Michael S.

find the two missing terms between 128 and -2

Let f(x) = cx + ln(cos(x)). For what value of c is f '(π/4) = 5?c=______

The area of a circle increases at a rate of 6 cm^2/sa. How fast is the radius changing when the radius is 3 ​cm?b. How fast is the radius changing when the circumference is 4 cm?

â–³ RST has coordinates R(­-4, -3), S(0, 5), and T(7, -3).a. Graph â–³ RST in a coordinate plane.b. Find the perimeter of â–³ RST.c. Find the area of â–³ RST.d. The centroid of a triangle is the... more

A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 5 ft/s along a straight path. How fast is the tip of his shadow moving when he... more

Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. (Enter your answers as a... more

In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression,x = 5.00cos(4t+(pi/6))where x is in centimeters and t is in seconds At t = 0,... more

A light, rigid rod of length ℓ = 1.00 m joins two particles, with masses m1 = 4.00 kg and m2 = 3.00 kg, at its ends. The combination rotates in the xy-plane about a pivot through the center of the... more

The given curve is rotated about the y-axis. Find the area of the resulting surface.y=1/4 x2 - 1/2 ln(x), 2lessthan/equal xlessthan/equal 3please show detailed work, thank you!