(b) Use differentials to estimate the maximum error in the calculated volume. What is the relative error?

Q: 2). The radius of a circular disk is given as 24 cm with a maximum error in measurement of 0.2 cm.…

A:

Q: Water is flowing at the rateof 6 m3/min from a reservoir shaped like a hemispherical bowl ofradius…

A:

Q: Use differential to approximate the change in the volume of a sphere when its radius changes from 2…

A: Use differentials to approximate the change in the volume of a sphere when the radius is increased…

Q: Use the differential dV to estimate the change in volume of a sphere when the radius changes from 9…

A: ddxxn=n xn-1

Q: The side of a square is measured to be 10 ft, with a possible error of +0.5 ft. Enter the exact…

A:

Q: A tank of mass 20 m\ kg containing 100 kg of water (density of water is 1000 kg/m) is raised…

A: Given, Mass of a tank=20 kg containing 100 kg of water  Speed of the water =100 m/min for 1 min…

Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a…

A: Solution

Q: Liquid feed at a rate of 8 L/min is introduced into a cylindrical tank with a bottom area of 335…

A:

Q: The radius of a circular disk is given as 28 cm with a maximal error in measurement of 0.4 cm. Use…

A: Given Radius of circular disk r=28 cm Maximal error ∆r=0.2 cm Area of circular disk ,A=πr2…

Q: A right-circular cylinder has a height which is three times its diameter. The diameter of the…

A: Given, A right circular cylinder, Diameter,2r=8cm Radius,r=82=4cm Height=3(diameter) Height=32r=6r…

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min.…

A:

Q: g hemispherical reservoir Water is flowing at the rate of 6 m3/min from a reservoir shaped like a…

A: Let y be the depth of the water , r be the radius of the water , V be the volume of the water and R…

Q: The circumference of a sphere was measured to be 84 cmwith a possible error of 0.5 cm.(a) Use…

A:

Q: ASK YOUR TEACHER ********** Use differentials to estimate the amount of metal in a closed…

A:

Q: How to compute for the differential volume of each coordinate system and its phase area?

A: Hints: We have to discuss that how to compute for the differential volume of each coordinate system…

Q: The side of a cube is measured with a possible percentage error of ±6%. Use differentials to…

A: Given- dss=±6% To find- The percentage error in the volume by differential method. Concept Used- Let…

Q: The possible error involved in measuring each dimension of a right circular cone is + inch. The…

A: The propagated error dV = V'(r)dr, here dr = +0.1 or -0.1 inch and r = 4 inches.

Q: The radius of a circular disk is given as 20 cm with a maximum error of 0.3 cm. (a) Use…

A:

Q: The temperature at a point in a ball with conductivity K is inversely proportional to the distance…

A: We know:

Q: Use differentials to estimate the amount of material in a closed cylindrical can that is 80 cm high…

A: Height of cylinder (h) =80 cmDiameter of the cylinder (D)=32 cmRadius of the cylinder (r)=16…

Q: The radius of a circular disk is given as 20 cm with a maximum error of 0.3 cm. a) Use differentials…

A: GIVEN The radius of a circular disk is given as 20 cm with a maximum error of 0.3 cm we need to find…

Q: 1 find the total differential dz. axeta TU

A: Find dz

Q: What is the Net Change Theorem? What does it say about theintegral of velocity? The integral of…

A: What is the Net Change Theorem? What does it say about the integral of velocity? The integral of…

Q: Water is flowing at the rateof 6 m3/min from a reservoir shaped like a hemispherical bowl ofradius…

A: Given  The equation of the volume is V=π3y23R-y Radius of the hemisphere is R=13 m  Water flowing…

Q: The radius of a sphere was measured and found to be 14 inches with a maximum error in measurement of…

A: Radius of sphere given as r = 14 inch maximum error in measurement is 0.01 inch   volume of sphere V…

Q: The diameter of a spherical ball bearing was measured to be 7.8 mm with a possible error of 0.07 mm.…

A:

Q: A cylindrical shell has a thickness of 0.2 cm. Using differentials, approximate the volume of the…

A:

Q: 8. Use differentials to approximate the change in the volume of a cylinder if the height is…

A: Let's find.

Q: The radius of a spherical balloon is measured to be 8 inches. with a possible error of 0.03 inch.…

A:

Q: The thickness of the shell is a = 0.7 centimeter. Use differentials to approximate the volume of the…

A: Volume of sphere V= 43π×r3 From given figure radius is 100 cm .

Q: Use differential to calculate the volume of the material needed in making a thin sphere with inner…

A:

Q: Use differential to approximate the change in the volume of a sphere when its radius changes from 2…

A: Volume,V=43πr3 Differentiating dV=43π(3)r3-1drdV=43π(3)r2drdV=2πr2dr

Q: 2. The side of a square is measured to be 10 ft with a possible error of +/- 0.1 ft. A. Use…

A:

Q: The radius of a circular disk is given as 24 cm with a maximum error in measurement of 0.2 cm. (a)…

A: Solution:

Q: A rectangular box has sides of length x cm, y cm and z cm. Sides x and z are expanding at rates of 3…

A: This is a problem of the application of derivative.

Q: A window has the shape of a square surmounted by semi-circle. The base of the window has a width of…

A:

Q: Find the limits of integration in cylindrical

A:

Q: A 17-ft ladder is leaning against a wall. The foot of this ladder is sliding away at the rate of…

A:

Q: How do you find the upper and lower limit of an integral volume equation?

A: To find :  The upper and lower limit of an integral to find the Volume of the given region.

Q: A disk of radius 3 cm has density 6 g/cm? at its center, density 0 at its edge, and its density is a…

A: Given radius of disc r = 3 cm Density at center ρc = 6 g/cm2 Density at edge ρe = 0 given density is…

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

A:

Q: The radius of a spherical ballon is measured to be 10 inches, with a possible error of 0.04 inch.Use…

A:

Q: 34. The radius of a circular disk is given as 24 cm with a maximum error in measurement of 0.2 cm.…

A:

Q: The edge of a cube was found to be 30 cm with a possibleerror in measurement of 0.1 cm. Use…

A: Let the length of the edge of a cube be x. Given data:

Q: The dimensions of a closed rectangular box are measured as 89 cm, 61 cm, and 35 cm, respectively,…

A:

Q: The radius of a circular disk is given as 27 cm with a maximum error in measurement of 0.2 cm. Use…

A:

Q: 3. Use differentials to approximate the volume of a spherical shell whose inner radius is 5 cm and…

A:

Q: measurement of .1 cm. Use differentials to estimate the percentage error (to the nearest hundredth)…

A:

Q: 2. Determine the approximate volume of a cube whose edge is 19.95 cm, using differential. 3. Use…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.