Questions asked
1. Suppose two countries start with the same real GDP per capita, but Country A is growing at 2% per year and Country B is growing at 3% per year. After 140 years, Country B’s GDP per capita will be _____ larger than Country A’s. Show all your workings. ** Hint: There is more than 1 way to calculate the answer. ** (4 marks)
Given the following matrices. $[A] = \begin{bmatrix} -1 & 3 \\ 0 & -6 \\ 5 & -5 \end{bmatrix}$ and $[C] = \begin{bmatrix} 5 & 7 \\ 1 & -7 \end{bmatrix}$ Find $[A] \cdot [C]^T =$
The order of mechanism steps would be: Abbreviations: Proton Transfer (PT), Loss of Leaving Group (LLG), Carbocation Rearrangement (CR), Nucleophilic Attack (NA) 1st PT, 2nd NA 1st NA, 2nd CR 1st NA, 2nd PT 1st PT, 2nd LLG 1st PT, 2nd CR
"Please Excuse My Dear Aunt Sally" (PEMDAS) is a popular way for math teachers to help their students remember the order of operations (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). This is an example of elaborative rehearsal. using peg-words. a mnemonic device. chunking
The gas mileage of a certain car is 22 miles per gallon when driven on the highway. If the car begins with 8 gallons of gas in the tank, which function predicts the amount of gas remaining in the tank, \( f(d) \), after the car is driven \( d \) miles on the highway?
Two blocks, m₁ and m₂, are stacked on a frictionless table. The mass of the top block, m₂, is greater than the mass of the bottom block. A constant force F is applied to m₁. The two blocks remain stacked as they accelerate together to the right, and the top block does not slip relative to the bottom block. m2 m2 > m1 m1 F m1 Which of the following statements about this situation is TRUE? The normal force by m₁ on m₂ is greater than the normal force by the table on m₁. There is no friction present in this situation. The weight of m₂ forms a Newton's Third Law pair with the normal force by m₁ on m₂. The net force on m₂ is zero. The net force on m₂ is greater than the net force on m₁.
c) for each of the following applications, which software life cycle model would you use? Describe the factors that led to your selection of a certain life cycle model.software that would function as a controller of a telephone switching system
Compute the arc length function $s(t) = \int_a^t ||r'(u)|| du$ for $r(t) = (2\sqrt{10}t^{1/2}, \ln(t), 5t)$ $a = 1$ (Use symbolic notation and fractions where needed.) $s = $
Part A Consider the circuit shown in (Figure 1). Suppose that v1 = 55 V and v2 = 22 V. Use the mesh-current method to find the power developed in the dependent voltage source in the circuit. Express your answer to three significant figures and include the appropriate units. pdev = Value Units -3v? 14 ? 2 ? 3 ? 5 ? 1 ? v1 v2 v?
Draw the auxiliary views of plane ABC. and get the true size of plane ABC.
