Calculus Archive: Questions from May 11, 2023
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1) Find \( y^{\prime} \) \[ y=\ln 5 x^{2} \] 2) \( y=\sin \left(e^{x}+1\right) \) 3) \( y=3 \ln \left(x^{2}-5\right) \)2 answers -
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Indicoe sila recta \( y=3-2 \) es secante, tangente a exterior a la circinferencia correspondiente (oscriba en el esacio secante, tangente o exterior seguin corresponda) Con respecto a la circunterenc2 answers -
Clasifique las cónicas \[ \begin{array}{l} x^{2}+y^{2}+2 x+6 y+1=0 \\ 2 x^{2}+2 y^{2} 4 x+4 y+19=0 \\ x^{2}+4 y^{2}=100 \\ 8 x^{2}-3 y^{2}=120 \\ y^{2}=36 x \end{array} \] A. Parábola B. Elipse C. N2 answers -
7. Encuentro \( f^{\prime}(x) \) si \( f(x)=\left(\frac{3 x^{2}-5}{2 x^{2}+7}\right)^{2} \) 18. Encuentra la \( 3^{\text {ra }} \) derivada si \( y=\sqrt{2-5 x} \)2 answers -
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1 6- y = 2x-3 ise y (55) (1) = ?
\( \begin{array}{r}6-\quad y=\frac{1}{2 x-3} \\ \text { ise } y^{(55)}(1)=?\end{array} \)2 answers -
QUESTION 4 Halle el valor exacto de la integral definida: 1 -2x+3 dx O a. 1.60943 Ob. In5 OC. In4 O d. 1.60944
Halle el valor exacto de la integral definida: \[ \int_{-2}^{2} \frac{1}{x+3} d x \] a. 1.60943 b. \( \ln 5 \) c. \( \ln 4 \) d. 1.609442 answers -
QUESTION 6 Halle el área acotada por las gráficas de las ecuaciones: y = x²-2, y = x. O a. 3/2 Ob 9/2 OC.-9/2 O d.-3/2
Halle el área acotada por las gráficas de las ecuaciones: \[ y=x^{2}-2, y=x \] a. \( 3 / 2 \) b. \( 9 / 2 \) c. \( -9 / 2 \) d. \( -3 / 2 \)2 answers -
11. Solve the following DE for " \( y \) ": \[ \left(D^{2}+12 D+36\right) y=0 \] 12. Solve the following \( D E \) for " \( y \) ": \[ \left(D^{2}-4 D+3\right) y=9 x \]2 answers -
Sea f(x,y) = x^2e^(3xy) (a) evalúe f(2,0) (b) encuentre el dominio de f (c) encuentre el rango de f.2 answers
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2 and 4 and 8 and 10 and 13
1-6 Evaluate the iterated integral. 1. \( \int_{1}^{5} \int_{0}^{x}(8 x-2 y) d y d x \) 2. \( \int_{0}^{2} \int_{0}^{y^{2}} x^{2} y d x d y \) 3. \( \int_{0}^{1} \int_{0}^{y} x e^{y^{3}} d x d y \) 4.2 answers -
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