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Question Number 182069 Answers: 1 Comments: 1
$$\left(\mathrm{1}+\mathrm{x}^{\mathrm{2}} \right)\frac{\mathrm{dy}}{\mathrm{dx}}+\mathrm{3xy}=\mathrm{5x} \\ $$$$ \\ $$$$\mathrm{solve} \\ $$
Question Number 182031 Answers: 0 Comments: 0
Question Number 181977 Answers: 0 Comments: 0
Question Number 181764 Answers: 3 Comments: 0
$$\frac{\mathrm{dy}}{\mathrm{dx}}+\mathrm{cos}\left(\mathrm{x}\right)\mathrm{y}=\mathrm{cos}\left(\mathrm{x}\right) \\ $$$$ \\ $$$$\mathrm{Solve} \\ $$$$ \\ $$
Question Number 181758 Answers: 0 Comments: 0
$$\mathrm{How}\:\mathrm{likely}\:\mathrm{have}\:\mathrm{at}\:\mathrm{least}\:\mathrm{two}\:\mathrm{of}\:\mathrm{23} \\ $$$$\mathrm{student}\:\mathrm{birthday}\:\mathrm{on}\:\mathrm{the}\:\mathrm{same}\:\mathrm{day}? \\ $$$$ \\ $$$$\mathrm{M}.\mathrm{m} \\ $$
Question Number 181757 Answers: 1 Comments: 0
$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{largest}\:\mathrm{digit}\:\mathrm{of}\:\mathrm{11}^{\mathrm{5}} \centerdot\mathrm{17}^{\mathrm{3}} \centerdot\mathrm{33}^{\mathrm{3}} \\ $$$$ \\ $$$$. \\ $$
Question Number 181756 Answers: 2 Comments: 0
$$\mathrm{Without}\:\mathrm{using}\:\mathrm{calculator},\:\mathrm{what}\:\mathrm{is}\:\mathrm{the} \\ $$$$\mathrm{value}\:\mathrm{of}\:\mathrm{Cos}\left(\frac{\mathrm{7}\pi}{\mathrm{6}}\right)? \\ $$$$ \\ $$$$. \\ $$
Question Number 181755 Answers: 1 Comments: 2
$$\mathrm{Find}\:\mathrm{the}\:\mathrm{point}\:\mathrm{of}\:\mathrm{intersection}\:\left(\mathrm{x},\mathrm{y}\right) \\ $$$$\mathrm{of}\:\mathrm{f}\left(\mathrm{x}\right)=\mathrm{2x}−\mathrm{3}\:\mathrm{and}\:\mathrm{g}\left(\mathrm{x}\right)=−\mathrm{x}^{\mathrm{3}} . \\ $$$$ \\ $$$$. \\ $$
Question Number 181743 Answers: 1 Comments: 0
$$\frac{\mathrm{dy}}{\mathrm{dx}}+\mathrm{xy}=\mathrm{xy}^{\mathrm{2}} \\ $$$$ \\ $$$$\mathrm{Solve} \\ $$
Question Number 181735 Answers: 2 Comments: 0
$$\int\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }−\mathrm{2x}}\mathrm{dx} \\ $$
Question Number 181723 Answers: 1 Comments: 0
$$\frac{\mathrm{dy}}{\mathrm{dx}}=\frac{\mathrm{xy}^{\mathrm{2}} +\mathrm{2y}^{\mathrm{3}} }{\mathrm{x}^{\mathrm{3}} +\mathrm{x}^{\mathrm{2}} \mathrm{y}+\mathrm{xy}^{\mathrm{2}} } \\ $$$$ \\ $$$$\mathrm{Solve} \\ $$$$ \\ $$
Question Number 181750 Answers: 0 Comments: 1
$$\int\mathrm{xe}^{\mathrm{x}^{\mathrm{2}} +\mathrm{x}} \mathrm{dx} \\ $$$$ \\ $$$$. \\ $$
Question Number 181681 Answers: 0 Comments: 0
Question Number 181618 Answers: 2 Comments: 0
$$\frac{\mathrm{dy}}{\mathrm{dx}}+\mathrm{2xy}=\mathrm{x}^{\mathrm{2}} \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{y}\left(\mathrm{0}\right)=\mathrm{3} \\ $$$$ \\ $$$$\mathrm{Solve} \\ $$$$ \\ $$$$. \\ $$
Question Number 181617 Answers: 0 Comments: 0
$$\mathrm{Solve}: \\ $$$$\mathrm{x}\frac{\mathrm{dy}}{\mathrm{dx}}+\left(\mathrm{x}+\mathrm{1}\right)\mathrm{y}=\mathrm{e}^{\mathrm{x}^{\mathrm{2}} } \\ $$$$ \\ $$$$. \\ $$
Question Number 181615 Answers: 1 Comments: 0
$$\mathrm{Determine}\:\mathrm{whether}\:\mathrm{this}\:\mathrm{is}\:\mathrm{Homogenous} \\ $$$$\mathrm{or}\:\mathrm{not} \\ $$$$\frac{\mathrm{dy}}{\mathrm{dx}}=\frac{\mathrm{y}}{\mathrm{y}−\mathrm{2x}} \\ $$$$ \\ $$$$. \\ $$
Question Number 181613 Answers: 1 Comments: 0
$$\frac{\mathrm{dy}}{\mathrm{dx}}=\frac{\mathrm{xy}+\mathrm{y}^{\mathrm{2}} }{\mathrm{x}^{\mathrm{2}} }\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{y}\left(−\mathrm{1}\right)=\mathrm{2} \\ $$$$ \\ $$$$. \\ $$
Question Number 181219 Answers: 1 Comments: 0
$$\mathrm{Solve}\:\mathrm{the}\:\mathrm{D}.\mathrm{E} \\ $$$$\mathrm{x}\frac{\mathrm{dy}}{\mathrm{dx}}−\mathrm{y}=\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} } \\ $$$$ \\ $$$$. \\ $$
Question Number 181218 Answers: 1 Comments: 0
$$\mathrm{Solve}\:\mathrm{the}\:\mathrm{Differential}\:\mathrm{equation}: \\ $$$$\mathrm{x}\frac{\mathrm{dy}}{\mathrm{dx}}−\mathrm{y}=\mathrm{2y}\left(\mathrm{lnx}−\mathrm{lny}\right) \\ $$$$ \\ $$$$. \\ $$
Question Number 181217 Answers: 1 Comments: 0
Question Number 181023 Answers: 1 Comments: 0
Question Number 181245 Answers: 1 Comments: 7
$$\left(\mathrm{x}−\frac{\mathrm{1}}{\mathrm{x}}\right)\left(\mathrm{x}^{\frac{\mathrm{4}}{\mathrm{3}}} +\mathrm{x}^{\frac{\mathrm{2}}{\mathrm{3}}} \right)=\mathrm{x}^{\frac{\mathrm{1}}{\mathrm{3}}} \left(\mathrm{x}^{\mathrm{2}} −\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{2}} }\right) \\ $$$$ \\ $$$$\mathrm{prove}\:\mathrm{LHS}=\mathrm{RHS} \\ $$
Question Number 181015 Answers: 1 Comments: 0
$$\mathrm{If}\:\mathrm{z}=\mathrm{xy}−\mathrm{7x}+\mathrm{4y},\:\:\:\mathrm{evaluate}\:\frac{\partial\mathrm{z}}{\partial\mathrm{x}\:}\:\mathrm{and}\:\frac{\partial\mathrm{z}}{\partial\mathrm{y}} \\ $$$$ \\ $$$$. \\ $$$$ \\ $$
Question Number 181014 Answers: 0 Comments: 5
$$\mathrm{If}\:\mathrm{f}\left(\mathrm{x}\right)=\mathrm{3}−\mathrm{x}^{\mathrm{2}} ,\:\:\:\:\mathrm{find}\:\frac{\mathrm{f}\left(\mathrm{3}+\mathrm{h}\right)−\mathrm{f}\left(\mathrm{3}\right)}{\mathrm{h}} \\ $$$$ \\ $$$$. \\ $$
Question Number 180976 Answers: 2 Comments: 0
$$\frac{\mathrm{dy}}{\mathrm{dx}}=\frac{\mathrm{x}−\mathrm{y}−\mathrm{2}}{\mathrm{x}+\mathrm{y}+\mathrm{6}} \\ $$$$ \\ $$$$\mathrm{solve} \\ $$
Question Number 180954 Answers: 1 Comments: 0
A tugboat is travelling from Asaba to Onitsha across the River Niger with a resultant velocity of 20 knots. If the river flows at 12 knots, the direction of motion of the boat relative to the direction of water flow is?
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