f(x) = sgn([x]) +1

Q: Find c such that the function x2 – 9 x с is continuous everywhere. - С —

A: f(x) will be continuous at x=c. when value of the function at c , left hand limit of f(x) at c  and…

Q: Find the funchion f Such that F(x) xf (x)-x and fo) 2

A: Convert the given problem to a simple differential equation and solve the same.

Q: Evaluate f''(c) at the point. f(x) = (x2 - 4)(x3- 2), c = 1

A:

Q: Is there a real function f(x) that is differentiable only at a point x?

A:

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: Is the function a. EVEN h ODD f(x) 1, -π<x<0 1, 0≤x<T

A:

Q: Find a formula for f-'(x) and (f -1)'(x) if f(x) = V х-2

A:

Q: Find the absolute extrema of f(x) = x3 +5x2-8x+2 on the interval [−1, 2].

A: Given function is fx=x3+5x2-8x+2 ; x∈-1, 2

Q: 2. Given that f(x) = Vx+1 and g(x) =x² -9, find |(x) and give its domain in interval notation.

A:

Q: Find the constant a such that the function is continuous on the entire real line. S 8x², f(x) ax -…

A:

Q: On what domain is the function f(x)=1+√−6−3x continuous?

A:

Q: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: Consider the piecewise function: |x- 1| x² – 1' x <1 f(x) = (Ax² + 6, x 2 1 For what real number A…

A:

Q: D. Discuss the continuity of the function g (x): 1 %3D on the interval [-1,2]. x2-4

A: Given, To discuss continuity of the function g(x)

Q: If you need to prove that a ∈ f^−1 (Y ), what do you need to show?

A: Here we need to show the way to prove a∈f-1(Y)

Q: Prove that f(x) = x 2 takes on the value 0.5 in the interval [0, 1].

A: We have to prove that f(x)=x2 takes on the value 0.5 in the interval [0, 1].

Q: Show that the real-valued function f: R → R defined by f(x) = x° x E R. 3x2 + 3x + 1 increases for…

A: Answer

Q: For what value of the constant c is the function f continuous on (-∞, 0)? { cx2 + 5x if x 4

A:

Q: 2) Consider the piecewise function: |x – 1| x² – 1' x 1 For what real number A is the function…

A: A function f(x) is continuous at x=a if the left-hand limit and the right-hand limit of the function…

Q: Find the values of x for which the function f (x) = x −7/x^2 + 3x −70 is continuous.

A: Topic:- function

Q: Determine the error term of for the formula: f'(x)  ≈ (1/4h) [f(x+3h) - f(x-h)]

A: In order to find the error term of the given expression, first find the value of f(x+3h) and f(x-h).

Q: Find a function f(x) such that f'(x) = 6x² – 3 and f(0) = 1 - %3D f(x) =|

A: Given:     f'(x) = 6x2 - 3    f(0) = 1

Q: On what domain is the function f(x)=x^2+7x−6 continuous?

A:

Q: What is the value of f(1) - 168 in x³ Inx dx = f(x) ((1/4) Inx-B) + C? 3

A:

Q: what is (f o g)(x) given that f(x) = 3x+4 and g(x) = 2x-5?

A:

Q: Show that the function f(x)=x3−3x2+6x−1 is strictly increasing on R.

A: Let us find f'(x) using the power rule

Q: On what domain is the function f(x) = – 4+ v–48 – 6x continuous?

A: The given function is: f(x)=-4+-48-6x

Q: What is f' (x) when f(x) = 5e%z?

A: The given function fx=5e4x Differentiate with respect to x using the chain rule f'(x)=5de4xd4x×d4xdx…

Q: If f : [0, 3] → R is continuous, must its range be a closed interval?

A: Given data: The expression for the function is f : [0,3]→R. The continuous image of the open bounded…

Q: If f(x) = 7cos(x), what is f'(x) ?

A:

Q: The function f(x)=/25-x' is contionous on

A: It is continuous function.

Q: Suppose that f(x) is a differentiable function such that f(8)=5 and f(8)=0. If g(x)=sin(f(x)), then…

A:

Q: Find ao of the function f(x)=(-x)², 0≤x≤ 2π

A:

Q: Express f(x) in the form a(x − h)2 + k. f(x) = − 3/4x2 + 15x − 77   f(x)=?

A: Given: f(x) = − 3/4x2 + 15x − 77…

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: For what value of the constant c is the function f continuous on (-0, ∞)? ( cx2 + 8x if x < 5 f(x)…

A: Given f(x) = cx2+8x   if x&lt;5x3-cx  if x≥5               we find the constant C is the function f…

Q: What is f'(x) at x = -1 of the function f(x)=x^-2 + (x^2)^(1/2) *

A:

Q: Can you apply Rolle's Theorem to f(x) = x3?

A: Given that f(x) = x^3 Since f(x) is strictly increasing continuous function , therefore     (1).…

Q: f(x) = x* – }x' – x + 2x –1 -

A: Given   f(x)= 14x4-23x3-12x2+2x-1has turning point at where the f'(x)=0differntiate f(x) with…

Q: Use the intermediate value theorem to show that f(x) = e −x 2 − x has at least one root in the…

A:

Q: Find the constant a such that the function is continuous on the entire real line. (9x², Flx) = {9x?,…

A: Given function is : fx=9x2    ,      x≥1ax-6   ,    x&lt;1 Here given that function is continuous…

Q: Find a number c that satisfies the conclusion for f(x) = x + x-1 on the interval [0, 2]

A: Answer is 2/√3

Q: Develop a general rule for f(n)(x) given f (x).…

A: the function given to us is    f(x) = xn

Q: Evaluate f''(c) at the point. f(x) = (x2 - 5)(x3- 5), c = 1

A:

Q: Express f(x) in the form f(x)=(x-k)q(x)+r for the given value of k. f(x)= 5x^3+x^2+x-2, k=-1

A:

Q: Let h(x)=f(x)g(x) where f(x)=2x^2−4x, g(−2)=4, and g′(−2)=−5 what is h′(−2)?

A:

Q: What is the domain of the function f(x) = %3D 5" Vn n-1

A:

Q: 2 Determine f(x), given f'(x) = x´ – 3x + 1, and f(0) = 2.

A: As per the company guidelines we are supposed to answer only the first question.Kindly repost the…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.