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...
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...
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...
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.
13. Let f(a) = r lnx for > 0. Let Q. be the point of inflection of S. Let Q3 = (Q2) be the minimum of f(x) for r > 0. Let Q = ln(3 + IQ1| + 2 Q2 + 3|Q31). Then T = 5 sinº(1000) satisfies:- (A) O ST < 1. - (B) 1 ST <2.-(C) 2 ST <3. - (D) 3 <T<4. - (E) 4 ST55.
(8') Find the least-squares solution for Az = 5 where 5 and 4 1 A= 2 -1 -2 0 -3 2 -5
Let L1 be the line passing through the points Q1=(-5, 1,-4) and Q2=(1,-8,-1) and let L2 be the line passing through the point P1=(-10, 16,-5) with direction vector d=[-1,-1,-1]T. Determine whether L1 and L2 intersect. If so, find the point of intersection Q
Question 7 (10 points] Let Ly be the line passing through the points Q1-(3,-1,-4) and Q2=(5,-3,-2) and let La be the line passing through the point P4-(12,-4, 3) with direction vector a-(-6, -6, -21". Determine whether Ly and L2 intersect. If so, find the point of intersection Q. The lines intersect at the following point Q: Q=(0,0,0)
Compute the least-squares error associated with the least-squares solution x of Ax = b 1 -3 2 194 139 -1 3 1 A= b= X = 0 2 -4 6 139 3 7 5 The least squares error is (Type an exact answer, using radicals as needed.)