Provide an appropriate response.Find the direction in which the function is increasing most rapidly at the point P0.f(x, y) = xy2 - yx2, P0(-1, -1)
A. 
i - 
j
B. 
i + 
j
C. 
i + 
j
D. 
i - 
j
Answer: C
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Solve the problem.A vertical right circular cylindrical tank measures 
high and
diameter. It is full of oil weighing 
. How much work does it take to pump the oil to the level of the top of the tank? Give your answer to the nearest ft ? lb.
A. 1,642,173 ft ? lb B. 27,370 ft ? lb C. 3,284,347 ft ? lb D. 6,568,693 ft ? lb
Find the present value of the given annuity. Round to the nearest cent.Payments of $76 made quarterly for 10 years at 4% compounded quarterly
A. $2495.44 B. $2044.60 C. $2472.70 D. $746.18
Solve the problem.According to relativity theory, an observer who measures the duration of an event, such as the decay of an unstable subatomic particle, will obtain a reading that is affected by any motion of the observer relative to the location of the event. The time, src="https://sciemce.com/media/4/ppg__text0427190932__f1q14g3.jpg" alt="" style="vertical-align: -4.0px;" /> compute 
measured by an observer moving at a speed of v relative to the location of the event will be larger than the time, ?to, measured by an observer who is not in relative motion. This phenomenon is described by the equation 
where c is the speed of light. If 
using the first four nonzero terms of the series expansion for 
A. 1.02058
B. 1.08062
C. 1.04062
D. 1.02062
Write a formula for the general term (the nth term) of the arithmetic sequence. Then use the formula for an to find a20, the 20th term of the sequence.a1 = -6, d = -0.9
A. an = -0.9n - 6; a20 = -24 B. an = -6n + 5.1; a20 = -114.9 C. an = -0.9n - 5.1; a20 = -23.1 D. an = -6n - 0.9; a20 = -120.9