Answer:
Step-by-step explanation:
a) The maximum weight M that can be supported by a beam is jointly proportional to its width w and the square of its height h, and inversely proportional to its length L. If k represent the constant of proportionality, the expression would be
M = kwh²/L
b) if w = 4 inches, h = 6 inches, length = 12 ft
1 foot = 12 inches
12 ft = 12 × 12 = 144 inches. Therefore
L = 144 inches
M = 4800lb
Substituting these values into
M = kwh²/L, it becomes
4800 = (k × 4 × 6²)/144
4800 = k
The equation becomes
M = 4800wh²/L
c) if L = 10ft(10 × 12 = 120 inches),
h = 10 inches
w = 3 inches, then
M = 4800 × 3 × 10²/120
M = 12000 lbs
X=25
Step-by-step explanation:
- Because 5x5 =25, so the answer is x=25
Answer:
the measure of the inscribed is half the intercepted arc measure, that is =
.
Step-by-step explanation:
i) Intercepted arc measures 124°
ii) the measure of the inscribed is half the intercepted arc measure, that is =
.
Answer:
A is the right answer
Step-by-step explanation:
Hope it helps
It looks like the vector field is
<em>F</em><em>(x, y)</em> = 3<em>x</em> ^(2/3) <em>i</em> + <em>e</em> ^(<em>y</em>/5) <em>j</em>
<em></em>
Find a scalar function <em>f</em> such that grad <em>f</em> = <em>F</em> :
∂<em>f</em>/∂<em>x</em> = 3<em>x</em> ^(2/3) => <em>f(x, y)</em> = 9/5 <em>x</em> ^(5/3) + <em>g(y)</em>
=> ∂<em>f</em>/∂<em>y</em> = <em>e</em> ^(<em>y</em>/5) = d<em>g</em>/d<em>y</em> => <em>g(y)</em> = 5<em>e</em> ^(<em>y</em>/5) + <em>K</em>
=> <em>f(x, y)</em> = 9/5 <em>x</em> ^(5/3) + 5<em>e</em> ^(<em>y</em>/5) + <em>K</em>
(where <em>K</em> is an arbitrary constant)
By the fundamental theorem, the integral of <em>F</em> over the given path is
∫<em>c</em> <em>F</em> • d<em>r</em> = <em>f</em> (0, 1) - <em>f</em> (1, 0) = 5<em>e</em> ^(1/5) - 34/5