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Two forces of 20N and 10N are pulling an object 0 degrees and -30 degrees with respect of x-axis. Draw the resultant vector and use trigonometry to find the magnitude and direction of the resultant force with respect to the x-axis.
A circular swimming pool has a diameter of 20 m, the sides are 4 m high, and the depth of the water is 3.5 m. How much work (in Joules) is required to pump all of the water over the side?
Let V be a finite-dimensional real (i.e. F = R) vector space. Let T be an element of L(V)(set of operators on V), and assume that T^2 = 0.
Find the 95% confidence internal for the standard deviation
What is the variance of the binomial distribution of voters supporting a particular referendum? In a survey, 80% of the voters support a particular referendum. If 20 voters are chosen at random
Prove that if f(x) is even on [-a, a] and integrable on [0, a] where a>0, then f(x) is integrable on [-a, a] and Int([-a, a], f(x)dx) = 2*Int([0, a], f(x)dx).
The consumer price index for a new car in 1990 was 110.2, and in 1995 it was 136.5. If the price of the car was $12,880 in 1990, what was the price in 1995?
Problem on correlation coefficient
The tank has height 7 m and the diameter at the top is 6 m. If the water level is rising at a rate of 18 cm/min when the height of the water is 2.5 m, find the rate at which water is being pumped into the tank.
Gwen bought a new toyota corolla.The selling price plus the 8% state sales tax was $15,714 what was the selling price?
A sphere of fixed radius R is enclosed in a cone of height h and radius r. Express the volume V of the cone as a function of the slant angle of the cone.
The differential equation below models the temperature of a 86°C cup of coffee in a 16°C room, where it is known that the coffee cools at a rate of 1°C per minute when its temperature is 70°C. Solve the differential equation to find an expression ..
a piece of cardboard is twice as it is wide. It is to be made into a box with an open top by cutting 2-in squares from each corner and folding up the sides. Let x represent the width (in inches) of the original piece of cardboard.
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