Calculus Archive: Questions from July 13, 2022
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ODE: \( y^{\prime \prime}+y=0, y_{1}=\cos (x), y_{2}=\sin (x) \). \[ y(0)=9, \quad y^{\prime}(\pi)=5 \] Find: \( y=? \)3 answers -
3 answers
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(1) \( \begin{aligned} y^{\prime \prime}+y^{\prime}-2 y=0, & y_{1}=? \\ y_{2} &=? \end{aligned} \) \[ \begin{aligned} y^{\prime \prime}+2 y^{\prime}+y=0, & y_{1}=? \\ & y_{2}=? \end{aligned} \]3 answers -
PLEASE ANSWER ALL THE GIVEN, THANK YOU1
ASSIGNMENT 1. \( y=\sin x \) 8. \( y=e^{2 x} \) 2. \( f(x)=\cos x \) 9. \( f(x)=e^{3 x^{2}-4 x+5} \) 3. \( f(x)=\tan 2 x \) 10. \( y=\ln 2 x \) 4. \( y=\csc 3 x \) 11. \( f(x)=\ln 4 x^{3} \) 5. \( f(t1 answer -
please solve!!
Question 1. Calculate y'(10 marks): Chapter Review, Problems 2,4, 12 14, 16, 18, 26, 28, 30, 42 a. \( y=\frac{1}{\sqrt{x}}-\frac{1}{\sqrt{x^{3}}} \) b. \( y=\frac{\tan x}{1+\cos x} \) c. \( y=(\arcsin3 answers -
Al calcular el valor de c que satisface la conclusión del Teorema de Rolle con la función \( f(x)=2 x^{2}-4 x+5 \) en el intervalo \( [-1,3] \) es Select one: a. \( 1.5 \) b. 2 c. No está la respue1 answer -
calculate the absolute minimum and macimum value of the functionf(x)=5+54x-2x^3 in the interval [0,4]
El valor máximo absoluto de la función \( f(x)=5+54 x-2 x^{3} \) en el intervalo \( [0,4] \) Select one: a. 93 b. No está la respuesta correcta c. 5 d. 113 e. \( -103 \)3 answers -
Arc lenght Set up and evaluate the definite integral by determining the length of the arc of the curve and y=x^4/8 +1/4x^2 in the interval [2,3]
Longitud de arco Establezca y evalúe la integral definida por determinar la longitud del arco de la curva \( y=\frac{x^{4}}{8}+\frac{1}{4 x^{2}} \) en el infervalo \( [2,3] \)3 answers -
find the function of the given question, asap.
ASSIGNMENT 1. \( y=\sin x \) 8. \( y=e^{2 x} \) 2. \( f(x)=\cos x \) 9. \( f(x)=e^{3 x^{2}-4 x+5} \) 3. \( f(x)=\tan 2 x \) 10. \( y=\ln 2 x \) 4. \( y=\csc 3 x \) 11. \( f(x)=\ln 4 x^{3} \) 5. \( f(t0 answers -
3 answers
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Evaluate the triple integral. \[ \iiint_{E} y d V, \text { where } E=\{(x, y, z) \mid 0 \leq x \leq 9,0 \leq y \leq x, x-y \leq z \leq x+y\} \]3 answers -
just q9 please
Q2-Q10. Find the local maximum and minimum values and saddle point(s) of the function. Q2. \( f(x, y)=x^{2}+x y+y^{2}+y \) Q3. \( f(x, y)=2 x^{2}-8 x y+y^{4}-4 y^{3} \) 4 Q4. \( f(x, y)=(x-y)(1-x y) \1 answer -
\[ \int\left(\frac{15}{x}-10 x^{4}+9 e^{3 x}\right) d x, x>0 \] A. \( 15 \ln x-2 x^{5}+27 e^{3 x}+C \) B. \( 15 \ln x-40 x^{3}+27 e^{3 x}+C \) C. \( \quad 15 \ln x-2 x^{5}+3 e^{3 x}+C \) D. \( 15 \ln1 answer -
1 answer
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Given \( f(x, y)=\left(x^{3}-2 y^{2}\right)^{2} \), find and simplify \( f_{x x}(x, y), f_{y y}(x, y), f_{x y}(x, y) \), and \( f_{y x}(x, y) \).1 answer -
1,3,5,7
In Problems 1-8, determine the first three nonzero terms in the Taylor polynomial approximations for the given initial value problem. 1. \( y^{\prime}=x^{2}+y^{2} ; \quad y(0)=1 \) 2. \( y^{\prime}=y^1 answer -
Solve the initial value problem
\( y^{\prime \prime}-3 y \prime+2 y=\frac{e^{3 x}}{e^{2 x}+1}, \quad y(0)=\frac{\pi}{4}, y \prime(0)=\frac{\pi}{2} \)3 answers -
2) and 3) Use Green's theorem to calculate the work done by the force F on a particle moving counterclockwise along the closed path C.
Utilizar el teorema de Green para calcular el trabajo realizado por la fuerza \( \mathrm{F} \) sobre una particula que se mueve, en sentido contrario a las manecillas del reloj, por la trayectoria cer1 answer -
I. Determine if the following vector fields are conservative, if so conclude their potential function. II. Compute the curl of the vector field at the given point Ejercicios: I. Determine si los sigu1 answer -
Calcula directamente la integral de línea \[ \int_{C} \vec{F} \cdot d \vec{r} \] donde \[ \vec{F}=e^{x} \hat{i}+2 e^{y} \hat{j}+3 e^{z} \hat{k} \] y C es la curva parametrizada por la función \[ \ve1 answer -
Calcula explícita y directamente la integral de superficie \[ \int_{S}\left(x^{2}+y^{2}+z^{2}\right) d S \] donde \( S \) es la esfera de radio \( a=4.7 \) que está parametrizada por \[ \begin{array1 answer -
Find the maximum and the minimum value of the curve that is formed at the intersection of the paraboloids z=1+2x^2 + 3y^2 , z= 5-(3x^2+5y^2)
2. Halle el máximo y mínimo valor de la curva que se forma en la interseccion de los paraboloides \( z=1+2 x^{2}+3 y^{2} \quad z=5-\left(3 x^{2}+5 y^{2}\right) \).1 answer -
Given \( f(x, y)=e^{2 x^{2}+3 y^{2}} \), find and simplify \( f_{x x}(x, y), f_{y y}(x, y), f_{x y}(x, y) \), and \( f_{y x}(x, y) \).1 answer -
Given \( f(x, y)=\left(x^{3}-2 y^{2}\right)^{2} \), find and simplify \( f_{x x}(x, y), f_{y y}(x, y), f_{x y}(x, y) \), and \( f_{y x}(x, y) \).1 answer -
Examine the function for relative extrema. \[ f(x, y)=8 x^{2}+6 y^{2}-16 x-12 y+13 \] \[ (x, y, z)=( \]3 answers -
true or false
1. If \( y \) is a differentiable function of \( u \), and \( u \) is a differentiable function of \( x \), then \( y \) is a differentiable function of \( x \). 2. If \( y=(5-x)^{\frac{1}{2}} \), the3 answers -
1 answer
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Halle el máximo y mínimo valor de la curva que se forma en la interseccion de los paraboloides \( z=1+2 x^{2}+3 y^{2} \quad z=5-\left(3 x^{2}+5 y^{2}\right) \).1 answer -
consider the bounded region between the curves y=2x^2, y=0, x=2 to determine the volume solid revolution that form when rotate to: 1. y axis 2. x axis using cyllindric layers method 3. y=8 line 4. x=2
Objetivo: Esta actividad tiene como propósito ayudar al estudiante a determinar el volumen de un sólido de revolución utilizando el método de arandelas y a delerminar el volumen de un sóido de re1 answer -
1 answer
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Evaluate the double integral. \[ \iint_{D} 6 y^{2} e^{x y} d A, D=\{(x, y) \mid 0 \leq y \leq 3,0 \leq x \leq y\} \]3 answers -
maximize p
aximize \( p=2 x+4 y+2 z+4 w+2 v \) subject to \[ \begin{array}{l} x+y \leq 3 \\ y+z \leq 3 \\ z+w \leq 9 \\ w+v \leq 12 \\ x \geq 0, y \geq 0, z \geq 0, w \geq 0, v \geq 0 \\ p= \\ (x, y, z, w, v)=(1 answer -
Calculate the directional derivative of the function at the given point in the direction of the vector v. Compute the local maximum and minimum values, and saddle point(s) of the function.
4. Calcule la derivada direccional de la función en el punto dado en la dirección del vector \( v \) \( g(r, s)=\tan ^{-1}(r s), \quad(1,2), \quad \mathbf{v}=5 \mathbf{i}+10 \mathbf{j} \) 5. Calcule1 answer -
1 answer
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(1 point) Let \( f(x, y)=2 x^{4} y^{4} \). Then \[ \begin{aligned} f_{x}(x, y) &=\\ f_{x}(1, y) &=\\ f_{x}(x,-4) &=\\ f_{x}(1,-4) &=\\ f_{y}(x, y) &=\\ f_{y}(1, y) &=\\ f_{y}(x,-4) &=\\ f_{y}(1,-4) &=1 answer -
1 answer
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if R=[-2.2]x[-1.1], use a riemann sum with m=n=4 to estimate the value of (integral). Take the flags as the lower left corners of the subrectangles
1. If \( R=[-2,2] \times[-1,1] \), use una suma de Riemann con \( m=n=4 \) para estimar el valor de \( \iint_{R}\left(2 x+x^{2} y\right) d A \). Tome las banderas como las esquinas inferiores izquierd1 answer -
Use la regla de la cadena para calcular las derivadas parciales que se indican. \[ \begin{array}{l} T=\frac{v}{2 u+v}, \quad u=p q \sqrt{r}, \quad v=p \sqrt{q} r \\ \frac{\partial T}{\partial p}, \fra1 answer -
I need help with these three exercises: 1. If R = [-2,2] x [-1,1], use a Riemann sum with m = n = 4 to estimate the value of ... Take the flags to be the lower left corners of the sub-rectangles. 2. F
1. If \( R=[-2,2] \times[-1,1] \), use una suma de Riemann con \( m=n=4 \) para estimar el valor de \( \iint_{R}\left(2 x+x^{2} y\right) d A \). Tome las banderas como las esquinas inferiores izquierd1 answer -
(1 point) Let \( f(x, y)=5 x^{3} y^{4} \) \[ \begin{aligned} f_{x}(x, y) &=\\ f_{x}(-4, y) &=\\ f_{x}(x, 4) &=\\ f_{x}(-4,4) &=\\ f_{y}(x, y) &=\\ f_{y}(-4, y) &=\\ f_{y}(x, 4) &=\\ f_{y}(-4,4) &= \en1 answer -
(1 point) Let \( f(x, y, z)=\frac{x^{2}-2 y^{2}}{y^{2}+6 z^{2}} \). Then \[ \begin{array}{l} f_{x}(x, y, z)= \\ f_{y}(x, y, z)= \\ f_{z}(x, y, z)= \end{array} \]3 answers