Show that the vector field sin 2y x² Ĥ(x, y) = (y) = (₂ Y x² + 1 is conservative by finding all its potential functions. " -1 tan ¹ x + 2 cos 2y X - In y

Q: 5. Solve 2/4x+1| ≥ -7

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Q: Solve x^2 +6x ≤ -5. Show your work

A: Solution of equations

Q: Is 5 a solution of x+3>8?

A:

Q: Solve me linear meguality 4X-1く8+9x

A: To solve:  4x - 7 < 8 + 9x…

Q: 7- 7b <-42 or 4 + b < 10

A: Given : 7 - 7b ≤ -42 or 4 + b ≤ 10    To find : Solution of given expression and graph on number…

Q: 8 4n-3 +8>32

A:

Q: 7) The total cost for producing x Spikeball sets per day is-x + 8x + 20 dollars, and at this…

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Q: Solve x+ 3 <5.

A:

Q: 2 + 3s (s + 2)³ = (-21² + 3t) e-2i

A: Follow the procedure given below.

Q: 4y– 3x :) y' = 2х — у

A: An integral assigns numbers to functions in a way that describes displacement, area, volume, and…

Q: A survey was conducted among four consumer-classes as to the relationship between the average price…

A: Solution: From the given information, The data for consumer survey is The data for Firm survey is

Q: Solve: 35x³(x² - 25) (4x - 16) ≤ 0

A:

Q: 4 -- ICI iC =(-1 4

A:

Q: 12 The sum of two consecutive even integers is more than -14. What is the smallest value that will…

A: Given query is to find indicated integers.

Q: Prove the equations = 4 and x= 4(x-2) x+2 are equivalent. Explain why or why not.

A:

Q: Conplex Fourien -2<メ<-ト -くx< 一<x<2 fox=

A:

Q: x+2>x+3 2<3 Explain what our solution is.

A: x+2&gt;x+3 =&gt; 2&gt;x+3-x

Q: p = -x2 - 2x + 86 and p = 8x + 11 equilibrium quantity thousand units equilibrium price dollars

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Q: 6 15-2- 45 lution

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Q: If (4x² +xy) :(3xy – y² ) = 12 :5, find x:y

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Q: Translate the point (-5, -2) given the rule (x, y) --> (x + 3, y - 6

A: given point (-5,-2), we have to translate it to new point  let P be the point  P(x+3,y-6)

Q: The solution of the equation 3 x 5* + 25 = 100 is x =

A: Simplification

Q: The number of non-negative integer solutions to the equation x₁ + x₂ + x3 + x4 + X5 + X6 + x7 = 12…

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Q: X^2+11х+30-0

A: This is a question of solving quadratic equation

Q: 7 10b + 9-7<-14

A:

Q: bn=bn-1+6bn-2 , n >= 2 ; b0=6, b1=8. Provide typed answer if possible.Thank you

A: To find the series

Q: Solve | 2x - a | = b where b > 0

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Q: Solve: x + 1 > 3 and x + 4 2 x + 4 s 8. and x< 4 ++ -4-3 -2 -1 0 1 2 3 4 +++

A: To solve the system of inequalities:x+1&gt;3,and x+4≤8 Solution: Considering,x+1&gt;3 On simplifying…

Q: x2-4x-21=0 solution set is?

A: Refer to the question, we have to find the value of x for the quadratic equation.

Q: Solve Absolute value of 2x+4 is greater than 6

A:

Q: 8(5x-3)=6(-3-4) No solution or infinite solution

A: The given equation is  8(5x-3) =6(-3-4)  Let us solve the given equation,

Q: Let f(x) =x² +3, g(x) = /x +1 then (gof)(x) =

A: