Consider the function y = tan 4 (-) on the interval 3' 3 a) Find the slope of the secant line on this interval. (Round your answer to the nearest thousandth place.) m = b) Find the value(s) for c that satisfy the Mean Value Theorem on the given interval. (Use your rounded answer from part a, and round the answer(s) to the nearest thousandth.) c =

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A: We have to find the tangent equation.

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A: Given:  tan θ = -3To Find : The value of θTo Show:  -3 is in the range of the tangent…

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Q: tangent

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Q: make a table of slopes of secant lines and make a conjecture about the slope of the tangent line at…

A: make a table of slopes of secant lines and make a conjecture about the slope of the tangent line at…

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A: To find the equation of the tangent line, first, we need to find the slope of the tangent line. The…

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A: slope-point form : (y-y1)= m(x-x1) ; where 'm' is slope and x1,y1 is the point.

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A: Consider the provided curve, r=8-6cosθ where θ=π4. Find the slope of the curve. First we converting…

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Q: On the interval [0, 27) determine which angles are not in the domain of the tangent function, f(0) =…

A: Please refer the attached image for complete solution.

Q: 38. y = cscx – 2 sin x, 0 <x< T %3|

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Q: Determine the equation of the tangent line(s) to f (x) = sin x tan 2x at x = Use exact values

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Q: Li) Find the equa tion Of the tangent at poind (j2) for the fon Ction ) find the normal line

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A: Given point is (1/4, 1) and given function is

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A: y=sinx2

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A: The solution of the problem is given in the next steps.

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A: Slope of tangent line to the curve is given by first derivative of curve at given point .

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A: f(x)=tan(x) at the point x=5pi/4

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A: The slope of the tangent is dydx.

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A: Given :f(x) = tan (x)To determine the slope of th tangent line to f(x) at x = 9π4

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A: The given paramedic equations are,

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Q: Find an equation of the tangent line at the point indicated.

A: To find the equation of tangent line at the given point.

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A: According to chain rule of differentiation ddxfgx=f'gx·g'(x) . Now using this rule differentiate the…

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A: Given that: y=f(x)=π3

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Q: 7. Determine the value(s) of x where the slope of the tangent line is horizontal. Use exact values.

A: If slope of the tangent line is horizontal ,set dydx=0.

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A: f(x)=2 sin x+sin2x

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A: slope of tangent line (m)=dy/dx…

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A: Solved below

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Q: 20. r = 3 cos 0 %3D

A: The given equation is; 20.       r= 3 cos(thetha). Repost the 21 and 22.

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A: Follow step 2 .

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A: Given Data The equation is y=tan x. The point is x=π/4.   The expression for the slope of the…