The cosine of the angle 9 in the figure is (-1/1, -21/2²) √2 3 2√2 3 1 3 Ө Ф O -2√/2 3 →→→X 1 3 O 2√2

Q: Find the quotient (1+i) 10 1+/3i A. 10(1+ 3i): B. 16+5i C. 8(/3+i)· D. 6(/3+2i)- E. -8(/3-i). Е.

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Q: g. (4+5i)(

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Q: 25-49x² dx Select one: O a. 25 14 O b. 0 с. O d. O e. 25 14 25 14 arcsin()+ 7x XV 25-49x2² arccos…

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Q: Simplify the complex fraction. 3 4 x+ 5x 7 X+ 5x 4) 3.

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Q: + 5j and b = 7i - 33. Find: %3D 2. a- 2- 4. 53 56 6. 2a + 3b 8. a + ñ|

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Q: Simplify O O O √2 2 1 √√3 √3 T 8 2 tan 1-tan² H8 T

A: To simplify the following expression.

Q: REASONING Which ratios are equal? Select all that apply. 3. 3. 45° sin X Cos X sin Z cos Z Find each…

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Q: 7. Determine the roots of y4 + y"" −y" -y+1=0 a. 1,-1,1 b. 1-1,-1 c. 1,-1,2 d. 1,-1, -2

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Q: 3. Evaluate the following complex number a. (30460° +20<-20°) b. 302-30° +(4-j3)(3+j4)(4-j5)* C.…

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Q: ᴡʜᴀᴛ ɪꜱ ᴛʜᴇ ᴘᴇʀɪᴏᴅ ᴏꜰ ᴛʜᴇ ꜰᴜɴᴄᴛɪᴏɴ ꜰ(x) = ₄ᴄᴏꜱ ₂π(x + ₃)? ᴀ. ₁ ʙ. π ᴄ. x + ₂ ᴅ. ₂π

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Q: Simplify the following expressions: (5-j6)-(2+j8) (-3+ j4)(5-j)+(4-j6) (a)

A: To Simplify: (a) (5-6j)-(2+8j)(-3+4j)(5-j)+(4-6j). As per policy, only the first part is answered,…

Q: (12x) 36 r-22 12 5) 23 121 (x-1 (30+x) 6)

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Q: Q1) Find modZ and ArgZ for the complex numbers given below: 1+i√2 1-i√2 2 2+i a) Z= b) Z= +2-i

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Q: (b) Let A1, A2,, A46 be the roots of (5 – 2i)/46. Show that 46 II ^.A; = = 29 i=1

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Q: Simplify (8j3 - 52 - 5) - (6j - 12j2 + 8j – 7). O 213 - 172 + 8j - 12 O 2j? + 7j2 + 8j – 12 O 2 -…

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Q: Evaluate L, sinh 3t (3

A: L13sinh3tUse the constant multiplication property of Laplace Transform:For function ft and constant…

Q: put find all 44i ofthe equotic ナリ2971

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Q: x Q3: Show that csch-¹ (²7) = coth-¹(x+¹) x-1,

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Q: For -5+3, write the conjugate of the complex number, then multiply the number and its conjug -5+…

A: The complex conjugate of the complex number a+bi is a-bi

Q: Question 7: Calculator permitted, multiple caoice ,2 x +y² + 4x – 2y = -1 The equation of a circle…

A: x2+y2+4x-2y=-1 On simplification, we get…

Q: 4. What is the simplification of the following comple expression (i = -1) 4+3i 1– 3i 13 9. 1 3 A) 10…

A: 4+3i1-3imultiply and divide by…

Q: Write (2y · 2y · 2y) + 6 using exponents. 1. 4y° + 6 2. 3(2y)3 + 6 3. None of these 4. 4y? + 6 5.…

A: The exponent form for 2y.2y.2y will be (2y)3

Q: Using u- substitution, | x³/25 – x² dx is equivalent to

A: Take   25-x2=u i.e;      x2=25-u Differentiate the above 2xdx=-du xdx=-12du Substitute the  values…

Q: 2. Simplifying complex rationals 1 1 2xy 3 a) 4 4 3 b) гу? T

A: The solution is :

Q: Q1. Check which of the complex no. is closer to the origin.. a. Z₁ = 1 + 2i b. Z₂ = 3 - 4i

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Q: 1 da (교2 + 1)2

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Q: ii) Use trigonometric substitution method to evaluate f |4x

A: Trigonometric substitution is used to make the integral simple into standard form and then…

Q: Simplify the following complex fraction. 25 12a 55a 14

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Q: 1 30 (A) = 2 -2 4 3 50 a) Find the minor of the element 5 and 0? b) Find the cofactor of the element…

A: To find the minor and cofactor of element  0 and 5 .

Q: Find |v||-|w, if v = 4i - 5j and w = -2i + 3j. ||v||- ||w|| = (Type an exact answer, using radicals…

A: The given problem is to find the difference between the magnitudes of the given vectors. Given…

Q: 5. The parts of this question are unrelated to each other. (a) Evaluate (3√8x + (2x + 1)²) dx. OK

A: B=∫(38x+(2x+1)2)dx  ∫xndx=xn+1n+1+c

Q: Multiply and simplify (5 + 3i) (3 − 2i) O a) 21 + i Ob) 21 - i ○ c) 15 — i — 6i² O d) 15 – 19i – 6i²

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