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1) Find the derivation of ex ln(x2) + 4-x.
2) Find the slop of the curve 2(x+y)2/3 = y at the point (4, 4).
3) Find the second derivative y'' of x2 + y2 = 10.
4) Compute the limit-
limh→0((3+h)3+h - 27/h)
5) Use logarithmic differentiation to find the derivative
(x+1)3/2(x-4)5/2tan10(x)/(5x+3)2/3
Develop and run a Crystal Ball model to forecast the NPV and cumulative net profit for each year. Summarize your results in a short memo to the R&D director.
At Shaw's Market apples cost $10 per case and bananas cost $6 per case. If an order comes in for a total of 300 cases for $2,000, what was the specific number of cases of apples? (Hint, Let A = cases of apples)
A computer-parts company wants to make a rectangular memory board that has a perimeter of 28 cm. What dimensions will allow the board to have a maximum area?
Determine the linear regression line relating Y to X and compute the F statistic and its associated P-value and the 95% confidence intervals for the slope and intercept.
pressure P and volume V are related by the equation PV^1.4 = C, where C is a constant. Suppose that at a certain instant the volume is 900 cm3 and the pressure is 80 kPa and is decreasing at a rate of 10 kPa/min
An efficiency study of the morning shift at a certain factory indicates than an average worker who arrives on the job at 8:00a.m. would have assembled f(x) = - x3 + 6x2 + 15x units x hours later.
a hotel wants to investigate a pattern for the number of guests arriving per hour on weekends. What distribution is used to find probability?
how do you know if a quadratic equation will have one two or no solutions? how do you find a quadratic equation if you
Use the formula for simple interest, I = prt. Find p if I = $184.28, r = 4.1%, and t = 2 yr.
Find the volume V of water in the bowl. (Consider two cases: one in which the ball is not completely submerged and the other in which it is.)
question a supermarket sells 2 cans of ground coffee for 18.50. the cost of coffee varies directly with the number of
Show that 12!+ 1 is divisible by 13, by grouping together pairs of inverses modulo 13 thatoccur in 12! and hat is the remainder when 5!25! is divided by 31?
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