A 4. What is the domain of the function f(x) = V2x - 1? %3D O all real numbers %3!

Q: What is the value of a such that the function y = 2x4 - ax² + 3 has twin global minima at x = -3 05…

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Q: Suppose ƒ is an even function and Evaluate

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Q: 클 ~D f(x) = x² e² е (12) Find f '(x). f'(x) = x²²²e² + e² 2x² f" (x) = X

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Q: Please I want solution of question 4 with step by step. Many Thanks

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Q: Where does the relative maximum value of f occur when f' (x) = x³ – x ? (а). —1 (b). О (c). 1 (d). 2

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Q: Can you please answer this question and show the work

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Q: ] B1(a): Find the value of k that makes function continuous at x = 4 | 3x + 6 5х — k f(x) = x > 4 x…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Find the critical values of the function below. **x-24x? 8 -x³–24x² f(x)

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Q: Where does the graph of the function h (x) = x* + 3z² – 4 cross the x-axis? %3D O x= -1 and x = 1 O…

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Q: a. What is the value of f (0.6)? f(0.6) = %3D b. What is the largest value of x for which f(x) = 2?…

A: a) f(0.6) = 0.5

Q: 2. The average cost (in dollars) per mile for riding a miles in a cab is c(x)=2.5+2z As x gets…

A: Given that: c(x)=2.5+2xx

Q: 1 g(x) (1 – x)3'

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Q: f(x, y) = e-(x²+y²)(3x² + y²) Calculate the extreme values of the function: = e-(x²+y²) (3x²+ y?)

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Q: The revenue function is given by R(x)=x⋅p(x) dollars where x is the number of units sold and p(x)is…

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Q: For what x-value(s) is this function not differentiable? x² – 9 f(x) x + 3

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Q: x+k², ifx < 2 What value(s) of k will make f(x) = - continuous? %3D |kx + 10, if x 2 2

A: If the function is continuous then left limit is equal to right limit

Q: Investigate for maxima and minima the function $(x)=[{2(--1)(t–2) +(»-1°(r-2)"}at |

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Q: 10) What is the domain of the function f(x) = Eo?

A: Domain

Q: The function below has a critical point at x = 3. What is the exact value of b (as a fraction - no…

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Q: 1. Solve for the values of x in the function below. f(x)=x3-4x-0.5x2+2

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Q: F(x)= X^3-18X^2+81X Maximas occur at x=

A: Assume x=c is the critical point of f(x). If f'(x)&gt;0 to the left of x=c and f'(x)&lt;0 to the…

Q: 3x + 8 If f (x) = 2r and f(0) = -8, what is the value of A? A %3D A =

A: Find the value of A

Q: g(x) = 10) Find the extrema for in [-5,-0.5] x² + 4x+4 X

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Q: 13. For the function f(x) = (x – 2)² + 4 where is the function: a. increasing? b. decreasing? c.…

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Q: 6. If f(x) = x - 1 and gx) 3x + 10, what is f(g(-6))? %3D %3D

A: Given,    f(x) = x2 -1 g(x) = 3x + 10   To find : f(g(-6)) =?

Q: 9. Find the domain of the function 1 – ex² 1 – e'-x? f(x) =

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Q: A company has found that its expenditure rate per day (in hundreds of dollars) on a certain type of…

A: Given,           A company has found that its expenditure rate per day in hundreds of dollars on a…

Q: Suppose the total cost C(x) (in dollars) to manufacture a quantity x of weed killer (in hundreds of…

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Q: How would you transform the function given by f(x) = |x| to fit the data shown? YA f(x) = |x| 4 2 -6…

A: Given:

Q: If x is large, which function grows faster, f(x) g(x) = x2? %3D

A: The given function is fx=2x   and  gx=x2

Q: Find the extreme values of the function f(x) = x3 + 9x² + 5 on the interval x E [-1,3]

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Q: 5/A) Find for the function dx V2x - 3 (x+ 2 y =- V3x - 2 Find the Domain of the following function x…

A: We have  y=2x-3x+223x-23 differentiate with respect to x dydx=ddx2x-3x+223x-23

Q: What is the average rate of change between x = 4 and x = 7 for the function g defined below? 3 g(x)…

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Q: [4]f (x) = x* (Domain and Range) %3D

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Q: At which value of x for the function whose graph is shown below differentiable? -4 VO 8 10 12 14…

A: From the given graph, we have to find the points at which the function is differentiable

Q: Differentiate the function: k(x) = e^x / x^4 + 1 k'(x) =

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Q: 30) Which function has a range of y > 4? A) f(x) = (x-2)² + 4 B) f(x) = |x-2| - 4 C) f(x) = 3x+4 D)…

A: The solution of problem 30 is given in the next step.

Q: 1 For what value of x does the function g(x) =x³ – 2x² concave downward? %3D

A: Consider the function  gx=13x3−2x2

Q: 1. Consider the function f(x)= x5- 5x4+5x3 a. When is ? increasing? When is it decreasing? b. When…

A: Let us first evaluate the derivatives of the given function as shown below:…

Q: a) f(x) =e**+ 2x +5) 35 26 f(x) =In(x +10x + 6)

A: The detailed solution is given below Thank you

Q: 1 For what value of x does the function f(x) = =x³ – 4x attain the absolute maximum - in the…

A: here option (c) is true on doing differentiation we get the  f'(x)=3x^2/3-4 f'(x) =x^2-4 put f'(x)…

Q: Q 5. Find all relative extrema of the following function. f(x)=2x³ – 2x² -2x+1

A: We have to find the all relative extrema of the function: fx=2x3-2x2-2x+1 To find extrema of…

Q: 11. f(x)= (x-4)' +3; reflect in x-axis

A: To reflect it in x-axis, take y = -f(x)

Q: Where does the relative maximum value off occur when f'(x) = x³ - x? (а). - 1 (b). 0 (с). 1 (d). 2 a…

A: Relative maximum

Q: 4) g(x) 5 at x=3

A: Given,  g(x) = 15·13x at  x = 3 g(x) = 15·133 =15·133=15·127 =1135

Q: Eualuate the function hx)= X +Sx2+3 at the given and Simplify Values of the indePendent variable…

A: The given function is :hx=x4+5x2+3we need to find h3a

Q: A company has 100 units to spend on equipment and labour combined. company spends x units on…

A: The domain of a function is the set of values for which the function is defined. To find the maximum…

Q: -6x If f(x) = -3. then f'(3) = x+3 (Answer accurate to 2 decimal places.)

A: Given fx=-6xx+3 The quotient rule of differentiation states that ddxuxvx=vdudx-udvdxv2. The power…

Q: (-4x-12) dx (x+10) (x-4)- For F()- 1. What is F(3)? %3D

A: Option A

Q: 6. What is a point of inflexion ? Does f(x) = x' have a point of inflexion at x = 0?

A: Given that,