1. The altitude of a triangle is increasing at a rate of 1cm/min1cm/min while the area of the triangle is increasing at a rate of 4cm2/min.4cm2/min.

At what rate is the base of the triangle changing when the altitude is 10 cm and the area is 90cm2?90cm2?

?cm/min

2. Use implicit differentiation to find an equation of the tangent line to the curve 3xy^3+5xy=32 at the point (4,1). The equation defines the tangent line to the curve at the point (4,1).

3. The radius of a circular oil slick expands at a rate of 4 m/min.

(a) How fast is the area of the oil slick increasing when the radius is 21 m?

=

dt= 2//min?

(b) If the radius is 0 at time =0t=0, how fast is the area increasing after 5 mins?

dt= 2/?

Please answer all ASAP very confused I very much appreciate it.