Calculus

posted by .

Find the area under one arch of a cycloid describe by the parametric equations x=3(2Theta - sin 2Theta) and y= 3(1-cos2Theta). Use 0 and pi for the limiting values of Theta.

A. 9Pi
B. 18Pi
C. 27Pi
D. 36Pi

Find the area in the first quadrant bounded by the arc of the circle described by the polar equation r = 2sin Theta + 4cos Theta. The circle is graphed in the accompanying figure.

A. 5pi/2
B. 5Pi/2 + 4
C. 5Pi
D. 5Pi + 8

  • Calculus -

    First, I get (C)

    next, I get (B)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    1)Find cos theta if sin theta=3/5 and 90 degrees<theta<180 degrees. A)4/5 B)-4/5 C)square root of 34/5 D)-square root of 34/5 I chose A 2)Simplify:1-csc^2theta/cot^2theta A)-1 B)1 C)tan^2theta D)1/sin^4theta I chose C 3)Simplify:-5(cot^2theta-csc^2theta) …
  2. Math

    There are no typos and no work b/c I don't know how to do them. Thanks. 1)Find cos theta if sin theta=3/5 and 90 degrees<theta<180 degrees. A)4/5 B)-4/5 C)square root of 34/5 D)-square root of 34/5 I chose A 2)Simplify:1-csc^2theta/cot^2theta …
  3. math

    There are no typos and no work b/c I don't know how to do them. Thanks. 1)Find cos theta if sin theta=3/5 and 90 degrees<theta<180 degrees. A)4/5 B)-4/5 C)square root of 34/5 D)-square root of 34/5 I chose A 2)Simplify:1-csc^2theta/cot^2theta …
  4. Pre-Calculus-check answers

    If cos theta = 0.8 and 270<theta<360, find the exact value of sin 2theta a) -0.96 b) -0.6 c) 0.96 d) 0.28 Answer: b 2) If csc theta = -5/3, and theta has its terminal side in Quadrant III, find the exact value of tan 2theta a)24/25 …
  5. maths

    if cot theta =7/8 , evaluate (1+sin^2theta)(1-sin^2theta)/(1+cost^2theta)(1+co-^2theta) the answer should be 49/64 but i couldn't get that answer. can any one help?
  6. calculus

    Find the area under one arch of a cycloid described by the parametric equations x=3(2theta -sin2theta) & y=3(1-cos2theta) use 0 and pi for te limiting values of. A.9pi B.18pi C.27pi D.36pi
  7. trig

    given that 1/2pi<theta<pi and sin theta=1/5, use appropriate trigonometric formulas to find the exact values of the following (i) cos(2theta) (ii) cos theta (iii) sin(2theta)
  8. Math

    sin theta = 8/17 and theta is in the second quadrant. Find sin(2theta),cos(2theta),tan(2theta) exactly sin(2theta) cos(2theta) tan(2theta)
  9. Math

    sin theta = 8/17 and theta is in the second quadrant. Find sin(2theta),cos(2theta),tan(2theta) exactly sin(2theta) cos(2theta) tan(2theta) sin(2theta) would it be 2 x (8/17) cos(2theta) would be 2 x (15/17) tan(2theta) would be 2 x …
  10. Trig

    Solve each equation for exact solutions over the interval [0,360)where appropriate. Round approximate solutions to the nearest tenth degree. Sin^2Theta=Cos^2Theta+1 My Work: Using double angle Identity I subtract 1 to other side therefore: …

More Similar Questions