Evaluate / xcos2xdx xsin2x cos2x + c 4 2 xsin3x + 4 cos3x 2 sin2x cos5x + 4 + c O win2i + costx + c cos2x 3 3

Q: sing the relation z=x+iy = rcosθ + irsinθ=re^iθ . Derive z^n = r^n(cosθ + isinθ)^n = r^n(cosnθ +…

A: The relation .The aim is to derive the expression .

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: 3.) 5v2 - 4lv- 36 9= 6.) 6x2 - x – 12 9.) 7n2 + 15n- 18

A: (3) To factorize: The expression 5v2-41v-36. Calculation: The product of 5 and 36 is 180, therefore…

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A: Using substitution method.

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Q: L(2 cos? t} 2) 2(s-2) b) s(s2 +4) 2(s-2) c) s(s? -4) 2(s + 2) d) 4)

A: Evaluation of L2cos2t we know by trigonometry  cos2t=2cos2t-1cos2t=cos2t+12

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Q: F6 onal Academy of Science. All Rights Reserved. * Simplify. 21x²y 75xy5 F7 [?] [ ]y] F F8 DELL F9…

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A: topic - trigonometric ratios

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A: To evaluate the given intgral.

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A: This can be evaluated as:

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Q: rewrite the following complex numbers in z = x+ jy format

A: Since you have posted multipart question and we can answer three subparts. So, answered first three…

Q: Use substitution to evaluate the integral 4 sec2 4xvtan 4xdx 4 (tan 4x) + C 3 15 (tan 4x) + C 2 (tan…

A: Given query is find the value of the integral.

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Q: 25. Prove the following identities. Use proper form and show one step per line. tan (1-x) a) tan =…

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Q: ze pu хе and Ze ле of ye"- 5 sin 32 32

A: Given query is to find indicated derivative.

Q: ytihy...X.Sn... o...... ー…4+4 =さ2i. h.cicus 2X+.Casi ヤ ypa-(A.X+A.). sinx+ A, 3x+CBX+B.).us…

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Q: Given sin(a)= and a is in quadrant IV and sin(B) = and /2<B<. Use sum and difference formulas to…

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Q: sin + 4 4 can be expanded to: sin sin 4 4 cos cos 4 o sin - cos 4 sin 4 sin 4 o cos -sin 4 + cos 4…

A: Solve the following