The function f (x) = Vx +1 is continuous at x = 0. O True O False

Q: The function if x E Q is 0 if x E R \Q continuous at every x E R. 1 f(x) =

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Q: Suppose that f( is a continuous function. If f(#) da=4, then what is the value of T - f(x)] dæ ?…

A: To evaluate the given definite integral.

Q: If f is continuous and f(x) dx = -1, find f(2x) dx.

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Q: e that f(x) is continuous, and f'(x) is given in the figure below. y y = f'(x) 1 3

A: In this question we will use basic of calculus i.e concept of maximum and minimum. Solution of the…

Q: 2x Find the value/s of x, if any, at which f is not continuous if f(x): x+4 A 0 B -4 O and -4 O and…

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Q: For what value of the constant c is the function f continuous on (−∞, ∞)? f(x) =      cx2…

A: The function f is defined by: The definition of the function changes at x=5So the function is said…

Q: 10 If f is a continuous function and F'(x)=f(x) for all x € R, then x)dx=?

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Q: If f is continuous and ∫31 f (x) dx = 8 , show that f takes on the value 4 at least once on the…

A: Given that f is continuous and ∫31 f (x) dx = 8. We have to prove that, f takes on the value 4 at…

Q: 1- Vx – 2 f (x) = x + 3, x – 3 k x = 3

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Q: Is f(x) = -3 A. Yes B. Does Not Exist continuous at x = 3? C. No D. Cannot be determined

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Q: If f(x) is an even, continuous function for which = 4 and dx = 4, then f (x) dx 3 2

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Q: if x3 is continuous at x = 3

A: Given query is to find the value of c so that function is continuous at x = 3.

Q: Differentiate the function with respect to the independer X f(x) = +e5x + e 2 e (x) = 0

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Q: Find a value of x, if any, at which f(x) = Vx – 27 is not continuous.

A: f(x) = (x-27)(1/3) To find :- Value of x where function is discontinuous

Q: h(x) = { 3-2 -2 if x≤-1 Cx² + 4x if x>-1

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Q: If f(x) is continuous on [a, b] then 4f(x)dx = 4 f(x)dx True False

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Q: If f is continuousand ∫31f(x) dx=8, show that f takes on the value 4 at least once on the interval…

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Q: The sketch that represents a continuous function, y = f(x), such that: f'(-3)=Ø f(-3) = 5 and A(1) =…

A: The graph of continuous function f(x) is given in the options. The given data of the function f(x)…

Q: - if f(x) is a continuous function at x O, then a = 1-cos4x よく0 x? { a If f(x) = r= 0 r>0 V16+ VF -

A: Then to find the value of a if f(x) is continuous at x=0   Since for any continuous function at…

Q: If f(3) = 15, f' is continuous, and I f'(t) dt = 24, what is the value of f(4)? %3D

A: In this question, f is a primitive function and we have to find f(4). So I am providing the…

Q: V4+x-2 If f(x) = ,x*0 be continuous at x = 0, then f(0) = 1/2 1/4 3/2

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Q: f(x) = Vx-3

A: Given function is fx=x-3.

Q: If f is continuous and f(x)dx=4, xf(x2)dx=

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

A: topic - definite integration

Q: Iff is continuous on [a,b], and f(x) 20 then A True False ر VFX √f(x) dx = dx = √5 F(x f(x) dx

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Q: Which of the following functions will not be continuous at x = 2? %3D Select one: a. All of these…

A: To find that which of the given functions are continuous at x=2.

Q: If f(x) is a twice differentiable function with •1 f(0) = 5, f(1) = 4, f'(1) = 2, Then So 2x f"…

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Q: Find the values of a and b that make f continuous everywhere. if x < 2 f(x) - x - 2 ax? bx + 3 if 2…

A: Given that the function f(x). Here we find the value of a and b to make f is continuous everywhere.

Q: If f and g are continuous function of X, which of the following is true? )dx =D| (x) dx B dx3D 8(x)…

A: Given :

Q: 1. Where are the following functions continuous? x F(x) = ex + 4-x3 G(x) = 3x5 - 4x? H(x) = x-5x3…

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Q: Determine if the function is continuous at the given value of c. x?+6x+5; 1. f(x) = ;C =-2 x+3 2.…

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Q: Find the value of the constant c that makes the following function continuous on (−∞,∞). f(x)={x^2−c…

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Q: If f and 8 are continuous function of *, which of the following is true? A -dx%3D 8(x) None of the…

A: From the given conditionsnone of the condition is trueCorrect option is  B) None of the given…

Q: If the function f(x) = {cos(2πx−a),x&lt;−1x3+1,x≥−1 is continuous, what is the value of a?

A: fx=cos2πx-a,  x&lt;-1        x3+1,    x≥-1 Since Cosine function is continuous for all real numbers,…

Q: If f (x) is a function that is differentiable at x = 2 , then f (x) is continuous at x = 2. True O…

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Q: f (x) = v2 – x at x = 1

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Q: Aa 46. Find the values of a and b that make f continuous everywhere. x2-4 if x<2 f(x) = ax? - bx + 3…

A: Given that

Q: 2 If f is continuous on [0, 2] and f(x) dx = 5, find the value of | f(æ – 2) dæ.

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Q: If f is a continuous function and F'(x)=f(x) for all x € R, then - x)dx=?

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Q: If f(1) = 13, f' is continuous, and F'(x) dx = 18, what is the value of f(6)?

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Q: Find the value of c so that f(x) is continuous at x = 3? x2 f(x) = x 3

A: Given query is to find the value of c.

Q: The function f(x) = k is continuous.

A: Given f(x) = k

Q: Show whether the following function is continuously differentiable: f(x,y)=x2y2

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Q: If f is continuous on [a,b], and f(x) > 0 then (A) True B) False √√° √F(x) dx = ₁ √ [F(₂ a - f(x) dx

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Q: H.W Ex 2: Determine if the f(x) is continuous at x = 3 ? [x² – 1 f(x)=- |x² + 2 at x=3 at x+3

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Q: 1 if z 0. Is F(x) is continuous at I = 0? Justify your answer.

A: Given that for x&lt;=0, F(x) = (x - 1)/4 Then as x tends to zero from the negative side of zero, we…

Q: Suppose that f (x) is a continuous function. 3 If | f(x) dx=5, then what is the value of z - f(x)]…

A: Given, ∫13f(x) dx =5Now,∫13[x -f(x)] dx= ∫13x dx -∫13f(x) dx =x2213 -5…

Q: If f(1) = 14, f'is continuous, and f '(x) dx = 19, what is the value of f(5)? %3D f(5) =

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Q: Find the values of a and b that make f continuous everywhere. x2 - 4 if x < 2 x - 2 ax? - bx + 3…

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Q: Find the value of constant c, if f(x) is continuous at x = 2 [cx? + 2x if x 2 -

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