Copy the problem and answer it on your answer sheets. п(3п-1) Prove 1+ 4 + 7 + ..+ (3n – 2) = 2

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Q: 6. Solve (a) y' = 2ry(1+ 7²)-1 (Hint: Separate.)

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Q: Find all solutions to 2sín (20)-12=0 on the interval

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Q: Evaluate rs + 14s when r = 6 and s 4

A: Given :To evaluate              rs+14swhen r=6 and s=14

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Q: a) For what value of k does the equation e2x = ksqrt(x) have exactly one solution?

A: Note: According to Bartleby guidelines; for more than one question asked, only the first one is to…

Q: Find the solution for an = 6a-1-8an-2 for n>2 and ao = 4, aj = 10.

A: Given recurrence relation is an=6an-1-8an-2, n≥2 and a0=4, a1=10. Let an=xn be a solution of above…

Q: 1. x3 – 2x2 – 5 = 0, [1,4]

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Q: Q4: Answer two only: 4 2 2 1 -2 -1 1 Find AB and AC. (A): If A = 0; 2 3 1 B= 2 -2 -2 and -1 2 1 3 C…

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Q: Solve 5sin(2θ)−5cos(θ)=0 for all solutions 0≤θ<2π. θ=

A: The given equation is

Q: Q4: Answer two only: 4 2 2 1 -1 1 (A): If A = -2 Find AB and AC. 01 0; 2 B = 2 -1 3 -2 -2 and 2 1 3…

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Q: 3. If the expression was placed in the form ax where a and b are real numbers, then which of the 2x…

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Q: 2. Determine the next equation and verify the result. 2^2 – 1^2 = 2 + 1 3^2 – 2^2 = 3 + 2 4^2 – 3^2…

A: Given 22-12=2+132-22=3+242-32=4+3

Q: If B = 3n – 10 and C = n² – 6n – 6, - - find an expression that equals 2B – 3C in standard form.

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Q: Complete

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Q: Hi Is it possible to reach the same correct answer using permutation of combination equations ex=…

A: Two methods that used to determine the number of possible outcomes. They are permutation and…

Q: 12) solve For O5OL207 2tan" o = I+ 2 tano +3tan 0

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Q: b) How many solutions are there to x1+2+x3+T4 =20 where r4 > 10 and each x; is a natural number (0…

A: We will answer the first question as we answer only one question at a time. Please resubmit the…

Q: Solve the following expression when d = 5 %3D 2d + 4d –9 -7 |

A: Given :  d = 5  2 d  + 4 d  - 9 - 7

Q: 4. Solve an = 2an-1 +1 if n > 2 and a1 = 3. %3D %3D

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Q: Find the argument of -a? + jb. Give your answer in the range -n to n.

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Q: How many solutions are there to the equation: x1 + x2 + x3 = 19 where 1. x1, x2, x3 are all…

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Q: simplify by removing the inner parentheses first and working outward. -(3n2 - 2n + 4) - [2n2 - (n2 +…

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Q: Armando claims that the solutions to 2xx = |x +5 are x = 5 and x = -3. Is he correct?

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Q: x3 – 2x? – 5 = 0, [1,4]

A: f(x) = x³ - 2 x ² - 5 , [1,4] f(1) = -6 <0,  f(2) = -5 <0, f(3) = 4 >0, f(4) = 27 >0…

Q: 2. Determine the next equation and verify the result. 3^2 – 1^2 = 2^3 6^2 - 3^2 = 3^3 10^2 – 6^2 =…

A: First, see the pattern. In the first column, the difference is increasing by 1 6-3=310-6=415-10=5 So…

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Q: How many integer solutions are there to the equation x+y+z=10 if x, y, and z are all bigger than -2?

A: Given, x+y+z=10 x,y,z>-2

Q: How many nonnegative solutions are there to the equation x1 + x2 + x3 + X4 + x5 = 21.

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Q: Use false position methodto find the solution to the following within 10−6

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Q: What is the solution to the equation? 11n (7 + 26) = In (x² – 16) – In (z + 4) -

A: Given that: 12ln(x+26)=ln(x2-16)-ln(x+4)

Q: Negate the following expression: (x>7)-((x3 -x)< 3)

A: Negate the following expressionx&gt;7↔x3-x&lt;3        →1

Q: 2n? - п +1 (а) а, — In 2n2 + 10n – 7 on

A: Explanation of the solution is given below....

Q: Please solve Т(n)= 7T(n-1) -6T(n-2), T(0)=2, T(1)=7.

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Q: How many positive integer solutions (zero is not allowed) to r+y =42?

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Q: 1. Find the general solution of У"-Зу'— 4х? —2у

A: See the attachment

Q: Find the solution to an = -3an 1- 3a, 2– an 3 ,n > 3 with ag — 5, а, — —-9 and az 3 15.

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Q: Find the value of x in OQ. 5x – 6. LA 2x+ 9- N/

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Q: Q4: Answer two only: 2 1 -1 (A): I A=2 -2 Find AB and AC : - 1²/2 3 11 -2 -2 and 2 -- }

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Q: Apply by whole re and Solve. 13/9 2) 3.2 3/10 3) 3. 5/2

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Q: In x Q.3 Find

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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Q: Which of the following is a solution of x2- 7x =-5? 7士V69 2. 7 29 2. -7+29 2 . -7+69

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Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.