Sir Mike Ambrose is the author of the question.
At x = 0, y = 2.
At y = 16, x = 1.
Gradient of the curve at x = 1 or at the tangent is;
dy/dx = 3In2*2^(3x+1)
For x = 1
dy/dx = 48I...
#Sir Mike Ambrose is the author of the question.
Let the side length of the regular Pentagon be 1 unit.
Therefore Area Pentagon is;
(5*1)÷(4tan(180/5))
= 5/(4tan36) space units.
= 1.72047740...
Sir Mike Ambrose is the author of the question.
Let the side length of the square be 1 unit.
Therefore;
Area square is;
1² = 1 square units.
It implies;
Area R is;
Area square -...
Sir Mike Ambrose is the author of the question.
Let the side length of the be 2 units.
Therefore;
BC = 2 units.
It implies;
Area orange is;
½(1*2) = 1 square units.
Area green is;...
Sir Mike Ambrose is the author of the question.
Please, move the above question left/right one time to review the solution of the question.
Thank you kindly.
Exact volume of the solid generated...
Radius of the circle, r is;
r = 5√(5) units.
Therefore;
Area yellow is;
Area sector with radius 5√(5) units and angle (2asin(√(2)/(2√(5))))° - 2(area triangle with height 5 units and bas...
At point P;
x = (π/6)~30°
y = √(3)-2
Gradient at point P is;
dy/dx = 2/(1+2sinxcosx)
At x = (π/6)~30°
dy/dx = 8-4√(3)
It implies;
yQ exactly as a single fraction in terms of...
Sir Mike Ambrose is the author of the question.
Length AD is;
AD = 3√(15) cm.
Therefore;
Area Orange exactly in cm² is;
Area triangle with height √(15) cm and base 3√(15) cm + Area tri...
Let the side length of the regular pentagon be 1 unit.
tan36 = a/0.5
a = 0.363271264 units.
b² = 0.363271264²+0.5²
b = 0.61803398875 units.
tan72 = c/0.5
c = 1.53884176859 units.
Are...
Gradient of the curve at x = 3 is;
dy/dx = (-19/20)
It implies;
Area yellow exactly in square units decimal is;
Area triangle with height (5/(4sin(atan(19/20)))) units and base (5/(4sin...
