Q: Strontium-90 has a half-life of 28 days.
Strontium-90 has a half-life of 28 days. (a) A sample has a mass of 50 mg initially. Find a formula for the mass remaining after t days. (b) Find the mass remaining after 40 days. (c) How long does it...
See AnswerQ: A cylindrical tank with radius 5 m is being filled with water
A cylindrical tank with radius 5 m is being filled with water at a rate of 3 m3/min. How fast is the height of the water increasing?
See AnswerQ: The radius of a sphere is increasing at a rate of 4
The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing when the diameter is 80 mm?
See AnswerQ: The radius of a spherical ball is increasing at a rate of
The radius of a spherical ball is increasing at a rate of 2 cm/min. At what rate is the surface area of the ball increasing when the radius is 8 cm?
See AnswerQ: The area of a triangle with sides of lengths a and b
The area of a triangle with sides of lengths a and b and contained angle is θ A = 1/2 ab sin θ (a) If a = 2 cm, b = 3 cm, and increases at a rate of 0.2 rad/min, how fast is the area increasing wh...
See AnswerQ: Find dy/dx by implicit differentiation. Sin(xy
Find dy/dx by implicit differentiation. Sin(xy) = cos(x + y)
See AnswerQ: Suppose 4x2 + 9y2 = 36, where x and y are
Suppose 4x2 + 9y2 = 36, where x and y are functions of t. (a) If dy/dt = 1/3, find dx/dt when x = 2 and y = 2 3 5 . (b) If dx/dt = 3, find dy/dt when x = -2 and y = 2 3 5 .
See AnswerQ: If x2 + y2 + z2 = 9, dx/dt
If x2 + y2 + z2 = 9, dx/dt = 5, and dy/dt = 4, find dz/dt when (x, y, z) = (2, 2, 1).
See AnswerQ: A particle is moving along a hyperbola xy = 8. As
A particle is moving along a hyperbola xy = 8. As it reaches the point (4, 2), the y-coordinate is decreasing at a rate of 3 cm/s. How fast is the x-coordinate of the point changing at that instant?
See AnswerQ: (a) What quantities are given in the problem?
(a) What quantities are given in the problem? (b) What is the unknown? (c) Draw a picture of the situation for any time t. (d) Write an equation that relates the quantities. (e) Finish solving the pro...
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