Calculus Archive: Questions from April 29, 2023
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PLEASE DO NOT USE L'HOSPITAL! √x4 - 6x³ +9x² 2x² - 6x (a) lim x-3 4x² + sin 4x x-0 6x + sin 6x (b) lim (c) lim (4x + √16x² + 32x − 2) 8118
PLEASE DO NOT USE L'HOSPITAL! (a) \( \lim _{x \rightarrow 3} \frac{\sqrt{x^{4}-6 x^{3}+9 x^{2}}}{2 x^{2}-6 x} \) (b) \( \lim _{x \rightarrow 0} \frac{4 x^{2}+\sin 4 x}{6 x+\sin 6 x} \) (c) \( \lim _{x2 answers -
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\( =\frac{\left(a^{\prime} n\right) \varrho}{\left(\hbar^{\prime} x\right) \varrho} \) seljdui \( \frac{z^{a+z^{n}}}{a}=\hbar \cdot \frac{z^{a+z^{n}}}{n_{L}}=x \)2 answers -
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Evaluate the triple integral \( \iiint_{B} g(x, y, z) d V \) over solid B. \[ B=\left\{(x, y, z) \mid 4^{2} \leq x^{2}+y^{2} \leq 8^{2}, x \geq 0, y \geq 0,4 \leq z \leq 5\right\} \text { and } g(x, y2 answers -
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1) Halle \( \frac{d y}{d x} \) para \( y=x^{2} \ln \left(\frac{x}{x+3}\right) \) 2) Utilice diferenciación logaritmica para determinar \( \frac{d y}{d x} \) para \( y=\frac{x}{\sqrt{3 x+2}} \). 3) De2 answers -
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Evalúa las siguientes integrales de lÃnea, aquà considera que \( \mathrm{C} \) es una curva cualquiera de \( A \) a \( B \). a) \( \int_{C} e^{x} \operatorname{sen}(y) d x+e^{x} \cos (y) d y \) don0 answers -
Solve and show method/steps for #20 Please:
Using the Second Partials Test In Exercises 9-24, find all relative extrema and saddle points of the function. Use the Second Partials Test where applicable. 9. \( f(x, y)=x^{2}+y^{2}+8 x-12 y-3 \) 102 answers -
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\( x=9 u v-3 u, y=-(5 u v+6 u v w) \), and \( z=7 u v w \) implies \( \frac{\partial(x, y, z)}{\partial(u, v, w)}= \)2 answers -
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Use polar coordinates to write and evaluate the double integral.
\[ \int_{R} \int f(x, y) d A \] Para \( f(x, y)=x+y \) donde \( R: x^{2}+y^{2} \leq 4, x \geq 0, y \geq 0 \)2 answers -
1) Halle \( \frac{d y}{d x} \) para \( y=x^{2} \ln \left(\frac{x}{x+3}\right) \) 2) Utilice diferenciación logaritmica para determinar \( \frac{d y}{d x} \) p \( ׳ \) ara \( y=\frac{x}{\sqrt{3 x+2}}2 answers -
Evaluate \( \iiint_{E}(x+y-5 z) d V \) where \( E=\left\{(x, y, z) \mid-3 \leq y \leq 0,0 \leq x \leq y, 02 answers -
\[ \int_{0}^{1} \int_{x^{2}}^{x} f(x, y) d y d x=\int_{x^{2}}^{x} \int_{0}^{1} f(x, y) d x d y \] True False2 answers