Oy=6 0, Oy=1 6 f(x) has no Horizontal asymptote Oy=0

Q: f(x)=2sinx-1/x of the function x€[pi/6,pi/4] Take the smallest positive root in the range of three…

A: Using Intermediate Value theorem f is a Continuous function whose domain contains the interval [a,…

Q: Does g(t)=3t^5+10t^4−30t^3+70 have any inflection​ points? If​ so, identify them. An inflection…

A: The given function is: g(t)=3t5+10t4-30t3+70 And, the derivatives are:…

Q: My topic is about Higher Order Derivatives and Optimization for reference. A cardboard box…

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Q: Suppose an arrow is shot upward on a certain planet with an intial height of 1.7 meters and an…

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Q: Find all horizontal and vertical asymptote(s) that the function f(r) = e'/= cos| (4) might have.

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Find f. f(x) = 3 f'(x) = √√√x³ + ³√√x + 5ex + sec² x, f(0) = 8 4

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Q: The function f(x)=(x)/(x-1) is discontinous at x=1 because

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Q: Find the approximate integral of the following function using Simpson's 3/8 rule and determine the…

A: Given: fx=ex2, x=0, 4, E=0.0002 To find: n To find: Approximate integral.

Q: The graph of y = f(x) is given below. Th 0 2 Which statement is true? O f'(5) < f'(-2) < f'(1) O…

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Q: Show that the function f(x) = K. when xw0 when xois discontinuous at x = 0.

A: Solution

Q: If f(x) = =√(t³3 + 3t² + 6) dt then f"(x) =

A:

Q: for fallowry f(4)= e'cos(-1) or menina finod maxina funchins

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Q: Let f(x)=√4x² + 4x + 6 f'(x) = f'(5) =

A: To find f'(x)

Q: 2. Suppose f(x+3)%3D f(xr), what is the period of the function f ? (A) 4 (B) 3 (C) 2 (D) 1

A: topic - functions

Q: Find all values of x such that f(x) > 0& all x such that f(x)< 0, then sketch the graph of f(x) = x'…

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Q: * Find y as a function of æ if y" – 8y" – y' + 8y = 0, y(0) = 4, y'(0) = -6, y" (0) = 130. y(x) =

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Q: hup lict funcrion F(xig) = x?y -eto =0 P(e, 1) Find y" (e) = ?

A: Here to use implicit diffrentiation method for solving the problem

Q: 22. Find the "natural" domain of the function f(x)=16r +Vx. x'-16x

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Q: True or False The graph of y = cos x is decreasing on the interval (0, π).

A: True or False The graph of y = cos x is decreasing on the interval (0, π).

Q: Compute f(x)dx f(x) = { 2x if x <1 4 if x 21

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Q: = -log₂ (x+3) y=. Equation of Asymptote: Mapping Rule: 2 0

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Q: find dy/dx if y=((t-1)/(t+1))^2 and x= (1/t^2)-1 at t=2

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Q: Let f(x) = 4x + 5 – 19e“. Then the equation of the tangent line to the graph of f(x) at the point…

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Q: 10. Let f(x) = x² + 2, g(x) = 3x, and h(x) = 5 - x. Write the simplified expression for each of…

A: Since you have posted multiple subparts, as per our policy we will first three subparts. Please…

Q: Find ƒ′(x) if ƒ(x) = 15e3x

A: Given information: fx=15e3x

Q: olve for the 2nd derivatives and accuracies of f(x) = -0.1x4-0.15x3-0.5x2-0.25x+1.2 at x=0.5 and a…

A: We shall solve all three parts. Recall the formulas.

Q: If g(t) = 3t° – 6t, find all t for which g'(t) = 0. - ||

A: Given : Function gt = 3t3 - 6t2   To find : all t for which g't = 0