Find the lateral surface area and volume of the solid object. (Round to the nearest whole number and use the ? key for ?.)
A. L = 2494 m2, V = 15,071 m3
B. L = 2386 m2, V = 15,752 m3
C. L = 4988 m2, V = 60,284 m3
D. L = 2488 m2, V = 15,182 m3
Answer: A
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The position vector of a particle is r(t). Find the requested vector.The velocity at t = 
for r(t) = 5sec2(t)i - 10tan(t)j + 4t2k
A. v
= 20i + 20j - 2?k
B. v
= -20j - 2?k
C. v
= -20j + 2?k
D. v
= 20i - 20j + 2?k
Find the coordinates of the centroid of the given figure.The solid generated by revolving the first-quadrant region under the curve of 
about the y-axis
A. 
B. 
C. 
D. 
Establish the identity.1 + sec2x sin2x = sec2x
What will be an ideal response?
Provide an appropriate response.A candy shop needs x ounces of almonds for candy A and y ounces of almonds to make candy B. The shop has 85 ounces of almonds in stock.a) Write an inequality to describe the situation.b) Graph the inequality.
c) Is (65, 14) a solution of this inequality?
A. x + y ? 85;
No, the point (65, 14) is not a solution.
B. x + y ? 85;
Yes, the point (65, 14) is a solution.
C. x + y ? 85;
No, the point (65, 14) is not a solution.
D. x - y ? 85;
No, the point (65, 14) is not a solution.