Using natural logs allows us to plot multiple functions with different powers on the same plot, as shown below. The four functions, A through D, are represented in the figure below. The horizontal axis is Ln(t), the vertical axis is the Ln(function). A table summarizing the equation and the linear fit is given below the table.

QUESTION 2 Which of the following is an accurate statement? O A. It is possible to add a scalar quantity to a vector. O B. Even though two vectors have unequal magnitudes, it is possible that their vector sum is zero. OC. Rotating a vector about an axis passing through the tip of the vector does not change the vector. OD. The magnitude of a vector is independent of the coordinate system used. O E. The magnitude of a vector can be zero even though one of its components is not zero.

Question number 1 and 2 can you show how to calculate to solve ? Here’s the hint for the formula

Insert your solution here (use equation editor) Write your answer here with the correct units: (a)

Consider the following kinematics equation: V²₁ = V² + 2ax where Vf and V are both representative of velocities with units of [m/s], determine the proper units of 2a4x (the second term on the right-hand-side of the equals sign), such that the equation obeys the principle of dimensional homogeneity. (Include square brackets around your final answer). Typo NO

If we have stabdard deviations for x and y data and we have mean values for x and y, how can we evaluate the standard deviation of (1-x/y).m ? (m is a constant value).

A group collected data in an experiment to learn to draw suitable trendline in a graph. They don't know the theoretical model, so they are trying to determine one through this experiment. They used Excel to display the data and to find good fit. They tried linear, exponential, and power trendlines. The result of each trial is shown below. The title of the plot contains the name of the trendline used to fit. What should be their analysis based on the result they have so far? Exponential trendline 20 Power trendline 18 y = 0.8374e047x R? = 0.9851 16 y = 0.8045x1.538. R2 = 0.981 15 14 12 10 10 ..... 4 ..... ....... 2 1 3 4 1 7 Linear trendline 20 y = 3.0209x - 4.6606 15 R? = 0.9293 10 ........ 2 4 6 8 The linear trendline is good fit The exponential trendline is good fit Any one of the three trendlines seems good candidate The power trendline is the best fit 2. 2.

In the following equations, the letters b, c, d, fand g are constants. Find the SI units of each constant. Equation: Units of Show work here: b: c: a. position: x(t) = bt* + ct³ + dt² + ft + g, where t is time d: f:. b: b. displacement: y(x,t) = b cos(cx – dt), where t is time and x is position d: b: C. current: I(t) = be-et, where t is time and / is current, measured in amperes (symbol A) c:

PLEASE CHECK THE ATTACHED ANSWER TO THE PROBLEM. Please make sure you're qualified to answer this question. THE DENOMINATOR SHOULD NOT BE CUBED THAT IS INCORRECT!! Whomever is doing that in their answer is wrong. PLease make sure you double check your work and answer my question. Is the attached answer CORRECT. IF IT IS NOT CORRECT. PLEASE MAKE SURE TO CALL OUT THE MISTAKE.  PLEASE DO NOT SKIP ANY STEPS. PLEASE ANSWER THIS QUESTION COMPLETELY. PLEASE MAKE NOTES WHERE APPROPRIATE. PLASE DOUBLE CHECK YOUR WORK. DO NOT CUBE THE DENOMINATOR THAT IS INCORRECT.

In part a, Why does your I go from from 4.54 x 10^-4 to 4.66 x 10^-4 in the final equation?