35. To determine drug dosages, doctors estimate a person's body surface area (BSA) (in meters squared) using the formula BSA = /hm/60, where h is the height in centimeters and m the mass in kilograms. Calculate the rate of change of BSA with respect to mass for a person of constant height h = 180. What is this rate at m = 70 and m = 80? Express your result in the correct units. Does BSA increase more rapidly with respect to mass at lower or higher body mass?

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 :

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A:

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A: (a)  To find: The rate of change of supply price with respect to the number of units supplied. Given…

Q: 6) A chemical flow into a storage tank at a rate of 180 + 3t liters per minute, where 0st< 60. Find…

A: Given: Rate of flow of chemical in tank in liters per min: dVdt=180+3t 0≤t≤60

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A:

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A:

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A:

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

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A:

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

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A: Use the derivative and substitute the given values.

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A: We will find the amount conveted in the given time.

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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…

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A:

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A: To find the rate of change of total mass

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A:

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A:

Q: At 1:00 P.M., oil begins leaking from a tank at a rate of (4 + 0.77t) gallons per hour. (Round your…

A: We have, at 1:00 P.M., oil begins leaking from a tank at rate 4+0.77t gallons per hour. Let us…

Q: 4. A beach ball is deflating at a constant rate of 10 cubic centimeters per second. When the volume…

A: NOTE: You have posted multiple questions we have given answer to the first question if there is a…

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

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A:

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

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

A: Use differentiation

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

A: Solution:Given     BSA=hm60To calculate  the rate of change of BSA with respect to mass for a person…

Q: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.4 cm/min.…

A: Given: The rate at which the radius is decreasing is, drdt=-0.4 cm/min. To determine the rate at…

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…

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Q: Show the complete solution. Kindly, include the necessary table of values.   2. The population of…

A:

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

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A:

Q: The length l of a rectangle is decreasing at the rate of 2 cm/sec while the width w is increasing at…

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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: Suppose that the supply of x units of a product at price p dollars per unit is given by the…

A: Given that p=40+60 ln8x+2 find 1. dpdx2. dpdxx=31

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A: use derivative of function

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A:

Q: 4. The rate of change of a certain substance is proportional to the amount of substance is 10 grams…

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A:

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

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A: Let the length of Rectangle =x Let the width of Rectangle =y since,  Area = (length)×(width)…

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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: The average rate of change of the height of water in a vase with respect to the volume of water in…

A: The given statement is, "The average rate of change of the height of water in a vase with respect to…

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A: T = 50 + 1.2 h  .....(1) where h, is the number of hours since noon. h = 0T = 50 + 1.2(0)TInitial =…

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

A:

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