Find the product. 12x'y" -5x°y10 2x*y 3y O -10xy,x* 0, y + 0 O -10x"y",x + 0, y 0 O -10x'y,x + 0, y 0 O -10x°y",x+ 0, y * 0

Q: Find y(0.2) for y"=xz²-y², xo=0,yo-1,20-0, with step length 0.2 using Runge-Kutta 2 method (2nd…

A: To find- Find y0.2 for y'' = xz2 - y2, x0 = 0, y0 = 1, z0 = 0, with step length 0.2 using…

Q: Find the first partial derivatives with respect to x, y and z f(x. y.2) - 3x°y - 9 xyz + 10 yz² %3D

A: Given

Q: Evaluate. The differential is exact. (1, 1, 1) (-10x - 8x7y7) dx - 7xS6 dy + 54z5 dz (0, 0, 0) 3 4

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Q: If y = (2x)sin (4z) , then dy sin(4æ) · (2sin(4z) esin(4z) In(x)) %3D dx X synta

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Q: 2. 2. Let そニと X=UV, y = sin v, Use ナ chain chain Rule to find Ev.

A: 1) The given function z=e2x2y+3xy2 Differentiate with respect to x taking y as constant…

Q: Solve for dy given xsin y - ycos x = 2 | dx sin y-ysin x А. cOS X-XCOs y sin y+ysin x В. coS X-XCOs…

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Q: Differentiate: y = arcsin + Oy = y = - 4-x O y = x V4 – x2 4-x2

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Q: Find the Integrating factor of: dy + y. sec5x = tan5x dx 1 (sec5x + tan5x) 5 O sec5х — tanп5x + 5 O…

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Q: . Form the differential of the system of circles touching the y-axis at the origin.

A: The solution is given as

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

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Q: Resolve about the line x= -1 and use disk method. bound by y=x4, x=0, and y=16. Mark axis of…

A: Consider the given region bounded by y=x4   x=0 and y=16

Q: Find the partial derivative of f(x, y) = 6x3 − 5xy + y2 with respect to x at the point  (1, 4, 2).

A: Obtain the partial derivative of the given function with respect to x as follows. fx,…

Q: dx S COsxtanx

A: Here we will solve the given integration,

Q: 5) Starting from the expression Cp- Cy = T use the appropriate relations between partial derivatives…

A: The amount of heat required to raise the temperature by one degree in one mole of the substance is…

Q: 5. sinx+ cosh2y = 0. dy 6. /2xy -= 0. dy y

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Q: For z = arctan(x² + y²): Compute all first and second order partial derivatives. Find the…

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Q: y 2sin x-cos 2.x for 0° sxs360

A: Consider the function, y=2sinx-cos2x Differentiate with respect of x,…

Q: 2. [2x*tan y – ysin (2) – 1] dx + [xsin (2) + x*sec*y] dy =

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Q: 13. To evaluate S - 3cos²x=1 dx, the integrand can be transformed to 1-sin²x a. [(3cos³x+ csc²x)dx…

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Q: integrate dy/(sb - smy-bny-nmy^2

A: SOLUTION-

Q: -siny(x + siny)dx + 2x²cosydy = 0 %3D

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Q: Solve for Txyz given the function T(x, y, z) = z tan (In x - √y)

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Q: 2. Cosh X y sinh x 2 cosh x sin dx dy dxxy = 1 5. (1-x)

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Q: 3. f(x,y) tanx - sec²x - cosy

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Q: 1. cos(xy) + secy = 5 2. Arcsin(x/y) = 4x + 3y 3. 4ln(Arctan x) = 1- y 4. y = 5/(sin3x +cos3x) 5.…

A: we have to derivative two times

Q: 13. Equation from Exercise 1; y(0) = 1, y(-2) = -1, y(0) = 3, y(0) = 2. %3D

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Q: +[2yln [2yin (3 3y²dx 3siny dy = 0 ;when x = 1, y = 0 5x x2+3x x+3,

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Q: INTEGRO-DIFFERENTIAL 1. y" + 5y' - 4y = 0

A: Given: y''+5y'-4y=0 y(0)=2y'(0)=4

Q: 2- Find of y = dy dx y %3D /cos-1(In (xy))

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Q: From the partial differential eqiuation by eliminating the arbitrary function z=(x2+y2+z2)

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Q: (1,2,3) (0,0,0) 4x³y dx + (x²-25) dy-5yzª dz

A: Find the value of function using integrate Compare the given expression with Mdx+Ndy+Pdz to obtain…

Q: Form the partial differential equation by eliminating arbitrary function from z=exf(x−y)z=exf(x−y)

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Q: Find second partial derivatives of the function f(x, y, z) = 3e*yz at the point xo = (-6, -5, 1).…

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Q: 6. Use separation of variables to find product solution of u(x, y) for the partial differential…

A: Given,            ∂2u∂y2=∂u∂x+xu                        (1)

Q: 1 of 1 dy -3-9x, y'6)=8, dx² ylo)=2 %3D

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Q: 3. f sin³y(2-3cosy)² dy

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Q: tion to (1+ x²) dy + 2xy = 4 that satisfies the initial condition y(0) = 0. dx %3D %3D

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Q: Find dy/dx for 3sin(x+y) - 2e^y =6x^3 by using implicit differentation

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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: y" + 3y' = 0, y(0) = -2, y'(0) = 3

A: The solution is given as

Q: d²x dx 5 dt2 2- 3x = -9t2 – 1 - - dt dx When t = 0, x = 1, = 0, find x when t = 2 dy %3D -

A: Please see the below picture for detailed solution.

Q: 3. Find a result by using homogenous for (x³ - 3x²y)dx- (x³ - y³)dy = 0 For Figure 1.

A: We have to find out solutions of differential equations

Q: y= 0, y(1) = 1, y(1) = 0

A: We have to solve given problems

Q: Find the firsst derivative of y = arctan [ (3 sin x) / (4 + 5 cos x) ] and the first partial…

A: Given:       y=arctan3sinx4+5cosx First derivative:     dydx=ddxarctan3sinx4+5cosx…

Q: sin(3z+z²) Find y' for y = (6 – 2*)3

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Q: find dy/dx by implicit differentiation: 6. 1/x+1/y=1 7. square root of x+square root of y=1 8.…

A: Answer and explanation is given below..

Q: * Find the intergration: dy

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Q: 1. (sin y — y sin x)dx + (сos x + х сos y — у)dy 3 0 %3D 2. (1— 2x2 — 2х) у' %3 4x3 + 4ху 3. (Зx cos…

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Q: {dy}/{dx} for y=4sin^{-1}(x^2)

A: The explanation of answer as follows

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.