4. What is the rate of change described by the points in the table? change in y/change in x) * -1/3 O 1/3 Оз О 15

Q: 5. Calculate the rate of change by analyzing the differences in the y-values and the differences in…

A: Rate of change can be found using following formula :

Q: 7. A triangle with a base of 20 inches has a height that is decreasing at a rate of 3 inches per…

A:

Q: A.) A perfectly spherical balloon is losing volume at a rate of 3 in3 per sec. How fast is the…

A: A perfectly spherical balloon is losing volume at a rate of 3 in3 per second. That is, dVdt=-3 Now…

Q: What is the set of points for which the rate of change of z is

A: Given equation - z = x2+y2           ............(1)dtRate at which x is increasing = dxdt = 2…

Q: Find the rate of change of 1/x with respect to x when x=2

A: f(x)=1xrate of change of 1/x with respect to x isdf(x)dxdf(x)dx=-1x2

Q: 3. A balloon, in the shape of a right circular cylinder, is being inflated in such a way that the…

A:

Q: 2. Informally explain that a function is considered differentiable, if small changes dx, to the…

A:

Q: Suppose that a company can produce 12,000 units when the number of hours of skilled labor y and…

A:

Q: 6. Suppose the radius of hemispherical container is 10 cm. It contains water and it is placed under…

A: Given query is to find the rate of change of area.

Q: 16.Suppose that the dimensions of a cylinder change at constant rates: the radius of the base is…

A: Use the derivative and substitute the given values.

Q: Suppose a snowball remains spherical while it melts, with the radius r shrinking at 4 inch(es) per…

A: Let r be the radius of the snowball at any time t. The radius r is decreasing at the rate of 4 in/hr…

Q: 13. A plane flying horizontally at an altitude of 1 mi and a speed of 500 mi/h passes directly over…

A:

Q: Suppose an object moves along the y axis so that its location is y = f(x) = x² +x at time x (y is in…

A: The position of the object at time x is y=f(x)=x2+x (A) The average velocity for x changing from 5…

Q: 2. A fighter plane 2,000 km away is spotted by a gunner in the ground. If it maintains its altitude…

A:

Q: What is the rate of change of y with respect to rfor this function?

A: Given,           The table represents some points on the graph of a linear function.

Q: Suppose that an object moves along the y-axis so that its location is y = x² + 4x at time x. (Here y…

A: Given, y=f(x)=x2+4x

Q: Example: Find the rate of change of the volume of a cylinder with respect to r if h = 10m.

A:

Q: a) When a gold plate is heated in order to melt it, initially its area increases at the rate of 67…

A:

Q: The volume of a sphere is decreasing at a constant rate of 6474 cubic meters per second. At the…

A: Use differentiation

Q: A cubic block of ice whose side is 2 inches long is melting at a rate of 1 in^3 per minute. How fast…

A:

Q: The half-life of a radioactive material whose rate of disintegration is proportional to the amount…

A: For the given statement

Q: 3 The altitude of a triangle is increasing at a rate of 8 cm/s while its area is increasing at the…

A:

Q: 2. A tank with a shape of a cone is 20 feet deep and has a diameter of 10 feet at the top. Water is…

A: Given; Diameter = 10 feet  Height = 20 feet

Q: 2. The radius of a cylinder is increasing at a rate of 1 meter per hour, and the height of the…

A:

Q: 14. Find the average rate of change of y=x' over the interval [1, 3].

A: According to our terms and conditions I have solved first question for next question repost

Q: Suppose y varies at a constant rate of change of -0.8 with respect to x (so that Ay : 0.8 · Ax), and…

A: Given: ∆y=-0.8·∆x Therefore: dydx=-0.8dy=-0.8 dxy=-0.8x+C Now x = 4 when y = 1, therefore:…

Q: How to find the rate of change of y=x^2-3 over the interval (-2,0)

A:

Q: 3. The radius of a cylinder is increasing at a rate of 4cm/sec. The surface area remains constant at…

A: Given

Q: w many times between two points do we have an Instantaneous Rate Of change equalling Average ro

A: To determine the number of times the instantaneous rate of change equals to the average rate of…

Q: 2. The radius and lateral area of a right circular cylinder change at the rates of 1 cm/s and -2…

A:

Q: (13) The blood pressure P measured in millimeters of mercury of an adult x years old is given by…

A: Given: P(x)= 40+25ln (x+1)  the limit 0 between 65 To find : Rate of change  of pressure of the…

Q: Find the rate of change. Area of a square with respect to its side s when s = 5

A: To find the rate of change of the area of square with respect to its side s.

Q: 8 is The average rate of change of g from x = 5 to x = Question Help:

A:

Q: 1. Assume that the rate at which a hot body cools is proportional to the difference in temperature…

A:

Q: Suppose that liquid is to be cleared of sediment by allowing it to drain through a conical filter…

A: Given,

Q: 2. The height of a right circular cone is increasing at 4 cm/sec and the radius is decreasing at 1.5…

A: topic - application of derivatives

Q: Suppose that the spread of a disease through the student body at an isolated college campus can be…

A: Here we have to find out rate of change of y.

Q: 5. A heap of garbage in the shape of a cube is being compacted. Given that the volume decreases at a…

A:

Q: Suppose x and y are functions of third variable t. In the equation +y=45, what are the values of the…

A:

Q: 5. Two parallel sides of a rectangle are being lengthened at the rate of 20 mm/sec, while the other…

A: Given that the lengths of the rectangle are begin increased at the rate of 20 mm /sec. The other two…

Q: Suppose yy varies at a constant rate of change of -0.6 with respect to xx (so that…

A:

Q: ladder 5 meters long is leaning against a vertical wall. Due to the smooth floor, the foot of the…

A: Given query is to find the rate of change of y with respect to x.

Q: 4. The radius of a right circular cone is increasing at the rate of 6 cm/sec while its altitude is…

A:

Q: 3) An empty can of room freshener that has a volume of 350 mL, contains gas at a pressure of 360 kPa…

A: I am attaching image so that you understand each and every step.

Q: 2. The height and volume of a right circular cone change at the rates of 1 cm/s and -2 cm^3/s,…

A: Let's find.

Q: 2. The volume and radius of a right circular cylinder change at the rates of 1 cm^3/s and -2 cm/s,…

A: Given : Radius = 2cm, height = 1 cm Rate of change of radius is 2 cm/s and rate of change of volume…

Q: 4.) A light is placed on the ground 32ft. from a building. A man 6ft, tall walks from the light…

A: Given : A light on the ground is 32 feet away from a building. A 6 foot man is walking from the…

Q: If the rate of change of y with respect to x is equals to 2-y and y=8 and x=0. Find y when x=ln(2).

A: Given: The rate of change of y with respect to x  is equal to 2-y. That is, dydx=2-y

Q: "The radius of the base of a cylinder is decreasing at a rate of 12 kilometers per second. The…

A:

Q: A right triangle with legs of lengths x and y has its area given by the following. If the rate of…

A: Area of a right triangle is given by A = 12xy Rate of change of x is 2 units per minute i.e., dxdt =…