f={(2,5),(3,−2),(0,0)}
and
g={(−2,−5),(3,1)}
Find (f+g)(3) =
Answer: -1
Proof:
(f+g)(x) = f(x) + g(x)
f(3) + g(3) = (-2) + (1) = -1
the answer is really simple it is the cirucumfrence of my foreskin divided by the width of my 8===D - -
4. Consider functions \(f(x, y)=\sqrt[3]{x^{3}+y^{3}}\) and \(\mathbf{c}(t)=(t, 2 t)\).(a) Show that \(f_{x}(0,0)\) and \(f_{y}(0,0)\) exist. What is \(\nabla f(0,0)\) ?(b) Show that \(f\) is not differentiable at the point \((0,0)\).(c) Find \((f \circ c)(t)\) and then compute its derivative at the point \(t=0\).(d) Show that \((f \circ \mathbf{c})^{\prime}(0) \neq \nabla f(\mathbf{c}(0)) \cdot \mathbf{c}^{\prime}(0)\). Does this contradict the chain rule formula? why? why not?
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Iculate the probability of the foltowing events G first digit 1, 2, or 3 P(F) P(G) | F-sum of digits-4 P(F and G) P(F given G) P(F and G)/P(G) 2 Dice Sample Space 1,6 2,6 3,6 1,5 1,1 2,1 3,1 4,1 5,1 1,2 2,2 3,2 4,2 5,2 6,2 1,3 2,3 3,3 4,3 5,3 6,3 1,4 2,4 3,4 4,4 5,4 6,4 2,5 3,5 4,5 4,6 5,5 5,6 6,5 6,6 6,1 25/2018 HW 2- Probability 1