A. 9QuadI AuadI Quad. D.Quad. IV4 ·Clockwise Sketch each angle of rotation, A and its reference...
(1 point) Match each linear transformation with its matrix. A. Contraction by a factor of2 B. Rotation through an angle of 90 in the clockwise direction C. Projection onto the y-axis D. Reflection in the y-axis E. Rotation through an angle of 90° in the counterclockwise direction -1 0 0.5 0 0 0.5 0 -1 F. Reflection in the r-axis 0 -1 (1 point) Match each linear transformation with its matrix. A. Contraction by a factor of2 B. Rotation through...
(a) Let T: R2 + R2 be counter clockwise rotation by 7/3, i.e. T(x) is the vector obtained by rotating x counter clockwise by 7/3 around 0. Without computing any matrices, what would you expect det (T) to be? (Does T make areas larger or smaller?) Now check your answer by using the fact that the matrix for counter clockwise rotation by is cos(0) - sin(0)] A A= sin(0) cos(0) (b) Same question as (a), only this time let T...
please show step by step dt) in terms of the naumber of Shawna instead starts at the position shown of a rotation counter-clockwise position) and the Ferris wheel rotates counter-clockwise. a. After the Ferris wheel rotates through height above the ground? Write an expression that represents and then provide a decimal approximation of her height above the ground ing the sine recommend drawing a diagram of each situation first i· radians from the 3 o' elock each of the following...
Q-8 A frame UB was moved along its own n-axis a distance of 5 units and then rotated about its o-axis an angle of 60, followed by a rotation of about the z-axis; it was then translated about its a-axis 3 units and finally rotated about x-axis 45° a) Calculate the total transformation performed. b) What angles and movements would we have to make if we were to create the same location and orientation using Cartesian and RPY configurations? Q-8...
6. Find the reference angle θ , and θ sketch and e in standard position. 160 7. Using the figure below, if -20° and y-16, determine the exact value of r 8. Use the given values to evaluate Gif possible) two tri ns to find tan, and cscp 10 cotp- 9. Find the exact values of the six tr ions of the angle θ for each of the two triangles. 7.5 15 10. equilibrium of an oscillating weight suspended by...
1. Each of 60 students was asked to draw a 20° angle without using a protractor. The size of each angle drawn was measured. The results are summarised in the box plot below 10 20 30 40 50 size of angle (a) Find the range for these data. (b) Find the interquartile range for these data. The students were then asked to draw a 70° angle. The results are summarised in the table below Angle, a, (degrees) Number of students...
Use Web Mo for (pyrazine (C4H4N2)) Point group is D2h (a) Identify and clearly sketch by hand the symmetry elements of the molecule. (b) Calculate the number of degrees of freedom and number of vibrations for the molecule. (c) Determine how the degrees of freedom of the molecule are distributed amongst the irreducible representations of the point group show clearly all your working. (d) Subtract the translations and rotations and hence determine how the normal vibrations of the molecule are...
3. 3. State the magnitude and direction of each of the vectors given below. a) r-30 m (displacement vector) b) v 60 m/s west (velocity vector) c) F-20N at-45° (force vector) d) p50 kg /s at 25° (linear momentum vector) 4. Provide a graphical example of a 1-dimensional vector (ID) and one of a 2- dimensional vector (2D). Be sure to include reference axes with labels in each case. 5. 1D Vectors. Let vector A +3 units and let vector...
5. 3. State the magnitude and direction of each of the vectors given below. a) r--30 m (displacement vector) b) v 60 m/s west (velocity vector) c) F 20 N at-45° (force vector) d) p50 kg m/s at 25° (linear momentum vector) 4. Provide a graphical example of a 1-dimensional vector (ID) and one of a 2- dimensional vector (2D). Be sure to include reference axes with labels in each case. 5. 1D Vectors. Let vector A +3 units and...
Better Bottles, Inc. uses a periodic inventory system and has provided its current inventory information. The Controller has as you to prepare a comparison of the Ending Inventory and Cost of Goods Sold totals for three different inventory costing methods: Periodic FIFO, LIFO, and Weighted-Average. Use the information included in the Excel Simulation and the Excel functions described below to complete the task. • Cell Reference: Allows you to refer to data from another cell in the worksheet. From the...