An amusement park designs a roller-coaster ride based on the function f(t)=at^2-bt+20, where t is the time of the ride in seconds. The designer wants to achieve the speed f'(1)=10 mph, and f'(15)=80...

An amusement park designs a roller-coaster ride based on the function f(t)=at^2-bt+20, where t is the time of the ride in seconds. The designer wants to achieve the speed f'(1)=10 mph, and f'(15)=80...

convert the following parametric equations into a rectangular equation x=-2sinT y=2cosT

Evaluate the following integral using any Vector Calculus method The integral with bounds C; [(4+eyz)i+(xzeyz+2yz)j+(6z2+xyeyz+y2)k] dot dr, where C is the part of...

1. Describe the components of the vector v(t)=<t2,5t> and the meaning of this vector. 2. Convert the following parametric equation into a rectangular equation: {x(t)=5cost}...

How to eliminate the parameter given the following equations: x=(cos(x))^2 y=(cos(x))^4 + 2 I would understand if it was just plain old sine and cosine that you could square...

Find a rectangulat equation for this parametric equation x=1/t y=3

(Enter your answer as a comma-separated list of equations. Let x and y be in terms of t.) 1)once around clockwise, starting at (4,3) 0≤t≤2pi 2)three times around counter clockwise,...

(problem continued)..."and P2(x2,y2). Draw the triangle with vertices A(1, 1), B(4, 3), C(1, 7). Find the parametrization, including endpoints, and sketch to check. (Enter your answers as a comma-separated...

The equations x + 3 x^{3/2} = t^2 + t and y\sqrt{t+1}+2t\sqrt{y} = 2 define x and y implicitly as differentiable functions x=f(t) and y=g(t). Find the slope of the curve x=f(t), y=g(t)...

Please help me! I have no glue on how to answer this question, and my teacher did not explain it very well

1) x=3-2t y=2+3t 2) x=sqrt(t) y=1-t 3) x=4+2cos(theta) y=1+2sin(theta) 4)...

Eliminate the parameter x=4+2 cos∅ y=1+2 sin∅ I think i can solve it like this but i am not sure x=4+2cos∅ x-2=4cos∅ x-2/4=cos∅

Write the rectangular form for the parametric equation x=cosθ ; y=4sinθ

I understand parametric equations for the most part, but i always have trouble with finding their intersection points. I would be glad for a second opinion. Thanks so much!

What are the steps?

A baseball is pitched horizontally at 95 mph, or about 140 feet per second. How long does it take for the ball to reach the batter at home plate, which is about 60 feet from the mound? Parametric...

I have the answers {x=2t, y=(1/8t^3) } and {x=t, y=(1/t^3)} If I have the wrong answers could you explain how to get the right ones? I have to answer this in class tomorrow and I'm insanely paranoid...

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