Question: Consider a rectangular bathtub whose base is18ft2.(a) How fast is the water level rising if water is fill in the tub at a rate of0.7ft3min?(b)At

Consider a rectangular bathtub whose base is18ft2.(a) How fast is the water level rising if water is fill in the tub at a rate of0.7ft3min?(b)At what rate is water pouring into the tub if the water level rises at a rate of0.8ftmin?(a) Use implicit differentiation to find the derivative dydxof the functionx2-4xy+y2+16=0.(b)Use your answer to part (a)to find an equation of the tangent line to the curvex2-4xy+y2+16=0at the point (2,4).

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Consider a rectangular bathtub whose base is 18 ft 2 . How fast is the water level rising if water is filling the tub at a rate of 0.7 ft 3 /min?

Consider a rectangular bathtub whose base is 18 ft 2 . At what rate is water pouring into the tub if the water level rises at a rate of 0.8 ft/min?

1, A trough is 12 feet long and 3 feet across the top (see gure). Its ends are isosceles triangles with altitudes of 3 feet. (a) If water is being pumped into the trough at 2 cubic feet per minute,...

1)A small balloon is released at a point 150 feet away from an observer, who is on level ground. If the balloon goes straight up at a rate of 4 feet per second, how fast is the distance from the...

Let AH} he the area of a circle 1with radius t], at time t in min. Suppose the radius is changing d1" at the rate of E = i3 tttmin. Find the rate of change at the area at the moment in time when r =...

Let AH} he the area of a circle 1with radius t], at time t in min. Suppose the radius is changing Jr at the rate of E = 3 tttrhin. Find the rate of change at the area at the moment in time when r =...

Alter lled with liquid is in the shape of a 1trertex-down cone with a height of 12 inches and a diameter of 8 inches at its open (upper) end. If the liquid drips out the bottom of the filter at the...

6. [-/1 Points] DETAILS LARCALC11 2.6.017.MI. At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 12 cubic feet per minute. The diameter of the base of the...

AP Style Problem - 13 A ladder 20 feet long is leaning AP Style Problem - 15 A space shuttle is rising vertically at a rate of 2 miles per second. A man against the wall of a house (see figure). The...

$$explain clearly... 2.4 Tangent Lines and Implicit Differentiation 1. At what point on the curve y = sinh r does the tangent line have a slope of 1? 2. Find the point(s) on the graph y = a where the...

How many years you need to get $2500 if your initial investment is $2000 and interest rate of 4%?

For this week's Discussion, you will share your your response to the following prompt with your Discussion Group. This is a group discussion, so be sure to reply to at least one other student....

Estimation uncertainty is defined as ( Single choice ) the susceptiflity of an accounting eatimate and rested on fosures to be accurate the uncertainty surrounding the ultimate cost of the audit the...

Wangshu puts $40000 in a savings account paying interest rate (2) = 8%. He withdraws the money after 34 months. How much money is in his account using a) the "Greedy Bank" method b) the "Practical"...