Let C be a smooth curve defined by r(t) = 7i+tj+4tk, and let T(t) and N(t0 be the unit tangent vector and unit normal vector to C corresponding to t. The plane determined by T and N is called the osculating plane. Find an equation of the osculating plane of the curve described by r(t) at t =1.
What will be an ideal response?
x = 7
Mathematics
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The figure shows the velocity v or position s of a body moving along a coordinate line as a function of time t . Use the figure to answer the question. s (m)
When is the body standing still?
A. 2 < t < 3, 4 < t < 5, 7 < t < 9 B. t = 3, t = 5, t = 8 C. 1 < t < 2 D. 8 < t ? 10
Mathematics
Provide an appropriate response.Rewrite in exponential form: log5 625 = 4
What will be an ideal response?
Mathematics
Use the information given about the angle ?, to find the exact value of the indicated trigonometric function.cos ? = 
, tan ?> 0 Find sin 2?.
A. - 
B. 
C. 
D. 
Mathematics
Evaluate the double integral.
A. 
B. 2
C. 
D. 4
Mathematics