1 Sketch a graph of the function f(x) = 3 sin 5- 4- -87T -7 -6I -5 -47T -37 -27 27T 37T 47T -2- -3 -4 -5- -6-

Q: The maximum value of F in F(x) = - 4 cos x is 2 4 1

A: We know range of cosine function is [-1,1] Therefore maximum value of f(x)= -4cosx is, f(x)=-4cosx…

Q: Two tan gents are drawn to the function f(x) = x2 - 4x %3D + 10 through the point (1, -9). Find the…

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Q: The derivative of the function f is defined by - f'(x) = (x² + 2) sin (2x − 2). If ƒ (2) = 7, what…

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Q: Question 1 ( Use the First Derivative Test to find the local maximum and minimum values of the…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: x²-1 If f(x) = for x +1 and f(x)=2 when x 1, show that the function x-1 is continous at x=1?

A: Show that f is continuous at x=1

Q: Sketch a graph of the function f(x) 2 sin(2x). %3D -77/8-31/4-5n/8-/2 -3/8-7/4-T/8 t/4 3n/8- /25/8…

A: Given function is f(x)=-2sin(2x)We know that period of sin(x)=2πThe period of sin(2x) will be π and…

Q: Suppose that the tangent line to the graph of a function f at x=2 passes through the point (5,19)…

A: Given that the tangent line to the graph of a function f at x=2 passes through the point (5,19) and…

Q: Prove, without graphing, that the graph of the function has at least two x-intercepts in the…

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Q: 2.2 Use the Cauchy-Riemann equation to determine if the function f(2) =r- i(2-y)" is analytic or…

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Q: Find the derivatives of the following from first principle: f(x) = sin( 3x - 4 )

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: -4 Find the line 1. f(x) = x³ - 2. f(x) = cos 2 3. f(x)

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Q: Sketch a graph of the function f(x) = – 3 sin(3x). 4+ -5/6 -2/3 -/2 2t/3 5/6 -1 -2 3.

A: Topic = Graph

Q: Sketch an odd function with a positive leading coefficient having all of the following features:…

A: We have to draw graph of given odd function.

Q: Find an equation of the curve whose tangent line has a slope of f'(x) = 4x 14/15 given that the…

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Q: Find f'(x). 6. f(x) = 4x + 7x f'(x) = Compare the graphs of f and f' and use them to explain why…

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Q: Sketch the graph of the function f(x) = 12 x sin x on the interval [−3π, 3π]

A: we have to sketch the graph of the given function at the given interval. f(x)=12xsinx on the…

Q: Sketch a graph of the function f(x) = 0.5 sin(3x). 4+ 2 -5/6 -27/3 -T/2 -T/3 -Tt/6 T/2 2/3 5/6 -1 -2…

A: Here is the solution

Q: Given the function g(x) = 8x* + 84x² + 288x, find the first derivative, g'(x). = (x),6 Notice that…

A: Since, you have ask multiple part's in the question. I am answering for first three parts. Please…

Q: Given the function g(x)=8x3-12x2-288x, find the first derivative, g′(x). g′(x)= Notice that g′(x)=0…

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Q: Example 3: Find the root of: f(x) = x' - 3x+1 in the interval [0,1]?

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Q: Determine {f],where the periodic function is described by its graph. 19 2a 3a 40 (1-as) (1-) 1.…

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Q: Sketch a graph of the function f(x) = 3 sin(3x). 4 -5/6 -2/3 -/2 -T/3 T/2 2t/3 5t/6 -1 -2 -3 3. 2.

A: Sketch a graph of the function  f(x) = -3sin(3x)

Q: Sketch a graph of the function f(x) = 2 sin(z) %3D 6+ 5 4 3 -6 -5 -4 -3 -2 -1 -- 6 7 -9 -8 -7 2 3 5…

A: How to solve: make a graph of sin(x) and then transform it one by one:

Q: Find the x-coordinates of all points where the graph of f(x) = 2x^3+9x^2-168x+21 has a horizontal…

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Q: Sketch the midline and the graph of the function f(x) =-2-3 sin (x+3)) 8+ 4 -5 -4 -3 -2 -1 3 10 -2…

A: Given query is to make the grap of f(x).

Q: Sketch a graph of the function f(x) = 3 cos 6 5 4 3 2 1 -8п -7п -бп -5п -4п -3л -2л -π -1 -2 -3 -4…

A: This question is based on graphing a function from its principal function.

Q: Sketch a graph of the function f(x) : – 2 sin(x + n). - 3- -Зл/2 -5л14 -3T|4 -T/2 -T/4 Зл14 5л14…

A: Graph of sine function

Q: Sketch the midline and the graph of the function f(x) = -4- 4 sin %3D 8+ 7+ 5- 4 2 -4 -3 -2 -1 -2 -3…

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Q: 9. Given the function f (x) = 3x -4x2 + 2, use the first and second derivative tests to find: a) the…

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: Question 1 Apply the First Derivative Test to find the minimum value of f(x)=(2x^+2)/x² . Keep 4…

A: The given problem is to find the minimum value of the given function using the first derivative…

Q: 9) Find f(x) if f'(x) = 7 sin x + 2x - 3 and f(0) = -3

A: Obtain f(x) by integrating the given first derivative as follows.

Q: Sketch a graph of the function f(x) = 5 cos| 6+ 3 -87 -71 -6 -SA -47 -3T 27 -T 1 2 3n 47 57 6n 7n…

A: Given: The function

Q: Sketch a graph of the function f(x) = 4 sin %3D - 1 4 -9 -8 -7 -6 -5 -4 -3 -2 -1 -1 3. 4 6. 7. 8. 9.…

A: We use Trigonometry table to find out some values to draw graph

Q: Find the derivative of the function. 92-4x + h(x)= e 18x – 4x2 –1 92-4z++ x2 O b. 9x - 8x² – 1…

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Q: Sketch a graph of the function f(x) = – 1.5 sin(2æ). |

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Q: At what other point does the tangent line drawn to the curve f (x) = x ^ 3 from (2,8) intersect?

A: Given curve is : f(x)=x3   ..............(1)           and tangent drawn from (2,8)

Q: 6) Determine an equation for a quintic function with zeros -1 (order 3) and 3 (order 2) that passes…

A: In this question, concept of polynomial is applied. Polynomial The term "polynomial" refers to a…

Q: Which of these is fixed point equation for f(x) = x*+5x²-x-3. O f(x)=-x = x*+2x²-x-3 O f(x)=|x |=…

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Q: sketch the curve f(x)= ln((x^2-4)/(x^2-3x-4))

A: given curve is                                                     f(x)=lnx2-4x2-3x-4 we have to…

Q: 5. Consider two entire functions with no zeroes and having a ratio equal to unity at infinity. Use…

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Q: Sketch a graph of the function f(x) = – 2 sin (x + 4) +: + 1. 5+ 4 3- -37/2 -5/4 -3/4 -T/2 -TU4 3714…

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Q: Sketch a graph of the function f(x) : 2 sin +1 6+ 4 -7 -6 -5 -4 -3 -2 -1 -1 1 2 3 -9 -8 4 5 -2 -3 -4…

A: Given: The function

Q: Prove without graphing, that the graph of the function has at least two x-intercepts in the…

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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: The graph of f' on the interval [-3, 2] is shown below. YA (2, 4) y = f'(x) (-1, 1) (1, 1) 1 (-3,…

A: Graph of f' on the interval -3,2 is given.f'<0 for -3,-2f'>0 for -2,0∪0,2f'=0 at x=-2, x=0.

Q: Sketch a graph of the function f(x) = - 4 cos 6+ 4 2 -8л -7л -бл -5л -4л -3л -2л -л) 2л Зл 4л 5л бл…

A: We need to draw the graph of

Q: Find an equation of the tangent line to the graph of the following function f at the specified…

A: The given function is f(x)=4xx2-5. Find the equation of the tangent line to the graph of f(x)=4xx2-5…

Q: Sketch a graph of f(x) = 3 sin[2 (x – "}+1 for two cycles. -

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Q: 7, The inflection points of the function f(x)%= 글어 -금 + 12-음 ocurs at OCcurs at: ||

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Q: 9. Given the function f(x) 3x*-4x2 +2, use the first and second derivative tests to find: a) the…

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