The function f(x) = Y2x²+1 has a horizontal asymptote at 3x-5

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A: Given that: y = ax3 + bx2 + cx has a local maximum at x = 3, local minimum at x = -1, and inflection…

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A: The total-revenue and total-cost functions for producing x clocks are The profit function is

Q: Find a cubic function f(x)  = ax3 + bx2 +cx +d thathas a local maximum value of 3 at x =-2 and a…

A: At x=-2 , y=3  So,  at x=1, y=0

Q: find the horizontal asymptote(s) for…

A: Simplify the numerator and denominator of the function as follows.

Q: Find the horizontal and vertical asymptotes of the curve. x2 + 1 y = 9x2 - 26x – 3 (smaller x-value)…

A: From the given problem: y=x2+19x2-26x-3 To calculate vertical asymptote, equate denominator to zero…

Q: The horizontal asymptote of x + 5 f (x) = x2 is the line with equation O a y = 1 b y = 0 C X = 1 d.…

A: Given a function f(x)=x+5x2 To find the horizontal asymptote of f(x)

Q: Suppose the amount of a certain drug in the bloodstream is modeled by C(t)=8te-0.2t ,then the…

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Q: The area of the largest rectangle that can be drawn with one side along the x-axis and two vertices…

A: The diagram below shows the rectangle as mentioned in the problem, The rectangle is symmetric about…

Q: Perform two iterations of the Steepest Descent method to minimize the function…

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Q: In 2009, the federal income tax T on income of x dollars (up to $82,250) was determined by the…

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Q: If f(x) = x – kx-1 has a relative maximum at x = -2, then the value of k is %3D

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Q: Find the values of constants a, b, and c such that the graph ofy = (x2 + a) /(bx + c) has a local…

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Q: G&)= In (5x t10) + 1, 1 State and domain, vertical asymptote end behavior. As approches vertical, Gx…

A: Let G(x)=ln(5x+10)+1.1 The domain of the function is the set all x-values on which the function is…

Q: Find all critical points of the function y= x^4 - 8x^2.

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Q: For the function y=x, is x-0 both an inflection point and a local maximum /minimum

A: We need to find first and second derivative for this Question to know about local maximum/minimum…

Q: Find constants a and b in the function f(x) = axeb" such that f(-) = 1 and the function has a local…

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Q: 27The platis that passes through the e Point C672) and contains the lihie メー4-2t)X= 345t) Zと+4t 4. こ

A: We have to find the equation of the plane which passes through the given point and contains the…

Q: If f(x) = x -kx^-1 has a relative maximum at x = -2, then the value of k is

A: We have to find value of k.

Q: )For the function f(x) = x-48x, its local maximum is which occurs at ( ... its local minimum is…

A: Solve by derivative test

Q: If g'(x) =-3x(x+2), then the graph of g(x) has a relative maximum at what value(s) of x?

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Q: Find the values of constants a, b, and c such that the graph of y = ax3 + bx2 + cx has a local…

A: We have to find the values of constants a, b, and c such that the graph of y = ax3 + bx2 + cxhas a…

Q: At what value of x is f minimum?

A: To find: The value of x for which f is minimum. Calculation: It is observed from the graph that the…

Q: Consider the function in the graph to the right. The function has a relative maximum of at x =

A: The function has a relative maximum of  2      or x = 0the function has a relative minimum of -6…

Q: b- find any locl maximum and locl minimum values by using first derivative: f(x)=x-2x²

A: We can use application of derivative order to solve the given problem.

Q: 1. For what value (s) of x is the function f(x) = 4/2x2 - 6x not continous?

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Q: Sketch the graph of y = (x² – 1)² – (2x – 1)². [In your answer, you must include the following: •…

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Q: Determine the equation of a rational function where its domain is {x e R} and has an absolute…

A: According to the given information, it is required to determine the equation of rational function…

Q: show steps please.

A: We will find the first two derivatives of F(x) We use the fundamental theorem of calculus To find…

Q: Find the equation of horizontal asymptote of y=3(0.2^x)+15pi

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Q: b- find any locl maximum and locl minimum values by using first derivative: f(x)=x*-2x²

A: Points of local extremum can be calculated by using the first derivative. These are points which…

Q: Find the absolute minimum value on (0,infinity) for f(x)=4e^x/x^2

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Q: Given the function f(x)=x^(3)-x^(2), a relative maximum point occurs at x= ?

A: Let f(x) be the given function and c be the critical point of f. If f"(c)<0 then f has relative…

Q: 2. Find an equation of the form f(x) =b.a +c that has the horizontal asymptotes at y = 350,…

A: y=b is said to be a horizontal asymptote of a curve y=f(x) if as x tends to infinity (or -…

Q: Consider the production function:  Y = 0.75X + 0.0042X2 – 0.000023X3 At what level of X, the output…

A: The given production function: y=0.75x+0.0042x2-0.000023x3  .......1 Differentiate both sides with…

Q: Find the values of constants a, b, and c so that the graph of y = ax + bax2 + cx has a local maximum…

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Q: Find the interval where the graph of y = x3 + 2x2 − 4 is decreasing and concave up.

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Q: : Find the critical points of the function f(x) = 5æ² – 10x. -

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Q: If f (x) - 2x - kex has a relative maximum at x = -2, then the value of his

A: Given  f(x)=2x-k.exNote: As there is no h in the equation it is assumed that we need to find…

Q: 14. Show that f(x) x+4 never intersects its horizontal asymptote. %D 3x+1

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Q: Match the horizontal asymptote with its corresponding function. 5x+2 f(x) = 3x2 + 1 a. f(x)= 2x2+1…

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Q: Find the value for x for which the graph of y =2e reaches its first minimum value.

A: To find the value for x for which the graph of below equation reaches its first minimum value.…

Q: Find the values of constants a, b, and c so that the graph of y = ax3 + bx2 + cx has a local maximum…

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Q: In an economic enterprise, the total amount T that is produced is a function of the amount n of a…

A: (a) The graph of the function is as follows: (b) Here, T(1.02)=-2(1.02)3+3(1.02)2+1.02…

Q: 6. For the function y=x³, is x=0 both an inflection point and a local maximum /minimum?

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Q: The value of Wronskian of two functions y, =7* and y2 =7** is

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Q: find the marginal revenue of the function. Using the quotient rule.  40x^2 -20x/x^2-10-2

A: Given: Revenue FunctionRx=40x2-20xx2-10-2 To Find: Marginal Revenue Concept: a. Marginal RevenueMx…

Q: Consider the function y = 3x - C(In x) where C represents a constant. If this function has a local…

A: If any given function f(x) has local maxima or minima at x=a, then the point corresponding to x=a…

Q: Find the absolute minimum value on​ [0,∞​) for f(x) = 2x2 -12x + 6

A: To find the absolute minimum value of the function on the given interval.

Q: Find the values of constants a, b, and c so that the graph of y = ax + bx + cx has a local maximum…

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