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If $f(x) = \frac{x^4+5}{x^3+3x^2+4x}$, what is $\lim_{x\to\infty} f(x)$. If you plug-in $x = \infty$ into $f(x) = \frac{x^4+5}{x^3+3x^2+4x}$ as is, then you get: $\frac{\infty}{\infty}$ As $x \to \infty$, what term in $f(x)$ dominates: To find $\lim_{x\to\infty} \frac{x^4+5}{x^3+3x^2+4x}$, we need to divide the numerator and the denominator by: What is $\lim_{x\to\infty} f(x) = \lim_{x\to\infty} \frac{x^4+5}{x^3+3x^2+4x}$:

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Carry out the below mathematical operations, and give the result to the correct number of significant figures $1.012 \times 10^3 + 1.2 \times 10^3$ $2.2 \times 10^3$ $2.2 \times 10^4$ $2.3 \times 10^3$ $2.3 \times 10^4$ $2.0 \times 10^3$

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Witchcraft and magic are negative forces in African religious traditions. Within traditional religions, magic is designed for what purposes?

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Question 18 1 pts Scott and Kristine have decided to live together after dating for a couple of months. Based on research, which of the following becomes more likely once they start living together? They experience physical aggression positive communication frequent sexual intercourse less commitment

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Consider the component C = 0.475 pF and design it by finding the following design parameters using Richard’s transformation at frequency f = 7 GHz. Find the required length of the transmission line (L) in cm. Find the characteristic impedance of the line (in ohms).

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Question 24 \( 5 \mathrm{pts} \) For a city parade, the organizers originally estimated they needed about 5200 water bottles for the crowd of 3000 people. Now, they estimate that about 4700 people will come. How many water bottles should they prepare? Write ONLY your answer(s) in the box below. On your own paper, show all your work and justify your answer(s). You will be submitting the paper at the end of this test. Edit View Insert Format Tools Table \( 12 \mathrm{pt} \vee \) Paragraph \( \vee B \quad I \underline{U} \quad \underline{A} \vee \underline{Q} \vee T^{2} \vee \quad \vdots \) I

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Evaluate the limit: lim_(x->7)(x^(2)+3x-18)/(-7x+49) 2318 Evaluate the limit: lim 749

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Exercise 1: Complete this program by filling in the code (places in bold). Note: use only pointer variables when instructed to by the comments in bold. This program is to test your knowledge of pointer variables and the & and * symbols. Exercise 2: Run the program with the following data: 10 15. Record the output here .

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(a) Use neat sketches to illustrate the following lathe operations: (i) Facing a 300 mm diameter aluminium alloy pulley (ii) Machining a 450 \times 3 mm chamfer on a mild steel bar (3 marks) (3 marks) NB: Each sketch should show the workpiece and tool, rotation of workpiece, direction of feed, and direction in which the chips will flow. (b) List the steps of procedure to face a 50 mm diameter steel bar. (4 marks) (c) State the difference between a faceplate and a driveplate. (2 marks) (d) Figure 2 shows two views of a lathe turning tool. A B C D Figure 2. Lathe turning tool angles (i) In your answer booklet, name the angles indicated by the letters A, B, C, D. (4 marks) (ii) State the difference between the function of angle 'A' and angle 'B'. (2 marks) (c) State TWO precautions to be observed while working on the lathe. (2 marks)

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Consider two containers. The first container has volume V? and contains N? oxygen atoms at temperature T. The second container has volume V? and contains N? nitrogen atoms, also at temperature T. The two containers are now connected so that particles can freely move. (a) Find the pressure and entropy of the system (b) Find the pressure and entropy of the system, if both containers had oxygen initially.

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