Homework Answers
5. Let u = [0,1,1), v = (-5, -4,6.7), and P = (4.–5.6). In the following,...
5. Let u = [0,1,1), v = (-5, -4,6.7), and P = (4.–5.6). In the following, when rounding numbers, round to 4 decimal places. (i) Find the parametric form of the equation of the plane P. containing P and with direction vectors u and v. (ii) Find the parametric form of the equation of one of the two planes that are parallel to P, and distance 1 away from P1.
5. Let u = [0,1,1), v= (-5, -4,6.7], and P = (4, -5,6). In the following,...
5. Let u = [0,1,1), v= (-5, -4,6.7], and P = (4, -5,6). In the following, when rounding numbers, round to 4 decimal places. (i) Find the parametric form of the equation of the plane Pi containing P and with direction vectors u and v. (ii) Find the parametric form of the equation of one of the two planes that are parallel to P1 and distance 1 away from P1.
Q2. Let u and v be non-parallel vectors in Rn and define Suv (a) Does the point r lie on the straight line through q with direction vector p? (b) Does the point s lie on the straight line through...
Q2. Let u and v be non-parallel vectors in Rn and define Suv (a) Does the point r lie on the straight line through q with direction vector p? (b) Does the point s lie on the straight line through q with direction vector p? (c) Prove that the vectors s and p -r are parallel. (d) Find the intersection point of the line {q+λ p | λ E R} and the line through the points u and v. Q3....
3. Find the derivative using the quotient rule. 2e* f(x) = x-1 4. Let u and...
3. Find the derivative using the quotient rule. 2e* f(x) = x-1 4. Let u and y be differentiable functions of x. Find the value of the indicated derivative using the given information. Pay careful attention to notation. du Find dx v at x =1 if u(1) = 3, u'(1)=-5, v(1)=7, v'(1)=-3
Carefully draw the line segment PQ that connects P=(4, 5, -3) and Q=(0, -4, 2) ....
Carefully draw the line segment PQ that connects P=(4, 5, -3) and Q=(0, -4, 2) . Include dotted vertical lines from the xy-plane to P and Q to show perspective. Find the distance between P and Q, from the previous problem. Then find the coordinates of the midpoint of the line segment PQ . Let u= -3i+5j+7k and v= 10i+j-2k . Show that u × v is orthogonal to the vector v .
4. Let G : P(R) → P2(R) be a linear map given by G(u)(x) = (x...
4. Let G : P(R) → P2(R) be a linear map given by G(u)(x) = (x + 1)u'r) - ur). Is G diagonalizable? If it is, find a basis of P(R) in which G is represented by a diagonal matrix 5. Let V = P2(C). Show that the operator (.) given by (u, v) = u(0) v(0) + u(1) v(1) + u(2) v(2) Vu, v E V is an inner product on V.
plz solve both 6. Let u = PQ and v = PR P= (5,0,0), Q =...
plz solve both
6. Let u = PQ and v = PR P= (5,0,0), Q = (4,4,0), R = (2,0,6) a. Find u v b. Find v.v 7. u = 4i + 3j + 6k V = 5i +2j+k a. Find ux v b. Find vxu c. Find vxv
Find dy dx if y = In(x2/x + 5). dy dx Find dp da if p...
Find dy dx if y = In(x2/x + 5). dy dx Find dp da if p = In 91 9 in(92-5). dp bp Find if p = In(94 + + 5). da dp da II
2. Let U and V be independent random variables, with P(U 1) 1/4 and P(U =...
2. Let U and V be independent random variables, with P(U 1) 1/4 and P(U = -1) = P(V -1) 1) = P(V 3/4. Define X = U/V and Y = U V (a) Give the joint pmf of X and Y [4] (b) Calculate Cov(X,Y) [4]
2. Let U and V be independent random variables, with P(U 1) 1/4 and P(U = -1) = P(V -1) 1) = P(V 3/4. Define X = U/V and Y = U V...
Please show work ln 2 is wrong 8.0.2 Let u = 1 – 16x2. For the...
Please show work
ln 2 is wrong
8.0.2
Let u = 1 – 16x2. For the integral with respect to u, one limit of integration will be 1. What is the other limit of integration? 2 S04 -da 1-16x2 Which part of the integrand should you choose as u? 1 5 (4) · 24 · In 2 dit 22 In 2 1 220 Evaluate the derivative of the integral function. d dic S22 ( 7 20 dz 23-1 -2 8203-1...
5. Let u = [0,1,1), v = (-5, -4,6.7), and P = (4.–5.6). In the following, when rounding numbers, round to 4 decimal places. (i) Find the parametric form of the equation of the plane P. containing P and with direction vectors u and v. (ii) Find the parametric form of the equation of one of the two planes that are parallel to P, and distance 1 away from P1.
5. Let u = [0,1,1), v= (-5, -4,6.7], and P = (4, -5,6). In the following, when rounding numbers, round to 4 decimal places. (i) Find the parametric form of the equation of the plane Pi containing P and with direction vectors u and v. (ii) Find the parametric form of the equation of one of the two planes that are parallel to P1 and distance 1 away from P1.
Q2. Let u and v be non-parallel vectors in Rn and define Suv (a) Does the point r lie on the straight line through q with direction vector p? (b) Does the point s lie on the straight line through q with direction vector p? (c) Prove that the vectors s and p -r are parallel. (d) Find the intersection point of the line {q+λ p | λ E R} and the line through the points u and v. Q3....
3. Find the derivative using the quotient rule. 2e* f(x) = x-1 4. Let u and y be differentiable functions of x. Find the value of the indicated derivative using the given information. Pay careful attention to notation. du Find dx v at x =1 if u(1) = 3, u'(1)=-5, v(1)=7, v'(1)=-3
4. Let G : P(R) → P2(R) be a linear map given by G(u)(x) = (x + 1)u'r) - ur). Is G diagonalizable? If it is, find a basis of P(R) in which G is represented by a diagonal matrix 5. Let V = P2(C). Show that the operator (.) given by (u, v) = u(0) v(0) + u(1) v(1) + u(2) v(2) Vu, v E V is an inner product on V.
plz solve both
6. Let u = PQ and v = PR P= (5,0,0), Q = (4,4,0), R = (2,0,6) a. Find u v b. Find v.v 7. u = 4i + 3j + 6k V = 5i +2j+k a. Find ux v b. Find vxu c. Find vxv
Find dy dx if y = In(x2/x + 5). dy dx Find dp da if p = In 91 9 in(92-5). dp bp Find if p = In(94 + + 5). da dp da II
2. Let U and V be independent random variables, with P(U 1) 1/4 and P(U = -1) = P(V -1) 1) = P(V 3/4. Define X = U/V and Y = U V (a) Give the joint pmf of X and Y [4] (b) Calculate Cov(X,Y) [4]
2. Let U and V be independent random variables, with P(U 1) 1/4 and P(U = -1) = P(V -1) 1) = P(V 3/4. Define X = U/V and Y = U V...
Please show work
ln 2 is wrong
8.0.2
Let u = 1 – 16x2. For the integral with respect to u, one limit of integration will be 1. What is the other limit of integration? 2 S04 -da 1-16x2 Which part of the integrand should you choose as u? 1 5 (4) · 24 · In 2 dit 22 In 2 1 220 Evaluate the derivative of the integral function. d dic S22 ( 7 20 dz 23-1 -2 8203-1...
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