Question Solved1 Answer 7. Find the length of the path of \( c(t)=(1+2 t, 2+4 t) \) over the interval \( 1 \leq t \leq 4 \). Do this using: (a) The arc length formula. (b) High school geometry. 7. Find the length of the path of c(t)=(1+2t,2+4t) over the interval 1≤t≤4. Do this using: (a) The arc length formula. (b) High school geometry.

Cable AC is 70 ft long, and the tension in that cable is 5250 lb. Determine (a) the x, y, and z components of the force exerted by the cable on the anchor C, (b) the angles θx, θy, and θz defining the direction of that force. 56 ftD.20°50

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).

Problem 5 6/9 points (graded) An alpha particle, consisting of two protons and two neutrons, is located at < -32,0,0 > nm and produces an electric field in all of space. A neutral Krypton atom, with polarizability a = 5.0 * 10–39 oʻm is brought to the location < 14,0,0 > nm. What is the resulting dipole moment ſ that the Krypton atom attains? (Recall the relationship between an applied electric field and the resulting dipole moment is praĒ). Please answer as a vector in Coulomb meters. 0 0 0 C*m X ✓ ✓ 0 0 0 Since the neutral Krypton atom is polarized, it produces an electric field. In fact, the electric field that it produces looks like the field of an electric dipole, whose magnitude is given by lĒnasial = 2.pl. Compute the vector electric field due to the polarized Krypton atom at the position of the alpha 460 particle. Please answer as a vector in Newtons per Coulomb. 0 0 0 * 2 X ✓ 0 0 0 What is the net force exerted on the alpha particle? Please answer as a vector in Newtons. 0 0 0 IN 2 2 X ✓ ✓ 0 0 0