ALL Problems

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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