Find the maximum and minimum values of the function. y = 4 sin(x) + sin2(x) maximum value       minimum value

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A: The solution for the above question is as shown below.

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Q: 3x+sinx-3 tan x -) Given g(x) = ln- calculate g'(x). %3D 3x4-Vx

A: Given gx=lnx3+sinx-3tanx3x4-x We know that lnab=lna-lnb. Therefore, using this formula we can write…

Q: Find the maximum and minimum values of the function g(0) = 20 – 8 sin(0) on the interval %3D [0.]…

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Q: The equation of the tangent line to the curve at the point (0,4)                 4+6x=sin(xy2)+y

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Q: ifferentiate each function. a) y= /6x² – 12 (b) g(x) = (cos 0 sin 0)4 (c) f(x) = sin (3x)

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Q: lim x approaches zero, sin4x/sin3x

A: Given,

Q: Find the maximum and minimum values of the function g(0) = 70 - 9 sin(0) on the interval Minimum…

A: Topic-trigometric function

Q: B. Derivatives of Trigonometric Function Using the formula find- dx 5. y=cos (2x-1)

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Q: Exercise: - Find the extrema of the function | f(x)=5 sin(2.x) – 2x² – 4x - – Using Newton's method

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Q: Q1: Solve Two Only : x sin (x+sinx)" a- limx-0 sin'x b-lim0 X-xcos4x

A: Solve any two

Q: termine the absolute maximum and minimum values of f(x) = cos²x-cosx the interval 0≤x≤ 2π.

A: Given that fx=cos2x-cos x, x ∈0, 2π To determine:  Absolute minimum and maximum. Needed formulae:…

Q: B. Derivatives of Trigonometric Functions Using the formula find- dy dx 7. y= sin In(4x + 3)

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Q: Find the maximum and minimum values of the function g(0) = 40 – 9 sin(8) on the interval Minimum…

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Q: 3n Find the equation of the tangent lines to the curve y = sin x at x = - T, 0, and 2 Graph the…

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Q: Salve the equation for X i- CoshX=SinhX

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Q: Find the maximum and minimum values of the function g(0) = 60 – 8 sin(0) on the interval Minimum…

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Q: Find the maximum and minimum values of the function g(0) = 50 – 9 sin(0) on the interval Minimum…

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Q: Find the maximum value of  sinx+cosx at [0,pi]

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Q: y-e" sec! x-3x° 2 csC X Sin x-2X

A: on doing the differentiation of this we get the

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Q: A tangent question Verify by graphing that the graphs of y = sin x and y = x/2 have one point of…

A: The graph of the given function y=sinx and y=x2  for x>0 is shown below: In the above graph, it…

Q: Find the equation of the tangent line to the function at the indicated value of x. (x) = 1 + sin(x),…

A: Given,  fx = 1+ sinx  We have to write the equation of the tangent line to function at x = 2π and…

Q: f(x)=sinx - x/2, find the local Maxima and minima of the function

A: We first find the critical point by solving f'(x)=0

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Q: sin x 7. Determine the end behavior of f(x) = %3D

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

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Q: Write the equation of the normal line (a line perpendicular to the tangent line) to f(x)=2−cosx at…

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Q: Find the maximum and minimum values of the function g(0) = 60 - 9 sin(0) on the interval %3D Minimum…

A: we have to find the minimum and maximum  value of given function. the solution is following

Q: sin 0- cos 0 = V2

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Q: Evaluate the value of the function at the given value of x. Show work. 15. y = (4x2 – 1)³ at x = 1…

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Q: Find the maximum and minimum values of the function g(0) = 70 – 8 sin(0) on the interval [0, 7]…

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Q: ∫sin(1/x8)dx/x9

A: We have to evaluate the integral: ∫  sin1x8dxx9 This integral will be solved by substitution method…

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Q: sin z coS T Q1-Solve by hospital rule lim

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Q: 3 Find the equation of the tangent line to the curve y = 6 sin x at the point 6 The equation of this…

A: Given Data: Curve: y=6sinx Point: x1, y1=π6, 3 The first derivative of the curve with respect to x…

Q: Find an equation of the tangent line to y = 8x tan(x) at x = -2. 3 (Use symbolic notation and…

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Q: 8. A dock is 6 feet above water. Suppose you stand on the edge of the dock and pull a rope attached…

A: according to our guidelines we can answer only first question and rest can be reposted.

Q: Let f(x) 1.9 sin(x) + 6.9 cos(x). What is the maximum and minimum value of this function? max min =…

A: Given f(x)=1.9sin(x)+6.9cos(x)

Q: - sin²( a Find the equation of the line tangent to f (x) = cos² x – - sin° at x =

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Q: Plot the function f(x) = x3– 2x2– 10 sin?x - e0.9x and its derivative for -23x54 in one figure. Plot…

A: Given : fx=x3-2x2-10sin2x-e0.9x Differentiating wrt x , we get…

Q: h(x)=sin2x Set h(x)=1 and solve for x on[0,2π]. Show all work.

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Q: sin-1 x = cos s-'(1 – 2x²) x > 0. |

A: The above problem is solved.

Q: Find the maximum and minimum values of the function g(0) = 60 – 9 sin(0) on the interval Minimum…

A: topic - maximum and minimum value of function

Q: Find all values of x

A: y=mx+c Is the standard equation of a line  In this case y intercept c=0 , because the tangent…

Q: Find an equation of the tangent line to the graph of the function at the given point. function y = 7…

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Q: sin 2x J-1 x8 +x* – x² +2

A: Evalute the integration ∫-11sin2xx8+x4-x2+2dx.