Let C be a smooth curve defined by r(t) = 2i+3tj+2tk, and let T(t) and N(t) 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.
a. z=2
b. y=3
c. 2x+3y+2z=1
d. x=2
d. x=2
Mathematics
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Factor completely using the trial and error method to factor trinomials. If unfactorable, indicate that the polynomial is prime.15z2 - 2z - 8
A. (3z - 2)(5z + 4) B. prime C. (3z + 2)(5z - 4) D. (15z + 2)(z - 4)
Mathematics
For the following triangle, calculate the indicated trigonometric ratio of the given angle. Do not use the trigonometric function keys on your calculator. (Round to the nearest hundredth.)
A. 0.30 B. 0.29 C. 0.28 D. 0.96
Mathematics
Write the mixed number as an improper fraction.17
A. 
B. 
C. 
D. 
Mathematics
Provide an appropriate response.Write the cube root of 64 using radical notation.
What will be an ideal response?
Mathematics