Solve the problem.If a satellite is placed in a circular orbit of 300 kilometers above the Earth, what is the equation of the path of the satellite if the origin is placed at the center of the Earth (the diameter of the Earth is approximately 12,740 kilometers)?
A. x2 + y2 = 170,041,600
B. x2 + y2 = 40,576,900
C. x2 + y2 = 90,000
D. x2 + y2 = 44,488,900
Answer: D
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Find the unit tangent vector T and the principal unit normal vector N. r(t) = (ln(cos t) + 4)i + 7j + (1 + t )k, -?/2 < t < ?/2
A. T = (-sin t)i + (cos t)k; N = (-cos t)i - (sin t)k B. T = (sin t)i - (cos t)k; N = (cos t)i - (sin t)k; C. T = (sin t)i + (cos t)k; N = (cos t)i - (sin t)k D. T = (-sin t)i + (cos t)k; N = (-cos t)i + (sin t)k
A new solution is often made using a stock solution from the shelf and diluting it to the proper strength. The formula V1C1 = V2C2 expresses the relation ship between the stock solution and the new solution. V1 represents the volume of the stock solution, C1 represents the concentration of the stock solution while V2 represents the volume of the new solution and C2 represents the concentration of the new solution. Find the volume of stock solution that is needed to make 50 mL of a 5% solution from a stock solution that has a concentration of 25%.
A. 10 mL B. 25 mL C. 50 mL D. 100 mL
Find the local and absolute extreme values of the function on the given interval.
Use the product rule to simplify the expression. Assume that the variables can be any real number.
A. ±x + 3
B. 
+ 3
C. x + 3
D. 