Calculus Archive: Questions from September 28, 2023
-
1 answer
-
Find the derivative \( y^{\prime}(x) \) implicitly for the equation \( 8 x e^{2 y}-9 y \sin (2 x)=7 \). \[ \begin{array}{l} y^{\prime}=\frac{13 y \cos (2 x)-5 e^{5 y}}{6 x e^{5 y}-9 \cos (2 x)} \\ y^{1 answer -
1 answer
-
Solve the initial value problem \[ \frac{\mathrm{d}}{\mathrm{d} x} y(x)=\frac{1}{y(x)^{2}} ; \quad y(0)=2 \] \[ y(x)= \]1 answer -
0 answers
-
\( \begin{array}{l}y^{\prime \prime}+6 y^{\prime}+9 y=0 \\ y^{\prime \prime}-4 y-5=0 \\ y(-1)=3, y^{\prime}(-1)=9\end{array} \)1 answer -
1 answer
-
4. Find and simplify d² y dx² if y = x(x² - 4) x + 2
4. Find and simplify \( \frac{d^{2} y}{d x^{2}} \) if \( y=\frac{x\left(x^{2}-4\right)}{x+2} \)1 answer -
Evaluate the double integral. \[ \iint_{D} \frac{y}{x^{2}+1} d A, \quad D=\{(x, y) \mid 0 \leq x \leq 8,0 \leq y \leq \sqrt{x}\} \]1 answer -
find the derivative of y'
(b) \( y=\sqrt{x^{3}-50 x} \) (c) \( y=(6 x+1)^{4 / 3} \) (d) \( y=\frac{25}{\left(x^{2}+x+2\right)^{4}} \)1 answer -
3) Find \( \frac{d y}{d x} \) for the given function (7pts) \[ y=x-x^{3} \sin x \] \( 1-3 x^{\wedge} 2 \sin x-x^{\wedge} 3 \) \( 1-3 x^{\wedge} 2 \sin x-\cos x \) \( 1-3 x^{\wedge} 2 \sin x-x^{\wedge}1 answer -
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
0 answers
-
1 answer
-
0 answers
-
1 answer
-
1 answer
-
1 answer
-
0 answers
-
0 answers
-
1 answer
-
1 answer
-
0 answers
-
0 answers
-
1 answer
-
1 answer
-
0 answers
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
I want a solution to question 1 and question 2
1) Solve the given DE: (i) \( \mathbf{y}^{\prime \prime \prime}+\mathbf{2} \mathbf{y}^{\prime \prime}-\mathbf{5} \mathbf{y}^{\prime}-\mathbf{6 y}=\mathbf{0} \) (ii) \( \mathrm{y}^{\prime \prime \prime1 answer -
hi pls solve this thanks! Solve the differential equation: (9+ 2x sin y) dx x² cos y dy = 0 sin y = cx³ - 3 - x sin y = cx³ - 3 O x + 2x² sin y = c O x - x² sin y = c
Solve the differential equation: \[ (9+2 x \sin y) d x-x^{2} \cos y d y=0 \] \[ \sin y=c x^{3}-3 \] (E) \[ \begin{array}{l} x \sin y=c x^{3}-3 \\ x+2 x^{2} \sin y=c \\ x-x^{2} \sin y=c \end{array} \]1 answer -
Please help las necesito esos dos ejercicios urgente
QUESTION 2 Dada la figura, responda la pregunta que aparece abajo. Si la respuesta es una fracción responda en decimal, por ejemplo si es \( 3 / 2 \) escriba 1.5 \[ \lim _{x \rightarrow 0} \frac{g(x)1 answer -
QUESTION 17 a) La función es discontínua si \( x \) es: (entregue su respuesta separadas por coma, sin espacios en blanco, por ejemplo 5,6) b) La discontuidad es removible si \( x \) es: c) La disco1 answer -
QUESTION 15 a) \( f(3)= \) o) \( \lim _{x \rightarrow 3^{+}} f(x)=1 \) c) \( \lim _{x \rightarrow 3^{-}} f(x)= \) d) \( \lim _{x \rightarrow 3} f(x)=1 \) e) ¿Es \( f(x) \) contínua en \( x=3 \)1 answer -
por favor contestar pregunta 3 y 4
Dada la figura, responda la pregunta que aparece abajo. Si la respuesta es una fracción responda en decimal, por ejemplo si es \( 3 / 2 \) escriba 1.5 Gr: of \[ \lim _{x \rightarrow 0} 2 f(x)+3 g(x)1 answer -
1 answer
-
1 answer
-
QUESTION 2 Dada la figura, responda la pregunta que aparece abajo. Si la respuesta es una fracción responda en decimal, por ejemplo si es \( 3 / 2 \) escriba 1.5 \[ \lim _{x \rightarrow 0} \frac{g(x)1 answer -
1 answer
-
1 answer
-
0 answers
-
1 answer
-
\( \begin{array}{l}\int 23 x \cos \frac{1}{2} x d x \\ 23 \sin \left(\frac{1}{2}\right) x+46 x \cos \left(\frac{1}{2}\right) x+C \\ 23 x \sin \left(\frac{1}{2}\right) x-46 \cos \left(\frac{1}{2}\right1 answer -
Differentiate. 1. \( y=6 x^{3} \) 3. \( y=3 \sqrt[3]{x} \) 5. \( y=\frac{x}{2}-\frac{2}{x} \) 7. \( f(x)=x^{4}+x^{3}+x \) 9. \( y=(2 x+4)^{3} \) 11. \( y=\left(x^{3}+x^{2}+1\right)^{7} \) 13. \( y=\fr1 answer -
11, 19, 21 and 25 !!
\( 1-26= \) Differentiate the function. 1. \( f(x)=2^{40} \) 2. \( f(x)=\pi^{2} \) 3. \( f(t)=2-\frac{2}{3} t \) 4. \( F(x)=\frac{3}{4} x^{8} \) 5. \( f(x)=x^{3}-4 x+6 \) 6. \( f(t)=1.4 t^{5}-2.5 t^{21 answer -
1 answer
-
\( \arccos \left(\cos \left(\frac{8 \pi}{5}\right)\right) \) \( \sin ^{-1}\left(\sin \left(\frac{-4 \pi}{5}\right)\right) \)0 answers -
3. For each y and u below, find (a) u = 3x²+2x+1, y = e" EXOS/20 dy du du' dx en cada (b) u =tan(x), y = √u > and dy dac - tel/
3. For each \( y \) and \( u \) below, find \( \frac{d y}{d u}, \frac{d u}{d x} \), and \( \frac{d y}{d x} \). (a) \( u=3 x^{2}+2 x+1, y=e^{u} \) (b) \( u=\tan (x), y=\sqrt{u} \)1 answer -
3-26 Differentiate. 3. f(x) = (3x² - 5x)e* X 5. y = =//= et 1 + 2x 3 - 4x 9. H(u) = (u - Vũ (ut Vũ) 7. g(x) 1 1 (-/-3/) 0 y² 12. f(z) = (1 - e²)(z + e²) 11. F(y) = 13. y = 19. y = -4 10. J(v) =
3-26 Differentiate. 3. \( f(x)=\left(3 x^{2}-5 x\right) e^{x} \) 4. \( g(x)=(x+2 \sqrt{x}) e^{x} \) 5. \( y=\frac{x}{e^{x}} \) 6. \( y=\frac{e^{x}}{1-e^{x}} \) 7. \( g(x)=\frac{1+2 x}{3-4 x} \) 8. \(1 answer -
Please type if possible will upvote 👍🏽
3) \( \int \sqrt{\sin x} \cos x d x \) 4) \( \int \sin ^{4} x d x \) 5) \( \int \tan x \sec ^{3} x \) 6) \[ \int \tan ^{2} x \sec x \]1 answer -
1 answer
-
Solve the exact differential equaion. F(x, y) == c (1x¹ + 4y)dx + (4x − 3y²)dy = 0
Solve the exact differential equaion. \[ \left(1 x^{4}+4 y\right) d x+\left(4 x-3 y^{2}\right) d y=0 \] \[ F(x, y)=\quad=c \]1 answer -
Solve the exact differential equation \[ \left(3 x+4 y^{3}+5 y^{2} \sin x\right) d x=\left(-12 x y^{2}+10 y \cos x\right) d y \] \[ F(x, y)=\quad=c \]1 answer -
2.¿Cuál es el área máxima que puede tener un rectángulo su la longitud de su diagonal es 4?
2.¿Cuál es el área máxima que puede tener un rectángulo su la longitud de su diagonal es 4 ?1 answer -
Find all the second partial derivatives. \[ \begin{array}{l} \quad f(x, y)=x^{9} y^{5}+2 x^{7} y \\ f_{x x}(x, y)= \\ f_{x y}(x, y)= \\ f_{y x}(x, y)= \\ f_{y y}(x, y)= \end{array} \]1 answer -
#8
In Problems 1-14 find the general solution of the given second-order differential equation. 1. \( 4 y^{\prime \prime}+y^{\prime}=0 \) 2. \( y^{\prime \prime}-36 y=0 \) 3. \( y^{\prime \prime}-y^{\prim1 answer -
1 answer
-
1 answer
-
#12
In Problems 1-14 find the general solution of the given second-order differential equation. 1. \( 4 y^{\prime \prime}+y^{\prime}=0 \) 2. \( y^{\prime \prime}-36 y=0 \) 3. \( y^{\prime \prime}-y^{\prim1 answer -
If f(x) = 6x² - 5e*, find: f'(x) = f'(5) = f''(x) = f''(5) =
\( \begin{array}{l}\text { If } f(x)=6 x^{2}-5 e^{x} \\ f^{\prime}(x)= \\ f^{\prime}(5)= \\ f^{\prime \prime}(x)= \\ f^{\prime \prime}(5)=\end{array} \)1 answer -
1 answer
-
1 answer
-
3 answers
-
Solve the exact differential equation \[ \left(3 x+4 y^{3}+5 y^{2} \sin x\right) d x=\left(-12 x y^{2}+10 y \cos x\right) d y \] \[ F(x, y)=\quad=c \]1 answer -
1 answer
-
12. Let \( g(x, y, z)=x^{3} y^{2} z \sqrt{10-x-y-z} \). (a) Evaluate \( g(1,2,3) \). (b) Find and describe the domain of \( g \). 13-20 Find and sketch the domain of the function. 13. \( f(x, y)=\sqrt1 answer -
1 answer
-
Find the derivative of \( f \) when \[ f(x)=4 \tan (x)+5 \cot (x) \] 1. \( f^{\prime}(x)=\frac{4+9 \cos ^{2}(x)}{\sin ^{2}(x) \cos ^{2}(x)} \) 2. \( f^{\prime}(x)=\frac{4-9 \cos ^{2}(x)}{\sin ^{2}(x)1 answer -
1 answer
-
1 answer
-
The terminal side of the angle in the standard position rests on the indicated line and meets the condition dad.determine the value of the six trigonometric functions of said angle
4. El lado terminal del ángulo \( \theta \) en posición estándar descansa sobre la recta indicada y cumple la condición dada. Determine el valor de las seis funciones trigonométricas de dicho án1 answer -
1 answer