Which of the following are needed to transform the parent reciprocal function f (x) = 1/x so that the child function has asymptotic at y =-2 and x=2

Q: Draw a graph to match the description given. f(x) has a positive derivative over (- o, -5) and…

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Q: Use the limit definition to compute the derivative of the function f(t) = ,, at t = -4. (Use…

A: Here, the given function is: f(t)=33-t

Q: 1 Suppose that f is a function given as f(x) We will compute the derivative of 2x +3 follows. First,…

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Q: A) Given that the graph of f(x) passes through the point (6,9) and that the slope of its tangent…

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Q: h. Use the second derivative to identify intervals where f(x) is concave up. i. Use the second…

A: Hi! You have posted multiple sub-parts. As per norms, we will be solving only three sub-parts. We…

Q: Find the value a > 0 such that the tangent line to the graph of f(x) = x²e-2x at x = a passes…

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Q: The line y = 5x – 27 is tangent to the graph of y = f(x) at x = 5. A new function F(x) is defined by…

A: Leibnitz Theorem   d/Lt [∫f(t,x) dx] = ∫af(t,x)/at dx + d/dx {ᴪ(t)} f(ᴪ(t)) – d/dt {Փ(t)} f(Փ(t))

Q: Let N be the number of applicants to a university, p the charge for food and housing at the…

A: Given that the N be the number of applicants to a university, p the charge for food and housing at…

Q: a) Determine the intervals that the function F(x) - х - 3x - 24х It is increasing and decreasing b)…

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Q: Draw a graph to match the description given. f(x) has a negative derivative over (- o, - 3) and…

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Q: a) Suppose F(x) is any function that is differentiable for all real numbers x. Evaluate the…

A: Given data is: To find the value of dFx3dx

Q: Find the value a > 0 such that the tangent line to the graph of f(x) = x²e-2* at x = a passes…

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Q: The limit below represents the derivative of some function f(x) at some number a. 2(2 + h)* – 32 lim…

A: The derivative of the function fx at some number a is given by f'a = limh→022+h4-32h…

Q: (a) Find the derivative of f (x) = x° +x+ 9. What is its sign? %3D f'(x) = 9 x+1 and f'(x) is always…

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Q: Compute the right-hand and left-hand derivatives as limits and check whether the function is…

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Q: Use the limit definition to compute the derivative of the function f(t) = , at t = -1. 4-1 (Use…

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Q: has a MAXIMUM value of 3 and a MINIMUM value of -1. There is no reection about the x-axis, so that a…

A: Given function is g(x)=acos[2(x+π/6)]+c

Q: a. Find the local extrema of each function on the given interval,and say where they occur.b. Graph…

A: Given  The function is fx=x2-2sinx2  ,0≤x≤2π.

Q: Use the definition of the derivtive to help solve the following:  a). Find the values of the…

A: By definition of limit, we have

Q: 2n y = 3x + sin 6x, - SxS Identify the inflection points and local maxima and minima of the function…

A: Given function : y = 3x + sin 6x The point of inflection is found using the double differentiation…

Q: Find the derivative of the function h(s) = 5 + 7/8s by limit process

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Q: A.Find the linear approximation of the function  f(x) = Radical(4-x)at a = 0. B.Use L(x) to…

A: Given,

Q: 1. Let f(x) = 1 – x2/3. Show that f(1) = f(-1). This means that by Rolle's the- orem there should be…

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Q: FIND THE DERIVATIVE OF THE FUNCTION BY THE LIMIT PROCESS. SHOW YOUR STEP BY STEP SOLUTIONS.  1.…

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Find the values of xx where the tangent line to the graph of f(x)=1/x is parallel to the line…

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Q: Suppose f : R → R is a C1 function such that f(-5) = 5 and f'(-5) Theorem states that x is a…

A: Let f(x) =ax+b  then find value of a and b.  Then find inverse of f(x).

Q: Determine if the following piecewise defined function is differentiable at x = 0. Зх - 5, x20 f(x) =…

A: we have to check differentiability at x=0 if right hand derivative = left hand derivative then the…

Q: Ax) = xin( ) given function calculate taylor poynomial of f(x) of degree 4 at a=4

A: Solve the following

Q: Find the 2nd derivative of f(x) = x^3+x^4 and its sign chart.

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Q: -kx + 1, x>4 a) Find the value k, if the function f (x) = (x² – 3x + 1, x 4

A: Given, fx = x2-3x+1,    x≤4-kx+1,         x >4   We have to find the value of k for which the…

Q: For #2 and # 3 use the first derivative test to find the extrema point(s). #2) f(x) = x* – 2x3 + 2x²…

A: Given; f(x)= x+8/x.

Q: f(x+h)-f(x) h Use f'(x) = lim h-0 s(x) = 6x+7 to find the derivative at x for the given function.

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Q: Find the value a > 0 such that the tangent line to the graph of f(x) = x²e-3* at x = a passes…

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Q: fxy) •[*cos*)y] e.) The function +(*) is homogenious in x and y of degree.

A: The solution is given in the next step.

Q: 1. Create an equation ƒ (x) that you can find the anti-derivative of, and a function g (x) that you…

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Q: Find the function f given that the slope of the tangent line to the graph of f at any point (x,…

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Q: Use the limit definition to compute the derivative of the function f(t) = ^ at t = -3 4-t (Use…

A: The derivative of the function f(t) is computed.

Q: Ax) = xin() given function calculate taylor poynomial of f(x) of degree 4 at a=4

A: solve the following, since previous question is not given so i can't evaluate error

Q: Question 65 please

A: Solution:   Given that the function, The definition of derivatives is defined by the formula,…

Q: Find the root of the given function using Secant Method * f(x) = e¬x*(x² + x – 1) First name starts…

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Q: Given f(x)=4x3, 0<=x<=1 Find moment generating function of X

A: The moment generating function of any function, f(x) is calculated asMXt=∫-∞∞e-txfxdx

Q: (b) If r is an R– R² function and f an R² – R function. State the General Chain rule for determining…

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Q: 32. The first derivative of the function f is defined by f'(x) = (x+1)? cos(3*) for -2 <¥ < 2. On…

A: Given that, f'x=x+12cos3x, -2≤x≤2. Now, finding the second derivative of the given function…

Q: 4. Let f(x) = { x/² sin ; (x+ 0) 0; (x = 0) i Calculate f'(0) using the definition. Hint see…

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Q: 13. Suppose f is a function whose first derivative is f'(x) = 1(x+1)(z-1)2(z-2). Sketch a sign chart…

A: Local maxima and minima

Q: 3. Consider the function f(x) = rl – 5x3. 10x + 10 (a) Show that the second derivative is f"(x) (b)…

A: Consider the given function, fx=x53-5x23 (a) Find the derivative of the function,…

Q: (a) Find the local extrema of the function fx) - 2sins on the interval Osxs2n, and say where they…

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Q: Find ALL extremum of the function g(x) = xV4 – x (-00, 4]. Use both the derivative and on then…

A: To find out the extremum of the function.

Q: Show that (4, 5) is on the graph of f(x) = 2x + 1. Since f(4) = 5 the point (4, 5) is on f(x). %3D…

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Q: - 3x* - Suppose that f is a function defined as f(r) : line drawn to the graph of f at x T + 2x – 5.…

A: Given that, fx=-3x4-x3+2x-5            ...(1)