OC userin Mathematics·5 Jun 20184. (18 pts) Show your work. Suppose s (t) = t2+5 is the position of an object moving along a line at time to. (I) Find the instantaneous velocity, Vinst (t), at t = 2. (II) Alternatively, we can find Vinst (2) by following the steps below : STEP 1 : Find the average velocity, Vav (h), if - 1
OC userin Mathematics·7 Jun 20184. Each side of a cube is increasing at a rate of 5 cm/s. At what rate is the volume of the cube increasing when the volume of the cube is 8 cm?
OC userin Mathematics·6 Jun 20189. The equation of the tangent line to the curve given by r’y+e" = x at the point (1, 0) is given by A) y=x-1 B) y=- C)y=21–1 D) y=! E) none of these
OC userin Mathematics·5 Jun 20189. (5 points) A left hand sum of B() over (2,6) gives an under estimate of B(x)dt d. O True False B(x)10 1 2 3 4 5 6
OC userin Mathematics·6 Jun 2018PROBLEM 20: A school Science Fair team will consist of two male students, two female students, and one "alternate". The alternate can be of either sex. There are four males (including Ted) and five females (including Vanessa) trying out for the team. A Team Roster is a list of the five students chosen, without mention of which one of the five will be the alternate. If the five students are chosen randomly from among the nine trying out, find the probability that the Team Roster contains both Ted and Vanessa. A) 8/25 B) 2/25 C) 2/9 D) 3/10 E) none of the above
OC userin Mathematics·4 Jun 2018(k) At x = 0, which of the following is true for the function f(x) = x2 +e-2x? (A) f is increasing (B) f is decreasing (C) f is discontinuous. (D) f has a local minimum. (E) f has a local maximum. Answer:
OC userin Mathematics·5 Jun 20188. The functionf: RxR+RXR, f(x,y)=(x+y, 2y) is • a bijection. • a surjection but not an injection. • an injection but not a surjection. • neither a surjection nor an injection.
OC userin Mathematics·5 Jun 2018(c) Is your approximation for 7 too large or too small? Explain. Use this information together with the error bound you found in part (b) to construct the smallest interval you can guarantee contains the true value of 7.
OC userin Mathematics·5 Jun 201815. Given w= 2, X= 5+t and y=st, then when s=1=-1 will be 00 E) none of these
OC userin Mathematics·5 Jun 2018the course meant to be a lume (10) 16 – 2 ve 30 i en los 14. (5 points) The average rate of change (AROC) of f(x) = x2 over [3,3.01) is given by which of the following. O 0.01 01 03 06.01 09 09.06
OC userin Mathematics·2 Jun 20188. Given the demand equation q' (1+p)2 = p, the point elasticity of demand 11 when p=9 is Note: "=()/m= A) +1 B)-1 B)-1 C) -2 D)-0.2 E) none of these
OC userin Mathematics·3 Jun 20181 1 7. It is known that 25% of first year university students do not know how to solve a quadratic mark equation. Ten first year university students are chosen at random. What is the probability that at least one of the chosen students does know how to solve a quadratic equation? A: 0.75 (0.25) C: 1 - (0.75) 10 D: 1 - (0:25)10 | E-1 - (1°) (0.75)'(0.25)