Calculus Archive: Questions from April 12, 2022
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Calculus
3. Define dy from function: www dx wwwwwwwwwwwwwww 3x sin 2x+ e a) y = In(x+1) b) y = 2 sin 5x-1 x+1 + + c) y sin 3x + e** cos 2y + 5x + 6 y + 1 = 01 answer -
Differentiate each given functions secx a) y = cos2x X b) y = Sin?(cos*x + Tan x) c) y = 4xsin?(6x - 2) =1 answer -
Solve the initial value problem. y'(x) = 12x2 - 9x4, y(1) = 0 O y = 4x° + 3x2 - 7 ! O y = 4x2 - 3x^3 + 7 O y = 4x3 + 3x-3 + y = 4x3 + 3x^3 + 71 answer -
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Hallar la ecuación de la recta tangente a la curva (y - x) = 2x + 4 en el punto (6,2) Select one: 13y + 40 o 7 -1 20 7.2 2 0 5.0 - 2y = 1 16y + 37 = = 1 37 o Зr 10 11 2y 1 5 23y = 1 65 192 65 + 2521 answer -
Evaluar el límite de la función f(x) = 1 - cos(5x) sin(10x) cuando 2 +0. Select one: o 5 4 1 4 0 0 1 10 5 25 12 1 21 answer -
find maximum value of the fuction f(x)=4x^2-3y^2 to conditions 2x+y=4
Hallar el valor máximo de la función f(x) = 4x² – 3ysujeto a la condición 2.x + y = 41 answer -
Hallar los números críticos de la función f(1) = 32* - 52? + 11. Select one: Ox=0, Ox=0, O2=0, O x=0, 2 = *(-3 = (-3 2 (-3+ V3) O = -3, o x = -2, x = -5, x = 5 =9 2=2, =3 1 -3-3), 2 x=0, = 3 7 =0 41 answer -
Hallar la ecuación de la recta tangente a la curva =0. y = 5x + 2 In (3x + 1) en el punto Select one: y=73 Oy= 10.2 Oy5 Oy=11.0 Oy=641 answer -
Find the indicated partial derivative(s). f(x, y) = x8,4 - X5 y 3; xxx fxxx хух fxxx(x, y) = = = fxyx(x, y) =1 answer -
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Analyze the information provided to determine the position finction s(t)=-1/2gt^2 + v0 + h0 Situation: An object is thrown from a mound with a height of 4 feet at a speed of 48 feet per second. a) Det
---- Instrucciones: Analalice los datos provistos por el siguiente ejercicio para determinar la función posición ( 1 s(t)=- 8² + vitha ottho) de un objeto en caida libre. Luego 2 presente todo el p1 answer -
1. Sketch the vector field F. (a) F(x, y) = i+yj y (b) F(x,y) = yi + (x+y).j y (c) F(x, y, z) = zi y r is1 answer -
Use logarithmic differentiation to find y'. 2 y = 71 - 4x (x² + 7) x? + 8x + 3 y' (2x+8) (x2 + 8x+3) +2 answers -
#14 & #18
In Exercises 3-24, find the first partial derivatives of the function. 3. f(x, y) = 2x + 3y + 5 4. f(x, y) = 2xy 5. g(x, y) = 2x2 + 4y + 1 6. f(x, y) = 1 + x2 + y2 2y 7. f(x, y) 8. f(x, y) = = х .2 x1 answer -
need help
0 F(x) = x² - 6x + 5 ts @ f(x) = x - x²4 ③ f(x) = x² - 4) x 4 f(x) = 2x - Buscar laderiuada of '(x) @ valores criticos 3) creciente o decreciente ④ Maximo relativo (local) minimore lativol loca1 answer -
Integrate h(x, y, z) = cos(x)i + sin(y)j + yz k over the path: r(u) = ?i-'j+2 uk u € (0,1) 3 a) 5 + 3 sin(1) – 3 cos(1) 4 b) 5-sin(1) + cos(1) c) sin(1) + cos(1) 5 d) 5 + sin(1) - cos(1) 11 e) + s1 answer -
Find the derivative using 3-step rule. 2x-3 1: y = = 3x + 4 2. y = J2+x ) 3. Y 4. y = 51-3x Higher Derivatives 2 1. UE 6.03 - 19° Cx+2) Ende y 2. y = 73 (x²-3x)? findo y1 answer -
2. (3 pts) Find all extrema (i.e. maxima, minima) of the function 1 f2, y) = 203 + 2x2 – 12x + y2 – 2y – 101 answer