If an error of 1 percent is made in measuring the edge of a cube, what is the percentage error in the computed volume? (SOLVE BY USING DIFFERENTIAL EQUATIONS)

Q: An engineering instrument is able to measure the side of a square to within ±0.05 mm (dr). First,…

A: Assume the area to be A and the side length be a. Use the derivative to determine the error dA for a…

Q: The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced…

A: Given by If Palladium has a half-life of of 4 days then the model is: A = A0(1/2)(t/4) We are given…

Q: The measurement of the side of the cube is 6 cm long. If this length has an error of 1/12 cm. Find…

A: Topic = Derivative

Q: The half-life of Palladium-100 is 4 days. After 12 days a sample of Palladium-100 has been reduced…

A:

Q: The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium-100 has been reduced…

A:

Q: 1. The sides of a square decrease in length at rate 2 m/sec. At what rate is the area of the square…

A:

Q: One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 30°,…

A:

Q: The rate of decay of radium is said to be proportional to the amount of radium present. If the…

A: Simple rate of decay of radium problem....

Q: One side of a right triangle is known to be 45 cm long and the opposite angle is measured as 30°,…

A: Given: One side of a right triangle is known to be 45 cm long and the opposite angle ismeasured as…

Q: The half-life of Palladium-100 is 4 days. After 16 days a sample of Palladium-100 has been reduced…

A:

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 is 4 days        t1/2=4 days Let N(t) be the quatity after t days…

Q: In monitoring the blood alcohol content of a person, the bloodstream, which is composed of 5L of…

A: We will formed a differential equation and then solve it to get amount of blood

Q: The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced…

A:

Q: The measurements of an edge of a cube is found to be 15cm with a possible error of 0.01 cm. Use the…

A: We have a cube whose edge is 15 cm. The error in calculating the edge is 0.01 cm Now, this error can…

Q: In order to compare amounts of two different substances, it is necessary to figure out the amount of…

A:

Q: One side of a right triangle is known to be 12 cm long and the opposite angle is measured as 30°,…

A: Part (a):To estimate the error in the length of hypotenuse.

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…

Q: In monitoring the blood alcohol content of a person, the bloodstream, which is composed of 5L of…

A: Given: Bloodstream is composed of 5L of water The rate of single inflow, by absorption of fluids…

Q: One side of a right triangle is known to be 45 cm long and the opposite angle is measured as 30°,…

A: a) Given that one side is 45 cm long and the opposite angle is measured as 30° with a possible error…

Q: The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium-100 has been reduced…

A:

Q: The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced…

A:

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.

Q: A circle has a radius of 5 cm, if the radius is increased by 0.1 mm., what is the estimated increase…

A: Let's find.

Q: The half-life of Palladium-100 is 4 days. After 16 days a sample of Palladium-100 has been reduced…

A:

Q: A liquid solution is passing thru a conical filter 2 feet deep and 4/3 feet across the top, into a…

A: We have to find the rate at which the level of the solution in the cylinder rising.

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: As an object cools, its rate of cooling slows. Explain how this follows from Newton’s Law of…

A:

Q: A    26    foot    ladder    is    sliding    down    a    vertical    wall.        The    base…

A: This question can be solved using the concept of rate of change of physical quantities.

Q: The half-life of Palladium-100 is 4 days. After 16 days a sample of Palladium-100 has been reduced…

A:

Q: The half-life of Palladium-100 is 4 days. After 16 days a sample of Palladium-100 has been reduced…

A:

Q: The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced…

A:

Q: 17. If the radius of a sphere is increasing at the constant rate of 3 inches per second, how fast is…

A: Given: The radius of the sphere is increasing at the constant rate of 3 inches per second. To find:…

Q: One side of a right triangle is measured as 9.5 inches and opposite angle equal to 26.75° with 0.25°…

A:

Q: A tank initially contains 100 L of a well-mixed water-and-salt solution, with salt concentration of…

A: As the solution well mixed water and solution solution and flowing out with the constant rate of 2 L…

Q: The radius of a right circular cylinder is increasing at the rate of 8 in/sec while the height is…

A: Given- drdt=8 in/sec and dhdt=-3 in/sec To Find- The rate of the volume changing when r= 7 in and…

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: The half-life of Palladium-100 is 4 days. After 16 days a sample of Palladium-100 has been reduced…

A:

Q: The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium-100 has been reduced…

A: Topic:- function

Q: There's a tank containing 50 L of a solution into which 10 g of salt is dissolved in. A solution…

A: image is attached

Q: In monitoring the blood alcohol content of a person, the bloodstream, which is composed of 5L of…

A: To determine the equation to determine the amount of alcohol in the body at a time.

Q: 2. The volume of a cube decreases at a rate of 10m/sec. Find the rate at which the side of the cube…

A: dVdt=10m3/min, side=2mFormula of volumeV= side3

Q: The half-life of Palladium-100 is 4 days. After 16 days a sample of Palladium-100 has been reduced…

A: Use radioactive substance formula to determine it

Q: Find the solution of the initial value problem Please fill in a question quickly within a quarter of…

A:

Q: One side of a right triangle is known to be 9 cm long and the opposite angle is measured as 30°,…

A: Part (a) Side of the triangle is 15 cm, and opposite angle 30 degree with possible error of ± 1…

Q: The half-life of Palladium-100 is 4 days. After 16 days a sample of Palladium-100 has been reduced…

A:

Q: One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 30°,…

A: Given, a One side of right triangle = 20c.m longand the opposite angle=30°=xpossible error=±1°Let…

Q: The radius of an air bubble is increasing at the rate of 1/2 cm/s.At what rate is the volume of the…

A:

Q: The side of an equilateral triangle increases at the rate of 2 cm/hr. At what rate is the area of…

A: Value=?

Q: The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium-100 has been reduced…

A: To find the initial mass of the sample.

Q: 5 If a snowball melts so that its surface area decreases at a rate of 10 cm2/min, find the rate at…

A: