The following statements are true EXCEPT A. Sa f(x) = 0 B. fk f(x) dx = k f f(x) dx for any real constant k . . C. ff(x) dx = f(x) dx + f f(x)dx D. ff(x) dx = -f(x) dx

Q: Suppose f is continuous everywhere, and | f(x) dx = -1 and 3 Find f(2)dz. f(x) dx 2. Find dx. Cannot…

A: As per our guidelines we are supposed to solve only one question i.e. the first question. For the…

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A:

Q: 13.Given f(x)= Vx, find 2f(x)+1 an expression for:

A: Given query is to find indicated expression.

Q: Suppose that f(z) = x² - y² - 2y + i(2x - 2xy), where z = x+iy. Write f(z) in terms of 2, and…

A:

Q: Bank offers a 10-year CD that earns 2.3% compounc 108 is is invested in this CD, how much will it be…

A: In this question we will use basic of algebra i.e concept of compound interest. We will simply use…

Q: A. Odd B. Neither 16. Let f(x) = 2x - 1 and g(x) = x² + 3. Calculate the value of (f-g)(4). [✔✔✔]

A: The objective of the question is to find the value of the expression (f-g)(4) given the functions…

Q: 2x+ex-1 +3

A: The function is given as fx=2x+ex-1+3. The derivative of the function is ,  f'x=2+ex-1. Let the…

Q: 3. 1 x2+12x-5 (x+1)(x-7) dx

A: We need to solve the following integral I = ∫x2+12x-5x+12x-7dx…

Q: 20) √√x(4-x) dx 0 1

A:

Q: 1. Differentiate the following. Simplify as far as possible. - 3.r)" + (1 – x)² – VF f(x) = V 2+

A: 1)

Q: a). find f o g b.) find g o f

A: Given that : The equation of the functions f(x) = 1x2+ 4  and g(x) = x - 2 .

Q: 3. Let h(x) = (f og)(x). Given f(x) = 3x2 +5 and g(x) = Vx – 3. a. Evaluate h(4). b. Determine fx).

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Q: (c) Show that f(x)>0 for all values of x, x # -2.

A:

Q: b. For what value of (k) is the function y=f(x) continuous at x=3. x3-3x2-4x+12 x#3 x-3 f(x) = k x =…

A:

Q: Let f(x) and g(x) be differentiable functions, and let a and ß be real numbers. Then d Taf (x) + Bg…

A: This is a true statement. Explanation: 1) The derivative of the sum of two differentiable functions…

Q: 2. For f (x) 1, g (x) = 1 + Vx, find the domain and range of f / g, and g/f

A: Given: fx=1, gx=1+x

Q: (x2 – 4x lx + 2 if x > 2 2. Let f(x) = f(x) = find f (5). %3D %3D if x < 2

A: This question is related to functions, We will solve it using given information.

Q: b) Is f x(x² + 1)dx = ( + x) + C true or false? show me

A:

Q: . A function f(x) has the following properties: (=) de = 4, f(2)dz = 6, f(2)dz S r(2) dz = -2, […

A: a) We divide the integral into three subintegrals

Q: 4. For f(x) = x² – 3x, evaluate a) f(2) [2,3,3] c) the value of x when f(x) = 4 b) f(m + 1)

A: Given,              f(x)=x2-3x

Q: If V(x) represents the volume of water, in cubic inches, in a tank when the height of the water is x…

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Q: Compare the values of Ay and dy if f(x) = x³ + x². 2x + 1 - æ is changes from 2 to 2.05.

A:

Q: Let f(x) = 5- x and g(x) 2, find: a. (fog)(0) b. (go f)(0) = c. (fo g)(x) Preview d. (go f)(x) =…

A: Value of the above ques is

Q: 6. 6. 6 Suppose thatf and g are continuous and that f(x)dx = - 6 and g(x)dx = 8. Find [f(x) – 5g(x)]…

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Q: Find Df,Rf/f(x). X 3 √x + √ X

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Q: Which of the following functions is differentiable for all values of x? a. fAx) = 2r' + 5x² b.…

A: Given problem:-

Q: 3. For the function f(x) = (x – 3)(x + 2) find the interval(s) on which it is positive and intervals…

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Q: If f(x)= where is f not differentiable? X+6

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Q: 2. Let f(x) = 2x – 4 a) Find f(x)dx

A:

Q: 4 Find f(x) dx if if x< 2 f(x) if x 2 2.

A: To evaluate the given integral