The curve x = 5 - 10cos²t, y = tant(1 - 2cos²t) cross itself at some point Find the equations of both tangent lines at that point.

What will be an ideal response?


Mathematics

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Solve the problem.Consider a retirement savings account where the monthly contribution is $175 for the first 20 years, is increased to $225 for the next 5 years, and then is increased once again to $375 for the last 15 years. The APR is always 4.8% compounded monthly. What is the value of the account at the end of 40 years? Round your answer to the nearest cent.

A. $310,143.23 B. $314,907.23 C. $313,040.67 D. $312,009.78 E. $315,938.12

Mathematics

Solve.In a certain location, the highest temperature recorded was 99°F. The lowest temperature recorded there was 130 degrees lower than the highest. What was the lowest temperature recorded there?

A. 0°F B. 31°F C. -31°F D. -138°F

Mathematics

Find the midpoint of the line segment that connects the two points.(1, -5), (3, 9)

A.  
B.
C.
D.

Mathematics

Solve the problem.Johnny's rental company charges  per day for a small truck plus  per mile. Annie's rental company charges  per day for the same size truck plus  per mile. For what number of miles driven (in one day) will Annie's company be cheaper?

A. less than 350 miles B. more than 700 miles C. more than 800 miles D. less than 700 miles

Mathematics