## Question

###### 7. Y1' =2Y1 - Yz + Inx Yz' = 4y1 - 2Y28. y" - (3 cotx)y' - Zy=0. Note that Y1 = cos xis one solution.

7. Y1' =2Y1 - Yz + Inx Yz' = 4y1 - 2Y2 8. y" - (3 cotx)y' - Zy=0. Note that Y1 = cos xis one solution.

## Answers

#### Similar Solved Questions

5 answers

##### An observer approaches stationary source, that is emitting 500 Hz sound Wave what approach velocity must the observer approach the source to observe 10 percent increase in frequency? Use 330 m sec as the velocity of sound.

An observer approaches stationary source, that is emitting 500 Hz sound Wave what approach velocity must the observer approach the source to observe 10 percent increase in frequency? Use 330 m sec as the velocity of sound....

5 answers

##### 3. (15 points) Find equations of the osculating circles of the ellipse 922 + 4y2 = 36 at the points (2, 0) and (0,3)_

3. (15 points) Find equations of the osculating circles of the ellipse 922 + 4y2 = 36 at the points (2, 0) and (0,3)_...

5 answers

##### (30 points) The 8 * matrixsymmetric andsatisfies 4? (a) Find all eigenvalues of _ and the determinant of _ (b) What the rank of the matrix consisting of the first four columns o A? (c) Explain brielly why the subspace of R" spanned by the first four column of onthogonal complement of the Iast four cnc On (d) Let vector project onto the first column o Wc ust' denote projection matrix which makes Py In this question, 4n # - mattix and all of those 64 entries Jre the same number What this

(30 points) The 8 * matrix symmetric and satisfies 4? (a) Find all eigenvalues of _ and the determinant of _ (b) What the rank of the matrix consisting of the first four columns o A? (c) Explain brielly why the subspace of R" spanned by the first four column of onthogonal complement of the Iast...

5 answers

##### The demand for personal computers the home goes up with household income 0.3455 In * - .047 10,000 125,000given community;can approximate the average number of computershomewhere * is mean householo income The average number computens per household in Your towm household income in your torin? (Round your answer the nearest $10.) 21835 760.4 and increasingrate of .03 computers per household per vear What the averageHow fast 1896.01increasing? (Round your answer to the nearest 510.) per Year

The demand for personal computers the home goes up with household income 0.3455 In * - .047 10,000 125,000 given community; can approximate the average number of computers home where * is mean householo income The average number computens per household in Your towm household income in your torin? (R...

2 answers

##### Given the following periodic function; write the function as the rule {(@) and find the fourier coefficients d, &n, and ba Also write the first several terms of the fourier expansion: (20; (304)7 740 OlGltt TLO Lztf(o) (as a piecewise defined function)bnf(0) (as an infinite series)

Given the following periodic function; write the function as the rule {(@) and find the fourier coefficients d, &n, and ba Also write the first several terms of the fourier expansion: (20; (304) 7 7 40 OlGltt TLO Lzt f(o) (as a piecewise defined function) bn f(0) (as an infinite series)...

4 answers

##### A ssrrain stcelrodis 125 minlensth = Fand 1 pts 0.65 5 mm'(ct #448]/8 "C merchs 6 0ke Woaruch 11*l0* C] thcrm)l energy iS required Incre Sp Bosk] length of therod by5oVi127UQuestlonJon

A ssrrain stcelrodis 125 minlensth = Fand 1 pts 0.65 5 mm'(ct #448]/8 "C merchs 6 0ke Woaruch 11*l0* C] thcrm)l energy iS required Incre Sp Bosk] length of therod by 5o Vi 127U Questlon Jon...

5 answers

##### 50. f(x) Vx - 5,g(x) VsIn Exercises 51-66, find (f e g)(x) b. (g o f)(x) (f e 8)(2) 51 . f(x) 2x,glx) = x + 7 52. f(x) = 3x, g(x) = x - 5 53. f(x) =x + 4,g(x) 4 - | 54,) f(x) Sx + 2,g(x) 3x - 4 55. f(x) = 4x - 3,g(x) Sx2 56. f(x) Tx + 1,g(x) 242 57. f(x) = x 2, g(x) 58 fkx) = x + [,8(x) = x _ 59 . f(x) = 4 - x B(x) = 2x2 + x + 5 60. f(x) Sx = 2,g(r) 7X + 4x 61. f(x) Vx, 86) =x - 62. f(x) Vx gl) = x +4 (G 2 0)(2)7063. f(x) 2x - 3.g()64. f(x) 6x - 3,g()65. f(x)g(x)Ine the66. f(x)g(x)In Exercises 6

50. f(x) Vx - 5,g(x) Vs In Exercises 51-66, find (f e g)(x) b. (g o f)(x) (f e 8)(2) 51 . f(x) 2x,glx) = x + 7 52. f(x) = 3x, g(x) = x - 5 53. f(x) =x + 4,g(x) 4 - | 54,) f(x) Sx + 2,g(x) 3x - 4 55. f(x) = 4x - 3,g(x) Sx2 56. f(x) Tx + 1,g(x) 242 57. f(x) = x 2, g(x) 58 fkx) = x + [,8(x) = x _ 59 . ...

4 answers

##### Question 40): A uniformly charged solid spherical insulator has a radius of 0.4m: The total charge in the volume is 3.4 uC What is the Electric field at a position of 0.2m from the center of the sphere?With steps:Question 41):If the electric field just above the surface of a large flat copper sheet is 130N/C; what is the surface charge density on the sheet?With steps:

Question 40): A uniformly charged solid spherical insulator has a radius of 0.4m: The total charge in the volume is 3.4 uC What is the Electric field at a position of 0.2m from the center of the sphere? With steps: Question 41): If the electric field just above the surface of a large flat copper she...

5 answers

##### How many hydrogen bonds link a guanine-cytosine base pair? an adenine-uracil base pair? Would you expect any difference in strength between guanine-cytosine bonding and adenine-uracil bonding? Explain.

How many hydrogen bonds link a guanine-cytosine base pair? an adenine-uracil base pair? Would you expect any difference in strength between guanine-cytosine bonding and adenine-uracil bonding? Explain....

5 answers

##### Find the chromatic index 1'(G) forThe Mobius graph on vertices The Peterson graphs

Find the chromatic index 1'(G) for The Mobius graph on vertices The Peterson graphs...

5 answers

##### True-breeding black; norma (blb vg+Nvg+) flies were crossed with true-breeding norma vestigial (b+/b+vglvg) flies F1 wild type (b+/bvg+Ivg) flies were testcrossed with black; vesitigial (b/b vglvg) flies and the following progeny were counted: 283 wild type for both phenotypes1,294 wild type body, vestigial wings1,418 black body, wild type wings 24L black body_vestigiaL wingsTotal = 3,236 progenyCalleal valuet elIna !uhtlrtlulluBased on previous work; you believe these loci to be unlinked and i

True-breeding black; norma (blb vg+Nvg+) flies were crossed with true-breeding norma vestigial (b+/b+vglvg) flies F1 wild type (b+/bvg+Ivg) flies were testcrossed with black; vesitigial (b/b vglvg) flies and the following progeny were counted: 283 wild type for both phenotypes 1,294 wild type body, ...

1 answers

##### Consider the function $f(x, y)=x^{2}+x y+y^{2}$ defined on the unit disc, namely, $D=\left\{(x, y) | x^{2}+y^{2} \leq 1\right\}$ Use the method of Lagrange multipliers to locate the maximum and minimum points for $f$ on the unit circle. Use this to determine the absolute maximum and minimum values for $f$ on $D.$

Consider the function $f(x, y)=x^{2}+x y+y^{2}$ defined on the unit disc, namely, $D=\left\{(x, y) | x^{2}+y^{2} \leq 1\right\}$ Use the method of Lagrange multipliers to locate the maximum and minimum points for $f$ on the unit circle. Use this to determine the absolute maximum and minimum values f...

5 answers

##### I) Bromine test was applied on a colorless solution of 1. 91 moles ofa hydrocarbon A The solution color kept turning back to colorless from red until one drop of Brz was added after the addition of 9.56 moles of Brz:1. Therefore, we can conclude that A has T - bonds. Knowing that A has one triple bond only, how many double bonds does it have?II) Bromine test was applied on a colorless solution of 1 40 moles of a hydrocarbon B. The solution color kept turning back to colorless from red until one

I) Bromine test was applied on a colorless solution of 1. 91 moles ofa hydrocarbon A The solution color kept turning back to colorless from red until one drop of Brz was added after the addition of 9.56 moles of Brz: 1. Therefore, we can conclude that A has T - bonds. Knowing that A has one triple ...

5 answers

##### Problem 1-L. [20 points] Finding the World Transform An object is located at position (69,420.25.807) . Its orientation can be expressed as & rotation by 90 degrees about the negative â‚¬ axis. It has been scaled by the vector (2,1,~1}. Find:(a) [S points] Its translation matrix (b) [5 points] Its rotation matrix (c) [5 points] Its scale matrix (d) [5 points] Its world matrixEach answer should be given in the form of a 4 x 4 matrix containing fully simplified expressions. The rotation matrix

Problem 1-L. [20 points] Finding the World Transform An object is located at position (69,420.25.807) . Its orientation can be expressed as & rotation by 90 degrees about the negative â‚¬ axis. It has been scaled by the vector (2,1,~1}. Find: (a) [S points] Its translation matrix (b) [5 poin...

5 answers

##### 2) (2 points) The mechanism has two steps the second is the easiest, SO we will do that first Sulfolene decomposes to a gas molecule and 1,3-butadiene The butadiene formed can then react with maleic anhydride. Draw the mechanism of this Diels-Alder cycloaddition.140C3) (2 points) That leaves the question of how sulfolene decomposes to 1,3-butadiene and SOz- Draw the mechanism of the cycloreversion reaction, bearing in mind the structure of SOz and the fact that this is essentially a reverse Diel

2) (2 points) The mechanism has two steps the second is the easiest, SO we will do that first Sulfolene decomposes to a gas molecule and 1,3-butadiene The butadiene formed can then react with maleic anhydride. Draw the mechanism of this Diels-Alder cycloaddition. 140C 3) (2 points) That leaves the q...

5 answers

##### Find the mass of the solid paraboloid D = {(1,0.2): 0s2 < 36-r2,0 sr s 6} with density p(r,0.2) = 1 + 36Set up the triple integral using cylindrical coordinates that should be used to find the mass of the solid paraboloid as efficiently as possible Use increasing limits of integration{[e dz dr du

Find the mass of the solid paraboloid D = {(1,0.2): 0s2 < 36-r2,0 sr s 6} with density p(r,0.2) = 1 + 36 Set up the triple integral using cylindrical coordinates that should be used to find the mass of the solid paraboloid as efficiently as possible Use increasing limits of integration {[e dz dr ...

5 answers

##### Questions and 2 For each question, an unknown sample was tested for its identity. The test results were recorded as shown in the respective Tables. (1) In each test; identify the group of compound(s) present In the conclusion section; specify the identitylname(s) of the molecule(s) in the sample that would give such test results_Question (5 points) Table 1. Test results of an unknown sample Test Observations Group of compound presentMolisch's testViolet ringAnswer 1.1lodine testYellowAnswer

Questions and 2 For each question, an unknown sample was tested for its identity. The test results were recorded as shown in the respective Tables. (1) In each test; identify the group of compound(s) present In the conclusion section; specify the identitylname(s) of the molecule(s) in the sample tha...

5 answers

##### The population of trout in a lake grows according to the logistic equation, and the carrying capacity of the lake is 9000 trout(a) (4 pts) Let Plt) be the size of trout population at time t (in years), where P is measured in 1000s of trout_ Suppose that P(O) = 3 and P(1) = 3.5. What will the trout population be at time t-6?(b) (2 pts) When the trout population reaches 6000 (P(t) 6) , the local fish and game authority opens the lake to trout fishing: Assuming that trout are harvested from the lak

The population of trout in a lake grows according to the logistic equation, and the carrying capacity of the lake is 9000 trout (a) (4 pts) Let Plt) be the size of trout population at time t (in years), where P is measured in 1000s of trout_ Suppose that P(O) = 3 and P(1) = 3.5. What will the trout ...

5 answers

##### Select one: mol S? 0.64 16 712.8 3.2 8 On analysis, 0 vessel an equilibrium Calculate the 1 H "conssv 1 this , Saction (ound [0 contain [

Select one: mol S? 0.64 16 712.8 3.2 8 On analysis, 0 vessel an equilibrium Calculate the 1 H "conssv 1 this , Saction (ound [0 contain [...