Calculus Archive: Questions from September 04, 2022
-
1 answer
-
Determine para x sen(y) = y² + √3x + 5.
II. Determine \( \frac{d y}{d x} \) para \( x \operatorname{sen}(y)=y^{2}+\sqrt{3 x+5} \)2 answers -
2 answers
-
0 answers
-
solves these differential equations
1. \( y^{\prime}=\frac{y}{x}+\left(2 x^{3} / \mathrm{y}\right) \operatorname{Cos}\left(x^{2}\right), \mathrm{y}\left(\sqrt{\frac{\pi}{2}}\right)=\sqrt{\pi} \) 2. \( e^{2 x} y^{\prime}=2(\mathrm{x}+2)1 answer -
olve the differential equations: (a) \( y^{\prime}+y=\exp (x) \) (b) \( y^{\prime}=-y \tanh (x)+2 \exp (x) \) \( (\mathrm{c})\left(2 x e^{3 y}+e^{x}\right) d x+\left(3 x^{2} e^{3 y}-y^{2}\right) d y=01 answer -
Solve the following IVPs. 9. \( y^{\prime}=x^{3}(1-y), y(0)=3 \) 10. \( \frac{1}{2} \frac{d y}{d x}=\sqrt{y+1} \cos x, y(\pi)=0 \) 11. \( (y+2) d x+y(x+4) d y=0, y(-3)=-1 \)1 answer -
Find the partial derivatives of the function \[ f(x, y)=\int_{y}^{x} \cos \left(7 t^{2}+7 t-8\right) d t \] \[ \begin{array}{l} f_{x}(x, y)= \\ f_{y}(x, y)= \end{array} \]1 answer -
graph with its equation. \[ \begin{array}{l} f(x, y)=\frac{1}{1+x^{2}+y^{2}} \\ f(x, y)=x^{2}+y \\ f(x, y)=y^{2} \\ f(x, y)=(x-y)^{2} \\ f(x, y)=x^{3} \end{array} \]1 answer