Let z1 = 1+5i , z2 = 4 – 2i , and z3 = 1+ 3i . %3D Evaluate: Z1 22 + 23 · 21-2 Express final answer in both Cartesian and Polar forms.

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Q: FIRST QUARTER WORKSHEET WEEK 1 A. Choose the letter of the best answer. Write the choser paper. 1. W...

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A: q-1 find the maximum value of objective function Z=5x+2y subject to 2x+y≤50x+2y≥405x-y≤0y>0

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A: We have to find Maclaurin series of 1+x8

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A: Since you have posted a multi subparts question according to guildlines I will solve first three que...

Q: -2-1 is 3-4 The product of the eigenvalues of the matrix 2 11

A: Introduction: The eigenvalues of a square matrix are the roots of the characteristic equation. The c...

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A: The complete solutions are given below  

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Q: Find the smallest n such that d(n) = 30. Answer is 720

A: Given: d(n) = 30, that is, the number of factors of n is 30.We have to find the smallest n.

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Q: Problem 6. Consider the linear system: 2л + 2y — 32 2х + у — 2 За — 2у + 2 а Using Cramer's Rule, so...

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A: Solution:-

Q: he solution of + 4y = 0

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Q: C. Complete or identify the trigonometric and hyperbolic functions = quịs e b. 2 C. 2. = eyuis p

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Q: Which sub A. positi B. negati

A: Introduction: The positive integers are the numbers 1, 2, 3,..., also known as counting numbers or n...

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A: We can compare these three options with each other and find out which option got more points. 

Q: Given f(x) = 2x – 5 & g(x) = 3x + 4. solve for fea(r) - %3D

A: if f : A → B and g : C → Dthen f∘g(x) is defined if D ⊆ A and f ∘ g : C  → B 

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Q: 3. Convert the polar equation to a rectangular equation. r = 64

A: Given,             r = 64 We have to convert the polar equation to a rectangular equation. 

Q: Test for convergence the series 00 3.6.9 ... 3n (i) E 7.10.13... (3n + 4) " (x> 0), n = 1 0. 2.4.6 ....

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Q: solve the given initial-value problem ydx/dy-x=4y^2 , x(8)=1

A: solve the given initial-value problem ydx/dy-x=4y^2 , x(8)=1

Q: 4. Find the change-of-coordinates matrix from basis B to basis C. e-{E} -3 4 B = C =

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Q: The tangent line to a certain curve at any point P(x, y) has an x-intercept (not slope) equal to 3 x...

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Q: Example 1b In polar form, write out řAB A 2.5 m В C D X. 2 m 1.5 m

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Q: Let: (2 -1 A = -4 2 -3 and D = %3D 1 4 Perform the following operations: С. ВС d. CD

A: We have to perform given operations.

Q: In exercises 19 to 20. Construct a truth table for each compound statement. 19. ~p V q 20. [~ (p V q...

A: 19) Truth tabel of ~p∧q p q ~p ~p∧q T T F T T F F F F T T T F F T T

Q: 1. Find the magnitude and direction of the resultant. y 200 KN 40 30° 150 kN USING: a.) Analytical M...

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Q: Problem #2: The heat index I is the perceived air temperature when the actual temperature is T and t...

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Q: 10. It is given that AABC ~ AEDF such that AB = 5 cm, AC=7 cm, DF = 15 cm and DE = 12 cm, then the %...

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

Q: Use the formula for the binomial series: (1+x)" - I + mx + + . = 1+ E. if Jal < 1 to obtain the Macl...

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Q: variance of [

A: Given,       6 ,7 ,10 ,11 ,12 ,13 ,16 ,18 ,25

Q: 1 3. Find the coordinate Vector [x]3 of the vector x = relative to the given basis B. 1 3 B = -4

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Q: 4. We have seen in lectures that the differentiation of a function given by valid power series expan...

A: If limn→∞ |an+1an|=Lwhere L is a positive real number or L=0 or L=∞, then the power series ∑n=0∞an(x...

Q: b. Find r with 0 <r< 601 such that 257 = r mod 601. c. Find the last two digits of 3140 (when expres...

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Q: 15. What is the solution of the recurrence relation an = -2an-1+ 3an-2 with ao = 12 and a1 = -8? ) :...

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Q: Problem 1. Let 4 0 0 0. -1 2 0 -1 5 2 6. 13 1 5 2 ,D = 3 A = 1 0. ,E = 1 3 1 6. 0 7 -3 0 2 4 1 3 10 ...

A: according to our guidline we can do at most three subpart of a question .please post remaining quest...

Q: Factor each polynomial completely using any method a. (x + 1) (x^2 - 5x + 6)

A: The general form of an nth degree polynomial is equal to a0xn+a1xn-1+···+an=0, where a0≠0. If a0=0, ...

Q: Solve the following non-linear system of equations: 1 + y? + = 6 1² - y + 2: = 2 21 + y - 22 = 3

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Q: Determine t he Intervals for the following senies convergence nニ1 (6) n-1 o (5x)"

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Q: Find the transpose of the matrix. 1 4 62 4 98 3 6 8 9 0 2 3 08

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Q: For which of the following integrals would partial fraction decomposition be an appropriate method o...

A: We have,∫2x+1x2-9x+18dx=∫2x+1x2-3x-6x+18dx=∫2x+1xx-3-6x-3dx=∫2x+1x-3x-6dx

Q: For the next 3 questions, write the elements of the set of your answer in ascending order. If U = {1...

A: Here given that                        U=1, 2, 3, 4, 5, 6, 7, 8, 9, 10                         A=2, ...

Q: The sum of three numbers is 87 , third numbers 9 more than the first . Second number 4 times as many...

A: Given- The sum of three numbers is 87, third numbers 9 more than the first. Second number 4 times as...

Q: Prove that there is no hooked Skolem sequence of order n= 8. Type your answer here

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Q: For matrices M and N, the 3rd column of NM is all zeros. Matrix M has 5 columns and none of them are...

A: Please find the detailed solution in next steps

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Q: Write the form of the partial fraction 5х -7 x²(x² + 1) decomposition: A B + C X' + 1 A + Сх + D + x...

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