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2. The measurements of the base and altitude of a triangle are found to be 36...
. The height and radius of a right circular cylinder are approximately 15 centimeters and 8 centimeters, respectively. The maximum error in each measurement is +0.02 centimeters. a. Find the appr...
. The height and radius of a right circular cylinder are approximately 15 centimeters and 8 centimeters, respectively. The maximum error in each measurement is +0.02 centimeters. a. Find the approximate volume of the cylinder. b. Use the total differential to estimate the propagated error in the calculated volume of the cylinder. c. Use the total differential to estimate the relative error in the calculated volume of the cylinder
. The height and radius of a right circular cylinder are...
4. A cylindrical silo with a hemisphere top has a surface area, A= 2nrh+37r, where r...
4. A cylindrical silo with a hemisphere top has a surface area, A= 2nrh+37r, where r is the radius of the cylindrical base and the radius of the hemisphere and h is the height of the cylindrical base. The height is measured to be 30 m with a possible error in measurement of 0.2 m and the radius is measured at 5 m with a possible error of 0.1 m. Use differentials to estimate the largest possible relative error when...
1. A triangle having a base of 1.8 meters and altitude of 2.5 meters wholly immersed in water, it...
1. A triangle having a base of 1.8 meters and altitude of 2.5 meters wholly immersed in water, its base being in the surface and its plane vertical. If the triangle will be divided by a horizontal line through its center of pressure. (35 points) a. Find the location of the center of pressure of the triangle (whole section b. Find the pressure at the triangle (the whole) c. Find the pressure on the upper area of the triangle d....
2a) A steel ball bearing is to be manufactured with a diameter of 2 cm. The...
2a) A steel ball bearing is to be manufactured with a diameter of 2 cm. The manufacturing process has a tolerance of £.1 mm in the diameter. Given that the density of steel is about 7.85 cg , estimate the propagated error in the mass of the ball bearing. cm3 , Notel: Use differentials to solve this problem. You must use correct notation. Note 2: mass=volume x density b) Is the error found in part a) significant? Ta get a...
Please answer ALL parts of these questions and show all work. I will rate my answer....
Please answer ALL parts of these questions and show all work. I
will rate my answer. Thank you!
.
E. Questions Consider the cylinder case. The uncertainty in any one measurement of the density can be determined in the following way. (a) Take the instrumental limit of error associated with the Vernier calipers used to be one-half the least count or smallest measureable increment 8lVernier = 0.001 cm Assume the uncertainty in all linear measurements to be the same and...
) 8. Suppose a triangle is constructed where two sides have fixed length a and b, but the third side has variable length x You can imagine there is a pivot point where the sides of fixed length a and...
) 8. Suppose a triangle is constructed where two sides have fixed length a and b, but the third side has variable length x You can imagine there is a pivot point where the sides of fixed length a and b meet, forming an angle of θ. By changing the angle θ, the opposite side will either stretch or contract (a) Let K(x)- Vs(s - a)(s -b)(s - x), where s is the semiperimeter of the triangle. Accord ing to...
Problem 2. Use zero- through fourth-order Taylor series expansions to predict G (0.35) the function considering a base...
Problem 2. Use zero- through fourth-order Taylor series expansions to predict G (0.35) the function considering a base point at ωο-0.25. Compute the true percent relative error (Et) for each approximation. Discuss the meaning of the results.
Problem 2. Use zero- through fourth-order Taylor series expansions to predict G (0.35) the function considering a base point at ωο-0.25. Compute the true percent relative error (Et) for each approximation. Discuss the meaning of the results.
3. H&M has found that its marginal cost, in dollars, for the rth jacket produced is given by C' (r) 0.0003r2 -...
3. H&M has found that its marginal cost, in dollars, for the rth jacket produced is given by C' (r) 0.0003r2 - 0.2x 50 (6 points) Approximate the total cost of producing 400 jackets by computing the sum a. 4 C'(r)Ax, with Ax = 100. (Use a calcula 40 tor to determine the final value.) 30F c'(7 20 10- 100 200 300 400 Number of jackets the interval 0,400]. b. (3 points) Find the exact area under the curve on...
this is from measurement and instruction. looking for solution to understand better . 3.43. in a...
this is from measurement and instruction. looking for solution to
understand better .
3.43. in a particular measurement system, quantity x is caicuiated by subtracting a measurement of a quantity : from a measurement of a quantity y, that is, xy- if the possible measurement errors in y and: are tay and b, respectively, show that the value of x can be expressed as-y(ay -bz). (a) What is inconvenient about this expression for x, and what is the basis for...
i need help with number 3&4 and the answer is in red i just need to know how to work the problem (a) y (b) y=-x3 + 6x2-9x + 3 2. The sum of two nonnegative numbers is 36 (a) Find the two numbe...
i need help with number 3&4 and the answer is in red i
just need to know how to work the problem
(a) y (b) y=-x3 + 6x2-9x + 3 2. The sum of two nonnegative numbers is 36 (a) Find the two numbers if the differ ence of their square roots is to be as large as possible. 0 and 36 (b) Find the two numbers if the sum of their square roots is to be as large as...
. The height and radius of a right circular cylinder are approximately 15 centimeters and 8 centimeters, respectively. The maximum error in each measurement is +0.02 centimeters. a. Find the approximate volume of the cylinder. b. Use the total differential to estimate the propagated error in the calculated volume of the cylinder. c. Use the total differential to estimate the relative error in the calculated volume of the cylinder
. The height and radius of a right circular cylinder are...
4. A cylindrical silo with a hemisphere top has a surface area, A= 2nrh+37r, where r is the radius of the cylindrical base and the radius of the hemisphere and h is the height of the cylindrical base. The height is measured to be 30 m with a possible error in measurement of 0.2 m and the radius is measured at 5 m with a possible error of 0.1 m. Use differentials to estimate the largest possible relative error when...
1. A triangle having a base of 1.8 meters and altitude of 2.5 meters wholly immersed in water, its base being in the surface and its plane vertical. If the triangle will be divided by a horizontal line through its center of pressure. (35 points) a. Find the location of the center of pressure of the triangle (whole section b. Find the pressure at the triangle (the whole) c. Find the pressure on the upper area of the triangle d....
2a) A steel ball bearing is to be manufactured with a diameter of 2 cm. The manufacturing process has a tolerance of £.1 mm in the diameter. Given that the density of steel is about 7.85 cg , estimate the propagated error in the mass of the ball bearing. cm3 , Notel: Use differentials to solve this problem. You must use correct notation. Note 2: mass=volume x density b) Is the error found in part a) significant? Ta get a...
Please answer ALL parts of these questions and show all work. I
will rate my answer. Thank you!
.
E. Questions Consider the cylinder case. The uncertainty in any one measurement of the density can be determined in the following way. (a) Take the instrumental limit of error associated with the Vernier calipers used to be one-half the least count or smallest measureable increment 8lVernier = 0.001 cm Assume the uncertainty in all linear measurements to be the same and...
) 8. Suppose a triangle is constructed where two sides have fixed length a and b, but the third side has variable length x You can imagine there is a pivot point where the sides of fixed length a and b meet, forming an angle of θ. By changing the angle θ, the opposite side will either stretch or contract (a) Let K(x)- Vs(s - a)(s -b)(s - x), where s is the semiperimeter of the triangle. Accord ing to...
Problem 2. Use zero- through fourth-order Taylor series expansions to predict G (0.35) the function considering a base point at ωο-0.25. Compute the true percent relative error (Et) for each approximation. Discuss the meaning of the results.
Problem 2. Use zero- through fourth-order Taylor series expansions to predict G (0.35) the function considering a base point at ωο-0.25. Compute the true percent relative error (Et) for each approximation. Discuss the meaning of the results.
3. H&M has found that its marginal cost, in dollars, for the rth jacket produced is given by C' (r) 0.0003r2 - 0.2x 50 (6 points) Approximate the total cost of producing 400 jackets by computing the sum a. 4 C'(r)Ax, with Ax = 100. (Use a calcula 40 tor to determine the final value.) 30F c'(7 20 10- 100 200 300 400 Number of jackets the interval 0,400]. b. (3 points) Find the exact area under the curve on...
this is from measurement and instruction. looking for solution to
understand better .
3.43. in a particular measurement system, quantity x is caicuiated by subtracting a measurement of a quantity : from a measurement of a quantity y, that is, xy- if the possible measurement errors in y and: are tay and b, respectively, show that the value of x can be expressed as-y(ay -bz). (a) What is inconvenient about this expression for x, and what is the basis for...
i need help with number 3&4 and the answer is in red i
just need to know how to work the problem
(a) y (b) y=-x3 + 6x2-9x + 3 2. The sum of two nonnegative numbers is 36 (a) Find the two numbers if the differ ence of their square roots is to be as large as possible. 0 and 36 (b) Find the two numbers if the sum of their square roots is to be as large as...
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