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Each side of a square is increasing at a rate of 5 cm/s. At what rate is the are

ID: 2962523 • Letter: E

Question

Each side of a square is increasing at a rate of 5 cm/s. At what rate is the area of the square increasing when the area of the square is 25 cm2? Two cars start moving from the same point. One travels south at 48 mi/h and the other travels west at 20 mi/h. At what rate is the distance between the cars increasing four hours later? A particle moves along the curve below. As it reaches the point (2, 5), the y-coordinate is increasing at a rate of 4 cm/s. How fast is the x-coordinate of the point changing at that instant? Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. Find an equation of the tangent to the curve at the given point. x = 6 + t2 - t, y = t2 + 10, (6, 11) Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. This curve crosses itself at the origin and therefore has two tangents at (0, 0). Find their equations. At what points on the given curve does the tangent line have slope 1?

Explanation / Answer

1)50

2)52

3)10/3

4)3/10

y=x

y=2x-1

y=x/2 + 1/2

7)y=-2x

y=2x

8)(-32,-85)

(500/27,577/9)

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