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A balloon rises at a rate of 4 meters per second from a point on the ground 50 meters from an observer. Find the rate of change of the angle of elevation of the balloon from the observer when the balloon is 50 meters above the ground. I know that the answer to this question is 1/25 radians per second but how do you work it out to get this answer?
Determine the distances from A to B and from C to B. Show all work to receive full credit. Round to the nearest hundredths.
The attendance at 3 football games fluctuated above and below the average according to the following table. What was the net change from the average attendance after these three games?
Mr Tan wanted to sell his lamp. If he sell it at a discount of 10%, he will make a profit of $215. If he sell it at a discount of 20%, he will loss $170. How much was his original selling price.
Find the expected value E(X), the varianceVar(X) and the standard deviation σ ( X ) for each of the density functions.
Use cylindrical shells to find the volume V of the solid.
Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Give your answer correct to the nearest whole number.)
Find the slope and the equation of the tangent line to the graph of the function at the given value of x.
A college cafe receives a profit of $1.25 for each cup of house tea that the sell, $1.40 for each cup of the premium brand, and $1.50 for each cup of their special blend that they sell.
The price of a television set on sale is $360. This is two thirds of the regular price. Find the regular price.
A rectangular storage container with a lid is to have a volume of 16 m3. The length of its base is twice the width. Material for the base costs $8 per m2. Material for the sides and lid costs $16 per m2. Find the dimensions of the container which ..
Two rainstorms occurred in one week in a certain area. In the first storm 25ml of rain fell per hour, and in the second storm 20ml of rain fell per hour. Rain fell that week for a total of 75 hours for a total rainfall of 1700ml.
Evaluate the integral by completing the square and using the following formula. (Remember to use ln |u| where appropriate.)
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