Question Solved1 Answer Carry out the following arithmetic operations. (Give your answers to the correct number of significant figures.) (a) the sum of the measured values 756, 37.2, 0.83, and 2 4.07*10**2 X Your response differs from the correct answer by more than 10%. Double check your calculations. (b) the product 0.003 2 x 356.3 4.0 1.1 (c) the product 5.620 XT 4.9 1.7*10 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mis minimize roundoff error.

Analyze the graph below to answer the following questions. 4 Velocity (mis) Time (s) -7 -8 Calculate the acceleration of the object during the four different sections of the graph. Section 1, from 0-2 s a = -1.5 x unit m direction: backward/negative Section 2, from 2-4 s a = unit m direction: no direction, its not accelerating - Section 3, from 4-6 s a = unit m direction: backward/negative Section 4, from 6-10s a = unit m direction: no direction, its not accelerating -

The following data are the response times in seconds for n = 25 first graders to arrange three objects by size. 501 3.7 5.5 3.9 3.5 4.3 4.1 4.3 4.6 4.1 3.3 2.7 2.9 4.6 4.8 3.4 3.8 4.9 5.2 4.1 4.7 3.2 4.4 3.6 5.4 (a) Find the mean and the standard deviation for these 25 response times. (Round your standard deviation to three decimal places.) mean sec standard deviation sec (b) order the data from smallest to largest. Enter your answers as a comma-separated list.) (c) Find the Z-scores for the smallest and largest response times. (Round your answers to two decimal places.) smallest largest Is there any reason to believe that these times are unusually large or small? Explain. Since neither of the z-scores are greater than 3 in absolute value, the measurements are not judged to be unusually large or small. Since the z-score of the largest value is greater than 3 in absolute value, the largest value is unusually large. The smallest value is not unusual. O Since both 2-scores are greater than 3 in absolute value, the measurements are judged to be unusual. Since the Z-score of the smallest value is greater than 3 in absolute value, the smallest value is unusually small. The largest value is not unusual.

(1 point) Use the given graph of the function f to find the following limits. If a limit does not exist, type "DNE". UP 1.0 1. lim f(x) = DNE X-2 2. lim f(x) = DNE 3. lim f(x) = x+2 DNE 4. lim f(x) = -1 5. f(0) = -1

4.3 The following data are the response times in seconds for n = 25 Grade 1 students to arrange three objects by size: 5.2 3.8 5.7 3.9 3.7 4.2 4.1 4.7 4.3 3.1 2.5 3.0 4.4 4.8 3.6 3.9 4.8 5.3 4.2 4.7 3.3 4.2 3.8 5.4 a. Find the mean and the standard deviation for these 25 response times. Given that { x = 454.810 (4 marks) b. Order the data from smallest to largest. (2 marks) c. Find the Z-scores for the smallest and largest response times. Is there any reason to believe that these times are unusually large or small? Explain. (4 marks)

(a) According to Eq. 8 and 9, compute the gradient of g(W) withrespect to W. Your result should be in the form of X, Y, and W. TE 9(W) = {(x?W – y.) (7) = ||XW - Y113 = (XW-Y)'(XW-Y) (8) (9)

An electric motor rotating a workshop grinding wheel at a rate of 203 rev/min is switched off. Assume constant angular decel- eration of magnitude 2.02 rad/s². Through how many revolutions does the wheel turn before it finally comes to rest? Answer in units of rev. 1. 5.00675 28.82961 3. 14.2052 4. 11.3377 5. 10.6677 6. 17.8028 7. 6.52588 8. 13.4902 9. An electric motor rotating a workshop grinding wheel at a rate of 203 rev/min is switched off. Assume constant angular decel- eration of magnitude 2.02 rad/s². Through how many revolutions does the wheel turn before it finally comes to rest? Answer in units of rev. 1. 5.00675 28.82961 3. 14.2052 4. 11.3377 5. 10.6677 6. 17.8028 7. 6.52588 8. 13.4902 9. 14.7782 10. 16.7567