Other Math Archive: Questions from March 20, 2023
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\[ 2=-5 \times 1+5 \times 2+13 \times 3 \] Dado \[ \begin{array}{l} x_{1}+x_{2}+3 \times 3 \leq 20 \\ 12 \times 1+4 \times 2+10 \times 3 \leq 90 \end{array} \] \( y \) \( x) \geq 0(j=1,2,3] \) Sa perm2 answers -
Find and classify all the critical points for the given functions. a) \( f(x, y)=(y-2) x^{2}-y^{2} \) b) \( f(x, y)=7 x-8 y+2 x y-x^{2}+y^{3} \) c) \( f(x, y)=\left(3 x+4 x^{3}\right)\left(y^{2}+2 y\r2 answers -
In exercise 10, use the graph of f to sketch each graph.
\( \begin{array}{l}y=f(x-5) \\ y=-f(x)+3 \\ y=\frac{1}{3} f(x) \\ y=-f(x+1) \\ y=f(-x) \\ y=f(x)-10 \\ y=f\left(\frac{1}{3} x\right)\end{array} \)2 answers -
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Let \( z=\cos y+f(2 \sin x-3 \cos y) \), where \( f(u) \) is a twice differentiable function. i. Find the value of \( 3 \sec x \frac{\partial z}{\partial x}-2 \csc y \frac{\partial z}{\partial y} \).0 answers -
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discrete mathematics
Solve the following IVPs: \[ y^{(4)}+4 y^{\prime \prime}=4 e^{-t}, \quad y(0)=1, y^{\prime}(0)=-1, y^{\prime \prime}(0)=1, y^{\prime \prime \prime}(0)=-1 . \] \[ y^{\prime \prime \prime}+4 y^{\prime}=2 answers -
Use the PMI to prove the following for all natural numbers \( n \). (a) \( \sum_{i=1}^{n}(3 i-2)=\frac{n}{2}(3 n-1) \). (b) \( 3+11+19+\cdots+(8 n-5)=4 n^{2}-n \). (c) \( \sum_{i=1}^{n} 2^{i}=2^{n+1}-2 answers -
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porfavor mostrar todo el trabajo
a. \( \sqrt{75}= \) b. \( \sqrt[4]{1024 x^{6} y^{5}}= \) c.. \( \sqrt[3]{40 a^{5}}= \) d. \( \sqrt{\frac{125 b^{2}}{216}} \) 2. Rodea la expresión correcta en cada caso a. \( \sqrt[3]{128} \) \( 4 \s2 answers