Mathematics Logic & Set Applications, Mathematics

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Prove that the length of the altitude on the hypotenuse, If A be the area o...

If A be the area of a right triangle and b one of the sides containing the right angle, prove that the length of the altitude on the hypotenuse is 2  Ab /√ b 4 +4A 2 . An

Mensuration of plane figures, a sail has a spread of canvas as measured 12'...

a sail has a spread of canvas as measured 12'',12'', 15'' and 9'' and it has 90 degrees. Find the area of one side of the sail

Find the derivatives, Find the derivatives of the following functions a)...

Find the derivatives of the following functions a)      y = 5x 4 +3x -1-x 3 b)      y = (x+1) -1/2 c)      y= e x2+1 d)     y= e 3x lnx e)     y =ln(x+1/x)y

Multiplication in decimal notations., Consider the following multiplication...

Consider the following multiplication in decimal notations: (999).(abc)=def132 ,determine the digits a,b,c,d,e,f. solution) a=8 b=6 c=8 d=8 e=6 f=7 In other words, 999 * 877 = 8

How to find value in polynomial?, Example  Find the values of the ...

Example  Find the values of the given expressions. Also given that a = 2, b = 3, c = 1, and x = 2. 8a + 5bc          =       8.2

The value of m+n, Every point (x,y) on the curve y=log2 3x is transferred t...

Every point (x,y) on the curve y=log2 3x is transferred to a new point by the following translation (x',y')=(x+m,y+n), where m and n are integers. The set of (x',y') form the curve

An aeroplane is flying , An aeroplane is flying at a specific height of 5 k...

An aeroplane is flying at a specific height of 5 km, and at a velocity of 450 km/hr. A camera on the ground is pointed towards the plane, at an angle θ from the horizontal. As the

Calculus!, x+2y^2=63 and 4x+y^2=0; Find the area of the regions enclosed by...

x+2y^2=63 and 4x+y^2=0; Find the area of the regions enclosed by the lines and curves.

Arithmetic/Geometric Sequences and Binomial Expansion, Find the 35th term o...

Find the 35th term of the sequence in which a1 = -10 and the common difference is 4.

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