V is the 3D region enclosed by S.
div(F)= <span>∂(x)/∂x + ∂(y)/∂y + ∂(10)/∂z = 2
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<span>∫ = ∫∫∫ [V] div(F) dV = 2 ∫∫∫ [V] dV
Using cylindrical coords, ( rcos(θ), y, rsin(θ) ), dV=rdrdθdy
∫ = 2 ∫∫∫ rdrdθdy, [r=0,1], [θ=0,2π], [y=0,7−rcos(θ)] = 14π (easily integrated)</span><span>
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Answer: The slope of the line can be determined from the gradient equation, rise (y axis)/ run (x-axis)
Hence let (-1, 8) be A and (2, -4) be B. The slope from A to B is (-4-8)/(2-(-1))= (-12)/3= -4
Hence the gradient/ slope of the line is -4.
Step-by-step explanation:
PEMDAS. Parenthesis comes first. 3+2 = 5 which is then multiplied to 6/2 which is 3 so 3 x 5 is 15.
There are 1000 ml in 1 l.
so , 50/1000
= 1/20