A feeding trough for cattle is made from a metal sheet 3 ft wide. The sides of the trough are made by folding up a flap 1 ft wide from each end of the strip. Each flap makes an angle θ with the horizontal. a. Write an expression representing the area of a cross section of the trough in terms of θ . b. show that the area can be written as A = 1 2 sin 2 θ + sin θ .
A feeding trough for cattle is made from a metal sheet 3 ft wide. The sides of the trough are made by folding up a flap 1 ft wide from each end of the strip. Each flap makes an angle θ with the horizontal. a. Write an expression representing the area of a cross section of the trough in terms of θ . b. show that the area can be written as A = 1 2 sin 2 θ + sin θ .
A feeding trough for cattle is made from a metal sheet
3
ft wide. The sides of the trough are made by folding up a flap
1
ft wide from each end of the strip. Each flap makes an angle
θ
with the horizontal.
a. Write an expression representing the area of a cross section of the trough in terms of
θ
.
b. show that the area can be written as
A
=
1
2
sin
2
θ
+
sin
θ
.
a
->
f(x) = f(x) = [x] show that whether f is continuous function or not(by using theorem)
Muslim_maths
Use Green's Theorem to evaluate F. dr, where
F = (√+4y, 2x + √√)
and C consists of the arc of the curve y = 4x - x² from (0,0) to (4,0) and the line segment from (4,0) to
(0,0).
Evaluate
F. dr where F(x, y, z) = (2yz cos(xyz), 2xzcos(xyz), 2xy cos(xyz)) and C is the line
π 1
1
segment starting at the point (8,
'
and ending at the point (3,
2
3'6
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