E 25 rcise 2.2: Let ƒ(x) = x³ - 5x² + 10x + 15, g(x) = -x³ + 3x² + 16x − 21 be twotions.a) Both functions have a launch point that through it is passing a tangent line to bothfunctions. Find the equation of this line. (Remark: you can find the equation line bythe formula y - y₁ = m(x-x₁)where (x₁, y₁) is a point on the line and m its slope)b) Find the equation of the lines which are parallel to each other, and they are tangentline to the functions above, such that the line that connects their launch points isparallel to the y-axis.

Let , be two equations.To Find:a) Both functions have a launch point that through it passing a…

cise 2.2: Let f(x) = x³ - 5x² + 10x + 15, g(x) = -x³ + 3x² + 16x - 21 be tw cions. 1) Both functions have a launch point that through it is passing a tangent line to both functions. Find the equation of this line. (Remark: you can find the equation line t the formula y - y₁ = m(x-x₁) where (x₁, y₁) is a point on the line and m its slope) >) Find the equation of the lines which are parallel to each other, and they are tangen ling to the functi above such that the line that connects their launch points is

cise 2.2: Let f(x) = x³ - 5x² + 10x + 15, g(x) = -x³ + 3x² + 16x - 21 be tw cions. 1) Both functions have a launch point that through it is passing a tangent line to both functions. Find the equation of this line. (Remark: you can find the equation line t the formula y - y₁ = m(x-x₁) where (x₁, y₁) is a point on the line and m its slope) >) Find the equation of the lines which are parallel to each other, and they are tangen ling to the functi above such that the line that connects their launch points is

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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100 O m=28 O m=75 O m=16 O m=12
ed. 8 E C 105⁰ ? B ZC
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26 14 29 12 28 10 25 20
EO OB
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C 20 25
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30 H. 260 38