Chapter 1.3, Problem 52E

Find all the values of 1-i.

1. e² = 1+i. 2. cos z=3+ 4i Determine all complex numbers z such that

08:34 ◄ Classroom 07:59 Probs. 5-32/33 D ا. 89 5-34. Determine the horizontal and vertical components of reaction at the pin A and the normal force at the smooth peg B on the member. A 0,4 m 0.4 m Prob. 5-34 F=600 N fr th ar 0. 163586 5-37. The wooden plank resting between the buildings deflects slightly when it supports the 50-kg boy. This deflection causes a triangular distribution of load at its ends. having maximum intensities of w, and wg. Determine w and wg. each measured in N/m. when the boy is standing 3 m from one end as shown. Neglect the mass of the plank. 0.45 m 3 m

Chapter 4 Quiz 2 As always, show your work. 1) FindΘgivencscΘ=1.045. 2) Find Θ given sec Θ = 4.213. 3) Find Θ given cot Θ = 0.579. Solve the following three right triangles. B 21.0 34.6° ca 52.5 4)c 26° 5) A b 6) B 84.0 a 42° b

Let f be a function whose graph consists of 5 line segments and a semicircle as shown in the figure below. Let g(x) = √ƒƒ(t) dt . 0 3 2 -2 2 4 5 6 7 8 9 10 11 12 13 14 15 1. g(0) = 2. g(2) = 3. g(4) = 4. g(6) = 5. g'(3) = 6. g'(13)=

The expression 3 | (3+1/+1) of the following integrals? A Ов E + + + + 18 3+1+1 3++1 3++1 (A) √2×14 dx x+1 (C) 1½-½√ √ ² ( 14 ) d x (B) √31dx (D) So 3+x -dx is a Riemann sum approximation of which 5 (E) 1½√√3dx 2x+1

Examine the Variables: Carefully review and note the names of all variables in the dataset. Examples of these variables include: Mileage (mpg) Number of Cylinders (cyl) Displacement (disp) Horsepower (hp) Research: Google to understand these variables. Statistical Analysis: Select mpg variable, and perform the following statistical tests. Once you are done with these tests using mpg variable, repeat the same with hp Mean Median First Quartile (Q1) Second Quartile (Q2) Third Quartile (Q3) Fourth Quartile (Q4) 10th Percentile 70th Percentile Skewness Kurtosis Document Your Results: In RStudio: Before running each statistical test, provide a heading in the format shown at the bottom. “# Mean of mileage – Your name’s command” In Microsoft Word: Once you've completed all tests, take a screenshot of your results in RStudio and paste it into a Microsoft Word document. Make sure that snapshots are very clear. You will need multiple snapshots. Also transfer these results to the…

Q4*) (make sure you first understand question P5) Discuss the extremisation of the integral I = = √(2(y + 2) ³y' + (x − 7)) c You may find point (iv) in § 3.5 relevant. dx.

Q6*) Describe the plane paths of light in the two-dimensional media in which the light velocities are given respectively by (a) c = a/y, (b) c = a/√y, where a > 0, y > 0.