Topic | Problem | Solution |
---|---|---|
None | The differential equation $5 \frac{d y}{d x}-2 x^… | First, we rewrite the given differential equation as \(\frac{dy}{dx} = \frac{2x^7y^4 + \frac{5y}{x}… |
None | 1. In an arithmetic series - the first term is 16… | \(a_1 = 16\) |
None | \[ \begin{array}{l} y=6 x \\ y=\underbrace{x^{2}}… | Check which equations pass through the point (0, 6): y = x^2 + 6, y = x + 6, and y = 2x + 6 |
None | Amira leans a 16 -foot ladder against a wall so t… | Given the length of the ladder (16 feet) and the angle it forms with the ground (66 degrees), we ne… |
None | d. None of the above The equation of the line pas… | 1. Find the slope of line u: \(m_u = -2\) |
None | The amount of carbon-14 present in animal bones t… | The amount of carbon-14 present in animal bones t years after the animal's death is given by \(P(t)… |
None | \[ \text { Let } \begin{aligned} U & =\{1,2,3, \c… | Let \( U = \{1,2,3, \cdots\} \) and \( A = \{1,2,3, \cdots, 26\} \). |
None | \[ \text { Let } \begin{aligned} U & =\{1,2,3,4,5… | Let \(U = \{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20\}\) and \(C = \{1,3,5,7,9,11,13,15,1… |
None | A man starts walking from home and walks 4 miles … | The man has walked a total of 23 miles in different directions. |
None | d A line with a gradient of $-\frac{2}{5}$ and pa… | Given the gradient $m = -\frac{2}{5}$ and the point $D(15, -9)$ |
None | Define sets U, A, B, and C as shown below. Find (… | Define the sets U, A, B, and C as given in the problem. |
None | -15 (Total tor question $=3$ marks) 2. Caroline i… | Find the least common multiple (LCM) of 30 and 18: \(\text{LCM}(30, 18) = 90\) |
None | 11. Two support wires are fastened to the top of … | Convert the angle of elevation from degrees to radians: \(38^\circ = 0.6632251157578453 \text{ radi… |
None | Define sets $U, A, B$, and $C$ as shown below. Fi… | Define the sets U, A, B, and C as U = {a, b, c, d, e, f, g, h}, A = {a, g, h}, B = {b, g, h}, and C… |
None | 8. Two ships, the Albacore and the Bonito, are $5… | Let A be the Albacore's position, B be the Bonito's position, and D be the distress flare's positio… |
None | Let $U=\{a, b, c, d, e, f, g\}, A=\{c, f, g\}, B=… | First, we need to find the intersection of sets B and C. The intersection of two sets is the set of… |
None | Check Use substitution to solve the system of equ… | First, we solve the first equation for y: \(y = 5x - 3\) |
None | Given the following sets, find the set $(A \cup B… | Given the universal set U = \{1, 2, 3, 4, 5, 6, 7\}, and the sets A = \{1, 3, 6, 7\}, B = \{2, 6, 7… |
None | Given the following sets, find the set $A \cup(B … | Given the sets A = {1, 2, 3, 4}, B = {7, 8, 9}, and C = {1, 2, 4, 5, 6}. |
None | An experiment is run. The mass of an object is re… | Given data points:\begin{tabular}{|r|r|} \hline Time (min) & Mass (g) \\ \hline 11 & 47 \\ \hline 1… |
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