#1: (a) Find the value of the following product: 1 × 3 × 5 × ... × 69 Hint: Use the colon operator to produce the vector [135 69], and then find the product of the elements of that vector. (b) Find the value of the following sum: 6 + 10 + 14 + ... + 326

Q: Perform the indicated operations and express the result in simplest form 3j2-j20+(10+j4)

A: Given expression is 3j2-j20+10+j4.

Q: Add / subtract: A) (-1+ 2i) + (-2 + 5i) B) (2-3i) - (-2+ 3i)

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Q: PWrite the following numbers in a + bi form: -1- 3i (a) 5 – i + i, | 4 -5 + (b) + i, 2i 4i (c)…

A: a Given expression is −1−3i5−i. We have to write the given expression in a+bi form. Rationalize the…

Q: Multiply. (8-61)(7-81)

A: The given expression is- 8-6i7-8i Open the brackets as follows-…

Q: Simplify the expression -i+ (7+ 8i) 2i(-6+2i) + - 1-i to the form a + y · i where a and y are real…

A: The given expression 2i-6+2i+-i+7+8i¯¯1-i. Simplify the expression 2i-6+2i+-i+7+8i¯¯1-i in standard…

Q: 10 a.) Completely simplify E ()2* i=0 b.) Expand (1 – r)® and simplify. c.) Expand (r +r-1)5 and…

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Q: (6,7) m || 2/3 in standard form.

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Q: a.) (3 - 4i)(2 + 5i) 10/60 + 20/-45

A: Solution:

Q: evaluate (1 – 2i) – (-3+ 4i) O V13e-0.983i O 2V13e -0.983i A O 2 13e0.983i O 13/2e0.983i

A:

Q: Find the following product and write the result in standard form, a + b i. (-9+4i)(6+ i)

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Q: V16 – V-36 v25 +v-16

A:

Q: (a)  Convert the following general expressions to standard SOP form:                           ABC…

A: given general expression is                                              ABC+(A+B)(B+C+AB)

Q: Determine the product of (1 + i) and (1–31) A) 4- 2i B) 2 + 4i c) 2- 2i D) 2-4i

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Q: Perform the operation and write the result in s (6+4i)(6-4i)

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Q: Find the quantity: -4v + 3w - 2u if v = -6i - j, w = 7i – 5j, and u = -4i + 10j. Enter your answer…

A: Assume x,y,z∈ℝ2 such that : x=a1i+b1j y=a2i+b2j x=a3i+b3j then x+y+z=a1+a2+a3i+b1+b2+b3j . Suppose…

Q: Simplify: а) (4 — 3) + (6 + 25) e) (5 – 3i) – (-8+ 7i) f) (4 – 2i) (3 – 5i)

A:

Q: 2) Draw the algebra tiles representing (4x² - 8x) + 4 and state your answer. (4x²8x) + 4 =

A:

Q: a+2)+(b-4)i=6+9i

A: Given that (a+2)+(b-4)i=6+9i a= b=

Q: (8+4i)(8+4i)=

A: Given,(8+4i)(8+4i)now,(8+4i)(8+4i) = 8(8+4i)+4i(8+4i)

Q: or the following quadratic function defined, (a) use the vertex formula to find the coordinates of…

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Q: Determine the product of (1+i) and (1-3i)

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Q: (5+4i)(17 – 13i) – (5 + 3i)(17 – 13i)

A: A complex number is a number of the form a+bi with a,b being real numbers. Here a is called its real…

Q: Multiply and Simplify (5 + i) (4 - 7i)

A: simplify the expression.

Q: Rewrite the expressions in terms of i: a) -v(-5) b)(-V(-24))v6

A: SInce multiple questions are asked, I am answering the first question with both subparts.

Q: Find the following products.   (4+7i) 2

A: To solve the given equation.