Q: f(x, y) = Find fx, fxy, and fxyx. 7 8x+5 + 8x³ e-8y
A: The given function is; f(x,y)=7/(8x+5) +8x3/e-8y.
Q: Find the solution. (D2+4D+4)y=0; when x =0, y=1, y'=-1. Ay = (1 – x)e2r y = (2 + 3x)e- y = (1 +…
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Q: (D³ – 4D²D'+ 5DD² – 2D ) z = e'*2* + Vy +x.
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Q: Find the solution. 2y" - 3y' + y = 0 (A By = c,e 1- ©y = c,e Dy =c,e
A: Find roots of characteristic equation of given differential equation .If roots are real and…
Q: D'y- 4. (4D - 4D³ - 23D2 + 12D +36)y = 0 5. (D° + 3D² + 3D + 2)y = 0 Dy +y = 0
A: The given differential equation is: (4D4-4D3-23D2+12D+36)y=0 The auxiliary equation is:…
Q: 4-у2 r2x+y dzdædy -V4-y2 Jo
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Q: y = C,e¬x + C2e¯-2x + x y = C, + C2e³x
A: See the details solution in below
Q: xy = e2x; y 2х ху — е
A: We will find y' as following.
Q: (D2 — 4D + 4)у — еЗx A. y = cqe2* + cze2x + e3x B. y = ce2* + c2xe2x + e3x C. y = ce2x + cze2* +e 1…
A: to find out the general solution of the given differential equation
Q: (D4 + 3D3 – 6D² – 28D – 24)y = 0 A. y = c;e2x + C2xe2x + C3e-3* + C4xe + C4xe-3x B. y = ce2* + c2e"…
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Q: Eo f is y = 1(a- 4). 3D1
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Q: f(x, y) = 2y – 6ry - x 2.
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Q: Find the equilibrium point. D(x) = 7- 8x, S(x) = 3 + 8x
A: Equilibrium point is the point at which demand and supply function intersects. That means at…
Q: (D³– 4D°D'+ 5DD2 – 2D ) z = e'*2* + Vy + +2x +Vy +x. |
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Q: (a) Solve y" + xy + (2r – 1)y = 0, %3D near z = -1, if y(-1) = 2; y'(-1) = -2.
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Q: ) y( 3x*- xy - 7)d -x ( xy ty- 2x) dgy = 0
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Q: B. Non- homogeneous Higher Ordered LDE 2 1.D +50² + 8D -9) y - 69x²e-*
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Q: d²y x-9 Find for y dx2 = (3x² –2x+5)
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Q: 2t + 7 f(t) = t- 3 %3D h(n) = - 2n2-3n+1 %3D f(h(-1)) =
A: Here we have two functions f(t) and h(n), we want to find the value of f(h(—1)). To find f(h(—1)),…
Q: (D³ - 4D²D'+ 5DD² – 2D ) z = e'+2* + Vy+x. |
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Q: dz (D2 + 16) (D² + 4D – 5) (D² + 2D - 3)*z = 0, Dz = dr
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Q: f(x) =D V4- x2 1는 Jf %3D (-2,2) .1 (-00, –2) U (2, 0) 2 (-0, 2] U [2, c0) 3 [-2,2] .4
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Q: Find the General and Particular solution of = 3y ; y = 3, when x = 0
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Q: y''-3y+2y=5e^3x,y1=e^x
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Q: 2. (D² + 3D + 2)y= 1+ 3x + x²
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Q: Find d3y dx3 of y = x³e-x
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Q: dy Find dz given that y = -2 – 8z². z=-3
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Q: f(x) = (4e2x)3 3(4e2*)2(4e2x) 3D3(16e**)(4e2*) 192(e6x) %3D %3D %3D
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Q: (a) x-z = 1 =D1 2х +у - z 3 3 x+y = 2 3D2
A: a) Given: x-z=1 2x+y-z=3 x+y=2 Converting into matrix form. 10-121-1110…
Q: 5. (D5-11D4+19D³ + 115D² - 200D - 500)y = 0 Ans: y = C₂e-2x + C₂xe-2x + C₂e³x + C₂xe³x + С5x²e³x
A: To Solve: Solution of ODE
Q: px + qy=z-a √x² + y² + z²
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Q: (D3 – D)y = 3x a. y = C + Cze* + Cze¯* - 3x2 2 b. y = C + C2e2x + Cze¯* + 3x2 + 3 C. y = C, + Che* +…
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Q: Qs) y" + 3y' + 2y = e* – 3
A: See the details solution in below
Q: Evaluate d2y/dx2 at the point (0, -9). x = t3 - 3t y = 3t2 - 9
A: Given: x = t3 - 3t y = 3t2 - 9
Q: y" – 2y' + y = e*/x
A: The given differential equation is…
Q: (D³ – D)y = 4e * + 3e2x X. a. Ур а. у, — 2хе * + 2xe+ +-e e2x b. Yp = 2xe +e2* X- 3 2x C. Yp = 3xe 2…
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Q: Н. W.: -1/3 6dx 2. V9x2+ 1 c2/3 dy
A: Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: d^x 2: +3. db4 3d ³ x db³ d²x -62 dx - 24x=0 db 27. db²
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Q: Q5: 6y²dx-x(2x² + y)dy == 0 (Linear BernoullLeq.)
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Q: 3x+2y=D-14 x-Dy-3
A: the given system3x+2y=-14x=y-3we have to solve the system by the substitution method.
Q: (D - 2D + 4)y = 0 ; y= - 2, Dy = 8, D²y = 0, when x = 0.
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Q: d) y = - + 3 e) y = 20.5x f) y = V2(x – 6)
A: Given query is to find the transformation performed and then graph the function.
Q: y = f(x) X2 f(x) = (m - 1)x2 - 4x + m-2 X, = ? %3D A) 1 B) 2 C) 3 D) 4 E) 5 f(x) = mx2 - 4x - 3m %3D…
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Q: Find DF of fcx,y)=x²e° at the point (-2,0)-
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Q: Find the particular solution of (d2y/dx2) = 4x3 - 2x; y' = 4/5 and y = 1 when x = 1
A: Given differential equation, d2ydx2=4x3-2x ...(1) y'=45 and y=1 when x=1
Q: 23D + 12D + 36) 5. (D + 3D² + 3D + 2)y = 0 6. (D3-4D2 + 7D)y = 0 7. (D + D)y = 0 %3D
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Q: (D² – 4)y = 2 – 8x; when x = 0, y = 0, y' = 5. %3D ANS. y = e2x – e-2* + 2x – }.
A: We have to find solution of given differential equation.
Q: dx Vx²-4x-7 7. dy y2-8y+5
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Q: Determine the value of C if f(x,y) = C is the solution of (x+ 2y-3)dx+(x+2y+1)dy3D0 for x=94 and y=…
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- It is observed that a certain bacteria culture has a relative growth rate of 12% per hour, but in the presence of an antibiotic the relative growth rate is reduced to 5% per hour. The initial number of bacteria in the culture is 22. Find the projected population after 24 hours for the following conditions.(a) No antibiotic is present, so the relative growth rate is 12%.(b) An antibiotic is present in the culture, so the relative growth rate is reduced to 5%.The revenue per month earned by the Couture clothing chain at timetisR(t) =N(t)S(t),whereN(t) is the number of stores andS(t) is the average revenue per store per month. Couturereleases a statement to their investors saying that currently they have 50 stores with a total revenueof$7,500,000 and expect to increase the number of stores by about 2 stores per month and increasetotal revenue by about$250,000 per month. What does this statement imply about the current rateof change of the average revenue per store per month?s(x,y)=ex^2+y^2 How do I find the critical point of this function.
- "Ex+y=∫-1.51.5x fx dx+∫-1.51.5y fy dy=∫-1.51.5x11.5--1.5dx+∫-1.51.5y11.5--1.5dy=∫-1.51.5x13dx+∫-1.51.5y13dy=13∫-1.50-xdx+∫01.5xdx+∫-1.50-ydy+∫01.5ydy=13-x22-1.50+x2201.5+-y22-1.50+y2201.5=13-(02--1.52)2+1.52-022+-(02--1.522+1.52-022=131.125+1.125+1.125+1.125=4.53=1.5" Could you write this part for a better understanding? Thank you.(D^5-3D^4+8D^3+16D^2-9D-13)y=0 nonhomogeneous undetermined coefficientsA particle moves along the x-axis so that it’s position at any time t≥0 is given by x(t)=t^3−3t^2+t+1. For what values of t, 0≤t≤3, is the particle’s instantaneous velocity the same as its average velocity on the closed interval [0, 3]? Your solution should clearly show all steps leading to the answer as well as justification for it.
- Suppose that a consumer derives his utility from two goods, the amounts of which are x and y, according to the utility function U(x,y)=ln2x+ln5y. The consumer has income B to spend, the prices of the two goods are px and py, and B, px and py are all assumed to be exogenous. Express the income and the substitution effect in terms of good x. Is good x normal and ordinary?The oxygen supply, S, in the blood depends on the hematocrit, H, the percentage of red blood cells in the blood. If S = k(H) = aHe-bH for positive constants a and b, with domain (0, infinity) and k'(H) = ae-bH(1-bH) 1. Use the definition to find the only critical point H1 of k on its domain. 2. Use a number line and the first derivative test to show that the oxygen supply is maximised at H1.You have to explain how you determine the sign of the first derivative on every interval. 3. What is the maximum oxygen supply? 4. How does increasing the value of the constants a and b in the same proportion change the maximumvalue of S? Please answer 3 and 44. If the secant method is used on f(x) = x^5 +x^3 +3 and if x_(n-2) = 0 and x_(n-1) = 1, what is x_n?
- in the early 1970s there were approximately 40,000 trees lining the streets of Newton. Today, that number is about 26,000-a 35% loss. The current annual rate of decline is about 650 trees per year. At this rate, if unchecked, public street trees would diminish to approximately 10,000 within a generation (25 years), and in 40 years, public street trees would no longer be part of the Newton landscape. a) show work for how that loss comes to be 35% b) show work for how it comes to be a decline of 650 trees per yearQ1 When regressing number of crimes committed by an individual against years of education you omit the relevant variable innate ability. Then, the estimated coefficient for education is going to be: A downwards biased B. upwards biased C. biased, but we cannot say in which direction D. not biased Q2 You estimate the equation: Y=6.2+0.41X. After finding heteroscedasticity, you run a second equation: Y/X=0.39+6.31/X. What is the effects of X on Y based on your preferred specification? A. A 1 unit change in X increases Y by 6.31 units. B. A 1 unit change in X increases Y by 0.39 units C. A 1 unit change in X increases Y by 6.31%. D. A 1 unit change in X increases Y by 39% Q 3 Which of the following are advantages of the use of panel data over pure cross- sectional or pure timeseries modelling? (i) The use of panel data can increase the number of degrees of freedom and therefore the power of tests (ii) The use of panel data allows the average value of the dependent…It is observed that a certain bacteria culture has a relative growth rate of 16% per hour, but in the presence of an antibiotic the relative growth rate is reduced to 8% per hour. The initial number of bacteria in the culture is 22. Find the projected population after 24 hours for the following conditions. (Round your answers to the nearest whole number.) (a) No antibiotic is present, so the relative growth rate is 16%. bacteria(b) An antibiotic is present in the culture, so the relative growth rate is reduced to 8%. bacteria