Simplify each expression using the products-to-powers rule: (2x)4 b. (-3y²)³ (-4x°y-1)-?. а. с.

Q: Evaluate (-2 +2i )5

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Q: Express 0 in each figure in terms of x. (a) 7 (b) 6

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Q: If a = 3t and b -4 +3i, then find the value of a²b in fully simplified form.

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Q: ST,2xyz dxdydz

A: Consider the given:…

Q: Perform the indicated operation: (-2-2i) / (6-6i)

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Q: Give the reciprocal of each number.   y/r

A: Find the reciprocal of the number yr.

Q: In each part, use the given information to find A. (7A)-1 (b) (7A) -3 [] -2 = (d) (/+2A)-! = 2 4 5

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Q: Y=4x?=Sx + Tx²+12x5 Degree: ending Cocfficient: Name: nd Behavior:

A: we have to find out

Q: in circle H, it MZDHG (11x-36) and m2GHF=D(x+12). find om G F

A: Solution of this question is

Q: S (a? - y)"y dy

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Q: y = 2sec? (4x) + tan*(4x) %3D

A: We will find the first derivative.

Q: (a) Find to 01 when v = 19. (b) Find to.10 Wwhen v = 9. (c) Find to 975 when v = 7.

A: Solution

Q: If A = -9 + 5i and B = 4 – 3i, find А- В

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Perform the indicated operation: (5+2i) - (3-6i)

A: Introduction: Simply add or subtract the corresponding real and imaginary parts of two complex…

Q: (-7– 9i) + (10 + 10¿)

A: To simplify the given two complex number, add real part of first one with real part of second  and…

Q: Complete the steps by applying trig identities to simplify the expression as much as possible Steps:…

A:

Q: Complete the steps by applying trig identities to simplify the expression as much as possible Steps:…

A: = (1+ cot2x)/cot2x

Q: Use rectangle MNOP to find the following values. PR=2x-1, MO3D5X-11 M R. P. X= Мо-

A: Given Data: The length of PR is: PR=2x-1 ......(1) The length of MO is: MO=5x-11 ......(2) The…

Q: Solve for x. x 6 5 x 0 =80 15 1 (Use a comma to separate answers as ne

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: If (x + yiX3 - 2i)= 16 - 2i, find the value of y

A: To find the value of y we compare both side  imaginary parts

Q: Divide. answer in the form a+bi​.   2−i over 10+5i.

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Q: Simplify the expression Vx2 - 4 as much as possible after substituting 2 sec(0) for x. (Assume 0° <…

A: Explanation of the solution is given below..

Q: , π/4 sec?xdx=? A T/2 в) 1 (с) п/4 D) o

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Q: Use the diagram of LJĀBCD to find each value. B 127" x+ 2 2х -3 1. mLA 2. mZD 3. х 4. AB A

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Q: Perform the indicated operations: 1. (D + 2)(D? – 2D + 5)

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Q: A D B + (x+2)2 + x+1 x+2 (x+1)?

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Q: F OD = (4x + 5) yd; OF = (-3x + 40) yd %3D

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Q: 2 0. ху dх dy -Vi-(у-1)?

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Q: 1 -dxdy =? (4+x² + y²)°

A: Here we will use change of variable in double integration

Q: If u varies inversely as the square root of v and u=6 when v=16, what is u when v is 36?

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Q: Simplify the expression to a + bi form: (4 – i)(2 – 3i)

A: Given: (4- i) (2-3i)

Q: im (2X +iy?)=4i

A:

Q: What formula is most important to use throughout algebra?

A: a2 – b2 = (a – b)(a + b) (a + b)2 = a2 + 2ab + b2 a2 + b2 = (a + b)2 – 2ab (a – b)2 = a2 – 2ab + b2…

Q: A gun with a muzzle velocity of 1400 ft /sec is fired at an angle of 5° above the horizontal. Find…

A: Given that        A gun with a muzzle velocity of 1400ft/sec is fired at an angle of 5° above the…

Q: Find the product. 18xyz)(xyz?)-

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Q: Find R and 0 given the components R, = 6.172 and R, = -1.725.

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Q: i. Cos (57) 3 2

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Q: Express 0 in each figure in terms of x. (a) 7. (b) V.

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Q: Perform the indicated operation and simplify the result.  (2+4i)+(7-6i)

A: Given (2+4i)+(7-6i) Simplify?

Q: divide. give your answer in the form (a+bi) 1-6i/3i

A: Simplification

Q: In each case, find p and ĝ а. п 3D 75 and X — 20 b. n = 110 and X = 19

A: a)Given: n=75 and x=20. Then,p^=xn=2075=0.2667   Andq^=1-p^=1-0.2667=0.7333

Q: Pi: find dif fCxy2) = メy ye! Jydx メ々 会

A:

Q: The expression 2i² + 3i³ is equivalent to

A: Our Aim is to find the expression equivalent to 2i2+3i3.

Q: tind the Value of xiy eR if (5+メ)(iーメ) %3D

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Q: dy [1+ = a da².

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Q: A = 41°, ZBDC = 53°, AB = 17 and DB = 14, find x, then y. (Round each answer to one decimal place.)…

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Q: At noon, ship A was 12 nautical miles due north of ship B. Ship A was sailing south at 12 nautical…

A: Note: We are entitled to solve only one question at a time and up to 3 subparts only. Given: At…

Q: d. 11 Find X- xp 11 %3D xp

A: we know that derivative of x^n=nx^n-1

Q: Use the triangle shown to the right to evaluate the following expression. If necessary, express the…

A: Given A triangle is shown below

Q: Which of the following expressions represents the height of a right circular cone having a slant…

A: We know that  l=r2+h2 where l = slant height of the cone r= radius of the cone  h= height of the…