Calvin

Suppose vector r(t)=cos(pit)i +sin(pit)j + 2tk. I got parts a and b correct but i need help on part c.

Part a asked for t when the particle was at height 8. I got t=4 Part b asked for the velocity of the particle when it is at height 8. I got 0i +(pi)j+8k.

Part c) When the particle has height 8, it leaves the helix and moves along the tangent line at the constant velocity found in part (b). Find a vector parametric equation for the position of the particle (in terms of the original parameter ) as it moves along this tangent line.

My attempt: I found r(4) and used the equation r = r(nought) + tv. I substituted r(4) for r(nought) and the answer I got in part b for v but it came out to be wrong. Please help me out!

Use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine.

(sinx)^6

That is why I wish to become a part of the UPenn experience in all of its entirety.

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Solve and sketch on a number line:

absolute value of(2x+1) is greater than or equal to 1.

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Serious answers please.

Rewrite the relation as a conic in standard form:

x = sqrt(4y - y^2)

If you could show your work I'd appreciate it :)

When someone gets a cold, does his immune system weaken?

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Deadlift: 275

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