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d1i1m1o1n [39]
3 years ago
13

Greg had $17 more than Fred, and together they had just enough money to by their mom a present that costs $85. How much money di

d Greg have?
Mathematics
2 answers:
babunello [35]3 years ago
3 0
<u>Define x:</u>

Let Fred had x dollar.

Fred = x 
Greg = x + 17

<u>Solve x :</u>

x + x + 17 = 85
2x + 17 = 85
2x = 68
x = 34

<u>Find the amount each of them had:</u>

Fred = x = $34
Greg = x + 17 = 34 + 17 = $51

Answer: Greg had $51
raketka [301]3 years ago
3 0
Greg had $51 while Fred had $34.
Greg has $17 more than Fred: 51-34 = 17
Together, their money is enough to get their mom a present that costs $85 ($51 + $34 = $85)

So Greg have $51.
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simplify
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For each vector field f⃗ (x,y,z), compute the curl of f⃗ and, if possible, find a function f(x,y,z) so that f⃗ =∇f. if no such f
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\vec f(x,y,z)=(2yze^{2xyz}+4z^2\cos(xz^2))\,\vec\imath+2xze^{2xyz}\,\vec\jmath+(2xye^{2xyz}+8xz\cos(xz^2))\,\vec k

Let

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where \partial_\xi denotes the partial derivative operator with respect to \xi. Recall that

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\vec\jmath\times\vec k=\vec i

\vec k\times\vec\imath=\vec\jmath

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The cross product reduces to

\nabla\times\vec f=(\partial_yf_3-\partial_zf_2)\,\vec\imath+(\partial_xf_3-\partial_zf_1)\,\vec\jmath+(\partial_xf_2-\partial_yf_1)\,\vec k

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\dfrac{\mathrm dh}{\mathrm dz}=0

\implies h(z)=C

for some constant C. So

f(x,y,z)=e^{2xyz}+4\sin(xz^2)+C

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