| Topic | Problem | Solution |
|---|---|---|
| None | Student Help Video Show Example Complete: \( 10 \… | \( A = 36\pi \mathrm{cm}^{2} \) |
| None | Express the following ratio as a fraction reduced… | \(\frac{5}{20}\) |
| None | The left and right page numbers of an open book a… | Let x be the smaller page number, then x + 1 is the larger page number. |
| None | Question 10: Find the integration using Substitut… | Let \(u = 3x^2 + 5\), then \(du = 6xdx\) |
| None | Question 8: (2 marks) The function \( f(x)=x^{3}+… | \( f'(x) = 3x^2 + 18x - 48 \) |
| None | Tickets to a community theater cost \( \$ 35 \) f… | Let x be the number of adult tickets and y be the number of child tickets. Then we have two equatio… |
| None | A bank teller cashed a check for \( \$ 1190 \) us… | Let x be the number of \(\$ 50\) bills and y be the number of \(\$ 10\) bills. |
| None | Question 7: (2 marks) The function \( f(x)=x^{4}-… | \(f'(x) = 4x^3 - 12x\) |
| None | Use the percent formula, \( A=P B: A \) is \( P \… | \(40.7 = 0.38B\) |
| None | Use the percent formula, \( A=P B: A \) is \( P \… | \(A = P B\) |
| None | Determine whether the given number is a solution … | Divide both sides of the equation by 7: \(\frac{7z}{7}=\frac{49}{7}\) |
| None | 2. You plan to drive to a resort that is 399 mile… | \( \text{Total miles} = 2 \times 399 = 798 \) |
| None | Q2: If the average of \( 5 x \) and \( 3 y \) is … | \( \frac{5x + 3y}{2} = \frac{1}{2} (6y) \) |
| None | Q1: A \( 210 \$ \) dress goes on \( 70 \% \) sale… | Calculate the sale amount: (210)(0.7) = 147 \$ |
| None | Ouestion 3: (1 mark) The function \( f(x) \) whos… | \(f'(x)=6x^2-2x+6\) |
| None | 21-28 Simplify: 21) \( 2 \sqrt{125 v} \) | \( 2\sqrt{125v} = 2\sqrt{5^3v} \) |
| None | Confirm that \( V(x, y, z)=9 y z \cos x \) is a p… | Check if \( \nabla V = \mathbf{F} \) for \( V(x, y, z) = 9yz \cos x \) and \( \mathbf{F}(x, y, z) =… |
| None | 98) Flying to Madrid with a tailwind a plane aver… | Let's denote the speed of the plane in still air as p and the speed of the wind as w. |
| None | \( D \) is the solid cylinder bounded by \( x^{2}… | Step 1: Compute the divergence: \(\nabla \cdot \mathbf{F}(x, y, z) = \frac{\partial}{\partial x}(2x… |
| None | 14. The after-tax price of your shiny new car is … | Let x be the pretax price of the car. Then after applying the 4% sales tax, we have: x * (1 + 0.04)… |
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