a) Find the arc length of the catenary y = coshx between X 0 and x = In4. b) Graph the functions y = sinhx and y = sinh-1x. Please show all the steps. Use the functions y = e*, y = e*,y = x etc.

Q: Use a calculator to compute sinhx and coshx for x = -3, 0, 5.

A: We use a calculator to find the values.

Q: Analyze the graph of y = (arctan x)2.

A: Given- y=arctanx2 To Analyze- The above graph.

Q: y=(sinx)arctanx

A:

Q: Differentiate y = (-6+sinx)/(x+cosx)

A:

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: 4) Solve for x : arcsin x = arctan

A: arc sin(x) = arc tan(4/3) =>sin-1(x) = tan-1(4/3)

Q: Find sin (2)dr (hint: use a half-angle formula twice).

A: Note: sin2x=2sinxcosx  Cos2x=1-2sin^2(x) And sin^2(x)+cos^2(x)=1 by using these formulas we solve…

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

A:

Q: Find the length of the arc of this curve and Sketch the curve y cu. = x sq.  from ( -1,1 ) and ( 8,4…

A:

Q: Find the arc length of the graph of the function over the indicated interval. X = 3 Vyv - 3), 1<y s…

A:

Q: Find if cot x +1 = sin y

A: Given, cot x + 1= siny

Q: What is the value of x(near arc)?

A: Given: Far arc = (2x-30) Near arc = (x+15) Angle = 30 degree