QUESTION 4 ze² ¹ Joz dz, where the positively oriented C is given below. Write your answer 22² +8 form a + bi. Find (4.1) C: 2 = 1 (4.2) C:|²|=3 (4.3) C: z-i-2

Q: 3Q: If z₁ = 1.5 cisand z₂ = 4 cis(-7) find and express it in the rectangular form.

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Q: Find x and y if (-3x - 9) + 4i = 6 + (3y - 2)i.

A: Given that,  (-3x - 9) + 4i = 6 + (3y - 2)i To solve for x and y, need to use below property of…

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A: To find the value of 2cosec20°sec20°

Q: 3. Express (j-3)° in rectangular form.

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: What is the inverse of the equation y-3r - 27 B) y-x C) y-' D y-2r-3 A) y-3x + 2 C

A: Consider the equation: y = 3x - 2

Q: Let v = 2i - 5j and w = -4i + 3j. Find v . w

A: We have to find the dot product value v.w for given vectors: v=2i-5j and w=-4i+3j We know that for…

Q: Sketch v = (−2, 1), w = (2, 2), v + 2w, v − 2w.

A: Given vector, v = (−2, 1), w = (2, 2)

Q: Draw a picture of Cay({2, 5}:Z8).

A: Given,            Cay2, 5 : Z8.

Q: Please find cross product c=a x b, where a= and b =. For c=16i+0j+?k, please enter the missing k…

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Q: If -y3 – 4y + a² – 5x: -y? then find at the point (3, –1). %3D

A: In this question we need to find a derivative of the given function at the point (3, -1 )

Q: The i-component of +t is

A:

Q: 1. Find a b (a) a =, b = (b) a =, b = (c) a= 27 +3j - 4k, b = i-3j+k

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Q: = (2xy + z² )i + (x² +z)j + (y + 2xz)k, determine a possible value for .

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Q: If a 10î + 10f + 5k, b = 5i – 2j – 14k, è = 4î + 7j – 4k , find the value of å x (b x 2).

A: The cross product of two vectors a=a1i+a2j+a3k ,b=b1i+b2j+b3k can be calculated using determinant…

Q: Exc. Eind. Lim (x-1) y3

A: Solution:

Q: Divide 8r*y – 10x*y³ + 12x²y³ by 4.r°y?.

A:

Q: 5 Find: a f cos r dr Hint: In b sin r sin r sinr (1- cos? r)2 sin r, etc. b S sin r dr c sin r cos3…

A: 5a We have to evaluate the integral ∫cos3xdx. Rewrite the integral by using identities…

Q: Give your answers in the form ax + by = c. с. a AB: y = 2x+ 11; midpoint (-4, 3)

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Q: b. 3+V5-x 3I

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Q: (20" + 6a²)dæ + 6x²) dæ Find (2,x7

A: ∫(2x7+6x2) dx

Q: Find rye"ty dyda

A:

Q: Simplify 9x° y z ,5 3xy4 24

A: Our Aim is to simplify the following expression given below:-9x3y5z3y4z4 -(i)