Perform the operation if possible. (If an answer does not exist, enter DNE.) 18 1 0 -1 5 0 1 2 1 1

Q: Find the value of iº A i B) -i c) 1 D) -1

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Q: I+ i Simplify the following: 1-i A) 2i B ) i © 2+ 2i^2 D) 2

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Q: Sax */3 dx the answer is Blank 1 xe If you evaluate

A: To find out the integration.

Q: 29 E(- 7i? + 9i + 7) i=1

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Q: Some body started at A(6, 0) and coordinate change by AX = -6 and AY : O Find its new position ? *…

A: We find coordinate of new position

Q: If cosec A = V2 find the value of 2sin A+ 3cot A 2 4tan A - cos A

A: Given: cosecA=2 So, cosecA=cosec45°A=45°

Q: A = 32 - 2j Calculate : a) lÃt BI , b) Ā. B,C) 6) A.B, c) Ã+B

A: It can be solved using method of vector addition and vector dot product

Q: The imaginary unit i is a number such that: i =V-10 %3D i? = -iO i3 = -10 it=10

A: Given that  The imaginary unit i is a number such that

Q: (A) Given A = 3i + 5j , B = -4i + j Find the à +B , à – B & Ā. B

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Q: "a) (3+i) (2i)-i 10

A: The given expression is 3+i2-i2-i.

Q: b. " +r = 2 cos t

A:

Q: AD bisects BC AB I BC DC 1 BC Given: E Prove: AE = DE B

A: Given: 1) AB⊥BC  2) DC⊥BC 3) AD bisects BC   To Prove: AE≅ED

Q: (a)     (7 − 6i) + (8 + 7i)

A: problem related to arithmatic operation of complex function

Q: Fo, and then find xo = In9 a?(x + In9)² 2! a (x + In9) 4! In9)? a^(x – In9)4

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Q: r = cot 0 * csc 0

A: Given: r=cot θ×csc θ To Express: The given function in cartesian form. Formula used: cot θ=cos θsin…

Q: eEid dx -Mubarak e

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Q: sin A C 34 30 B 16 A

A: A triangle is a polygon having three sides and three vertices. Sum of interior angles of triangle is…

Q: d. V9+ 2i e. 21 + In(2 + i)

A: The given problem is to evaluate and simplify the given complex expression and convert into…

Q: 10. Find the cosecant, secant, and cotangent of 60°. 60 2. 1 30°

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Q: Solue sor the difperential equation dy 3y

A: The given differential equation is dydx=3yx,  x>0. Solve the above differential equation as…

Q: n(AU B) = %3D

A: n(A) = 14 + 6 +1 + 5 = 26 n(B) = 15 + 6 + 1 + 7 = 29 n(C) = 6 + 7 + 5 + 1 = 19 n(A and B) =6 +1 = 7…

Q: Scot"(2) cot³ (x) dx

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Q: Sind the ared betwee h 2. メニリ and t= %1

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Q: estion -4cos 0 = 7, where 0 < 0 < arated by a comma if necessary %3D ride your answer below:

A: The given function is : 7-4cosθ=7 where 0≤θ&lt;2π. Solve the above function to determine the exact…

Q: Q:1. Separade nto real and imaginary

A: The given complex expression: 2+5i3-2i-2

Q: If I = 4 sec126(x) tan146(x) dx | uP (1+u?)9 du , then la a = b = p = q = I| || || |I|

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Q: (3) I= √(1-x²) ³² 203 x dx

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Q: Hw #125 Show whie ther These are smilar or Not. 23

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Q: R/2 1 do sin e

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Q: The amplitude of y = -3sin (). А. —3 С. D. 3 2 I ea B.

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Q: 2. Find the cosecant, secant, and cotangent of 45°. 45° 45°

A: A detailed solution is given below

Q: 2. Evaluate the following (Express all answer in Rectangular Form): d. √9+ 2i e. 2¹ + ln(2 + i)

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Q: The IBP formula fudv=uv-fvdu Which of the following statements fits and satisfies the equations? can…

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Q: Sin(a+b)

A: Trigonometric formula;        sin(A+B)=sinA cosB+cosAsinB

Q: Express e in a+ib form. a) 0-e'i b) 0+e'i c) -ei c) e+ei Answer O A OB D

A: Any complex number z=x+iy can be expressed in its polar form as z=reiθ. We know that eiθ=cosθ+isinθ.

Q: 3. (a) (5 marks) Calculate a (b+c), if a = 4i+5j, b = 3i– 6j and c = -8i+2j.

A: Disclaimer-Since you have asked multiple questions, we will solve the first question for you.  If…

Q: O-T Y= 2(1+COSA) A=

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Q: A D E 35° 70° B Given: ДАВС, AC = AB, CD = DE, MZABC=70°, mZ ECB = 35° Prove: DE | BC

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Q: Pu 20u ôu =0i 2

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Q: iii) fcos' x.sin'x,dr

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: sin 4 -dz when C, : i) {z e C:z-1: -1 ,ii) {z eC://|= 3}

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Q: ABC Giuen triangie aarntriangie wY2, whichafihe foiowing Couid be used to Solu e for X 13 b. 13 10

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Q: 1) fo LaVI+y³ dydx =

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Q: Find the given sum:

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Q: 12. Use a 30 – 60 – 90 triangle to find the cosine of 60°. O V3 O 2v3 3 O v3 2

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Q: ca culage ne fo s limids ナ8r8

A: Given: f(x)=-7x9+8x8

Q: The IBP formula ſ udv = uv - ſ vdu can also be written as ſ udv+ ſ vdu = uv ... Which of the…

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Q: 3. If the substitution u = Vx is used, then dx is equivalent to (A)2 e" du (B) 2 §,* e“ du (C) 2 ſ…

A: Given Data: Integrand: ∫14exxdx Substitution: u=x ......1 This can be solved with help of derivative…

Q: 20 x³ dx (x²+4)5/2 (Use trigonometric substitution)

A: