just question (b) please have gotten up to y=e^-x3 +c

Q: Pilar owns a parcel of land whose value tyears from now will be V (t) = 8000e" dollars. If the…

A: Given: Pilar owns a parcel of land whose value t years from now will be V(t) = 8000et dollars. The…

Q: A point is moving on the graph of y³ = x². When the point is at (-512, 64), its y coordinate is…

A: Given, A point is moving on the graph of  y3 = x2. When the point is at -512, 64, its y coordinate…

Q: A cylindrical rod made of ice is melting at a rate of 8 cm3 per minute. When the length of the rod…

A: The formula for the volume of the cylindrical rod is, V=πr2h where r is the radius of the…

Q: (5) Suppose 2 mg of a drug is injected into a person's bloodstream. As it metabolizes, the amount of…

A: Initially 2 mg of drug is injected and it decreases at the rate of 4% each hourWhen must the person…

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Q: The half-life of radioactive cobalt is 5.27 years. Suppose that a nuclear accident has left the…

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Q: Jay and John used to travel together but because of the pandemic, they decided to go separately…

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Q: A circle is inside a square. The radius of the circle is increasing at a rate of 1 meter per day and…

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Q: A quantity with an initial value of 200 grows continuously at a rate of 55% per day. What is the…

A: Let the quantity Pn grown continuously at a rate of 55% per day. Initial quantity is P0=200.

Q: A quantity with an initial value of 220 grows continuously at a rate of 9.5% per hour. What is the…

A: Consider the provided question, Given, initial value = 220  Rate, r = 9.5% = 0.095 per hour t = 225…

Q: Suppose income from an investment starts (at time 0) at $6000 a year and increases linearly and…

A: While calculating compound interest, the addition of interest to the principal sum of a loan or a…

Q: A 10-foot ladder is standing vertically against the side of a building. To show you a related rates…

A: We can solve as follows

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

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Q: What information about a graph can be found from the second derivative?

A: What information about a graph can be found from the second derivative?

Q: 4. Describes the various ways in which integration and differentiation may be viewed as inverse…

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Q: Suppose the amount of oil pumped from one ofthe canyon wells in Whittier, California, decreases at…

A: We know that general exponential function is  y=y0e-kt California, decreases at the continuous rate…

Q: 9. A man 5 n tall is walking toward a building at the rate of 3 A/sec. If there is a light on the…

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Q: Please solve the initial value problem and show your work clearly. Thank you.

A: Introduction: Calculus is a branch of mathematics that focuses on rates of change, differential…

Q: At what rate is the production of fish changing with respect to time 5 months from now?

A: Given Data: Production of pounds of fish per month is: QK=109K13 ......1 Total investment is:…

Q: If

A: Explanation and solutions is given below....

Q: A certain bacteria culture grows at a rate proportional to its size. If 10,000 bacteria grow at the…

A: Given: A certain bacteria culture grows at a rate proportional to its size.

Q: A quantity with an initial value of 200 grows continuously at a rate of 4% per second. What is the…

A: To find: The value of quantity after 1.55  minutes. Given: The initial value of quantity is 200 and…

Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

A: Given that increasing altitude of the triangle dh=2cm/min The increasing area of the triangle dA =…

Q: A weather balloon is rising vertically at the rate of 5 meters per second. An observer is standing…

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Q: A point is moving along the graph of x3y2 = 200. When the point is at (2, 5), its x-coordinate is…

A: Given that a point is moving along the graph x3y2=200 and it's x-coordinate is changing at the rate…

Q: It is estimated that i months from now, the population of a certain town will be changing at the…

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Q: The population of Glenbrook is 375,000and is increasing at the rate of 2.25% per year. Predict when…

A: To find: When the population is 1 million. Given: Initial population is 375000 and rate of…

Q: A quantity with an initial value of 310 grows continuously at a rate of 8.5% per second. What is the…

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Q: A bacteria culture is known to grow at a rate proportional to the amount present. If the population…

A: This is a problem of the application of differential equations.

Q: The net worth, ƒ (t), of a company is growing at a rate of f' (t) 1000 – 6t2 in dollars per year…

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Q: A right triangle has legs of 33 inches and 44 inches whose sides are changing. The short leg is…

A: to find:- dH/dt.

Q: Suppose the amount of oil pumped from one of canyon near the beach of island decreases at the…

A: Given query is to find the time when output will become one fifth of initial value.

Q: Car B starts 30 miles directly east of car A and begins moving west at 90 mph. At the same moment…

A: We construct a triangle as shown below.

Q: The length of a rectangle is decreasing at the rate of 5 cm/s and its width is increasing at the…

A: Area of a rectangle = length× width Rate of change with respect to time is D/Dt

Q: A quantity with an initial value of 310 grows continuously at a rate of 8.5% per second. What is the…

A:

Q: quantity with an initial value of 220 grows continuously at a rate of 9.5% per hour. What is the…

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Q: The polluted water from Pond 1 drains into Pond 2 at 8 gallons per minute. Pond 1 initially contains…

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Q: A conical tank with the vertex down measures 10 meters in height and 9 meters in diameter of its…

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Q: Initially 100 millions of radioactive substance was present. After 6 hours the mass has decreased by…

A: Given query is to find the amount of radioactive substance after 24 hours.

Q: In March 1976 the world population reached 4 billion. At that time, a popular news magazine…

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Q: A right triangle has legs of 6 inches and 8 inches whose sides are changing. The short leg is…

A: Given that:                          Sides of legs = 6 in and 8 in.Decreasing rate of shorter side,…

Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

A: Formula of area of triangle 12bhWhere b is the base and h is the altitude Chain rule (uv)'= u'v+uv'

Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 5 meters per…

A: Let r be the radius of circle ands be the length of the side of squareGiven: drdt=-5 and ds/dt=5Let…

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

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Q: When we take measurements of the same general type, a power law of the form y = ax often gives an…

A: (b)   Given that X´=log(X) and Y´=log(Y)   X Y X´ Y´ 2 1.81 0.30103 0.257679…

Q: 5) If the radius of a right circular cylinder is increasing at a rate of 1 inch per minute, and the…

A: The volume of cylinder is given by the formula V=πr2h. The given values are as follows: r=40 inches,…

Q: 6) A light is 20 meters above a straight horizontal path. If a man 1.65 meters tall is walking away…

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Q: A right triangle has legs of 18 inches and 24 inches whose sides are changing. The short leg is…

A: Given: A right triangle has legs of 18 inches and 24 inches whose sides are changing. The short leg…

Q: 4. Determine all the time periods when the rate at which the water is flowing is increasing.

A: As per honor code, we are entitled to solve only 1 question at a time so I am providing the same.…