Calculus Archive: Questions from July 03, 2022
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Use implicit differentiation: 9. Find y': 2y - 4y² + 6x³ = 7 10. Find y': a. In y³ + 2xey = x² b. Evaluate y' for (-1,1)1 answer -
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#5,32,33,36,54 the answers:
Solve the differential equations by separation of variables. Where reasonable, express the family of solutions as explicit functions of x. 1. 3. . 5. dy y dx X √1 + x² dy 1 + y dx (2 + 2y²)y' = ex1 answer -
Solve the differential equation. dv dx = 7x6e-y : ○ A) y = x² + C B) y = ln (x7 + C) ○ C) y = ln (7x7 + C) O D) y = C In (x²)1 answer -
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need help with this excersices, i'll appreciate it! thx!
Instrucciones: Evalúe cada integral presentando todo su proceso en forma clara y ordenada. Ejercicio con respuesta correcta sin el proceso adjunto que lo justifique, recibirá 1 punto. Tiene 2 oportu1 answer -
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Given sina + cos y = sin a cos y, O cos z (cos 2+1) sin y (sin y+1) O cos y (cos 2-1) sin z (sin y-1) O cos y (cos z+1) sin z (sin g+1) O cos z (cos y -1) sin y (sin z - 1) Find1 answer -
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Find dy/dx of y = ex² In O x y = x²(2 ln x + 1) y = enx (In x + 1) y = x²x² (2x ln x + x) Ⓒy' = xer? y = xe'lnx(2lnx+1)1 answer -
dy -16x (4x²-2)³, y(1) = 11 = dx Solve the initial value problem. dy dx = 16x (4x²-2) ³. y(1)=11 A. y = 12 (4x²-2) 4-3 1 2 O B. y= O c. y= OD. y = y= 1 3 (4x²-2) 4 +3 (4x²-2)4 +3 (4x²-2) ³+33 answers -
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31 Given u(x, y, z) = x uz(x, y, z) = uy(2, 3, 2) = uz(r, y, z) = = Hint: (a)' = a In(a) Hint 2: Recall x = e² find eln(z) and ln(x) = r ln(x).3 answers -
Given sinx+cos y sin x cos y, 1) cos x (cos y sin y (sin x - 1) cos y sin x cos y sin x (cos x - 1) 1 (sin y - 1) (cos x + 1) (sin y + 1) cos x (cos x + 1) sin y (sin y + 1) Find dy dx1 answer -
O y = * cos(xy+1) y cos(xy)-1 Oy=- O y = - y cos(ry)+1 x cos(xy)-1 y cos(xy)+1 x cos(xy)-1 ○ y' = − - x cos(xy+1) y cos(xy)-1 sin(xy) = y - x3 answers -
Given sinx+cos y = sin x cos y, Find cos a (cos y -1) sin y (sin - 1) cos y (cos x-1) sina (sin y-1) cosa (cos x+1) sin y (sin y+1) cos y (cos x+1) sin ar (sin y+1) 3191 answer -
Given: z = xlny - O 2x+11n4 y³ 2x+1 in ²2 y³ T y² 2x+2 in2 13 2x+1 ln²2 y3 2.x y + y sinh√x ہے W find 24z əxəyəxəy1 answer -
Find the derivative of y = arccos x + O y' = - O y = 3 -(1-x²) +-1-2² (1-2²)² 0y = √² + 1+2x² (1-2²)² -1 0 y = √√/1/²/2/2² + 1+2² (1-²)² 2 √1- 1+z² (1-²)² X 1-x²3 answers -
Given sina + cos y = sin a cos y, cos a (cos *+1) sin y (sin y+1) cos y (cos x+1) sin æ (sin y+1) O cos y (cos x-1) sin a (sin y-1) cos a (cos y -1) sin y (sin 2 - 1) Find dy da3 answers -
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4x 7. y= 3x+1 9. y = 15²x 11. y = 2¹¹ (7x¹-8x + 1) 13. a. (7x²w² + 4ax) b. (7x²w² + 4ax) C. (7x²w² + 4ax) dw 8. y=sin(x -sin 4x) = √(t* +3)³ 10. W = 12. y = tan-¹(e) Find the derivative1 answer -
If y" -6y +9y = 5t², y (0) = 0, y' (0) = 1, what is the Laplace transform of y? O s²-68+9 82-6s+9 + 10 $³ (8²-68+9) 10 + 8²-68+9 5³ (5²-68+9) 10 (3²-65+9) (D² + 2)y= y(0)=0 y'(0)=0 Find L{y}3 answers -
Given: Find : u(s) = L{x} (4-8²) s² (8²+2) (8²-4) 8² (8²+2) (4+58²) 8² (8²+2) x'(t) + 2y(t) = 1 x(t) - y'(t) = 2t (4+8²) 8² (8²+2) where, x(0) = y(0) = 01 answer