y 10 (x, y) (6,2) -10-9 2 3 4 5 6 7 8 9 10 -1 -1 -7 - -2 -3 -4 -5 -7 y%3D 6 -8- - -10 tho distance from (x, y) 3D 3D 2.

Q: The number of defects on the front side (X) of a wooden panel and the number of defects  on the rear…

A: Given, f(x,y)=c(x+y), x=1,2,3 y=1,2,3 c value:…

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Q: Partial-Derivatives if Waffxiy:a)=yznxy+tan find af of at (4,)

A:

Q: (a) Find the critical point of f(x, y) = (4x? – y) (x2 + 4y). (x, y) (0,0) (b) Find the…

A:

Q: ation. 4x y"-5y' +3y = 0 around xo = 2 x) = a, (1 -- 2* + 103 1536 Ob. 11 103 y(2) = a, (1+*- 2) .…

A: Given that, 4x2y''-5y'+3y=0 The x2 can be rewritten as, x2=(x-2+2)2 =(x-2)2+4(x-2)+4 So the equation…

Q: VX-2 H Evaluate dy/sx if O y=1X+1)“ Szx-1 at x=\ V(X+3)3 atメ=1 at X-3

A: Reupload other questions according to bartleby guidelines

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Q: xcosydx+(x+2cosy)^2sinydy=0

A:

Q: Sx + 2y = 0 xy = -2 (x, y) = ( (smaller x-value) (x, y) = (larger x-value)

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Q: Solve: x"-x+ 5 y'=t y" - 4 y-2x' = -2 with x(0) = y(0) = x'(0) = y'(0) = 0 Let L{x(t)} = U(s) &…

A:

Q: integral of (y^2-14y+5) / y(y-1)(y-5) dy

A: ∫y2-14y+5yy-1y-5dySubstitute u = y-1=∫y2-14y+5yy-1y-5dyApply the Sum Rule:…

Q: kx 4+x² If k 1, evaluate k (a) 2 kx (b) 2 J₁ arctan (2x) + C arctan (2x) + C dx. (c) // ln(x² + 4) +…

A: Given: ∫kx4+x2dx We have to evaluate the given integral.

Q: ý =y+X ans y= as +aoX+(a+). %3D a. %3D e +e-X-1

A:

Q: a) Find the maximum percentage error in z if the percentage error in x is 1% and y is 2% given that…

A:

Q: Solve: x" -x+ 5 y'=t y" - 4y-2x = -2 with x(0) = y(0) = x'(0) = y'(0) = 0 Let L{x(t)} = U(s) &…

A:

Q: (c) partial fractions of 4x + 2 x³ + 2x² + 2x (d) L(3.98) where L(x) is the linearization of y =…

A:

Q: A _1. (2x – 3) dx A. -2 _2. L(x3 + 2x) dx В. 0 _3. (x² – 2) dx 1 С. 3 4. S(x3 + 3x – 1) dx 2 D. 2 |…

A:

Q: d³y dt3 dy + 4 dt2 + 5 dt + 2y = 10 cost y(0) = 0, y'(0) = 0, y"(0) = 0 %3D

A:

Q: 3. Determination of integrating factors: 2y(x+ y+ 2)dx + (y -x -4x-1y = 0

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Q: Minimize z 5.97x1+4.5x2+ 4.41x3 (hundreds of dollars) s.t: 7x1+?x2+?x3 > 140 (production capacity:…

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Q: bounded y = 2 Vi- x Evalual e by the 4 the lines the area se mie 1| ipse メ=+| > y = -|

A:

Q: the integrating factor of the FOLDE y'-2xy=x is e^-x^2, show your solution

A: Recall: Linear differential equation of first order :    dydx+P(x)y =Q(x)…

Q: 2x f (x)= 0<x<0• he following estimators were obtained for the parameter, Yn=max(X1,X2,..,Xn). 2n 3X…

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Q: 3x+4 3). S; (x2 +4)(3-x) dx (Integration by Partial Fraction)

A:

Q: (b) f(x, y) = 3.03 + 3y2 – 4 ln y, a = 0, y = 1, dr = 0.01, dy = -0.01. since fa (x, y) = 3.3x-1+ 0…

A:

Q: Oy = -læ| – 1 Oy = -|a – 1| Oy = -|x| +1 y = -|x + 1|

A: we use the transformation

Q: 2) y(4) + xy(3) + x²y" – xy' + sin y = 0 Find the: Туре: Order: Linearity: Why?: Unknown Function:…

A: The objective is to solve the above question.

Q: r=√{(e^{-y}xcos(x)-e^{-y}ysin(x))^2+(e^{-y}xsin(x)+e^{-y}ycos(x))^2} find r.

A: Given information: r=e-yxcosx-e-yysinx2+e-yxsinx+e-yycosx2   Formula used:…

Q: The demand for a car wash is x = 1000 – 40p, where the current price is $3. Find the price…

A: Consider the given information. x=1000-40p The current price is $3. Rewrite the function in form of…

Q: Using separation Variable. 1.) In x dx/dy = 2 / xy^3

A: Given differential equation lnxdxdy=2xy3

Q: y/ = y³ – y² – 6y where y is the dependent variable which is a function of the independent variable…

A: solution is attached below with detailed explanation.

Q: 2y – x = 3t y+ x' = 3et 3e-t x (0) = y (0) = 0 3s2 L (x) = (s+1)(s–2)(s²+1) 3(2s3 –s–1) s2…

A:

Q: 4. xyzx + 2y³ (2)³ = 1 Dependent variable/s: Independent variable/s: Type: Order: Degree: Linearity:

A: Solution :  To discuss about the nature of given differential equations

Q: Integrating Factor by Formulas: (4) (4xy + 3y² – x)dx + x(x + 2y)dy = 0 (5) y(x + y + 1)dx + x(x +…

A:

Q: 14. y"-2y'+ y= cost-sint, y(0) = 1, y'(0) = 3 %3D

A: 1. Laplace transform is an integral transform that converts a function of real variable t to a…

Q: Find L(y). / + 2x = 2 - x' = et (0) = x (0) = 0 -2 L (y) PL(y) = %3D s(s2 +2) 2s L (y) = %3D…

A:

Q: B. EXACTNESS 1. (xy2 + y- x)dx + x(xy+ 1)dy = 0 2. 2xydx + (y2 +x²)dy = 0 3. x²ydx + (x + 2y)dy = 0…

A:

Q: 5. y' + 2y = 0, when x = 0, y = 2 %3D Ans. y = 2 e-2x %3D dy 6. xy +2 y– x - 2 ху — Зу+х-3 dx (у -…

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Q: 2x lerivatives from first principle, find the derivatives of y = 5 V3x-e2x-(xln x)(In(In x)) -2e2x)…

A: We have to find the derivative from the given function

Q: f(x)=(x+1)2+6 vertex: direction: axis of symmetry: range: y int:

A: Given function is f(x)=x+12+6 find vertex, axis of symmetry,range and y- intercept

Q: 3. Suppose you estimate a regression model with two regressors Y; = X1:B1 + X2;B2 + €; You obtain…

A: Given data An estimated regression model with two regressors Yi=x1iβi+x2iβ2+zi And given parameter…

Q: The number of defects on the front side (X) of a wooden panel and the number of defectsa on the rear…

A: Solution: From the given information, the probability mass function of X and Y is

Q: 5 Integrating Factor by Inspection: y(x3 − y5)dx − x(x3 + y5)dy = 0

A: The equation can be written in the form of  Mdx+Ndy=0 where M=yx3-y6 and N=-x4-xy5 So ∂M∂y=x3-6y5…

Q: Solve: x" -x+ 5 y'= t y" - 4y - 2 x' = -2 with x(0) = y(0) = x'(0) = y'(0) = 0 Let L{x(t)} = U(s) &…

A:

Q: Higher Partial Derivative z=2x²-3xy +4y²; d²z 1. oxoy² 3. z+x³ − ln(y³ +x³)= 0; - a²z axoy 0³ z…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Number 29. Find the derivative of the function. I'm confused with the simplification part at the end…

A: Obtain the derivative of the function as follows.

Q: 1. Integration by parts: 2 3 .5x X°e dx

A:

Q: The propagation of uncertainty formula for the equation y = av x is1 da dy is the partial derivative…

A: Given y=ax The propagation of uncertainty formula for the equation is given as, ∂y∂aδa2+∂y∂xδx2 δ is…

Q: Time t yı y2 Уз y4 ys y d (s) (m) (m) (s³) (m) (m) (m) (m) (m) 0.50 0.9 1.3 1.1 1.5 1.4 0.75 3.2 2.7…

A: The following table shows the filled-in values,