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How does the graph of y=3x^2 differ from the graph of y= -x^2?A: The graph of y= 3x^2 opens upward and is narrower.B: The graph of y= 3x^2 opens upward and is winder.C: The graph of y= 3x^2 opens downward and is narrower.D: The graph of y= 3x^2 opens downward and is wider.
Find the diameter of an 18 m (L) long steel wire that will stretch no more than 9 mm(∆L) when a load (stress) of 3800 N is hung on the end of the wire. The Young’s Modulus for steel wire is 200 x 109 N/m2
1.9.given A "\\begin{bmatrix}\n 1 & 1& -1 \\\\\n 2 & 2 & 3 \\\\\n 4 & 0 &0 \\\\\n \n\\end{bmatrix}" B="\\begin{bmatrix}\n 1 & 1 & -1 \\\\\n 2 & 2 & 3 \\\\\n 4 & 0 & 0 \\\\\n\n\\end{bmatrix}"
1.9.1. find -A -1 +3BT
1.9.2. Find B-1+(AT+A-1)
The heights of male are normally distributed with mean of 170 cm and standard deviation of 7.5cm. Find the probability that a randomly selected male has a height > 180 cm.
Customers arrive at a shopping mart randomly at a rate of 7 per hour.
a) Find the probability that during any 90 minutes’ period, the number of customers arriving at the shopping mart is exactly 8.
b) If a customer arrives at 11.30 am, find the probability that the next patient arrives before 11.45 am.
A glass in a fixed container is at a pressure of 4 atm and a temperature of 27 0C. What will be the pressure if it is heated to a temperature of 177 0 C?
40 cm 3 of an ideal gas at a temperature of 27 0 C is heated to 227 0 C in a freely expandable vessel. Determine the new volume of the gas.
A gas at a temperature of 127 0C is heated in a freely expandable container until its volume doubles. What is the new temperature of the gas?
A bubble rises from the bottom of a lake 30m deep and is four times its original volume just before breaking the surface. If the temperature is constant and the pressure at the bottom of the lake is p, what is the pressure at the water surface?
A bicycle pump of volume 72 cm3 is filled with air at a pressure of 0.1 MPa. The volume is reduced to 30 cm3. No air leaks from the pump and the temperature stays constant. Calculate the pressure of the compressed air.
