Can you answer these four questions, please?    Find the equation of the line joining the points (4, -3) and (-2, 7).                  Find the equation of the line passing through the point (2, -7)  and perpendicular to the line 3y = 8 – 2x   Given that f(x) = 3x + 2 g(x) = 4 – x and h(x) = 2x - 7                                                    2 Find:- i) f(-4) =.    ii) g[h(5)] =       iii) f[g(8)] =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Can you answer these four questions, please?

 

  •  Find the equation of the line joining the points (4, -3) and (-2, 7).

                

  • Find the equation of the line passing through the point (2, -7)  and perpendicular to the line 3y = 8 – 2x

 

  • Given that f(x) = 3x + 2 g(x) = 4 – x and h(x) = 2x - 7

                                                       2

    Find:- i) f(-4) =.    ii) g[h(5)] =       iii) f[g(8)] =

    iv) hf(x)                    v) g-1(0) =

 

  •  a) Two numbers when multiplied equals 54.

    If the difference of the two numbers is 3 and x represents the smaller number

    i) Represent the information given in equation form

    ii) Express as a quadratic equation

    iii) Solve the quadratic equation to find possible values for x

    iv) If told that x is a positive numbers, what are the values of the two original numbers?

 

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