Volume The radius of a right circular cylinder is given by √t + 2 and its height is 12√t,where t is lime in seconds and the dimensions are in inches. Find the rate of change of the volume with respect to time.

Q: After an injection of Drug Y, the concentration of the drug in the bloodstream drops at the…

A:

Q: A tank contains 50 kg of salt and 2000 L of water. A solution of a concentration 0.0125 kg of salt…

A: Given Initially tank contain 50 kg  salt And 2000 litre of water

Q: A company's profit P (in dollars) from selling x units of product can be modeled by  P…

A: To work out the rate of change of the required variable with respect to time, using the given data

Q: The sides of an equilateral triangle are increasing at the rate of 3 cm/min. Find: a) the rate of…

A:

Q: The length { of a rectangle is decreasing at a rate of 3 cm/sec while the width w is increasing at a…

A:

Q: Volume The volume of a cube with sides of length s isgiven by V = s3. Find the rate of change of the…

A: The volume of a cube can be calculated by multiplying its length , width , and height . We have the…

Q: Sand is falling off a conveyor onto a conical pile at the rate of 15 cm/min. The base of the cone is…

A:

Q: 89. Area The length of a rectangle is given by $6 t+5$ and its height is $\sqrt{t},$ where $t$ is…

A: Here we have;  Length of rectangle l=(6t+5) height of rectangle h=t

Q: The radius r of a sphere is increasing at a rate of 2 inches per minute. (a) Find the rate of change…

A:

Q: 15 Grade A water tank in the form of an inverted cone is being emptied at the rate of 2 cubic feet…

A: From the given problem the representative diagram is shown below:   Let x is the radius and y is the…

Q: 11. Area The radius $r$ of a circle is increasing at a rate of 4 centimeters per minute. Find the…

A: The radius r of a circle is increasing at a rate of 4 centimeters per minute. Find the rate of…

Q: Volume The radius r of a sphere is increasing at a rate of 3 inches per minute. (a) Find the rates…

A: We have drdt=3 (a) V=43πr3⇒dVdt=43π3r2drdt=43π3r23=12r2

Q: Boyle's law says that the product of a gas's pressure, P (atm), and volume, V (m'), is constant.…

A:

Q: flying horizontally at an altitude of 1 mile and a speed of 480 mi/h passes directly over a radar…

A: Topic:- application of derivatives

Q: Water flows from a storage tank at a rate of 300 - 7t liters per minute. Find the amount of water…

A:

Q: The radius r of a sphere is increasing at a rate of 5 inches per minute. (a) Find the rate of change…

A: The radius r of a sphere is increasing at a rate of 5 inches per minute. Find the rate of change of…

Q: A mathematical biologist is created a model to administer medicine reaction (measured in change of…

A: Given Medicine reaction model R=m2c2-m3 where c is a positive constant and m is the amount of…

Q: A metal plate is heated so that its temperature at a point (x, y) is T(x, y) = x²e-2x*+3y). A bug is…

A: Solution

Q: A cube has an edge of 2 feet. The edge is increasing at the rate of 3 feet per minute. Express the…

A:

Q: The radius r of a sphere is increasing at a rate of 2 inches per minute. (a) Find the rate of change…

A:

Q: The radius r of a sphere is increasing at a rate of 2 inches per minute. (a) Find the rate of change…

A:

Q: circle is inside a square. The radius of the circle is decreasing at a rate of 3 meters per hour…

A: Here we have to use the concept of derivatives

Q: F(X)=x2-8x+9

A:

Q: The initial bacterium count in a culture is 2300. A biologist later makes a sample count of bacteria…

A:

Q: Construction A winch at the top of a 12-meter building pulls a pipe of the same lengthto a vertical…

A:

Q: Snowballs formed by kids in winter season is found to melt in such a way that the rate of change in…

A:

Q: The radius r of a sphere is increasing at a rate of 8 centimeters per minute. (a) Find the rate of…

A:

Q: A bacteria culture initially contains 100 cells and grows at arate proportional to its size. After…

A: Definition used-          Exponential growth function -                             y(t)=y0ekt…

Q: A tank contains 60 kg of salt and  1000 L of water. A solution of a concentration 0.03 kg of salt…

A: Question is solved.

Q: 2567 cm³. The volume of a sphere is increasing at a rate of 5 cm /sec. Find the rate of change of…

A:

Q: SHOW COMPLETE PROCESS AND SOLUTION The area of an equilateral triangle is decreasing at a rate of 4…

A:

Q: When you use a spray can and press the valve at the top, you decrease the pressure of the gas in the…

A: according to given data P1V1=P2V2                                                 ..1 so, by using…

Q: area of a square is increasing at a rate of 1 sq cm/s. How fas diagonal increasing when the area of…

A:

Q: The radius r of a sphere is increasing at a rate of 7 inches per minute. (a) Find the rate of change…

A: Given         radius of a sphere is increasing at a rate of 7 inches         per minutes.to…

Q: Shrinking cube The volume of a cube decreases at a rate of 0.5 ft3>min. What is the rate of…

A: Let volume of cube is V. Side length of the cube is x. Volume of the cube is V=x3 We observed that…

Q: Sand is falling off a conveyor and into a conical pile. The Volume V of the pile is given by…

A:

Q: The radius r of a sphere is increasing at a rate of 4 inches per minute. (a) Find the rate of change…

A: The expression to calculate the volume of a sphere is, Here, 'r' is the radius of the sphere.  The…

Q: Formula: ceNkt N – x 5) 10 mice in a population of 80 are infected with a disease to test a theory…

A: We have to solve the given problem using given formula.

Q: Area. Suppose the area of a circle is decreasing at a rate of3m2/sec, the rate of change of the…

A:

Q: The radius of a sphere is increasing at a rate of 2 inches per minute. Find the rate of change of…

A:

Q: Mr. Maranan is filling an ice cream cone. The cone is 12 cm tall and has a radius of 4 cm. If the…

A:

Q: The rate the root beer depth is dropping is ______cm/sec.

A: Radius of the cup, R = 10/2 = 5 cm Depth of the cup, h = 12 cm Rate of leaving, dV/dt = 6 cm3/sec…

Q: A giant spherical snowball is placed in the sun. The sun melts the snowball so that its surfface…

A:

Q: The radius r of a sphere is increasing at a rate of 9 inches per minute. (a) Find the rate of change…

A:

Q: The radius of a sphere is increasing at a rate of 4 inches per minute. Find the rate of change of…

A:

Q: of change at which the reciprocal of a number changes as the number x increases. Find the rate of…

A: Let the number be x. The reciprocal of the number be 1x. If the number x increases by 2 units, The…

Q: The radius r of a sphere is increasing at a rate of 9 inches per minute. (a) Find the rate of change…

A: The radius of a sphere is increasing at a rate of 9 inches per minute. Volume of sphere is…

Q: F(x)=xsquared +8x, find the rate of change of f(x) on the interval [3,3+h].

A:

Q: A tank contains 100 kg of salt and 1000 L of water. Pure water enters a tank at the rate 12 L/min.…

A: First we draw the diagram then solve this problem.

Q: The height of an object off the ground, h (in feet) t seconds after it is launched into the air is…

A: