1) (a) Convert the following equations from parametric to rectangular. State the domain and range of the result and show adequate work to support your conclusion. 1 x = 3 sin(t), y = ;cos²(t),t e [0,2t] x = 2t – 4, y = 4t² 2

A golf ball is hit with an initial velocity of 135 feet per second (about 92 miles per hour) at an angle of 60 degrees to the horizontal. There is a 5 foot-per-second headwind that reduced the horizontal velocity by that amount. The vertical component of velocity is unaffected. Find parametric equations for the position of the ball relative to the tee as a function of time after it is hit. I= 135 cos 60π 180 5 =(1 y=-16t² + 135 sin 60π 180 After how many seconds does the ball hit the ground? t seconds How far does the ball travel before hitting the ground? feet

I need the answer for the last 2 boxes in this question.

Use the parametric equations x= sec(t) , y=tan(t), for -pi/2 < t < pi/2. Sketch the curve represented by the parametric equations (include the orientation of the curve) and write the corresponding rectangular equation by eliminating the parameter and Find the equation of the tangent line to the curve at t = pi/4

1. please solve it on paper

Please answer the following questions.

A wheel with radius 2 cm is being pushed up a ramp at a rate of 7 cm per second. The ramp is 790 cm long, and 250 cm tall at the end. A point P is marked on the circle as shown (picture is not to scale). P 790 cm 250 cm Write parametric equations for the position of the point P as a function of t, time in seconds after the ball starts rolling up the ramp. Both x and y are measured in centimeters. I = y = You will have a radical expression for part of the horizontal component. It's best to use the exact radical expression even though the answer that WAMAP shows will have a decimal approximation.