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(A)-1 (B)-{ 11: The maximum value of the function f(x, y) = e-x²-y² (A) e (B) √e (0)// 12: (37) + (2) P.M ap an = au (D)- (C) i (D)+i subject to the constraint x + y (D) ² (C) 44.8 du caus cau

(A)-1 (B)-{ 11: The maximum value of the function f(x, y) = e-x²-y² (A) e (B) √e (0)// 12: (37) + (2) P.M ap an = au (D)- (C) i (D)+i subject to the constraint x + y (D) ² (C) 44.8 du caus cau

Calculus For The Life Sciences
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 11

**Differential Equations Quiz** **Q1:** \[ du = \left(2xy + 9x^2\right)dx + \left(x^2 - \frac{3}{y}\right)dy \] is exact differential if \( n = \): - (A) 2 - (B) 4 - (C) 1 - (D) 3 **Q2:** The integral \[ \int (f(x,y)dx + g(x,y)dy \] represents: - (A) curve - (B) length - (C) volume - (D) area **Q3:** The solution of \[ (3x^2y^2 + 2xy)dx + (2x^3y + y)dy = 0 \] is: - (A) \(x^2y^3 = \frac{1}{2} \) - (B) \( x^2 + y^3 = 0 \) - (C) \( x + y = 0 \) - (D) \( x^2y^2 = c \) **Q4:** The solution of the differential equation \[ y'' + 5y' = 0 \] is: - (A) \( c_1 e^{-5x} + c_2 e^{-2x} \) - (B) \( c_1 x y + c_2 x^2 y^2 \) - (C) \( c_1 e^{3x} + y^2 \) - (D) \( c_1 e^{5 x} + c_2 e^{2 x} \) **Q5:** \[ \int \left( 4 + \frac{1}{x} \right)dx \] is: - (A) \(\ln e^{4x}\) - (B) 64 - (C) 48 - (D) 12 **Q6:** One of the following is NOT an exact equation. - (A) \( (3x^2y^2 + 2x)dx + (2x^3y + 2y)dy = 0 \) - (B) \( ydx + xdy = 0 \) - (C) \( 2y
Transcribed Image Text:**Differential Equations Quiz** **Q1:** \[ du = \left(2xy + 9x^2\right)dx + \left(x^2 - \frac{3}{y}\right)dy \] is exact differential if \( n = \): - (A) 2 - (B) 4 - (C) 1 - (D) 3 **Q2:** The integral \[ \int (f(x,y)dx + g(x,y)dy \] represents: - (A) curve - (B) length - (C) volume - (D) area **Q3:** The solution of \[ (3x^2y^2 + 2xy)dx + (2x^3y + y)dy = 0 \] is: - (A) \(x^2y^3 = \frac{1}{2} \) - (B) \( x^2 + y^3 = 0 \) - (C) \( x + y = 0 \) - (D) \( x^2y^2 = c \) **Q4:** The solution of the differential equation \[ y'' + 5y' = 0 \] is: - (A) \( c_1 e^{-5x} + c_2 e^{-2x} \) - (B) \( c_1 x y + c_2 x^2 y^2 \) - (C) \( c_1 e^{3x} + y^2 \) - (D) \( c_1 e^{5 x} + c_2 e^{2 x} \) **Q5:** \[ \int \left( 4 + \frac{1}{x} \right)dx \] is: - (A) \(\ln e^{4x}\) - (B) 64 - (C) 48 - (D) 12 **Q6:** One of the following is NOT an exact equation. - (A) \( (3x^2y^2 + 2x)dx + (2x^3y + 2y)dy = 0 \) - (B) \( ydx + xdy = 0 \) - (C) \( 2y
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