Question: Please help me with my calculus work. I need help with all pages and please show work Review Problem Set 1. Vector u has initial
Please help me with my calculus work. I need help with all pages and please show work




Review Problem Set 1. Vector u has initial point (3, 6) and terminal point (-4, 9) and vector v = (3, 6). Determine each of the following. Give answers correct to three decimal places. a. Component form of ui: b. Component form of u + v: C. Magnitude of u: d. Direction angle of u: e. Angle between u and v: f. Graph and label on the grid the vectors: u, v, and u + v. 22. Forces M and N are acting on an object so that [M| = 18, 8, = 1080, [N| = 27, and ON = 1890, where Of is the direction angle of M and ex is the direction angle of N. If F is the resultant force on the object, determine the component form of F, its magnitude, and direction. Give coordinates correct to three decimal places. You may choose to use the grid to help with a sketch. Component form of F: Magnitude of F: Direction angle of F: 33. Find a parametrization of the line through the paints A = (2, a) and a = (a, a}. 4. Eliminate the parameter and graph the parametric curve. x=12t, y=2t 5. Eliminate the parameter and graph the parametric curve x=e05t, y=sint E. A woman launches a boat from one shore of a straight river and wants to land at the point directly:r on the opposite shore. It the speed of the boat in still water is 15 mph and the river is flowing east at the rate of s mph, in Iil'Il'hat direction Shduld she head the boat in order to arrive at the desired landing point? 1". Two forces, F1 and F2 with magnitudes s and 2:1 ms, respectively, act on an object at a point P. The direction angle or F1 with the ground is :15\" and of F212o. Find the resultant force {vector sum} acting on point P. Round the 1urector components to the nearest integer
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