Numerade

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Problem 9 (Problem 2-87) (15 points) Express force $\vec{F}$ as a Cartesian vector; then determine its coordinate direction angles. (Answer: $\vec{F} = (59.4 \hat{i} - 88.2 \hat{j} - 83.2 \hat{k}) lb$ $\alpha = 63.9^\circ, \beta = 131^\circ, and \gamma = 128^\circ$) Solution

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Identify a true statement about pain receptors. A. They differ anatomically for different physical stimuli. B. They have a much higher threshold for firing than receptors for temperature. C. They are present only in muscle fibers and joints. D. They have a much lower threshold for firing than receptors for touch.

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Which of the following boxes is checked in the heading of the Form 1041? A. Decedent's estate B. Simple trust C. Complex trust D.Grantor type trust

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2. Slove the initial value problem: $u_t = 3u_{xx}$, for $0 < x < 2$ and $t > 0$ $u(0, t) = u(2, t) = 0$, for all $t > 0$ $u(x, 0) = 20$, for all $0 < x < 2$

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The reappearance, after a time lapse, of an extinguished CR is called:

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Question 11 (1 point) At the final exam in a statistics class, the professor asks each student to indicate how many hours he or she studied for the exam. After grading the exam, the professor computes the least-squares regression line for predicting the final exam score from the number of hours studied. The equation of the line is $\hat{y} = 37 + 6.21x$. Scan studies 4 hours longer than Jeremy did. How much higher do you predict Sean's score to be? 24.84% 48.2% 12.2% 14.2%

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Write the general formula for following alternating series in the form $\sum_{n=1}^{\infty} a_n$. $\frac{8}{3} - \frac{8}{4} + \frac{8}{5} - \frac{8}{6} + ...$ $a_n = $

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10 5 points Recall the function introduced in class: $\pi(x) = \{p \mid p \text{ is prime and } p \le x\} \mid$. Prove that for all positive integers $n$, $\pi(n) \ge \log_2 n$.

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Determine the steady-state current, $i(t)$, for the circuit shown in Figure 1 5 H 5 mF 20 ? 2 mF 30 ? 4 H i(t) + 5 cos (10t + 30°) V Figure 1

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QUESTION 4: SALARIES & WAGES (21 marks; 15 minutes) 4.1 INFORMATION: The following salary scale is used by Steve Traders for all salary earners: Notch 1 Notch 2 Notch 3 1110008000- 135000x12500-172500x20000) Notch 4 232,500 Page 6 of 9 Please turn over 4.2 Information relating to Payslip/Salary advice. Mock Payslip NextGen Essentials 10 Geneva Road Camps Bay Cape Town 8005 th Ahrics Gauteng Payroll First Names Birth Date: Engagement Date Tax Status NextGen Essentials Matthew 04 Nov 1969 01 Apr 2020 ono uatoydug prepung Last Name: Posifon: McConaughey Actor (ACT) g g ZAR Currency Tax Code 33-500.00 3601 2000.00 3713 2500.00 3701 38,000.00 Current Tax Code 2,721.50 907.00 280.00 8,673.51 4102 148.72 4141 12,730.73 25,269.27 Tax Code 2,721.50 4474 Basic Pay Total Earnings Deductions Medical Aid Employee Deduction - Discovery Executive Medical Aid Savings Employee - Discovery Executive Medical Aid Vitality Employee - Discovery Vitality Tax Paid UF Employee Total Deductions Net Pay Package Basic Pay Housing Allowance 33,500.00 2000.00 2,500.00 Medical Aid Employer Contribution 907.00 4474 4142 4141 nt Levy 411.29 148.72 Fringe Tax Code 3810 Medical Aid Fringe Benefit Total Fringe Benefits 3628 3,628.50 The mock payslip indicates an estimated calculation of the Net Pay value of the package, subject to final selection of benefits, structuring of package components, and statutory deductions.

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