For the curve r(t), find an equation for the indicated plane at the given value of t.r(t) = (t - 6)i + (ln(sec t) - 3)j + 9k, -?/2 < t < ?/2; normal plane at t = 2?.
A. x = 2? + 6
B. x = -2? - 6
C. x = 2? - 6
D. x = 6 - 2?
Answer: C
Mathematics
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Find the average value of the function over the given interval.f(x) = 9 - x on [0, 9]
A. 
B. 
C. 
D. 9
Mathematics
Solve the problem.
A building has an entry the shape of a parabolic arch 50 ft high and 40 ft wide at the base. Find an equation for the parabola if the vertex is put at the origin of the coordinate system.
A. y2 = -32x B. x2 = -32y C. x2 = -8y D. y2 = -8x
Mathematics
Find the center and radius of the circle and sketch its graph.(x - 3)2 + (y + 5)2 = 4
A. (h, k) = (3, 5), r = 2
B. (h, k) = (-3, -5), r = 2
C. (h, k) = (3, -5), r = 2
D. (h, k) = (-3, 5), r = 2
Mathematics
Show that the following statement is true by transforming the left side into the right side.
?
What will be an ideal response?
Mathematics