Q/ Let X be the r.v such that E (X) = 2 , E(X²) = 2a , E((2+ aX)²) = 2a³ %3D %3D Find the value of a .

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A: Given that fx,y=x5+y55.It is required to find fx0,0.

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A: Given,           fx,y,z=x2y3-y2z3

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A: This is the question from vector calculus.

Q: Obtain the general solution using variation of parameters y''+y = (csc³x) (cotx)

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A: Given,          ∫x+12x+x2dx

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A: Known formula: ddx∫rxqxftdt=fqx q'x-frx r'x.

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Q: 8. fz/25 – z² dz

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Q: uO The correlation coefficent is found to be 0.567. We can say that the relationshp between the high…

A: The obtained correlation coefficient between high daily temperature and number of traffic accidents…

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A: The function given is , F→x,y=-x,y. Draw the table for the points plot on the graph for the vector…

Q: 5 Use implicit derivation to find y. x² +y +z =e"-

A: Given,           x2+y2+z2=exyz

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Q: dx What is the best substitution to evaluate V2x 2х - х* |

A: Given I=∫dx2x-x2If we consider x=1+sinθ and dx=cosθdθthen,I=∫dx2x-x2=∫cosdθ2(1+sinθ)-(1+sinθ)2

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Q: The between cuefficient of corteletion X and'y のメー ag and and の2=114 what is constant a2 where x…

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Q: Find an antiderivative F (x) with F' (x) = f (x) = 7+24x3 + 10z4 and F (1) = 0. Remember to include…

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Q: Find the total differential. 6x + y w = 4z - 8y

A: The given function is: w=6x+y4z-8yw=f(x, y, z)

Q: integrate C.

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Q: Find fxy(x,y) if f(x,y)= e 4xy². fxy(x,y)=

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Q: (zin z + 5)dz

A: The given integral is [xlnx+5] limit from 1 to 3.

Q: Evaluate S. (x – y)dx + xydx where C is the y = 2x2 – 1 from the point (-1,1) to the point (2,7).

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Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.