Q3/B/ Let X and Y are two r.v's with joint p.d.f 2x+y f(x,y) =} 210 2 2)

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A: Given: f(x,y) =ln(x2+y2+1) The given point is (1,1) Learning rate , h=3/2

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Q: B) Determine the volume of the solid obtained by rotating the region bounded by : y=x -2x and y= x…

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A: given curves are                                                  x2+y=6y=xy=-3

Q: ution of v" - 2y'

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Q: Classify all the critical point(s) of f(x, y) = e(+). Find maximum and minimum value(s) of f(x, y).

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Q: 9. To verify Rolle's Theorem which one is essential? Continous in closed interval and differentiable…

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A: Given question from several variable and we have to find critical points of given function.

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Q: Consider the function f(x, y) = sin(x) – sin(y). (a) Find all critical points of f(x, y) with |x| <…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: Find the area of a triangle bounded by lines y=2x and x=1 by a.) single integration b.) double…

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Q: ( The discriminant fxx fyy-fy is zero at the origin for each of the following functions, so the…

A: Introduction: A real-valued function formed on a closed or bounded interval can have its absolute…

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Q: 2. We want to integrate a function over the region bounded by x = y2 - 1 and x = /1- y2. What should…

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Q: Outer radius 4y %3D Inner radius = y³ p(y) = 4y %3D q(y) = y³ %3D (8, 2) Interval of integration R…

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Q: Region bounded by: y = x+1, y = -x + 4, x = 0 Rotate about: y-axis %3D

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Q: For what values of the constant k does the Second Derivative Test guarantee that ƒ(x, y) = x2 + kxy…

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Q: anction of z = x + iy

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Q: Integrate f(x,y) = x +y over the triangular region with vertices (0,0), (3,0), and (0,3). The value…

A: I take strip parallel to y axis in the region of integration

Q: Find the absolute extrema of the function over f(x, y) = x² + 2xy + y², R = {(x, y (x, y, z) = ( )…

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Q: 36. Find the critical points using second derivative test of the equation y = 2x³ + 9x² + 27 %3D a.…

A: This question is related to derivatives.

Q: For what values of the constant k does the Second Derivative Test guarantee that ƒ(x, y) = x2 + kxy…

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Q: ( The discriminant fxx fyy-fy is zero at the origin for each of the following functions, so the…

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Q: J(X) = -3|X – 5| + 2 1. Why does J(X) have a critical point at X = 5? Explain. 2. Why does J(X)…

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Q: A ruptured pipe in a North Sea oil rig produces a circular oil slick that is y meters thick at a…

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Q: The area of the region completely bounded by the curve y = 2 17 the x-axis, and the line containing…

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Q: 9. As an exercise ball is inflated, its radius increases from 30cm to 31cm. Using Linear…

A: Given that the radius increases from 30 cm to 31 cm. So, we take r=31 and a=30We know…

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Q: Maximum divergence Within the cube {(x, y, z): | x | ≤ 1, | y | ≤ 1, | z | ≤ 1}, where does div F…

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Q: Determination of integrating factors: 2y{r² - y + xkdx + (x° – 2y kty = 0

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Q: The discriminant fez firu - f2, is zero at the origin for each of the following functions, so the…

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Q: Apply one iteration of gradient method to find the critical point of the function f (x,y,z) = x² +…

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Q: 3 wtx

A: Solution:GivenTo find the integratonLetI=∫csc2x(1-3cot x)2dxFormula:ddx(cot…

Q: hich vect וdtiolו y and 2? 1 -2 y = 1 -6 x = 2 8 -1 2 -1 5 2 -3 [ 2 -1

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Q: Find the absolute extrema for the function f(x, y) = y – x²y over the region enclosed by y = 4 – a²…

A: Given:f(x,y)=y-x2y over the region enclosed by y=4-x2 and y=0

Q: 1 y" – 2y' + 2y y(4) = 0, 3 (4) = 0. -

A: Given: The given differential equation is y''-2y'+2y=1x, y4=0,y'4=0

Q: E AREA OF REGION BOUNDED BY ( Y=X^2 - 2X ) & ( Y = - X^2 + 4

A: give

Q: Regian bounded by y-x and y=X+2

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: x2 - y2 + 2Cx = 0

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Q: The fourth interaction when the positive x-intercept of the y=f(x) is approximated by the interval…

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Q: ( The discriminant fxx fyy-fy is zero at the origin for each of the following functions, so the…

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: