4. Let Q1, Q2 be constants so that f(Q 10.5x + 11.5x) dx = Q2e10.52 +...
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...
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.
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.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...
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. f(x) is a continuous function on [0, 1] and So f (x)dx = a, where a is constant. Evaluate the following double integral f(x)f(y)dydx. (Hint: Change the order of the integration and use the property of the double integral, so that you can apply Fubini's theorem.)
1. Theorem 4.1 (Master Theorem). Let a 2 1 and b >1 be constants, let f(n) be a function, and let T(n) be defined on the nonnegative integers by the recurrences T(n)- aT(n/b) + f(n) where we take n/b to be either 1loor(n/b) or ceil(n/b). Then T(n) has the following asymptotic bounds. 1. If f(n) O(n-ss(a)-) for some constant e > 0, then T(n) = e(n(a). 2. If f(n) e(n(a), then T(n)- e(nlot(a) Ig(n)). 3. If f(n)-(n(a)+) for some constant...
Let L1 be the line passing through the points Q1(−2, −5, −3) and Q2(2, −3, −1) and let L2 be the line passing through the point P1(11, 1, 4) with direction vector d=[3, 1, 2]T. Determine whether L1 and L2 intersect. If so, find the point of intersection Q.
Let L1 be the line passing through thr points Q1=(-4,-5,-2)
and Q2=(0,-7,2). Find a value of k so the line L2 passing through
the point P1=(7,-9,k) with direction vector d=[-1,-1,0]^t
intersects with L1
K=??
Question 2 [10 points) Let Ly be the line passing through the points Or.-5. 2) and Q-0-72) Find a value of k so the line passing through the point Ps-P;(7.-9. k) with direction vector i/-/-1,-1.0" intersects with L ko