Do you have notes that you could share with me? Then maybe I could manage to help out more
Answer:
your answer to (i) is 5 because anything with a denominator of 0 is undefined
Step-by-step explanation:
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Answer:
V(x,y,z) ≈ 61.2 in
Step-by-step explanation:
for the function f
f(X)=x³
then the volume will be
V(x,y,z)= f(X+h) - f(X) , where h= 0.2 (thickness)
doing a Taylor series approximation to f(x+h) from f(x)
f(X+h) - f(X) = ∑fⁿ(X)*(X-h)ⁿ/n!
that can be approximated through the first term and second
f(X+h) - f(X) ≈ f'(x)*(-h)+f''(x)*(-h)²/2 = 3*x²*(-h)+6*x*(-h)²/2
since x=L=10 in (cube)
f(X+h) - f(X) ≈ 3*x²*(-h)+6*x*(-h)²/2 = 3*L²*h+6*L*h²/2 = 3*L*h*(h+L)
then
f(X+h) - f(X) ≈ 3*L*h*(h+L) = 3* 10 in * 0.2 in * ( 0.2 in + 10 in ) = 61.2 in
then
V(x,y,z) ≈ 61.2 in
V real = (10.2 in)³-(10 in)³ = 61 in
Hey there!
To solve a system of equation by graphing, first make sure both your equations are solved for y so that you can graph it (make sure it is in a form like: y=mx+b or y=ax^2+bx+c, etc).
Then, graph the equations on the graph, and the point where all the lines intersect would be your answer which should look like: (x,y)
However, if you have linear equations and the lines are parallel to each other, then there is no solution. If the lines graph to be the same line, then your answer would be all real solutions.
