Provide an appropriate response.Can a tangent line to a graph intersect the graph at more than one point? If not, why not. If so, give an example.

What will be an ideal response?


Yes, a tangent line to a graph can intersect the graph at more than one point. For example, the graph  has a horizontal tangent at x = 0. It intersects the graph at both (0, 0) and (2, 0).

Mathematics

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Evaluate the integral.

A. 2 + 
B. 2 - 
C. 2
D. 1

Mathematics

FInd the tangential and normal components of the acceleration.r(t) = (t - 7)i + (ln(sec t) - 7)j + 9k, -?/2 < t < ?/2

A. a = (sec t tan t)T + (sec t)N B. a = (csc t)T + (sec t)N C. a = (sec2 t)T + (cos t)N D. a = (cos t)T + (cos t)N

Mathematics

Use the graph of a known basic function and a vertical stretch or a vertical compression to sketch the function.f(x) = |x|

A.

B.

C.

D.

Mathematics

Perform the indicated operations and write the result in standard form. ? 

A. 36i2 B. -36 C. -36i D. 36

Mathematics