1 / 15

The 50 questions in 50 minute Challenge

The 50 questions in 50 minute Challenge. Are you in the IBZ? (that would be IB Zone ). #1- #5 are non-calc. 1) Can you find the inverse of y = 4e x-3 ? 2) What is the vertex-ready form for f(x) = 2x 2 – 5x + 12 ? 3) What are the x-intercepts for the function

Download Presentation

The 50 questions in 50 minute Challenge

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. The 50 questions in 50 minute Challenge Are you in the IBZ? (that would be IB Zone)

  2. #1- #5 are non-calc • 1) Can you find the inverse of y = 4ex-3 ? • 2) What is the vertex-ready form for f(x) = 2x2 – 5x + 12 ? • 3) What are the x-intercepts for the function y = 3cos(2x) + 1.5 for [ - π, 2π] ? • 4) The functions y = 2x and y = x2 form a region that has an area of _________. • 5) Find the probability that exactly 5 questions out of 8 questions will be answered correctly, assuming a student guesses on each question, each of which has 4 choices.

  3. #6 - #10 non-calc • #6) On a calculus test with 6 questions each having 5 choices a student randomly selects a result for each. Find the probability that exactly 3 of them will be correct. • #7) The vector 3i + 5j – 6k is perpendicular to the vector 4i – aj + 2k. Find the value of a. • #8) Find the second derivative for y = elnx2 • #9) Derive the rate of change for y = 1/x using the definition of the derivative. • #10) X is normally distributed with a Mean of 46 and a standard deviation of 6. Find P(34 > xi or xi > 61).

  4. #11 - #15 Calc ?

  5. #16 - #18 Calc ? • 16) What is the inverse of ? • 17) If sinθ = -3/5 with θ in Q4. Find cos (2 θ). • 18) Given a central angle of 2.1 radians w/ r = 8cm, then find the area of the segment. 2.1

  6. #19 Find Area 32° 32° 100 m • 19)

  7. #20 - 23 • 20) Solve the equation for the values of θ, correct to the nearest 10th of a degree for [0, 2θ]: 24sin(2 θ) + 10cos θ = 0 • 21) P(z > a) = .994 ; find a • 22) A sequence of terms 4, 6.5, 9, ….. has a sum of 74. How many terms are there? • 23) 8 + 6 + 4.5 + 27/8 + ……will approach what value ?

  8. #24 - 26 • 24) Find the area between the x –axis and the y = cos 3x curve for [ 0, 2π/3] • 25) Find d2y/dx2 @ x = e for y = (2x + 2)5 • 26) (3,3) Find (8, -2) (6,0) (8, 0)

  9. #27 - 30 • 27) Find the frequency, period, and amplitude for the function defined by f(x) = -3sin(4x) + 6 • 28) For the function named in #27 transform f(x) such that it is translated by the vector . What is the name of the new function? • 29) If f(x) has a first derivative at x = 3 of -2 and a second derivative of 0 at x = 3, sketch two possible curves near x = 3 that would support the derivative data. • 30) A line passing through (3, 5) and (-6, 2) can be named in vector form r = p + td. Do so.

  10. #31 - 35 • 31) Find the dot product of 2i – 4j + 6k and 3i – 2j + k and find the angle between the vectors. • 32) g(x) = 3x – ex and h(x) = 4/x; Find(g ºh)(4) • 33) Form the inverse of g(x) = 3ln(x + 3) • 34) Find the third quartile value for a class set of calculus grades where 9 students got a 93, 6 got a 90, 5 received a 96, and 2 students received a grade of 84. • 35) What is the local minimum value for xex ?

  11. #36 - • Find the values for the following table:

  12. #37 - 40 • 37) Find the other 5 trigonometric values for the angle θ, given that sec θ = -4/3 and θ is in quadrant III. • 38) P (Q U L) = .9 with P(Q) = .7 and P(L) = .6; Determine if Q and L are independent events. • 39) Determine whether the two vectors 4i – 3j + 6k and 8i – 6j + 12k are parallel. • 40) How many triangles can be formed from sides of AB = 10 cm, BC = 8 cm, and m A = 30º ?

  13. #41 - 45 • 41) Sketch -2f(x – 3) knowing that f(x) = (x + 2)2 + 4 • 42) (3x + e2x + sin(3x)) dx • 43) (3x-1 + e-2x + cos(3x)) dx • 44) Represent in the form a + • 45) Find the exact sum of the first 12 terms of the sequence defined as 2, -3, 9/2, -27/4, ……, u12

  14. #46 – 49, Almost the End !!! • 46) cos x = m + 3 and sin x = m – 3; Find csc(2x) • 47) Find dy/dx at x = 2.4 for y = sin x / (x – 1) • 48) Sketch the velocity function from s(t) = t3 + 4 • 49) A probability density function has outcomes as listed with probabilities in the table below: FIND E(X)

  15. #50 • Find the 50th (how appropriate) derivative of cos(50x) • HAVE A GREAT AFTERNOON !!!

More Related