solve the following 1) 2/3 ≤ − 4/5 (x − 3) < 1

Q: 1. Express the sum 2.019+2.020 into a fraction of two natural numbers. (2.019 = 2.019191919.. .) 2.…

A: As per the guidelines we can solve 1 problem only.

Q: Find the number of nonnegative integer solutions to x + y + z = 15 with the conditions x ≥ 4, y ≥ 1.

A: We have given that x+y+z=15                            ……(1) x≥4, y≥1   x≥4 Subtract 4 from both…

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Q: 2) By using the iterative formula x+1= and x, 1.5, then the value of x, is O 0.3652 O 1.3652 10 of…

A: Given That :  x2+4x=10 and  xn+1=10xn+1 is the iterative formula for the given equation in [1,2] and…

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Q: How many non-negative integer solutions (O is allowed) are there to r +y+ z = 24?

A: The given equation is, x+y+z= 24 We know that, For equation,  x1+x2+......xr=n  There are n+r-1Cr-1…

Q: would you prove that the answers to the diophantine equation y^2-x^3=0 are the pairs (n^2,n^3) for…

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Q: How many non-negative integer solutions are there of the equation: x + y + z + w = 15, such that…

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

A: The given equation is

Q: Q.4 Solve (also verify) following IVP by any method of your own choice. (7) (10 + 2t)dq + 2qdt =…

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Q: 2. Count the number of rearrangements of the word TASTE in which no letter appears in any of its…

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Q: 1.Solve the following integer LP using branch and bound method: + 5 x2 MAX Z= subject to: + 10 < 20…

A: Answer

Q: Use the previous problem to show there are infinitely many solutions. to r² = 1+ y² +².

A: As per the question we have to prove that there are infinitely many solutions to the equation : x2 =…

Q: 9. Solve In (x+5) 2 2. O A. (x | x 2 12.3891} B. (x | x 2 2.3891} O C. (x |xs 12.3891} O D. {x |x s…

A: Given:         ln(x+5)≥2

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Q: 1. A positive integer is six less than the other integer. 14 The sum of the reciprocal of the two…

A: As per our company guidelines, we are supposed to solve first question for you. Please repost other…

Q: 3. How many integer solutions are there to the equa- tion X1 + x2 + x3 = 9, with x; > 0? How many…

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Q: Is either x = 10 or x = 13 a solution to 10 + x > 9 ? They are both solutions. O x= 13 is a…

A: Given  10+x &gt; 9

Q: 12sin2(t)+5cos(t)−9=012sin2(t)+5cos(t)-9=0 for all solutions 0≤t<2π0≤t<2π

A: Solution

Q: The sequence (xn) of positive real numbers satisfies the relationship xn−1xnxn+1 = 1 for all n > 2.…

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Q: Solve dudt+ut−1=5t+3 subject to u(−2)=−1

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Q: Solve for x 1.    x/13 =-9/38  2.   3/14=5x/79 3.  5 1/2  is to

A: 3rd part is not clearly understand so pls upload again clearly.

Q: Consider the following IVP: x" - 4x' + 4x = 4e2t; x(0) = -1, x'(0) = -4 %3D %3D

A: We have to solve the given differential equation,(IVP).

Q: The first iteration of applying false position iterative method to solve 48 on (2,3) is: 2.0758…

A: Given: The given equation is x=485

Q: 8. How many integer solutions are there to the inequality Y1 + y2 + Y3+ y4 0, 0 < y2 ≤ 10, 0≤ Y3 ≤…

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Q: 1. By applying an appropriate theorem, explain why x-100 x = 0 has a solution in the interval (1,4).

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Q: 1. Solve the following: (a) 2/3≤ −4/5(x − 3)<1  (d) 6z−9−z2 <0 (e) 3?2 +21?+30≥5?2 −20

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Q: 15. Find the general solution of dr bcosedr + rsinode

A: General solution of differential equation

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Q: 3. (a) How many non-negative integer solutions (x1, x2, x3, x4, x5) are there in each of the…

A: As per the guideline, 3 subparts can be answered. please repost the remaining subparts. thank you.

Q: how many integer solutions are there to the equation  X + y + z = 10 for which  a. x,y and z + 10…

A: The positive integers are all the numbers that are greater than 0. The negative integers are the…

Q: 2. Find the Solution 3=1.6 O.07 3. Find the Mocisure. of the markes ar 9. 8X+26 10

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Q: Show that o () –1 is an implicit solution to 2 -2y on the interval (-00, 00). Inload our

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Q: How many non-negative integer solutions are there of the equation: x + y + z + w = 15, such that w=5…

A: If we have an equation of the form x⩾a then the variable x can take up any value greater than or…

Q: Solve the following: (a) | x-4 /3 | ≥ 3 (b) |x-2 /2  −1/2 | < 1 (c) 2/3  ≤ −4/5   (x − 3) < 1 (d)…

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Q: The solution set for x satisfying both 1| 1 - is O a) None of these b) (-∞, – 1) U (1, 3] ОФ (1, 3]…

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Q: (x – 2)² – In x = 0, [1,2]

A: Follow the python script.

Q: 1 In the interval -T, 7| the equation sin x = (a) has an infinite number of solutions O (b) has two…

A: This question is based on general solution of Sine function.

Q: Two different types of polishing solutions are being evaluated for possible use in tumble-polish…

A: Given that, Two different types of polishing solutions are being evaluated for possible use in…

Q: 1.Prove that equation x^2 + y^3 = 60 does not have any positive integer solution. Prove by…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: 3. Solve for x: O x= 13.5 %3D O x= 2.7 O x = 9 Ox= 6 6.

A: Explanation for the correct choice The Intersecting Chords Theorem states that if two chords…

Q: Two real numbers X and Y are chosen at random in the interval (0, 1). Compute the probability that…

A: Selecting two points x and y from the interval (0,1) is identical to selecting a single point from…

Q: 5. Find the general solutions to the nonhomogencous, lincar difference cquations. (a) x,12 + X141 –…

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Q: How many non-negative integer solutions are there of the equation: x + y + z + w = 15, such that w =…

A: We need to find the number of non-negative integer solutions are there of the equation: x + y + z +…

Q: 4. Find the solution to the IVP in explicit form and determine the interval in which the solution is…

A: y'=3x2-ex2y-5dydx=3x2-ex2y-5(2y-5)dy=3x2-exdx Integrate both sides

Q: Solve 2cos(2θ)=2sin^2(θ)+1 for all solutions 0≤θ<2π

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.