Find the arc length of the curve c(t) = (cos(11t), sin(11t), 2132) on the interval 0

Q: 3. Let h(0) be the height above ground (in feet) of a rider on a Ferris wheel at an angle 0 (in…

A: In order to solve this question we need to use trigonometry applications on ferris wheel.

Q: Find the arc length of the graph of the function f(x) = 9√³ from z = 5 to z = 7. arc length=

A: The formula to find the arc length of a curve y=f(x) from x=a to x=b is given by

Q: 8. Find the principal value of Arc tanh(1 + j2)

A:

Q: 1. Prove that the derivative of tan(x) is sec²(x) directly from the definition of the derivative.…

A:

Q: tan¬'(t)+2t² t > 0 t f(t) = t = 0 a ,btan-'(t) t < 0 Find any real number for both a, and b, that…

A: Consider the given function, ft=tan-1t+2t2t   t&gt;0a                     t=0ebtan-1t…

Q: Sketch exactly two full periods of y=-3/2 sin (x/2- pi/4). Indicate all the key points on the x-axis…

A: Given: y=-32 sin x2-π4 To sketch for two full periods.

Q: For the function y=4 sin (4x+Tt/2) +2 find a ,b & c a e

A: To find value of a, b, c we need to draw the  graph of function then measure the value. Note that…

Q: Find the vertical asymptote for the function y=3 sec 1/2x in the interval (0,4 pi)

A: The given function is y=3sec12x ; 0,4π

Q: Find the values of x between 0 and a where the tangent line to the graph of y = sin (x) cos (x) is…

A: x = π/4 ,   3π/4  The detailed solution is as follows below:

Q: Consider the function f(x) = 3 sin (r). Find the equation of the line tangent to the curve f(x) = 3…

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Q: Let f(x) = arctan + arccos (sin x), find and simplify.

A: Given function: We have to find  and simplify.

Q: Given the function f(x) – x² + tanx – 2x (Use radians]

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Q: Expand tan(x) in powers of x up to first six terms and estimate the value of the function with x…

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Q: Differentiate the given function. y=XV8X-5 y'= (Type an exact answer, using radicals as needed.)

A: