+3J -7x -21 0 ENGINEERING MATHS TECHNICIAN PROGRAMMES ASSIGNMENT TWO TERM 2 AND 3 2024 QUESTION Express In (x)+ In 4- ½ ln x as a Smale log 6) Solve the Simultaneous equation x+2y+2=3 2x+y+32=-1 3x+2y+ 2 = 7 QUESTION 2 from A Cylindrical Can (with lid) of radius rcm is made from 300cm of Thin Sheet metal a) Find and hs a) Show that the height, hem is given by h = 150-xr b) Fmd and h So that the Can will Contain Ar the maximum possible volume and Find This Volume. QUESTION 3 From the point P(1,3), a perpendicular PQ Is drawn to the line Joining A(-4, -8) B(4,4) find a) £quations of AB and the perpendicular 6) Coordinates of the point where they Intersect c) Distance of P from the line AB P(-1,3) A(-4,-8) B(4,4) →x о

+3J -7x -21 0 ENGINEERING MATHS TECHNICIAN PROGRAMMES ASSIGNMENT TWO TERM 2 AND 3 2024 QUESTION Express In (x)+ In 4- ½ ln x as a Smale log 6) Solve the Simultaneous equation x+2y+2=3 2x+y+32=-1 3x+2y+ 2 = 7 QUESTION 2 from A Cylindrical Can (with lid) of radius rcm is made from 300cm of Thin Sheet metal a) Find and hs a) Show that the height, hem is given by h = 150-xr b) Fmd and h So that the Can will Contain Ar the maximum possible volume and Find This Volume. QUESTION 3 From the point P(1,3), a perpendicular PQ Is drawn to the line Joining A(-4, -8) B(4,4) find a) £quations of AB and the perpendicular 6) Coordinates of the point where they Intersect c) Distance of P from the line AB P(-1,3) A(-4,-8) B(4,4) →x о

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 15E

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