8 7- Based on the graph above, estimate (to one decimal place) the average rate of change from z = 1 to I = 4.

Q: 3. A plastic of warm water with a temperature of 110°F is placed inside a 0°F freezer. After 20…

A:

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

A:

Q: 2 5 Based on the graph above, estimate to one decimal place the average rate of change from x = 1 to…

A: Average rate change - Average Rate is defined as the change in quantity with respect to time .  The…

Q: 1) Assume that a tumour at a rate of G(1) = 13 mg/day at time t grows %3! days. What is the total…

A: integration

Q: 8. A spherical balloon is being inflated. Given that the volume of a sphere in terms of its radius 4…

A: we will use derivative to solve this.

Q: 1.The sides of an equilateral triangle are increasing at the rate of 3 cm/min Find: a) the rate of…

A: Given that: Rate of change of side of triangle, dadt=3 cm/min

Q: 3) Draw the line segment whose slope represents the average rate of change from x = 0 to x = 3. Use…

A: As per bartleby guidelines we only give first question answers.

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: 10+ a) Mark the two points on the graph that are needed to calculate Average Rate of Change over the…

A: The graph is given as ,

Q: 7- 4- Based on the graph above, estimate to one decimal place the average rate of change from x = 1…

A: To find the average rate of change we divide the change in output value by the change in the input…

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

A:

Q: 5. An apple pie with an initial temperature of 170 °C is removed from the oven and left to cool in a…

A:

Q: 14. Consider y = 4x + 5. Determine the average rate of change of y with respect to x between x = 1…

A: Definition used-              The average rate of change =f(x2)-f(x1)x2-x1

Q: 1. Find the average rate of change of k(x)= -x² over the interval [4,8]. Write your answer as an…

A: Given :           k(x) = -x2  ,  4,8

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

A:

Q: 12 2- Based on the graph above, estimate to one decimal place the average rate of change from x = 1…

A: From the given graph, it is observed that f1≈3.5 and f4≈8.5. Obtain the average rate of change over…

Q: A tank with a capacity of 210 liters, initially contains a solution with 20 kilograms of salt…

A: Total volume = 210 litre  Half-tank = 105 litre  Initial volume = 50 litre  Initial concentration =…

Q: 5. The concentration of a drug in the bloodstream t hours after the injection is given by is the…

A: C(t)=4.35 e-tRate of change of concentration;dCdt=ddt(4.35 e-t)dCdt=-4.35 e-tRate of change after 1…

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: 4. What is the rate of change described by the points in the table? change in y/change in x) * -1/3…

A:

Q: 35. To determine drug dosages, doctors estimate a person's body surface area (BSA) (in meters…

A: ..............(1)

Q: Based on the graph above, estimate to one decimal place the average rate of change from z= 1 to

A: mark the points as shown in the following figure

Q: 7- 4- Based on the graph above, estimate (to one decimal place) the average rate of change from z =…

A:

Q: 2. A 16-foot ladder rests against a vertical wall. The bottom of the ladder begins sliding at a rate…

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: 3 p Show that the area of an equilateral triangle with sides p cm is A = 4 If the side is changing…

A:

Q: 11. What is the instantaneous rate of change of f (x) = at x = 2? %3D %3D Sown ight ore the low ng…

A:

Q: 5 2 3 Based on the graph above, estimate (to one decimal place) the average rate of change from æ =…

A:

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

A:

Q: 5 Based on the graph above, estimate to one decimal place the average rate of change from a = 1 to x…

A: First write the  both point  x1, Y1 and x2, y2. Then use the formula of rate of change.. And put the…

Q: 10. A cylinder is being filled such that the height of its contents is increasing at a rate of 5 cm…

A: Rate of change of height = 5 cm/s Volume, V = πr2h Radius, r = 3

Q: 4 Based on the graph above, estimate (to one decimal place) the average rate of change from z = 1 to…

A: Given that: Graph of function:

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: 15, Sand falls from a conveyor belt at a rate of 12 m3 /min onto the top of a conical pile. The…

A: Given: Sand falls at rate                                                      = 12m3min…

Q: Suppose we want to estimate e0.017 using linear approximation. What is the approximate

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 6- 2 Based on the graph above, estimate (to one decimal place) the average rate of change from x = 1…

A:

Q: 14. The number of gallons of water in a tank t min. utes after the tank has started to drain is Q(1)…

A: Derivative basically represents rate of change.

Q: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.2 cm/min.…

A: Given          drdt=-0.2 cm/min            r=12 cm.

Q: Find the rate of bubble volume increasing when the radus is 4cm if its surface area is increasing at…

A: Given: dSdt=4  cm/secdVdt|r=4 cm=?

Q: 1.The sides of an equilateral triangle are increasing at the rate of 3 cm/min. a) the rate of change…

A: dadt=3 cmmin. (a) Perimeter of triangle = a+a+a      P=3a   dPdt=  3dadt=3×3 =9 cmmin.

Q: A deposit of $2000 at 2% interest compound continously will grow to v(t)= 2000e0.02t dollars after t…

A:

Q: 1. The population of bacteria in a culture grows at a rate proportional to the number of bacteria…

A: We have to calculate initial number of bacteria

Q: 57. A machinery depreciated by 40% in the first year, 25 per cent in stcond and 10% p.a. during the…

A:

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 2 3 Based on the graph above, estimate (to one decimal place) the average rate of change from x =…

A: Given graph is

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: 2. A bacteria culture is known to grow at a rate proportional to the amount present. After one hour,…

A: We will use exponential growth Function Here.

Q: 5. The area of an equilateral triangle is decreasing at a rate of 4 sq. cm. per minute. Find the…

A: