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A rectangle that is 2x feet wide is inscribed in an ellipse of equation 9x^2+16y^2=144. Express the area of the rectangle as a function of x.
A random sample of 16 students showed aht the variance in the number of hours they spend studying for a final exam was 25 hours^2.
Discuss the concept of the derivative of a function.
Hypothesis test for two differences between means
Application of calculus
The natural length of a spring is 10 cm. A force of 25 N stretches it to a length of 20cm. How much work, in units of N-cm, is done in stretching it from a length of 10cm to a length of 15cm?
Juan's first-grade class received 91 half-pint cartons of milk to distribute evenly to his 26 students. How many cartons were left over?
The expected gains & losses under each economic type of conditions are shown in the following table.
Find the number of units x that produce a maximum revinue R. Find the number of unites x that produce the minimum average cost per unit C.
Find the nodes x_i and the weights w_i so that the Gaussian quadrature of the sum from i=1 to 2 of (w_i) f(x_i) approximating the integral from -1 to 1 of f(x)dx is exact when f(x) is a polynomial of as high degree as possible.
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
The prong of a tuning fork moves back and forth when it is set into vibration. The distance the prong moves between its extreme positions is 2.22 mm.
The radius of a circular disk is given as 26 cm with a maximum error in measurement of .2 cm. Use differentials to estimate the maximum possible error in the calculated area of the disk.
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