-may]dx = Q10: √ i= (A)-1 (B)-i (C) i Q11: The maximum value of the function f(x, y) = x²-x² mbi (Ale (A) 4.8 (B) 140.4 x2+y2 (C) 44.8 x²+y (D)- (D)+i

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 54CR
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Deferential equations, please solve questionnnnnnn 10

Deferential_equations
Ol:du = (2xy + ²) dx + (x² - 32") dy is exact differential if n = (A) 2 (B) 4 (C) 1 (D) 3
Q2: The integral f f(x,y)dx + g(x, y)dy represent: (A)curve (B)length (C)volume (D)area
Q3: The solution of (3x²y2 + 2x) dx + (2x³y)dy = 0 is:
(A)x²y³ - y² = c
Q4: The solution of the differential equation y + y - 2y = 0 is:
(B) x³y² - x² = c
(C) x²y³ + y² = c (D) x³y² + x² = c
(A)c₁e* + c₂e-2x
Q5:(1+i)¹²=
Q6: One of the following is not exact equation.
(B) ce+c₂e²x
(B)64(1 + i)
(A)64
(C) C₁e* + c₂e²x
(D) c₁e* + c₂e-2x
(C)64i
(D)-64
(A)(3x2y² + 2x) dx + (2x³y)dy = 0
(B) (3xy² + 2)dx + (2x²y)dy = 0 (C) (3x²y²)dx + (2x³y + 2y)dy = 0 (D) ydx + xdy = 0
Q7: The accuracy change in the pressure of 2.000mol of an ideal gas at0° C when its volume is
-RT
231
changed from 22 liter to 21 liter is:
(B) Z (C)
(B) x² + y²
x-ly
Q8:If z = x+iy then 2-¹ =
09:²₂ [24(1-2y)dy] dx = (A) 4.8
Q10: √ i=
(A)-1
(B)-i
(C) i
(D)/+/i
Q11: The maximum value of the function f(x, y) = e-x²-y² subject to the constraint x + y = 1 is:
(A) e
(B) √e
(C) Te
(D),
(C)
Q16: The reciprocal identity is: (A))
Q17: If z = x-ty then 7 = (A) x - iy
Q18: √2-√√2i =
Q19:/=
Q20: e=
Q12:()+(PT) v.₁
Pn
V,P
Q13: The mean of the numbers 4,5,6,...,102,103 is= (A) 54.5
Q14: (x² + 2xy + 3y²) dydx =
Q15: The cycle rule is:
(@G),G),G),
(A) √ze
(A) -i
(A) i
Z,u
(A) 231
x-ly
x²-y²
=
(A)
(B) 140.4
= 1
= -1
- (B)(x) z.M
(B) x + iy
3
(B) 2eT
(B) i
(B)-i
22
22
x+iy
(C)²+y²
(C) 44.8
(ⒸT) V.n
(B) 54.6
(B) 12
(D)
z,u
(C)21
²-ly²
(D) x² + y²
z.u
(C) -x + iy
(C) √Zei
(C) 1
(C) 1
(C)546
(D)-44.8
(B) ›),G)‚6)¸·
(D) ()(), (二)
(dy)
ax/zu
(D) 53.5
(dx)
\ay/zu
(D) 9
= 0
= du
(D) (²/²) = (y) zu
z,u
(D) -x-iy
7tti
(D) 2e +
(D)-1
(D) -1
Transcribed Image Text:Deferential_equations Ol:du = (2xy + ²) dx + (x² - 32") dy is exact differential if n = (A) 2 (B) 4 (C) 1 (D) 3 Q2: The integral f f(x,y)dx + g(x, y)dy represent: (A)curve (B)length (C)volume (D)area Q3: The solution of (3x²y2 + 2x) dx + (2x³y)dy = 0 is: (A)x²y³ - y² = c Q4: The solution of the differential equation y + y - 2y = 0 is: (B) x³y² - x² = c (C) x²y³ + y² = c (D) x³y² + x² = c (A)c₁e* + c₂e-2x Q5:(1+i)¹²= Q6: One of the following is not exact equation. (B) ce+c₂e²x (B)64(1 + i) (A)64 (C) C₁e* + c₂e²x (D) c₁e* + c₂e-2x (C)64i (D)-64 (A)(3x2y² + 2x) dx + (2x³y)dy = 0 (B) (3xy² + 2)dx + (2x²y)dy = 0 (C) (3x²y²)dx + (2x³y + 2y)dy = 0 (D) ydx + xdy = 0 Q7: The accuracy change in the pressure of 2.000mol of an ideal gas at0° C when its volume is -RT 231 changed from 22 liter to 21 liter is: (B) Z (C) (B) x² + y² x-ly Q8:If z = x+iy then 2-¹ = 09:²₂ [24(1-2y)dy] dx = (A) 4.8 Q10: √ i= (A)-1 (B)-i (C) i (D)/+/i Q11: The maximum value of the function f(x, y) = e-x²-y² subject to the constraint x + y = 1 is: (A) e (B) √e (C) Te (D), (C) Q16: The reciprocal identity is: (A)) Q17: If z = x-ty then 7 = (A) x - iy Q18: √2-√√2i = Q19:/= Q20: e= Q12:()+(PT) v.₁ Pn V,P Q13: The mean of the numbers 4,5,6,...,102,103 is= (A) 54.5 Q14: (x² + 2xy + 3y²) dydx = Q15: The cycle rule is: (@G),G),G), (A) √ze (A) -i (A) i Z,u (A) 231 x-ly x²-y² = (A) (B) 140.4 = 1 = -1 - (B)(x) z.M (B) x + iy 3 (B) 2eT (B) i (B)-i 22 22 x+iy (C)²+y² (C) 44.8 (ⒸT) V.n (B) 54.6 (B) 12 (D) z,u (C)21 ²-ly² (D) x² + y² z.u (C) -x + iy (C) √Zei (C) 1 (C) 1 (C)546 (D)-44.8 (B) ›),G)‚6)¸· (D) ()(), (二) (dy) ax/zu (D) 53.5 (dx) \ay/zu (D) 9 = 0 = du (D) (²/²) = (y) zu z,u (D) -x-iy 7tti (D) 2e + (D)-1 (D) -1
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