\f[ 2 Decompose v into two vectors v; and v, where vy is parallel to w and v, is orthogonal to w. O O O O O O O 3. Solve the problem. Round your answer to the nearest tenth. A person is pulling a freight cart with a force of 48 pounds. How much work is done in moving the cart 80 feet if the cart's handle makes an angle of 18 with the ground? 3652.1ft-lb 118.7 ft-b 1186.6 ft-lb 3741.6 ftlb W 4. Solve the problem. All changes saved The amount of energy collected by a solar panel depends on the intensity of the sun's rays and the area of the panel. Let the vector I represent the intensity, in watts per square centimeter, having the direction of the sun's rays. Let the vector A represent the area, in square centimeters, whose direction is the orientation of a solar panel. See the figure. The total number of watts collected by the panel is given by W= II . Al. Suppose I = (-0.06 -0.05) and A = (200, 400) (1) Find ) and All and interpret the meaning of each; (ii) Compute W and interpret its meaning; (ill) If the solar panel is to collect the maximum number of watts, what must be true about I and A? O (1) ) = 0.033; the intensity of the sun's rays is approximately 0.033 W/cm. All = 346; the area of the solar panel is approximately 346 cm2. ii) W = 34; 34 watts of energy is collected. (iii) Vectors I and A should be orthogonal with the solar panels at a 45 angle to the sun. () = 0.078; the intensity of the sun's rays is approximately 0.078 W/cm. All = 447; the area of the solar panel is approximately 447 cm2. (ii) W = 34; 34 watts of energy is collected. (iii) Vectors I and A should be parallel with the solar panels facing the sun. (1) ) = 0.078; the intensity of the sun's rays is approximately 0.078 W/cm. All = 447; the area of the solar panel is approximately 447 cm-. (ii) W = 32; 32 watts of energy is collected. (iii) Vectors I and A should be parallel with the solar panels facing the sun. (1) = 0.006; the intensity of the sun's rays is approximately 0.006 W/cm. All = 200,000; the area of the solar panel is approximately 200,000 cm2. (ii) W = 32; 32 watts of energy is collected. (iii) Vectors I and A should be perpendicular with the solar panels at a 90 angle to the sun.5. The parametric equations of four curves are given. Graph each of them, indicating the orientation. C1: X = 7sin t, y = 7 - 7cos2 t; T sts 3nt C2: x = Int, y = Int2; estse3 C3: X = 12 - 8, y = t -3; -4sts 4 C4: X = t - 5, y = t+2; -4sts7