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Identify the critical points and find the maximum value and minimum value on the given interval g(x)=1/1+x^2 ; I=[-3,1]
Find and prove a formula for the derivative of the hyperbolic secant function,
Application of Calculus-Optimization problem - Show that the shortage length of such a rope occurs when θ 1 = θ 2
The included angle of the two sides of contant equal length s of an isosceles triangle is Z degrees. Show that the area of the triangle is given by A = 1/2s^2 sin Z
A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 46.5ft^3. What dimensions yield the minimum surface area? Round to the nearest tenth, if necessary.
WHat dosage maximizes the temperature change? The sensitivity of the body to the drug is defined as dT/dD. What dosage maximizes sensitivity?
Felipe drove miles using gallons of gas. At this rate, how many gallons of gas would he need to drive miles?
The time taken by a randomly selected applicant for a morgage to fill out a certain form has a normal distribution with mean value of 10 minutes and standard deviation of 60 minutes
A manufacturing company produces and sells 20,000 units of a single product. Total products cost are $14 per unit.
Lena Dimock is saving for her college expenses. She sets aside $200 at the beginning of each three months in an account paying 8% annual interest, compounded quarterly. How much will Lena have accumulated in the account at the end of four years?
Describe a real world situation that could be modeled by a function that is increasing, then constant, then decreasing. What would be the difficulties associated with modeling this situation?
A company claims that its battery has a mean life of 65 months. A consumer protection agency tested 15 batteries and found the mean 63 months with a standard deviation of 2 months. The life such a battery has approximately normal distribution. Ass..
where cosh(x)=(e^x+e^-x)/2 is the hyperbolic cosine, which is an important function in physics and engineering.
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