1. Factor the expression
2. Since is placed in the denominator of the given expression, then
3. Now the expression can be simplified:
Find each x-value at which the tangent line to f\left(x\right)=x^3-6x^2-34x+40 f ( x ) = x 3 − 6 x 2 − 34 x + 40 has slope 2.
1 answer:
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A. It's a composite function, so basically, wherever you see a p, replace it with 5t, because we are given that information. So, your answer is:
![A[p(t)] = 5t \pi 2=10t \pi](https://tex.z-dn.net/?f=A%5Bp%28t%29%5D%20%3D%205t%20%5Cpi%202%3D10t%20%5Cpi%20)
B. Let's use the function we created, and just plug in 2 for t:
![A[p(2)] = 10(2) \pi](https://tex.z-dn.net/?f=A%5Bp%282%29%5D%20%20%3D%2010%282%29%20%5Cpi%20)
![A[p(2)] = 62.83](https://tex.z-dn.net/?f=A%5Bp%282%29%5D%20%3D%2062.83)
So, your answer is (approximately) 62.83 units².
B. Let's use the function we created, and just plug in 2 for t:
So, your answer is (approximately) 62.83 units².