4. Find the value of the integral 2 - Sc (z - 19 (72²+9) 3z3 +2 dz, taken counterclockwise around the circle (a) |z - 21 = 2; (b) |z|= 4. Ans. (a) лi; (b) блi.

Q: (a) √|2|=3 (2²+1)2dz. (b) S₁2=22(2²1) dz. z³(z−1)

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Q: 2. Express in radical form the length of the line segment joining the points whose coordinates are…

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A: Answer

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Q: b) Heron's Formula Area = √5(5-a)(s-b)(s-c), where s = 1/(a+b+c) prove using the following steps.

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Q: Sv-4 - y-3) dy

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Q: d 4. Determine sin√x dx Space on next page in radical form]

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Q: 2. Determine the following: а. f(8х3 — 2х +9) dx 3 4 6. Vx2 b. S 2-x dx - x2 3

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Q: Find the distance d from the point P = (6, 1, 4) to the line r(t) = (4 + t)i + (1 + 2t)j + (1 +…

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Q: Find the distance between (1, 1) and (3√3) along the graph of y2=x3

A: ANSWER :

Q: S = 1/2(a +b + c) for a (geometry, semi or half perimeter of a triangle)

A: We have to write the formula for area of triangle.

Q: can you expline this step

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Q: Find the distance from the point (4, 9) to the line y = 2x.

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Q: (a) (₁, ₂) (b) (r1,73) (c) (r2,73) r₁= [3 -1 0], (d) r1 xr2 (e) ri Xr3 (f) r₂ × 3 r₂ = [-2 0 1], T3…

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

A: