/- The function f(x) = has as its domain all values of x such that (a) x < 1 (b) 0 -1 (d) x 2 0 (e) x <0 (f) x 1 x > 1 or x

Q: (3-х, х <2 +1, x 2 2 B. Is the function h(x) continuous at x-2?

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Q: Find f-1 if f (z) = iz + 1.

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Q: 7. Let f be a function that has first derivative f /(x) = +2 and second derivative f"(x) = 2-2++2.…

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Q: (a) find the critical numbers of f, if any, (b) find the open intervals on which the function is…

A: Consider the function defined by f(x)=4-x2,                       x≤0 -2x,…

Q: 2. Let g(x) = x – 3x 3 . (a) points of g(x). Determine the critical Use the Second Derivative (b)…

A: To find- critical points, local extrema and inflection points of g(x).

Q: 20. Suppose that f(x) is continuous and differentiable on the interval [-3,0], that f(-3) = -7 and…

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Q: Questica ) Find all the possible critical points of the function f(x.y) = x - 3xy - 2y - 48x and…

A: Given: f(x, y) = x3-3xy2-2y3-48x To find the critical points , we need to solve fx =0, fy=0 Here, fx…

Q: 10- Continuity of the function f(x){*-5 -1<x<2 x² -1 2< x< 3 at x=2?

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

Q: 3. A theatre has determined that its profit function is given by P(x)=x² +9x-11, where x is the…

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

Q: Why does the Mean Value Theorem not apply to the function f(x)=x^(1/2) on the interval [-1,1]?

A: Mean value theorem can be applied on a function f(x) in [a,b] only when the function f(x) is…

Q: continuous at x- 3? Why or why not? Is the function given by f(x) = ! 3*+5, for x 3,

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Q: Find f'(x). 6. f(x) = 4x + 7x f'(x) = Compare the graphs of f and f' and use them to explain why…

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Q: Find the derivative by the limit process. f(x) = 14 – x2 Step 1 f(x + Ax) - f(x) Complete the…

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Q: Find f'(x). f(x) = x5 – 4x3 + x – 1 f'(x) = Compare the graphs of f and f' and use them to explain…

A: Given :            f(x) = x5 - 4x3 + x - 1   To find : f'(x)

Q: determine the points of discountinuty of the function f(x)=-x squared and nature of discountunuity…

A: f(x) =  -x2  We can plot this curve as

Q: 10. ( ) Find the absolute extrema of the funcion f(x) = 3 Vx2 - x on the interval -1, 1.

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Q: Consider the piecewise function 1 3.x if x < -2 f (x) = ax2 + 2x + b if – 2 < x Where a and b are…

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Q: Use f (x) = (x + 2)'(x – 1)* for this problem. A. Determine the critical points for the function. B.…

A: We are given the function f(x)=x+33(x-1)4. For (a), Here,            f'(x)=3x+22x-14+4x-13x+23. For…

Q: Use Intermediate Value Theorem and Bolzano's Theorem to show that f(x)=x^3 and g(x)=2x+3 intersect…

A: given functions are                                                     f(x)=x3g(x)=2x+3 if both the…

Q: 57. Compute the derivative of f(x) = x3/2 using the limit definition. Hint: Show that f(x +h) – f(x)…

A: To show that the derivative of the given function by using limit definition is

Q: f(x)=(-0.7x2+6.8x+4.2)e-x^2 Find the critical points, inflection points and intercepts (if any)…

A: Critical points of a function are those points where the derivative is zero and the point should lie…

Q: Find the x -values corresponding to all critical points of the function f(x)=x5-a4x , where a is…

A: Critical points of a function are the points where the derivative of the function is zero.   f(x) =…

Q: fully continuous for all x E R by use of the product rule differentiate the function f{x} = x3e-4x

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Q: Find f'(x). F(x) = x5 – 4x3 + x - 1 f'(x) = Compare the graphs of f and f' and use them to explain…

A: Given, f(x)=x5-4x3+x-1

Q: (a) find the critical numbers of f, if any, (b) find the open intervals on which the function is…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: determine the points of discountinuty of the function f(x)=(-x)2 andnature of discountunuity at each…

A: To determine the points of discontinuity.

Q: Use second derivative test, If f(x) = - 4x + 10 then f(x) has a local maximum at the point 3 %3D O r…

A: here we need to find the point at which the function has a local maxima. the solution is following.

Q: find all critical numbers of the function f(x)= 4x^4-42x^3-360x^2+35

A: Given, f(x)=4x^4-42x^3-360x^2+35

Q: The piecwise function g(x) is defined by x + 2 when x 1. What type of discontinuites are present in…

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Q: 19 – x² ; if x 3 continuous or not on the interval [0, 3].

A: Given function: fx=9-x2;if x≤3x-3;if x&gt;3 The objective is to determine if the function is…

Q: Verify Mean value theorem for the function f(x)=4x^3 over the interval  [0, 2].

A:

Q: 8- When f(x)-x' the value of error of Simpson's rule becomes .........

A: 8.) f(x)=x2f'(x)=2xf''(x)=2f'''(x)=0f(4)(x)=0

Q: Find all points where the function f(x) = |x|p with p > 0 is differentiable. How does your answer…

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Q: Find all the relative and absolute extrema of the given function on the largest possible domain.…

A: Given,  g(x)=(x-6)2/3

Q: 3) Find the value of k that makes function continuous at x = 4 Зх + 8 x > 4 f(x) = 4x – k x < 4 — k

A: A function is a relation from a set of inputs to a set of possible outputs where each input is…

Q: 3. Give an example of a function with discontinuities at x =1 and x = 5.

A: To Find : A function that has discontinuities at x=1 and x=5.

Q: 1. Does there exist a differentiable function f that is continuous on the closed interval [1, 4],…

A: Mean Value Theorem (MVT):   If f(x) is continuous on the closed interval [a, b] and differentiable…

Q: The critical points for the .function f (x) = 6æ° + 33a* – 30x + 100 X=-5, x-0, x=3/5 x=5, x=0,…

A: f(x)=6x5+33x4-30x3+100

Q: Verify Mean Value Theorem for the function f (x) = -6x+x3 over the interval [1,3].

A: f(x)=-6x+x3

Q: Show that Rolle’s theorem is false for the function f(x) = |x| on the interval [−2, 2]. How can a…

A: Given function f(x)=|x|interval [-2,2] We apply Rolle's theorem only when the function is continuous…

Q: 3/ Find the critical numbers of the function f(x)= x/5 (4-x)

A: The given function f(x)=x354-x

Q: Determine all critical points for the function. f(x)= x^3-12x-2 show all work

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Q: Sketch the graph of a differentiable function y f(x) through the point (-2,2) if f'(-2)=0 and…

A: Given: To sketch the graph of the differentiable function function y=f(x) through point (-2, 2) if…

Q: Determine all critical points for the function. f(x) = x3 - 9x2 + 1 X = 0 x = 0 and x =6 X = 0 and x…

A: The critical points of a function f(x) are points such that f'(x)=0.

Q: The critical points of the function f(x) 16x2 2x4 occur at - O x = = 0, x = ±1.60 x = 0, x = ±2.67 O…

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Q: Use second derivative test, If f(x) = 36x + 4 then f(x) has a local 3 maximum at the point O x = -7…

A: Here we need to find the local maxima of the function.  The solution is following .

Q: the average revenue is defined as the function ------- R(x)=R(x)/x       (x>0)   Prove that if a…

A: The average revenue is, Rx=Rxx  at x&gt;0. Differentiate Rx=Rxx with respect to x.…

Q: Show that the function f(x) = |x-3| is not differentiable at x = 3.

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.