Find all the first order partial derivatives for the following function.f(x, y) = ln 
A. =
;
=
B. = -ln
;
= ln
C. = -ln
;
= ln
D. = -
;
=
Answer: D
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Simplify. Write your answers in the form of a+bi, where a and b are real numbers.(7 + 2i)2
A. 53 + 28i B. 45 - 28i C. 53 - 28i D. 45 + 28i
A hypothesis test is to be performed. State the null and alternative hypotheses.The governor of a state claims that since his tax cuts have taken effect, the unemployment rate has dropped. The unemployment rate in the state had been 6.3% prior to the tax cuts.
A. Null hypothesis: unemployment rate < 6.3% Alternative hypothesis: unemployment rate = 6.3% B. Null hypothesis: unemployment rate > 6.3% Alternative hypothesis: unemployment rate < 6.3% C. Null hypothesis: unemployment rate = 6.3% Alternative hypothesis: unemployment rate ? 6.3% D. Null hypothesis: unemployment rate = 6.3% Alternative hypothesis: unemployment rate < 6.3%
Provide an appropriate response.An oil tanker is losing oil at a rate of R'(t) = where t is the time in minutes and R(t) is the radius of the oil slick in feet. Use n = 6 and Simpson's rule to approximate
the size of the radius after 5 seconds.
Fill in the blank(s) with the appropriate word(s).
Find an equation in slope-intercept form of the line that passes through the given point and has slope m.(-5, -1); m = 0
A. y = - 5x + 0
B. y = -1
C. y = - x + 0
D. x = -5