The concentration of a drug in a patient's bloodstream t minutes after an injection is C(t)= 700 82^-0.02t µg/mL. What is the average rate of change of the concentration during the first 20 minutes?

Q: A cell culture contains 7 thousand cells, and is 0.12t thousand cells growing at a rate of r(t) per…

A:

Q: Water flows into an empty reservoir at a rate of 1000 + 220t liters per hour (t in hours). What is…

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Q: The surface area of kelp near Monterrey Bay is 40,000 square acres, but after four years a red sea…

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Q: The length of a rectangle is increasing at the rate of 2 ft/sec. The width is decreasing at 5…

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Q: The altitude of a triangle is increasing ata rate of 1 centimeters/minute while the area of the…

A:

Q: the area of a circle is decreasing at a constant rate of 181 square centimeters per second. at the…

A: Given, dAdt=181cm2sec now we know area of circle is: A=πr2 now derivate both side w.r.t t…

Q: The length of a rectangle is increasing at arate of 5 cm per second and its width is decreasing at a…

A:

Q: Can the instantaneous rate of change be different than the average rate of change in the same…

A: We describe that the instantaneous rate of change be different than the average rate of change in…

Q: what is the growth rate of the cells after 6 hours has gone by

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Q: Estimate the average rate of change from x = 1 to x = 4. %3D

A: average rate of change of f(x) on a,b=f(b)-f(a)b-aHere a=1 ,  b=4From graph f(1) = 5 ,  f(4) = 4

Q: 17. The base of a triangle is increasing at a rate of 2in/min. If the altitude is always twice the…

A:

Q: A farmer has a field infested with nematodes and wishes to reduce their numbers. She applies an…

A: N'(t)=-43te710 To find out the formula for N(t) we take integral…

Q: If we know the rate of growth of a patch of moss, how can we calculate the area the moss covers?

A: The rate of growth of a patch of moss is modeled by a complex function A't, where t is measured in…

Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the…

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Q: When a circular plate of metal is heated in an​ oven, its radius increases at a rate of 0.04…

A: When a circular plate of metal is heated in an​ oven, its radius increases at a rate of  0.04…

Q: A tank contains 45 liters of a chemical solution prepared by dissolving 80 g of a soluble substance…

A: We will find out the required value.

Q: When a circular plate of metal is heated in an oven, its radius increases at the rate of 0.01…

A:

Q: A rectangle has a length of 10 inches and a width of 4 inches whose sides are changing. The length…

A: Given:A rectangle has a length of 10 inches and a width of 4 inches whose sides are changing. The…

Q: A rectangle has a length of 1 inches and a width of 12 inches whose sides are changing. The length…

A:

Q: A 12 m ladder is placed against a large building. The base of the ladder is resting on some slick…

A:

Q: A container contains 80 liters of pure water. A brine solution with 2 kg/L of salt enter at 2 L/min,…

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Q: 1. One leg of a right triangle decreases at 1 in./min. and the other leg increases at 2 in./min. At…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: The length of a rectangle is increasing at a rate of 5 cm per second and its width is decreasing at…

A: Let x be the length, y be the width and A be the area of the rectangle. Then we get, A = xy The rate…

Q: A rectangle's length is increasing at the rate of 5 inches/sec, its width at 2 inches/sec. At what…

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Q: The length of a rectangle is increasing at a rate of 5 cm per second and its width is decreasing at…

A: Given a rectangle whose length is increasing at rate of 5cm per second and width is decreasing at…

Q: A particular metal plate increases in radius when heated in a microwave oven. It was found out that…

A: .

Q: 6. How is the instantaneous rate of change found?

A: Answer and explanation is given below..

Q: stone dropped into a pond sends out a circular ripple whose radius increases at a constant rate of…

A:

Q: A metal cube dissolves in acid such that an edge of the cube decreases by 0.70 mm/min. How fast is…

A: For a cube, length of all the sides will be same. So the volume of a cube is a³. Where 'a' is the…

Q: A metal cube dissolves in acid such that an edge of the cube decreases by 0.40 mm/min. How fast is…

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Q: Find the rate Of Chaange the folloewing in Table de. X 1-2)-1 TO fex) F3 -1 3.

A: Given that table values, x -2 -1 0 1 f(x) -3 -1 1 3 Use the formula of the rate of change,…

Q: A bacteria culture starts with 260 bacteria and grows at a rate proportional to its size. After 2…

A: Given Data: The initial population of bacteria is: P0=260 The population of bacteria after 2 hours…

Q: A particular metal plate increases in radius when heated in a microwave oven. It was found out that…

A: The rate of change of a value of one variable can be defined by the differential element with…

Q: A rectangle has a length of 11 inches and a width of 10 inches whose sides are changing. The length…

A:

Q: It is known that a bacterial culture increases at a rate that is proportional to its current amount.…

A: Given- Number of bacterial fibers after 1 hour=1000 Number of bacterial fibers after 4 hour=3000

Q: Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate…

A:

Q: . A tank contains 45 liters of a chemical solution prepared by dissolving 80 g of a soluble…

A:

Q: A rectangle has a length of 12 inches and a width of 6 inches whose sides are changing. The length…

A: The length of a rectangle is l=12 inThe width of a rectangle is w=6 inTo find the rate at width the…

Q: A tank contains 40 liters of a chemical solution prepared by dissolving 80 g of a soluble substance…

A: Given that, A tank contains 40 liters of a chemical solution prepared by dissolving 80 g of a…

Q: A rectangle has a length of 9 inches and a width of 10 inches whose sides are changing. The length…

A: Length of the rectangle, l =9 inches Width of the rectangle, w = 10 inches The length is increasing…

Q: A rectangle has a length of 7 inches and a width of 8 inches, whose sides are changing. The length…

A: Given: A rectangle has a length of 7 inches and a width of 8 inches, whose sides are changing.The…

Q: Sand pouring from a container forms a conical pile whose height is equal to the diameter. If the…

A: Note: According to our guidelines we can answer only 5th question

Q: The altitude of a triangle is increasing at a rate of 1 cmminwhile the area of the triangle is…

A: Givendhdt=1cm/mindAdt=2cm2/minA=100cm2h=10cm

Q: 1. When a circular plate of metal is heated in an oven its radius increases at a rate of 0.01…

A:

Q: A rectangle has a length of 7 inches and a width of 8 inches whose sides are changing. The length is…

A:

Q: A wet towel hung on a clothesline to dry outside loses moisture at a rate proportional to its…

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Q: (a) Water flows from a storage tank at a rate of 900 – 6t liters per minute. Find the amount of…

A: This question is related to calculus . solve in step 2.

Q: The radius of a right circular cylinder is increasing at the rate of 3 inches per ninute and the…

A: Given:The rate of change in radius =3 in/mThe rate of change in height =4 in/mThe radius =9 The…

Q: A 5 meter ladder is sliding down a vertical wall so the distance between the bottom of the ladder…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.