Question Solved1 Answer -. Find the area of the shaded region if the diameter of the outer circle is 12 ft. and the radius of the inner circle is 3 ft.

(1 point) Solve the system by finding the reduced row-echelon form of the augmented matrix. ⎧⎩⎨⎪⎪x+5y−4zx+3y+2z2x+13y−17z=−2=−10=8{x+5y−4z=−2x+3y+2z=−102x+13y−17z=8 reduced row-echelon form: (1 point) Solve the system by finding the reduced row-echelon form of the augmented matrix. = -2 x + 5y - 4 x + 3y + 2z 2.0 + 13y - 172 = -10 = 8 reduced row-echelon form: 1 0 1/2 0 0 1 0 0 0 0 0 0 How many solutions are there to this system? O A. None OB. Exactly 1 OC. Exactly 2 OD. Exactly 3 O E. Infinitely many OF. None of the above If there is one solution, give its coordinates in the answer spaces below. If there are infinitely many solutions, enter z in the answer blank for z, enter a formula for y in terms of z in the answer blank for y and enter a formula for 2 in terms of z in the answer blank for r. If there are no solutions, leave the answer blanks for 2, y and z empty. T = y= 2 z

4) Create a maths problem and model solution corresponding to the following question: "Evaluate the following integral using trigonometric substitution" The integral should make use of the substitution x = atane, and also require a second substitution to solve. The square root component should be multiplied by a polynomial.

A rectangular tank 6 x 8 ft is filled with a gasoline to a depth of 80 ft. The pressure at the gasoline is 14.7 psi. Find the pressure at the bottom of the tank and force exerted on the bottom.

14. Determinethecostof capitalfor the followingsecurities. Assume40%taxrate. a) A seven-year debenture with a coupon interest of 10%. The debentures matures infiveyearsandhasa currentmarketpriceofBr90 as againstits par valueofBr 100. b) A preference share pays 7% dividend. Par value is Br 100 per share and its currentmarketpriceis Br 80. 14. Determinethecostof capitalfor the followingsecurities. Assume40%taxrate. a) A seven-year debenture with a coupon interest of 10%. The debentures matures infiveyearsandhasa currentmarketpriceofBr90 as againstits par valueofBr 100. b) A preference share pays 7% dividend. Par value is Br 100 per share and its currentmarketpriceis Br 80.

Locations \( A, B, C \) and \( D \) are each \( d=470 \mathrm{~nm} \) trom the center of the dipole shown in the diagram beiow. The dipale consists of ions with charges \( +e \) and \( -\mathbf{c} \), scparated by a ditance af \( s=0.2 \mathrm{~nm} \). (Nate that the diag am is not drawn to scale.l A For the tollowing questions, please chacse the arrow from Locations A,B,C and D are each d=470 nm trom the center of the dipole shown in the diagram beiow. The dipale consists of ions with charges +e and −c, scparated by a ditance af s=0.2 nm. (Nate that the diag am is not drawn to scale.l A For the tollowing questions, please chacse the arrow from this diagram which best represorts the correct antiancr. 9- rero magnitude 10 - mare infarmation needed What is the direction of the electric tietd at location A? What is the direction of the electric tiedd at location B? What is the direction of the electric tield at location C? What is the droction of the clectric tiald at location D ? At a particular instant an eloctron is at location D. What is the drectian of the force on the akctron due to the dipolo?

undefined 19 If we multiply a complex number z = reis by ei', we get ei®z = re (6+0), that is, a complex number with the same r but with its angle increased by e. We can say that the vector r from the origin to the point z= x+iy has been rotated by angle e as in Figure 7.4 to become the vector R from the origin to the point Z = X +iY. Then we can write X +iY = ei®z = ei® (x + iy). Take real and imaginary parts of this equation to obtain equations (7.12).