Given the function f(x)=1/x, what is the vertical asymptote of f(x) ? a. x=0 b. f(x) = 1 C. X=1 d. f(x) = 0

Q: The region between the graphs of f(x)=x^2+3 and g(x)=−x+5 has ____________area square units.

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Q: Find the interval on which the graph of f(x)=ln(x^2+1) is concave upward ?

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Q: 2. The graph of a function f is given. Estimate Lf(x)dx using five subintervals with (a) right -1…

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Q: In the function:  f(x)= (3x^2)ln(x) , x>0 What are the vertical asymptotes?

A: Given function is,

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Q: find the horizontal asymptote(s) for…

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Q: Match the function with one of the graphs below using horizontal asymptotes as an ald. 4x f(x) = y 2…

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Q: For the function f(x)=x3-3x, its local maximum is which occurs at ( its local minimum is which…

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Q: Find the length of the graph of the function y = ln (1 - x2), 0 ≤ x ≤ 1/2.

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Q: 3. EVALUATE AS AN INFINITE SEMES: 0.5 a. e dx lim x- In (1 + x) b.

A: We know that, ex=1+x1!+x22!+x33!+x44!+.........................=∑n=0∞xnn! and…

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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: True or False The function f(x) = 2x/(x - 3) has y = 2 as a horizontal asymptote.

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A: This question is based on transformation of graph.

Q: Given f(x) = x^3 - 27x + 5, list the interval (a,b) where f(x) is decreasing, AND at what x-value…

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Q: evaluate the limit:  limit of the square root of 1+t - square root of 1-t / t as t approaches 0

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Q: What is the horizontal asymptote of y= (x – 1) e2 O z = 0 O y = 0 to the left O y = 0 to the right O…

A: A horizontal asymptote is a horizontal line such that the distance between the line and the function…

Q: For the function f(x) = x³ – 27x, its local maximum is which occurs at ( its local minimum is which…

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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: At what points of ℝ2 is a rational function of two variables continuous?

A: Given  The  ℝ2 is a rational function of two variables .

Q: The function g is difirentiable and satisfies g(-1)=4 and g'(-1)=2. what is the approximation of…

A: given g(-1)=4 and g'(-1)=2.         g(-1.2)=?

Q: Explain why the graph of tanh x has the horizontal asymptotes y = 1 and y = -1.

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Q: If æ = 1 is a vertical asymptote of y = f(x), then f is not defined at æ = 1. True False

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: Show that the function f(x) = e^-x^2/2 has a relative maximum at x = 0.

A: Given function is: fx=e-x22 Differentiating f(x) with respect to x we get, f'x=e-x22×-2x2f'x=-xe-x22…

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Q: Find the domain of function defined as follows. y = ln(x + 7)

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Q: Let f(x) = 4x 2. (a) Use the limit process to find the slope of the line tangent to the graph of f…

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Q: 4. Find the point on the graph of f(x) 5x2 + 20x – 3 where the tan gent line is horizontal. (a)…

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

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Q: A major car company analyzes its revenue, Ríz), and costs Cx), in millions of dollars over a…

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Q: Which of the following has a horizontal asymptote at y=0?

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

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Q: Let f=3x^2+2 and find the values below 1) f(x+h) 2) (f(x+h)-f(x)) 3) lim h→0 (f(x+h)−f(x))/h 4) Find…

A: The given function is f(x)=3x^2+2.

Q: 7. What is the equation of the asymptote for the function f(x) = 3(2x+³) + 2 a) y = -5 b) y = 3 c) y…

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Q: 6. find all local extremum value in this function f(x)= xʻe* م م م م و و ه و و و و و و ه و و و و و و…

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

A: Note :-  If f(x) has relative maximum at x=a then f'(a) =0.

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Q: Determine the equation of the function f(x) if it has a hole (point of discontinuity) at (6,3) and a…

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

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Q: On the axis below, sketch the graph of a function, f, which has a critical point at r = 1 4. (.. but…

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Q: For what value of k will x + k/x have a relative maximum at x = -2?

A: Given: f(x)=x+kx

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Q: Find a formula for a function that has vertical asymptotes x =1 and  x = 3and horizontal asymptote y…

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Q: The line tangent to the graph of g(x) = x³ – 4x +1 at the point (2, 1) is given by the formula L(x)…

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Q: Sketch the following equations on their appropriate coordinate planes. Label your new asymptote. 1)…

A: Note: We are entitled to solve only one question at a time. Given: y=4x+2 To Find: i. Sketch the…