 а) х — 0. ? b) х — 4т. ?

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Q: a. Find the value of (k) that make the fumction flk) = ,continuous atx = 0 +3k-3 x=0

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Q: Q3) For what values of a and b are -x² + a , x< 0 1 xsin-+1 , 0 < x< y = bx³ + 2 , Continuous at…

A: See the attachment

Q: Consider the function f that is continuous on the interval [-5, 5] and for which ſ ƒ (x)dx = 4.…

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Q: If ƒ is continuous on [a, b] and, what can you conclude about ƒ?

A: the integral given to us is ∫ab|f(x)|dx=0

Q: Find the constant a such that the function is continuous on the entire rea 6sin x X g(x) = a 8x if x…

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Q: Q3) For what values of a and b are (-x² + a , y = { xsin-+1, 0 < xs: bx³ + 2 , Continuous at every x…

A: See the attachment

Q: If f is continuous and even on [-a, a], then f(x S'f)dx = [ °ft-x)dx Select one: O True False

A: f is continuous and even on [-a,a] , then ∫-aaf(x)dx=∫-aaf(-x)dx

Q: Which of the following functions are continuous at (0,0)? a. f(x, y) = 2x²y³ 2r?ys b. f(x, y) = X -…

A: A function is Said to be continuous when 1. The sum, multiplication and subtraction of continuous…

Q: Find the number a and b at which f is continuous everywhere? x+a if x 1

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Q: Q3) For what values of a and b are (-x² +a, y ={ xsin - bx3 + 2 , 0 <x<: Continuous at every x ?

A: Given information: The function is y=x2+a          x≤0xsin1x+1   0&lt;x≤1πbx3+2       x&gt;1π…

Q: The pdf of a continuous RVX is given by f(x) = 5x*, where 0 <x< 1. o? = 05/252 02/150 025/36 049/111…

A: Given Data :  Random variable of probability density function is : fx=5x4       To Find : Variance :…

Q: Find the value k that makes the function continuous. S ka?, f (æ) = x > 2 ka + 4, г 2

A: Given thatfx=kx2         x&gt;2kx+4    x≤2We have to find value of K for which function is…

Q: Q3) For what values of a and b are -x² + a , x Continuous at every x ?

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