MATH 108 Quiz 3 Name Click here to enter text. This quiz is worth 40 points. Questions 1 - 4 are each worth 4 points; do not show your work. Questions 5 - 8 are each worth 6 points; show your work to earn full credit. Write answers on the appropriate numbered blank. You can insert additional lines if needed. Leave answers in exact form unless otherwise directed to approximate the results. Write all fractions in lowest form. Round decimals to hundredths unless otherwise directed to round. Write answers using positive exponents except when using scientific notation. Simplify all radicals and rationalize the denominators. Write complex numbers in the form a + bi. Applied problems must have the variables identified (Let x =) and an equation for full credit. Select the letter of the one alternative that best completes the statement or answers the question. Check that the answers are all letters (A, B, C, D, or E) and not a value. 1.) Convert (2, 23) to polar coordinates. Express the answer in radians, using the smallest possible positive angle. 1.) _______ A) 2.) (2, 11 6 B) ) (4, C) ) (2, 5 3 ) B) -57 B) 2 + 2 = 4x + 8y E) None of these C) 129 D) (4, 5 6 E) None of these ) r - 4 cos = 8 sin Find the dot product, u v, for the given vectors. A) -3 4.) 6 Convert to a rectangular equation. A) 4x + 8y = 0 D) 2 2 = 4x + 8y 3.) 11 D) -23 2.) _______ C) 2 + 2 = 8x + 4y = 9, 6, = 7, 11 E) None of these Two forces of 452 newtons and 274 newtons act at a point. Find the angle between the forces. 3.) _______ The resultant force is 535 newtons. 4.) _______ A) 91.6 B) 163.4 C) 88.4 The following questions are each worth 6 points. 5.) D) 59.3 E) None of these Show your work. Find the component form of the vector with = 43 when drawn in standard position in Quadrant II and makes a 30 angle with the positive y-axis. Give exact values. lies 5.) _______ 6.) Convert (5, 135) from polar coordinates t rectangular coordinates. 6.) 1 ________ 7.) Find the vector projection of onto given that = 24 + 7 and = 3. 7.) 8.) Use any graphing calculator and graph = 3(cos3 ). 2 _________ Copy and paste the graph here