Q: if it is possible to solve for y in terms of x
if it is possible to solve for y in terms of x, do so. If not, write “Impossible.” 2 ln y + y ln x = 3x
See AnswerQ: if it is possible to solve for y in terms of x
if it is possible to solve for y in terms of x, do so. If not, write “Impossible.” y2 + ex y + x3 = 0
See AnswerQ: Assume that x = x(t) and y = y
Assume that x = x(t) and y = y(t). Find the indicated rate, given the other information. x2 + y2 = 4; dy/dt = 5 when x = 1.2 and y = -1.6; find dx/dt
See AnswerQ: Assume that x = x(t) and y = y
Assume that x = x(t) and y = y(t). Find the indicated rate, given the other information. x2 - 2xy - y2 = 7; dy/dt = -1 when x = 2 and y = -1; find dx/dt
See AnswerQ: A point is moving on the graph of 4x2 + 9y2 =
A point is moving on the graph of 4x2 + 9y2 = 36. When the point is at (3, 0), its y coordinate is decreasing by 2 units per second. How fast is its x coordinate changing at that moment?
See AnswerQ: Refer to Problem 17. Suppose that the distance between the boat
Refer to Problem 17. Suppose that the distance between the boat and the dock is decreasing by 3.05 feet per second. How fast is the rope being pulled in when the boat is 10 feet from the dock? Data f...
See AnswerQ: Refer to Problem 19. How fast is the circumference of a
Refer to Problem 19. How fast is the circumference of a circular ripple changing when the radius is 10 feet? Data from Problem 19: A rock thrown into a still pond causes a circular ripple. If the rad...
See AnswerQ: Refer to Problem 21. How fast is the surface area of
Refer to Problem 21. How fast is the surface area of the sphere increasing when the radius is 10 centimeters? Data from Problem 21: The radius of a spherical balloon is increasing at the rate of 3 ce...
See AnswerQ: Boyle’s law for enclosed gases states that if the temperature is kept
Boyle’s law for enclosed gases states that if the temperature is kept constant, the pressure P and volume V of a gas are related by the equation VP = k where k is a constant. If the volume is decreas...
See AnswerQ: A weather balloon is rising vertically at the rate of 5 meters
A weather balloon is rising vertically at the rate of 5 meters per second. An observer is standing on the ground 300 meters from where the balloon was released. At what rate is the distance between th...
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