1. Let Q1 = y(7), where y solves dy dx + 8x 2 = 5x, y(6) = 4. Let Q = ln(3 + |Q1|). Then T = 5 sin2 (100Q) satisfies:— (A) 0 ≤ T < 1. — (B) 1 ≤ T < 2. — (C) 2 ≤ T < 3. — (D) 3 ≤ T < 4. — (E) 4 ≤ T ≤ 5.
2. Let Q1 = y(1), where y solves dy dx + 1.7y = 5e 1.2x , y(0) = 11. Let Q = ln(3 + |Q1|). Then T = 5 sin2 (100Q) satisfies:— (A) 0 ≤ T < 1. — (B) 1 ≤ T < 2. — (C) 2 ≤ T < 3. — (D) 3 ≤ T < 4. — (E) 4 ≤ T ≤ 5.
3.10. Let Q1 = y(3), where y solves x dy dx + 4y = 11x 5 , y(2) = 11. Let Q = ln(3 + |Q1|). Then T = 5 sin2 (100Q) satisfies:— (A) 0 ≤ T < 1. — (B) 1 ≤ T < 2. — (C) 2 ≤ T < 3. — (D) 3 ≤ T < 4. — (E) 4 ≤ T ≤ 5.
Let Q1=x(1.1) ,Q2=x(1.2), Q3=x(1.3). Then Let Q= ln(3 +|Q1|+ 2|Q2|+ 3|Q3|), Then T= 5 sin2(100Q) 1) where x=x(t) solves x′′+x= tan(t), x(0) = 1, x′(0) = 2 2) where x=x(t) solves x′′−x=te^t, x(0) = 1, x′(0) = 2. 3) where x=x(t) solves x′′−x=t^2, x(0) = 1, x′(0) = 2 4) where x=x(t) solves x′′−2x′+x=(e^t/2t), x(1) = 1, x′(1) = 2 Please show all steps and thank you!
4. Let Q1, Q2 be constants so that f(Q 10.5x + 11.5x) dx = Q2e10.52 + Q1x2 + C, where C is a constant of integration. Let Q = ln(3+IQ.1+2Q2l). Then T = 5 sinº(1000) satisfies:- (A) 0 <T <1. (B) 1 <T <2. - (C) 2 <T <3. - (D) 3<T<4. - (E) 4 <T<5.
just number 3 1. Let Q1 , Q2, Q3, Q4 be constants so that f(z) = z4 + Qiz? + Q2z? + Q32+ Q4 is the characteristic polynomial of the matrix 42 1576 9 15 21-58 19 A76 -58 234 80 L9 19 -80 201J Let Q = In(3 + IQ1 + 2lQal + 3IQal + 4IQal). Then T = 5sin"(100Q) satisfies:--(A) 2. Let Qi s Q2 S Qs S Q4 be the eigenvalues of the matrix A of Question...
9. Let Q1 S Q2 be the eigenvalues of the matrix A and Qs 1 if Qi is a defective eigenvalue and Q. - 0 otherwise, where 86 100 01-81-94 T < 1 Let Q = 1013 + IQ1 + 2(Qal + 3(Qal). Then T = 5 sin2(100Q) satisfies:-(A) 0 (B) 1 T < 2. 9. Let Q1 S Q2 be the eigenvalues of the matrix A and Qs 1 if Qi is a defective eigenvalue and Q. - 0...
4. Let (Q1.Q2.Qs)T be the least squares solution of A(Q1,.Q2.Qs)T b, where r 3 -1 5 1 -1 -13 3 13 7 -5 -20 -10 13 3 L 16 13 -13J Let Q - In(3+ IQil+2 Q2l+3 Qsl). Then T-5sin (100Q) satisfies: -(A) 0ST<1. 4. Let (Q1.Q2.Qs)T be the least squares solution of A(Q1,.Q2.Qs)T b, where r 3 -1 5 1 -1 -13 3 13 7 -5 -20 -10 13 3 L 16 13 -13J Let Q - In(3+ IQil+2...
hind the derivative. y = 12x dy + 5x + 8x, find dx O A. dy = -24x dx - 3 + 15x2 OB. dy =- - 24x - 1 + 15x² + 8 dx O C. dy dx - 24x - 1 + 15x2 OD. dy dx -3 - - 24x + 15x2 + 8
8. Evaluate $c (4xy3 + 3y) dx + (8x – 6x?y?) dy where C is the triangle formed by vertices (0, 0), (3,0), (3, 4) oriented counterclockwise
Please show steps. Given 3 dy/dx + 2xy^2 = 5x^2 - x + 1, where y(0) = 5 and using a step size of dx = 1, the value of y(1) using Euler's method is most nearly 5.333 1.010 -0.499 17.822 Given 3 dy/dx + 2xy^2 = 5x^2 - x + 1, where y(0) = 5 and using a step size of dx = 1, the value of y(1) using Runge-Kutta 4^th order method is most nearly 5.333 1.010 -0.499...
Q1: Solve the ODE: f) Vyy' + y3/2-1. y(1) = 0. g) (2x +y)dx(2x+y-1)dy 0. i) dx=xy2e": y(2)=0. j) (1 + x*)dy + (1 + y*)dx = 0; y(1) = V3. Q1: Solve the ODE: f) Vyy' + y3/2-1. y(1) = 0. g) (2x +y)dx(2x+y-1)dy 0. i) dx=xy2e": y(2)=0. j) (1 + x*)dy + (1 + y*)dx = 0; y(1) = V3.
hw help Consider the equation exin(y)+5x +1=y? Find dy dx in terms of X and y. Evaluate dx at (x,y) = (0,1). Select the correct answer. -5 5 ООО 2 Suppose that 3 xy2 = x²y + y2 + 14. dy Use implicit differentiation to find an expression for in terms of both X and y. dx dy Now give the value of when x = 3 and y = 2 dx -36 13 3 0 24 41 о ....