I believe that x=20 from the math i did hopefully its helpful.
3(2)(-1)=
3×2×-1=
3×2=6×-1=-6
-6 is the answer
Answer:
45.367 cm
Step-by-step explanation:
Approximating to a more number of decimal places gives a better estimation of the exact value.
For 45.367 cm, we approximated to three decimal places or five significant figures.
For 43.43 cm, the approximation is done to four decimal places.
Therefore the measurement 45.367cm is more precise because it has a relatively smaller error.
Answer:
176
Step-by-step explanation:
every 11 mm in the drawing equals 4m.
every 1 mm in the drawing equals 4/11 m
Actual size of school yard = 484*4/11 = 176m
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
