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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?
At what points of the curve x = a(t - sint), y = a(1 -cost), z = 4acos(t/2) does the radius of curvature take its local maximum?
How many ways can we order a deck of 52 cards so that all the heats are together, all the clubs are together, all the diamonds are together and all the spades are together?
Jay and Martin leave the UMUC campus simultaneously and set off in opposite directions. Jay's average rate is 25 mph faster than Martin's. After four hours of steady driving, the two are 460 miles apart. Find the average rate of each algebra stude..
A boat tied up at a dock bobs up and down with passing waves. the vertical distance between its high point and its low point is 1.8m and the cycle is repeated every 4 s. what is the sinusoidal equation?
a dealer offers a computer software program whose list price is 500 at a 19% discount. she will give an extra 3% discount if paid in cash. what is the selling price if payment is made in cash?
Here, q is the fraction of children with annual household income x thousand dollars who will attend a live dramatic performance at a theater during the year. Compute the income elasticity of demand E at an income level of $20,000. (Round your answ..
If her company manufactures 7 types of pain relievers, 3 types of antidepressants, 6 types of allergy medicine, and 2 types of cholesterol medicine, how many different sales portfolios are poosible?
Digital information can be represented through the use of Boolean algebra, which is an important concept to study if one wishes to understand how computers work.
Characterize completely the random variable that is Bin(49, 0.3).
Marcy has a total of 100 dimes and quarters. if the total value of the coins is $14.05
Coffee is draining - Application of calculus
A liquid flows with a velocity of 3.28 feet per second through a pipe of cross-section area 250 cm2 and is collected in a tank. The density of the liquid is 1200 kg/m3. Calculate the mass in kilograms of the liquid collected in the tank in one min..
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