- 2x f(x) = [1] Express the following as a piecewise function: x- 2 Work: Solution: f(x)=

Q: Find the value k that makes the function continuous. (ka?, x > -2 f (x) kx + 18, x < -2

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Q: Find the slope of the secant line between x=2 and x=5 on the graph of the function f(x)=−2x2+2x+3.

A: We have to find  the slope of the secant line between x=2 and x=5 on the graph of the function…

Q: B- Find the local extreme points of the function f(x, y) = 4xy - x - y^.

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Q: Find the maximum value of the function f(x) = x² . – x within the interval0 < x < 2. -

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Q: Find the local extreme values of the function ƒ(x, y) = xy - x2 - y2 - 2x - 2y + 4.

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Q: f(x) = x – e2x

A:

Q: (b) Determine the domains and range of this function: y = v1 -x-

A: The given function is y=1-x2 the domain of the function is -1≤x≤1 In the interval notation the…

Q: b) Find the absolute maximum and minimum values of function f(x) = (x– 2)5 over the interval [-3, 4]

A: Absolute extrema can occur either at the points of local extrema or the boundaries of the interval.…

Q: The area of a rectangular garden is 125 square feet. The garden is to be enclosed on three sides by…

A:

Q: f(x) = 4x^3-(x+9)^1/2 What is the interval or intervals on which the function is differentiable on…

A: Refer  to the question the provided function is f(x) = 4x^3-(x+9)^1/2.

Q: Find the point on the graph of the function that is closest to the given point. Function Point f(x)…

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Q: The function f has a continuous second derivative, and it satisfies f(-8) = 5,f'(-8) = 0 and f"(-8)…

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Q: Find the equation of the secant line on the curve f(x) = -x²+2 passing through the points xo = -1…

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Q: The quantity of the demand per month of a certain accessory is related to the price (in 500 where x…

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Q: Find the slope of the secant line between x=−2 and x=3 on the graph of the function f(x)=−2x2 −5x+1.

A: The point on the graph when x =-2 is given by plugging x=-2 in the function:Hence, the point on the…

Q: Find f'(2) if y = f(x) is the nonnegative function defined for x, y > 0 by the equation x" = y?.

A: To find f’ (2), if y = f (x).

Q: 1. What does it mean to say that the equation +y 6ry defines y as an implicit function of r? %3|

A:

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: Given quadratic function R can be written in the form ax2+bx+c=0 This function has minimum value if…

Q: The function f is given by f (x) = (1+x)=. How do the values of f behave for small positive and…

A: Here we define  f  for small or large positive value of x.

Q: Find the slope of the secant line between x = -1 and x = 2 on the graph of the function f(x) = -2x +…

A: The given function is fx=-2x3+3. Compute the slope of as follows.

Q: The function f(x)=x2 is decreasing on the interval...................... .

A: Given,f(x)=x2 f(x)=x2 On differentiating both sides w.r.t x we get: f'(x)=ddx(x2)⇒f'(x)=2x Now, we…

Q: how would you find the x-values that the function f(x) = 2e^x - 6x have horizontal tangent lines? I…

A: The given function fx=2ex-6x

Q: The quantity of the demand per month of a certain accessory is related to the price (in 500 where x…

A: The extremum value of a real-valued function is determined through differential calculus. It is one…

Q: Find the maximum and minimum values of the function f(x) = x² – 6.x +7 on the interval [0, 5].

A: It is given that, f(x)=x2-6x+7   , on the interval 0,5We have to find the maximum and minimum values…

Q: with equation -x+3, x -1 f(x) = %3D What is the behavior of f(x) as x gets closer and closer to -1…

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Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A:

Q: The path of a diver is modeled by 24 *+ 13 f(x) = - where f(x) is the height (in feet) and x is the…

A:

Q: 1. Find the intercepts of the function. f(x)-x* +2 а.

A: Given data÷

Q: The gates of an amusement park are closely monitored to determine whether the number of people in…

A: We will find what (e-l) (4) means in this situation as following.

Q: Find the slope of the secant line between x=−1 and x=2 on the graph of the function f(x)=−2x3 +3.

A: Given lines are x = –1 and x = 2. Given function is

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: Given revenue function

Q: Vx-1 for the function f(x) = -! by using quotient rule. Vx +1

A: Use quotient rule for derivative

Q: Find the point at which the line f(x) = - x – 2 intersects the line g(x) 3x + 6 %3D

A: f(x) = g(x) Thus, -x-2 = 3x + 6   Separate variables to LHS and constants to RHS -x-3x = 6 + 2 -4x =…

Q: Find the inflection point(s) of the function f(x) 16x + 36x + 17x + 5. Show = 2r1 the work.

A: You have posted multiple questions. As per the instruction, we will be answering only the first…

Q: Consider the function f(x)=x^2+2x+2  what is the equation of the line of symmetry of f?

A: To find equation of line of symmetry of function fx=x2+2x+2

Q: dont understand the fourth and fifth row of equation of gh(x) and why the function is invalid?

A: Solution

Q: Find the slope of the secant line between x=−3 and x=4 on the graph of the function f(x)=3x2−x+2.

A: we will find slope of secant line by two point slope formula

Q: find all possible functions with the givenderivative. y' = -1/x2

A: Given: y'=1x2

Q: Find the point on the curve g(x) = x² – 2 that is closest to the point (3,-2)

A: We can represent all the points on the curveg(x) = x2-2 as (x, x2-2)Now we will use the distance…

Q: (A) Find the absolute maxima and minima for x3 y = - x + 5 over 3 [-V2, v2]. (B) Use the second…

A: When on critical point f''&lt;0 then that critical point give local maximum value of f(x)  When on…

Q: Find the absolute maximum of the function f(x) = xª – 8x² on the interval –1 < x< 3.

A:

Q: Given the function f(x) = (x – 4)(x + 5)(x – 2) its f-intercept is Enter a point [more..]| its…

A: The objective is to find x intercept and x intercept

Q: Find the maximum and minimum values attained by the function: f(x) = x +-

A: Here the given function as fx=x+5x or fx=x2+5x Differentiate with respect to x…

Q: Find the equation of the function f whoseg 3 f'(x) = (0, 4) %3D -- 1 + e

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Q: x², -2sx<1 (x+1, 1sx<2 For the piecewise-defined function f(x) = }

A: fx=x2,-2≤x&lt;1x+1,1≤x&lt;2

Q: 3. Given the function g(x) = x - 2x2 + x, find the interval(s) when g is concave up and decreasing…

A: We have given a function g(x).  We have to find the interval where g is concave up and decreasing at…

Q: The range of the function y= 16-x2 is the interval [0, 0)

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Q: The function y is discontinuous at x equals? x+2

A: Given function is: y=x-4x+2

Q: The quantity of the demand per month of a certain accessory is related to the price (in 500 pesos)…

A: To find: The number of item sold to maximize the revenue R. Given: The demand function is . Formula…

Q: Solve the Problem. Approximate the curve of the given function f. f(x) = 2x3 – 18x?

A: I am going to solve the given problem by using some simple calculus to get the required result of…