Integrate counterclockwise around the circle |z – 6i| = 3. z(z – li)? - NOTE: Enter the exact answer. dz Ic z(z – li)²

Q: B. USING GAUSS QUADRATURE WHEN N=6 5 -3 (4x − 3)³ dx

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Q: | 4z(z* + 1)* dz Calculate: 0.

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Q: In(2) 1- xy ey dxdy

A: Given :            ∫01∫0ln(2)xyexy2 dx dy

Q: Evaluate cosh(72) dz, C the line along the imaginary axis from to 2i. cosh(72) dz

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Q: (I+x²)d (l-x²) Vi+

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Q: find dy. y = 3 csc (1 - 2√x)

A: We use the chain rule

Q: L(cos3t) = S .a O s²+9 S .b O s+9 s2 –9 3 s2+9

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Q: Finds 2) S 12x-31 dx

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Q: *csch(2 sin 2x)cx 1. V1-4x let u= du=

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Q: | w(w? + 1)3dw -1 dx х2 sin30cose d0

A: We will answer the first question since exact one wasn't specified, Please resubmit the question and…

Q: 4 sin-lx dx X.

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Q: Let y = exp /9+9x3). Find dy/dx.

A: Given function:- y=e9+9x3

Q: a) Integrate the following functions i. (-2x² – 9x – 7)dx (4x* – 9)* (20x“ )dx. [-4e"dx ii. iii.

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Q: .2 dx Jo (9 + x²)2

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Q: Determine the 2.x2 – 4x + 6 dx using the definition. (hint: lim Rn)

A: Given: ∫12 2x2-4x+6 dx  To find: Value of the limit.

Q: I. Power Formula sec² xdx 1. S (1–4tanx)7 (2x+1)dx (x+2)*(x-1)* 2. S;

A: In this question we have to find the following integral using power formula. We know, Power formula,…

Q: Find dx5 d³y for y = sinh(4x²) – /coth(6x³) %3D

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Q: Integrate cos(72), C the semicircle |2| = 1, x 20 from –ri to ri. Use the first method, if it…

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Q: Find the distance d between z1 = (8+ 8i) and z2 = (-8+ 8i).

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Q: and 3w; w(x₁y, z) = -2xy arcsinz a+ x=48 y=ts 2=4+

A: Given query is to find indicated derivative.

Q: Find dy for y = (4x +2)2. dy = (Simplify your answer.)

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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.