43. The mass of a 12-inch rod with a square cross section of side length 1.5 inches, with density x inches from the left end given by p(x) = 4.2 + 0.4x – 0.03x² grams per cubic inch.
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Q: 9. Find the value of JL MA KM = 2x + 10 JL = 5x – 11
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Q: The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium-100 has been reduced…
A: Given :Half life of Palladium-100= 4 days
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A: The surface area of the cube, S = 6x2 The volume of the cube, V = x3 We have given dS/dt = 72.
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A: We can use the application of derivative in order to solve the given problem.
Q: The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced…
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Q: The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced…
A: Given : The half life of Palladium-100 is 4 days and after 24 days a sample of Palladium-100 has…
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Q: Find the number of units x that produces the minimum average cost per unit C in the given…
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Q: 2. The radius of a sphere decreases at the rate of 5 m/sec. Find the rate at which the volume…
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Q: 16. If the radius of a circle is increasing at the rate of 4 cm/s, find the rate of the increase in…
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Q: The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced…
A: We use half life equation here.
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Q: if a 0.192 g sample of copper metal reacts with elemental sulfur to form 0.240 g of the sulfide…
A: Moles Cu = (0.192 g) / (63.546 g/mol) = 0.00302 Mass of S = 0.240 - 0.192 = 0.0480 g Moles S =…
Q: The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced…
A: Consider the decay of Palladium-100, The half life of Palladium-100 = 4 days and after 24 days…
Q: The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced…
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Q: The half-life of Palladium-100 is 4 days. After 16 days a sample of Palladium-100 has been reduced…
A: Topic-basic maths
Q: 2)The radius of a sphere decreases at the rate of 1 m/sec. Find the rate at which the volume…
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Q: The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium-100 has been reduce to…
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Q: 2. The edge of a cube decreases at a rate of 1.5m/s. Find the rate at which the surface area…
A: Solution Calculate the area of cube
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Q: The half-life of Palladium-100 is 4 days. After 16 days a sample of Palladium-100 has been reduced…
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Q: The half-life of Palladium-100 is 4 days. After 12 days a sample of Palladium-100 has been reduced…
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Q: If an error of 1 percent is made in measuring the edge of a cube, what is the percentage error in…
A: Take the formula of the volume of a cube then differentiate it to get the error in volume.
Q: The half-life of Palladium-100 is 4 days. After 12 days a sample of Palladium-100 has been reduced…
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Q: The half-life of Palladium-100 is 4 days. After 16 days a sample of Palladium-100 has been reduced…
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Q: The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced…
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Q: The half-life of Palladium-100 is 4 days. After 12 days a sample of Palladium-100 has been reduced…
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Q: 2. For a substance D, the time rate of conversion is proportional to the square root of the amount x…
A: Given For a substance D, time rate of conversion is proportional to the square root of the amount x…
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Q: The half-life of Palladium-100 is 4 days. After 12 days a sample of Palladium-100 has been reduced…
A: Given that half life of Palladium-100 is 4 days. Suppose that initial mass of sample is a then mass…
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Q: The half-life of Palladium-100 is 4 days. After 12 days a sample of Palladium-100 has been reduced…
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A: This question is based on the application of derivative.
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- Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a lateral area. b total area. c volume.5. A company wants to manufacture cylindrical aluminum cans with a volume of 1000 cm^3. Determine the radius and height of the can that will minimize the amount of aluminum used. Decimals to one decimal place are permitted.i) Compute the value of X in Table 2. ii) Estimate mass that dissolved in the water if the temperature is set at 100 Celcius.
- A substance evaporates at a rate proportional to the exposed surface. If a sphericalmothball of radius 1/2 cm has radius 0.4 cm after 6 months, how long will it take:(a) For the radius to be 1/4 cm?(b) For the volume of the mothball to be half of what it was originally?1. Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back to his house, which is on the shoreline and 6 kilometers from the point on the shoreline nearest Angelo. If he can row at 6 kph and run at 10 kph, how should he proceed in order to get to his house in the least amount of time?2. A closed box with a square base is to have a volume of 2000 cm3. The material for the top and bottom of the box costs P30 per square centimeter and the material for the sides cost P15 per square centimeter. Find the dimensions of the box so that the total cost of material is the least possible and all its dimensions do not exceed 20 cm.3. Find the radius and height of the right circular cylinder of largest volume that can be inscribed in a right circular cone with radius 4 cm and height 3 cm.4. An offshore oil well located at a point W that is 5 km from the closest point A on a straight shoreline. Oil is to be piped from W to a shore point B that is 8 km from A by piping it…The half-life of Palladium-100 is 4 days. After 12 days a sample of Palladium-100 has been reduced to a mass of 6 mg.
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- 11. If the base of a triangle is constantly 4 cm, find the rate at which the area of the triangle is changing with respect to the height. 21. At the maximum point, the value of y” isConsider a reservoir with a volume of 8 billion cubic feet (ft^3) and an initial pollutant concentration of 0.25%. There is a daily inflow of 500 million ft^3 of water with a pollutant concentration of 0.05% and an equal daily outflow of the well-mixed water in the reservoir. How long will it take to reduce the pollutant concentration in the reservoir to 0.10%?A mold grows at a rate that is proportional to the amount present. Initially there is 6oz of this mold, and 10 hours later there is 8oz. When is there 15oz of the mold?