Q.9(10 Marks ) Determine the exact value of A. log (CSC 510) ac gram - the...
1. Rewrite the following as a single logarithm: log p- (log 9-3 log y (2 marks) 2 2. Given a3x = 2 and a®) = 9, then determine an expression that represents the value of log, 18 . (2 marks) 3. A student's work to simplify a logarithmic expression as shown below, where a >1 Step 1 Step 2 2 log, ** – 3 log, x? +4log, x' log, ** – log, x° + log, x'? x Step 3 log....
2. Determine the exact formula for the following discrete models: 49yn 2 0 [10 marks each] 2. Determine the exact formula for the following discrete models: 49yn 2 0 [10 marks each]
1. Express the following expression in the form a. -tc. Use exact values only. (9 marks) a. 5(32)-2(-1) +2 b. 10(0.04) -0.5(2-1) c. 0.2(0.1)-0.52-2 -3L 안
In each case, calculate the value of Q and t that are used in the shear formula for finding the shear stress at A Part A In each case, calculate the value of Q and t that are used in the shear formula for finding the shear stress at A. 0.2 m 0.2m 0.2 m 02 m 0.1 m 0.2 m Give the exact results of your calculations. Separate your answers with a comma. m, n Submit t An Part...
Q. 2 For the beam section shown in Figure Q. 2 (a), determine: (25 marks) (a) The depth to the neutral axis of bending. (3 marks) (b) The second moment of area of the section about that neutral axis. (5 marks) If section is to be used as a beam with an overhang shown in Figure Q. 2 (b), determine: (c) The maximum tensile and compressive bending stresses that develop in the beam. (10 marks) (d) The maximum shear stress...
QUESTION 2 ITOTAL MARKS: 20)] [10 Marks] Q 2(a) An object rests on a plane parallel to the x-y plane. A 9 N force acting in the z-direction moves this object from the point (6,3,5) to the point (11,1,7), where distance is measured in meters. (a) Determine the force vector (b) Determine the displacement vector (c) Hence, determine the work done by the force on the object. Hint: Remember that work is a scalar quantity!
Determine the following ratios within their given context. Make sure that you sketch each triangle appropriately.a. Determine the exact value of given that x is in quadrant III and .b. Determine the exact value of given that y is in quadrant IV and .c. Determine the exact value of given that z is in quadrant II and https://gyazo.com/db8fdb9e992ca0a9769047701499ad67
Q.9 Water flows through the branching pipe shown in Fig. If viscous effects are negligible, determine the pres- sure at section (2) and the pressure at section (3). Az = 0.035 m 22 = 10 m Q = 1 m/s A = 0.1 m P = 300 kPa 21 = 0 V, = 14 m/s Az = 0.03 m2 2 = 0 FIGURE
Part D Without actually calculating the logarithm, determine what two integers the value of log 1.37x O9 falls between. The value of log(1.37 x 10) falls between Please Choose Please Choose 0 and 1 1 and 2 7 and 8 8 and 9 9 and 10 Submit Request Answer Part E Complete previous partís)
Q.9 8 marks bought almost immediately during the year, as available on the market. The event of a house becoming available follows a Poisson Houses in Auckland they become are process with rate A = 1 house per 4 days. (a) What is the expected waiting time for a house to become available? [2 marks] (b) What is the probability that exactly 10 houses become available in one week? [2 marks (c) Bob and Alice just won a Lotto and...