Calculus Archive: Questions from April 05, 2022
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Find the differential dy when y = 3 + sin I 2 - sini 1. dy = 5 cosr (2 - sin 1) de 2. dy = 5 Cor de 2 – sinr 3. dy = 3 Cos I 2 - sin dr - 4. dy = 5 COSI dar (2 - sin r) 5. dy = 2 sin de (2 - sin r)1 answer -
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#40
= th = 24. y = = 13 ' Finding Derivatives In Exercises 21-42, find the derivative of y with respect to the appro- priate variable. 21. y = cos(x2) 22. y = cos! (18x) 23. y = sin-'V21 sin-'(1 - 1) 25.1 answer -
3. Find the derivative of y in each case. sin (x) (a) y = (b) y = sin(x) cos (x) (c) y = x .sin (x3)1 answer -
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1+2+...+n n if possible. If not possible, explain 2. Let n be a positive integer. Evaluate lim why. 84 n2 n + 3. Let n and m be positive integers. Evaluate (km+1 – (k – 1)m+1) if possible. If not1 answer -
The area of the shaded region between the curves in the graph below is
1. El area de la región sombreada entre las curvas en la siguiente gráfica es: y-2-cos 21 ya COS a) 2 b) 4x c) 6.28 d) Ninguna de las anteriores1 answer -
In Problems 1–14 find the general solution of the given second-order differential equation. 1. 4y" + y' = 0 2. y" – 36y = 0 = 3. y" – y' – 6y = 0 4. y" – 3y' + 2y = 0 5. y" + 8y' + 16y = 0 61 answer -
Find each limit. f(x, y) = 6x2 +9y2 f(x + Ax, y) - f(x, y) (a) lim Ax → 0 Ax (b) f(x, y + Ay) – f(x, y) lim Ду - 0 Ay1 answer -
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(1 point) Find y as a function of x if y (4) - 4y" + 4y" = 0, - = = = y(0) = 19, y'(0) = 9, y" (0) = 4, y" (0) = 0. y(x) = =1 answer -
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solve 2,5 and 6
1. a) Encuentre las coordenadas rectangulares del punto con coordenadas esféricas (0,0,0) = (4,5,-2), b) grafique la conversión de coordenadas. (valor a punto cada inciso) 2. a) Hallar el ángulo ob1 answer -
= [1 pt.] Considere la función f(x,y,z) = xạyºz/10 – x - y - z. Evalúe f (1,2,3). [1 pt.] Considere la función f(x,y) = In (100 – x2 - y2). Determine el dominio de f. ху [1 pt.] Demuestre1 answer -
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Find the general solution of the given differential equation. 1. (2xy – 3x2)dx + (x2 + 2y)dy = 0 2. (cos y + y cos x)dx - (x sin y - sin x)dy = 0 3. y(x + y + 1)dx + x(x + 3y + 2)dy = 0 4. (4xy + 3y1 answer -
Finding the derivative
= х 1. y = x + V √x 2. y = x+1 1 х 3. y x + 1 - 2 - x 4. y = 3 – x 5. y = cos 3x =3 answers -
solve for particular solution using exponential shift
7. (D + 3)'y = 15x2e - 3x 8. (D - 4)'y = 15x²e4x 9. DºD - 2)2y = 16e2x 10. D'D + 3) y = 9e - 3x 11. (Dº – D – 2 y = 18xe" 12. (D? - D - 2)y = 36xe2x Ans.y = 4x'e-3x Ans.y = $x*e** Ans.y = 2x%e21 answer -
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[6] Encuentre los valores para V1, V2, V3 y la corriente total en el siguiente circuito. R2 = 1622 w Ri R, = 102 Ry = 242 V, = 60 V1 answer -
[3] Encuentre la resistencia equivalente en el siguiente circuito: 20 Ω W 5Ω 16 Ω -- -- Rab 18 Ω 20 Ω W 1Ω 9Ω 2Ω ΑΛΛΑ b1 answer -
need help
Hallar la derivada de la función y = x4 + 3x2 – 6. A. 4x3 + 6 B. 4x2 + 6x C. 4x3 + 6x D.x3 + 6x1 answer -
#47
05 SOUS cos 31. y) sint - ! IST 50. T SE 0 I so1 и 1 Пs — 6р 7 ! 7 320 F42 48. r= en 47. -, . 05 13 : 1 una ayi jo miua 1X2 am pun -LV1 answer -
4, 8, 10, 12, 16
X 3-16 - Find dy/dx by implicit differentiation. 3. r + x²y + 4y2 = 6 4) x2 - 2xy + y3 = c 5. x2 + xy - y2 = 4 6. ys + x²y3 = 1 + x^y 7. y cos x = x2 + y2 8. 1 + x = sin(xy?) 9. 4 cos x sin y = 1 101 answer -
need some help
La derivada de la función 223 - x² + co 3 23 es: Seleccione una: O 6x2 – 2x 9 O 6x2 – 2x - O 6x2 2x 3 24 O 6x2 22 9 -1 answer -
help please
La derivada de la función g(t) = 23 es: Seleccione una: dy 2 dt 22/5 dy dt оо 3 5.7 2/5 dy 3 dt 5.25/2 dy dt 3 22/51 answer -
some help please
Encuentre la derivada de la expresión f(x) = x + X Seleccione una: O f'(x) = 7 1 3.22/3 5.24/5 1 1 O f'(x) = + 3.22/3 5.24/5 1 O f'(x) = 322/3 + 524/5 1 O f'(x) 1 22/3 + 24/51 answer -
I need some help
Encuentre la derivada de la expresión f(x) = - 67 2 Seleccione una: O f'(x) = tan O f'(x) = 20 22/3 3 1 + 72/3 1 o f'(x) = 2V1 2 23/2 + + o f'(x) = x 1 2V 2 22/31 answer -
1. Evaluate the iterates integrals i. e++3y dyda ii. SL $* * O 2 rsin(@)dodr iii. ту The vida, dA R := {(x, y): -11 answer