8. Which of the following periods BEST describes this function, y = tan (x- T/3) ? А. 2тт 9. What is the period of the function y = 2 tan (1/4 x )? b. T С. Зтт/2 d. Зтт %3D a. 2T b. TT С. Зт/2 d. 4TT

Q: Find  the slope of the curve y=cos((pi tanx)/6) at the point where x=pi/2.

A: given,  y=cos(pi tanx)6  at x=π2

Q: Differentiate the function : y= sinx tanx

A: product rule: (uv)'= u'v+uv' Given: y=sinx tanx let u= sinx, v= tanx u'=(sinx)'=…

Q: What is the graph of the function over a one-period interval? y = cot 7x

A: Given: y=cot7x The graph has no horizontal asymptote and no oblique asymptote. Vertical asymptote:…

Q: /3 Without using a calculator: tan¬1 ( 3

A:

Q: y = 2 tan on the interval [-27, 27)

A:

Q: Q) Plot, on the same figure, two related functions of y1 = sin? (x) and y2 = cos (2x), in the…

A: The two curves to be plotted are  y1=sin2x and y2=cos2x.

Q: What is the y-value for the function y = tan x if x =- ? 117 4

A: Explanation of the answer is as follows

Q: give the period of y = tan (3x)

A: Here we use the general equation of tangent function that is y=a tan(bx) and the period =πb

Q: differentiate y = (cosx)cotx for cosx >0 and simplify

A: Consider the function y=cosxcotx Take logarithmic both sides lny=lncosxcotxlny=cotx⋅lncosx…

Q: Show that y = tanhx is an odd function.

A:

Q: Suppose triangle ABC is a right triangle with its right angle at C. Draw a picture of this triangle,…

A:

Q: V. Inverse Trigonometric Function sec? xdx 1. S V5-sec² x хах 2. S -7-8х-x2

A: Integration by Substitution: The given integral ∫fxdx can be transformed into another form by…

Q: Suppose that you are on the beach on December 25th and notice high tide occurs at 1:00 pm with a…

A: High tide occours at  pm and the depth is  meterLow tide occours at  and the depth is

Q: Use a graphing utility to graph y = x sin1/ x . Show that the graph is concave downward to the right…

A: Given function is y=sin1x

Q: Select the function with the greatest period. Select one: O a. y sin 0.5(x - 90°) O b. y 3 sin (x +…

A: We have to select the function with the greatest period.

Q: Luate J 1+sin 1-sin 2 r da

A:

Q: find sinA if hypotenuse = 2x and adjacent = x

A:

Q: Sketch the graph of the following between x = 4T and x = 4т. y = sin x 0.5 -Зл -2л 2л 47 -0.5-

A: y=sinx between x=-4π and x=4π