Homework Answers
Background: 1. 2. Consider the linear map D: P2(R) + P1(R) defined by D(a + bx...
Background:
1.
2.
Consider the linear map D: P2(R) + P1(R) defined by D(a + bx + cx?) = (a + bx + cx?) = 6+2cx, dr and the linear map T : P1(R) + P2(R) defined by T(a + bx) = (a + bt)dt = ax + 3x2. Let a = {1,x}, B = {1, x, x?} be the standard bases for P1(R), P2 (R), respectively. We know from Calculus (a+bt)dt = a+bx. Compute [D] [T]& and verify this....
(1) We define an inner product on polynomials by (p(x), g(x) = } p(a)(ar)dx. d doc...
(1) We define an inner product on polynomials by (p(x), g(x) = } p(a)(ar)dx. d doc Compute the adjoint of the transformation : P2(R) + P1(R) using two different methods: (a) Coordinate-free: use the definition of the adjoint, d (P(x)), dx dx (b) Using coordinates: find the matrix of in terms of orthonormal bases for P2(R) and P1(R), take the transpose, and then translate back into polynomials. For example, you may use the orthonormal polynomials we found in Zoom question...
15-13 Clarified question from 13-2, Rosen (1985), 1 edition; 14-6, Rosen (1988), 2"d ed Suppose t...
15-13 Clarified question from 13-2, Rosen (1985), 1 edition; 14-6, Rosen (1988), 2"d ed Suppose there are two commodities, R and S. When a tax on R alone is imposed, the excess burden is R. When a tax on S alone is imposed, the excess burden is s. When the two taxes are imposed simultaneously, the overall excess burden is greater than AR+ Xs . In order to obtain this result, what must be true about the relationship amongst the...
PLEASE SHOW ALL WORKING. 2. Find den if d. y = 2e2 cosh x €2x +1...
PLEASE SHOW ALL WORKING.
2. Find den if d. y = 2e2 cosh x €2x +1 3. Find all functions y which satisfy 0-7204 – 2.ve=”y=0. du
4. For this question, we define the following matrices: 1-2 0 To 61 C= 0 -1...
4. For this question, we define the following matrices: 1-2 0 To 61 C= 0 -1 2 , D= 3 1 . [3 24 L-2 -1] (a) For each of the following, state whether or not the expression can be evaluated. If it can be, evaluate it. If it cannot be, explain why. i. B? +D ii. AD iii. C + DB iv. CT-C (b) Find three distinct vectors X1, X2, X3 such that Bx; = 0 for i =...
10 and 11 please and TY! all parts x + 2 1 1 4 10. Solve...
10 and 11 please and TY! all parts
x + 2 1 1 4 10. Solve the following equations 2 11 a) +-= 3x 6.x 3 b) V = nr. solve for r. c) 25cos? - 2 = 0 d) 7x + 2 + x = 6 4 y pas I CA 11. Do the indicated operation and write the answer in the complex form a + bi. a) (-5+71)-(-2 +31) b) (6+71)2 -3-2i c) CRE 5+2i
the ty d. meiosis I metaphase e. mitosis metaphase ogenes cell cyd e, and acer. To...
the ty d. meiosis I metaphase e. mitosis metaphase ogenes cell cyd e, and acer. To at hov cancer WW the role a In white fruit color in summer squash is governed by an epistatic dominant gene w by its recessive allele (w). Yellow fruit is governed by an independently assorting gene (Y) and green by its recessive allele (v). When dihybrid plants are crossed, the offspring appear in the ratio of 12 white : 3 yellow : 1 green....
4. Suppose the matrix equation Az(t) =#(ty has the property that /2 0 0 D =0...
4. Suppose the matrix equation Az(t) =#(ty has the property that /2 0 0 D =0 1 0 (0 0 -7, and a change of basis matrix given by T 1 1 P = 1 e 1 Compute the solution f(t), and write down the n-th order differential equation associated to the matrix A
4. Suppose the matrix equation Az(t) =#(ty has the property that /2 0 0 D =0 1 0 (0 0 -7, and a change of basis...
Equations: p + q = 1 p 2 + 2pq + q 2 = 1 Three-way cross [(P1 x P2) x P3] predicted from F1's: 1/...
Equations: p + q = 1 p 2 + 2pq + q 2 = 1 Three-way cross [(P1 x P2) x P3] predicted from F1's: 1/2[F1(P1 x P3) + F1(P2 x P3)] Double cross [(P1 x P2) x (P3 x P4)] predicted from F1's: 1/4[F1(P1 x P3) + F1(P1 x P4) + F1(P2 x P3) + F1(P2 x P4)] V p = V A + V E + V D V G = V A + V D V E...
QUESTION (1) Transistor Mi in this common base amplifier circuit has the following characteristics: +Vc VTH...
QUESTION (1) Transistor Mi in this common base amplifier circuit has the following characteristics: +Vc VTH =1 V Rp R, C. K 1 mA/V2 2 0.1 R Given: Vcc 2 mA, 10 V, lbias Ct C2 0, 5 k2, RD 2 k2 RI 10 k, R2 R (12 points) a) Determine the small signal gain, vo/Vin. (4 points) b) Determine the input resistance, Rin. (4 points) c) Determine the output resistance, Ro. Useful formulae: for n-channel MOSFET triode region =...
Background:
1.
2.
Consider the linear map D: P2(R) + P1(R) defined by D(a + bx + cx?) = (a + bx + cx?) = 6+2cx, dr and the linear map T : P1(R) + P2(R) defined by T(a + bx) = (a + bt)dt = ax + 3x2. Let a = {1,x}, B = {1, x, x?} be the standard bases for P1(R), P2 (R), respectively. We know from Calculus (a+bt)dt = a+bx. Compute [D] [T]& and verify this....
(1) We define an inner product on polynomials by (p(x), g(x) = } p(a)(ar)dx. d doc Compute the adjoint of the transformation : P2(R) + P1(R) using two different methods: (a) Coordinate-free: use the definition of the adjoint, d (P(x)), dx dx (b) Using coordinates: find the matrix of in terms of orthonormal bases for P2(R) and P1(R), take the transpose, and then translate back into polynomials. For example, you may use the orthonormal polynomials we found in Zoom question...
15-13 Clarified question from 13-2, Rosen (1985), 1 edition; 14-6, Rosen (1988), 2"d ed Suppose there are two commodities, R and S. When a tax on R alone is imposed, the excess burden is R. When a tax on S alone is imposed, the excess burden is s. When the two taxes are imposed simultaneously, the overall excess burden is greater than AR+ Xs . In order to obtain this result, what must be true about the relationship amongst the...
PLEASE SHOW ALL WORKING.
2. Find den if d. y = 2e2 cosh x €2x +1 3. Find all functions y which satisfy 0-7204 – 2.ve=”y=0. du
4. For this question, we define the following matrices: 1-2 0 To 61 C= 0 -1 2 , D= 3 1 . [3 24 L-2 -1] (a) For each of the following, state whether or not the expression can be evaluated. If it can be, evaluate it. If it cannot be, explain why. i. B? +D ii. AD iii. C + DB iv. CT-C (b) Find three distinct vectors X1, X2, X3 such that Bx; = 0 for i =...
10 and 11 please and TY! all parts
x + 2 1 1 4 10. Solve the following equations 2 11 a) +-= 3x 6.x 3 b) V = nr. solve for r. c) 25cos? - 2 = 0 d) 7x + 2 + x = 6 4 y pas I CA 11. Do the indicated operation and write the answer in the complex form a + bi. a) (-5+71)-(-2 +31) b) (6+71)2 -3-2i c) CRE 5+2i
the ty d. meiosis I metaphase e. mitosis metaphase ogenes cell cyd e, and acer. To at hov cancer WW the role a In white fruit color in summer squash is governed by an epistatic dominant gene w by its recessive allele (w). Yellow fruit is governed by an independently assorting gene (Y) and green by its recessive allele (v). When dihybrid plants are crossed, the offspring appear in the ratio of 12 white : 3 yellow : 1 green....
4. Suppose the matrix equation Az(t) =#(ty has the property that /2 0 0 D =0 1 0 (0 0 -7, and a change of basis matrix given by T 1 1 P = 1 e 1 Compute the solution f(t), and write down the n-th order differential equation associated to the matrix A
4. Suppose the matrix equation Az(t) =#(ty has the property that /2 0 0 D =0 1 0 (0 0 -7, and a change of basis...
QUESTION (1) Transistor Mi in this common base amplifier circuit has the following characteristics: +Vc VTH =1 V Rp R, C. K 1 mA/V2 2 0.1 R Given: Vcc 2 mA, 10 V, lbias Ct C2 0, 5 k2, RD 2 k2 RI 10 k, R2 R (12 points) a) Determine the small signal gain, vo/Vin. (4 points) b) Determine the input resistance, Rin. (4 points) c) Determine the output resistance, Ro. Useful formulae: for n-channel MOSFET triode region =...
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