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please help! this is all the information I have (2) A plane is ying parallel to the ground at an altitude of 1 mile. The
please help! this is all the information I have
(2) A plane is ying parallel to the ground at an altitude of 1 mile. The plane is traveling at a constant speed of 500 miles per hour. At exactly 1:00pm, the plane passes over a radar station on the ground. Find the rate at which the distance from the plane to the radar station is changing 6 minutes later (at exactly 1:06pm). Since this problem is challenging, we'll break it into several steps for you. (These steps are also recom- mended though not required unless asked for when you're solving other related rates problems.) (a) Draw a snapshot showing exactly what is happening at 1:06pm. (You can treat the plane and the radar stations as points.) Label any distances you know. (b) Draw another picture the generic picture showing the situation at an arbitrary time t. On this picture, give variable names to quantities that are changing over time, and label any values that are constant. (c) State the goal of the problem in terms of variables labeled in 2b. (If your goal involves a variable not labeled in 2b, go back and label it!) (d) Write down any rates that you know in terms of variables labeled in 2b. (Again, if you need a variable that isn't yet labeled in 2b, go back and label it!) (e) Write down an equation relating the relevant variables.1 (1) The Cissaid of Diodes is a curve which was introduced by the Greek mathematician Diocles around the year 180 BC. It is made up of points (2:,y) that satisfy the equation 5:3 + my2 = 2:92. A plot of the curve is shown below. (a) Find 3: (in terms of a: and y). (b) Find an equation for the tangent line to this curve at the point (1, 1). (3) Bert and Ernie are roommates. They both leave their apartment at exactly 7:00pm. Bert heads north at a constant speed of 80 miles per hour. Ernie heads west at a constant speed of 60 miles per hour. (a) At 7:30pm, is the distance between Bert and Ernie increasing or decreasing? (You don't need to do any calculations for this part, just think about the situation.) (b) At 7:30pm, at what rate is the distance between Bert and Ernie increasingStep by Step Solution
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