Question Solved1 Answer Find the area of the shaded region. The x y-coordinate plane is given. There is a curve, two lines, and a region on the graph. The curve labeled y = x2 enters the window in the second quadrant, goes down and right becoming less steep, passes through the point (−2, 4) crossing the first line, changes direction at the origin, goes up and right becoming more steep, passes through the point (2, 4) crossing the second line, and exits the window in the first quadrant. The first line labeled 3y = 2x + 16 enters the window in the second quadrant, goes up and right, passes through the point (−2, 4) crossing the curve, crosses the y-axis at approximately y = 5.3, passes through the point (1, 6) crossing the second line, and exits the window in the first quadrant. The second line labeled y = 8 − 2x enters the window in the second quadrant, goes down and right, crosses the y-axis at y = 8, passes through the point (1, 6) crossing the first line, passes through the point (2, 4) crossing the curve, crosses the x-axis at x = 4, and exits the window in the fourth quadrant. The region is above the curve and below the two lines.

The table shows values of a force function f(x), where x is measured in meters and f(x) in newtons. х 5 7 9 11 13 15 17 19 21 f(x) 5 5.6 6.9 8.8 9.7 8 6.6 5.1 3.9 Use the midpoint rule with n = 4 to estimate the work W (in J) done by the force in moving an object from x = 5 to x = 21. = W = J

The composite plate is made from both Steel (A) and brass (B) segments. Determine the mass and location (x, y, z) of its mass center G. Take rho_st = 7.85 Mg/m^3 and rho_br = 8.74 Mg/m^3. The composite plate is made from both Steel (A) and brass (B) segments. Determine the mass and location (x, y, z) of its mass center G. Take rho_st = 7.85 Mg/m^3 and rho_br = 8.74 Mg/m^3.

The trial balance for Cullumber Fireplaces Inc. far December 31, 2024, follaws: 1. The deposits from customers were far future deliveries. As at December 31 , three-quarters of these goods had been delivered. 2. There is \( \$ 2,020 \) in wages awed at year end. 3. Rent is paid in advance on the las day of each month. There was a balance of \( \$ 3,040 \) The trial balance for Cullumber Fireplaces Inc. far December 31, 2024, follaws: 1. The deposits from customers were far future deliveries. As at December 31 , three-quarters of these goods had been delivered. 2. There is \( \$ 2,020 \) in wages awed at year end. 3. Rent is paid in advance on the las day of each month. There was a balance of \( \$ 3,040 \) in the Prepaid Rent account on January 1 , 2024. At the end of January, \$3,040 was paid for the February rent and was debited to the Prepaid Rent account. All the rent payments during the year were treated the same way. The rent for July to December increased to \( \$ 4,040 \) per month (Hint Determine the amount of rent expense for 2024 , as well as the correct amount that has been prepaid for 2025 , and make an adjustment that will bring bath these accounts to the carrect balances.) 4. A count of the supplies at year end revealed that \( \$ 510 \) of supplies were still on hand. 5. The building is being depreciated over 20 years with a residual value of \( \$ 20,200 \). 6. The bank loan was taken cut on Appril 1, 2024. The first interest payment is due an April 1, 2025. The interest rate is 10\%. 7. Income tax for the year should be calculated using a tax rate of \( 30 \% \). (Hint After you finish the other ad/usting entries, you will have to determine the income before income tax and then calculate the tax as \( 30 \% \) of this amaunt.] Prepare the adjusting entries for the year 2024. (List all debit entries before credit entries. Credit account tities are automatically indented when the amount is entered. Do not indent manually. If no ensty is required, select "No Entry" for the account titles and enter of for the amounts.)

A point charge q = +39.0 μC moves from A to B separated by a distance d = 0.171 m in the presence of an external electric field E with arrow of magnitude 300 N/C directed toward the right as in the following figure. 4. +-22 points SerCP11 16 P.006 My Notes Ask Your Teacher a distance d -0.171 m in the presence of an external electric field E of magnitude 300 N/C directed toward the right as in A point charge q = +39.0 μC moves from A to B separated by the following figure. (a) Find the electric force exerted on the charge magnitude direction --Select b)Find the work done by the electric force (c) Find the change in the electric potential energy of the charge (d) Find the potential difference between A and B Need Help? Read It [A point charge g = +39.0 1iC moves from A to B separated by a distance d = 0.171 min the presence of an external electric feld E of magnitude 300 N/C directed toward the right as in the following figure. E ——>}- A B (2) Find the electric force exerted on the charge. magnitude " direction Select (0) Find the work done by the electric force. a (©) Find the change in the electric poter 2 ‘energy of the charge. (¢) Find the potential difference between A ang 8. Va- Vz v Necd Help? a 

2) Create a maths problem and model solution corresponding to the following question: "Find the directional derivative of the following two-variable function for the supplied point and unit vector" Evaluate the directional derivative at the point (2, 5). Ensure that your supplied function uses both x and y, has 3 terms, and that at least one of those terms 2) Create a maths problem and model solution corresponding to the following question: "Find the directional derivative of the following two-variable function for the supplied point and unit vector" Evaluate the directional derivative at the point (2, 5). Ensure that your supplied function uses both x and y, has 3 terms, and that at least one of those terms contains √x. You may choose the vector representing the direction you will evaluate the directional derivative in, and the derivative must be a multiple of √2.

Find a realization for the proper rational matrix 2 2s - 3 (s + 1)(s + 2) S-2 s +1 S +2 Ĝ(s) S +1 = S