Calculus Archive: Questions from January 20, 2023
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Cuando evaluamos \( \int(3-x) 7^{(3-x)^{3}} d x \) se obtiene \( -\frac{1}{2 \ln 7}\left[7^{(3-x)^{3}}\right]+C \). True False2 answers -
2 answers
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La ecuaciĆ³n \( 4^{\mathrm{x}}-7=6\left(2^{\mathrm{x}}\right) \) tiene dos soluciones reales. True False2 answers -
2 answers
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2 answers
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Evaluate the integral
\( \int_{-1 / \sqrt{3}}^{1 / \sqrt{3}} \frac{\cos \left(\tan ^{-1} 3 x\right)}{1+9 x^{2}} d x \)2 answers -
Simplify the expression 1. \( y=\frac{x}{\sqrt{x^{2}-11}} \) \( y=\sin \left(\arctan \left(\frac{x}{\sqrt{11}}\right)\right) \) 2. \( y=\frac{\sqrt{11}}{\sqrt{x^{2}+11}} \) by writing it in algebraic2 answers -
Math 216 Homework webHW2, Problem 4 Solve the initial value problem \[ y^{\prime}=(1-y) \sin (8 x) ; y(0)=5 \]2 answers -
2 answers
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7,12,16,19,23
7. \( 2 x y^{\prime}+y=10 \sqrt{ } x \) 9. \( x y^{\prime}-y=x, y(1)=7 \) 10. \( 2 x y^{\prime}-3 y \) 11. \( x y^{\prime}+y=3 x y, y(1)=0 \) 12. \( x y^{\prime}+3 y=2 x^{5}, y(2)=1 \) 13. \( y^{\prim2 answers