Write the answers Quiz 4 a), b), c) etc

Quiz 4 Math 125 Fall 2023 Instructions. Try to take this quiz in a "test like format" (i.e. no calculators, books, etc.), and give yourself a 20 minute time limit. Remember, the quiz is graded on completion only; the main point is for you to get an idea of if you're able to do these sorts of problems under the time and resource restrictions that will be present in an actual exam. Good luck! Problem 1 (5 points). Compute the derivative f'(x) of the function f(x) - 3x2 using the differ- ence quotient definition of the derivative (don't use the product rule). Problem 2 (5 points). (a) Using any method you want, calculate the derivative of the function h (t ) = 2+3 - 3+2 + 4Vt. at t = 4. (b) A racecar is set on a straight track, and begins driving at time t = 0 seconds. At each time t > 0 seconds, the position of the racecar is ac (t ) = t+ +1/3 + 5+1/5. meters beyond the start point x = 0. What is the velocity of the racecar at time t - 1? Quiz 5 Math 125 Fall 2023 Instructions. Try to take this quiz in a "test like format" (i.e. no calculators, books, etc. ), and give yourself a 20 minute time limit. Remember, the quiz is graded on completion only; the main point is for you to get an idea of if you're able to do these sorts of problems under the time and resource restrictions that will be present in an actual exam. Good luck! Problem 1 (5 points). Compute the derivatives of the following functions. (a) f(z) = e5 sin(I) (b) q(t) = 1 1+t (c) g(u) = cos(u)sin(u?) Problem 2 (5 points). Find the equation of the tangent line to ye2x - 202 = 3y at the point (0, 3). (Hint. Use implicit differentiation.)