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Sedbober [7]
3 years ago
13

Me2410x week 3 assignment

Mathematics
1 answer:
Dvinal [7]3 years ago
5 0
What is you questions
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Solve on the interval [0,2pi):<br>3 sec x-1 = 2​
Lelechka [254]

Answer:

0

Step-by-step explanation:

3 0
3 years ago
Find the max and min values of f(x,y,z)=x+y-z on the sphere x^2+y^2+z^2=81
Anton [14]
Using Lagrange multipliers, we have the Lagrangian

L(x,y,z,\lambda)=x+y-z+\lambda(x^2+y^2+z^2-81)

with partial derivatives (set equal to 0)

L_x=1+2\lambda x=0\implies x=-\dfrac1{2\lambda}
L_y=1+2\lambda y=0\implies y=-\dfrac1{2\lambda}
L_z=-1+2\lambda z=0\implies z=\dfrac1{2\lambda}
L_\lambda=x^2+y^2+z^2-81=0\implies x^2+y^2+z^2=81

Substituting the first three equations into the fourth allows us to solve for \lambda:

x^2+y^2+z^2=\dfrac1{4\lambda^2}+\dfrac1{4\lambda^2}+\dfrac1{4\lambda^2}=81\implies\lambda=\pm\dfrac1{6\sqrt3}

For each possible value of \lambda, we get two corresponding critical points at (\mp3\sqrt3,\mp3\sqrt3,\pm3\sqrt3).

At these points, respectively, we get a maximum value of f(3\sqrt3,3\sqrt3,-3\sqrt3)=9\sqrt3 and a minimum value of f(-3\sqrt3,-3\sqrt3,3\sqrt3)=-9\sqrt3.
5 0
3 years ago
What is the sum of the negative integers greater than -5
uranmaximum [27]
-10= ( -4)+(-3)+(-2)+(-1)
7 0
3 years ago
Freya wants to use her debit card to purchase a $135 tablet computer.
Ray Of Light [21]

Answer:

She must be sure there is at least $135 in her bank account for the purchase.

She must check to see if any automatic payments are scheduled for her account.

Step-by-step explanation:

just finished that assignment

8 0
3 years ago
Polly surveyed 850 teenagers to find out their favorite type of music. She found that 32% of the teenagers surveyed like hard ro
frosja888 [35]

Answer:

In explanation

Step-by-step explanation:

272 for part A because say you took a test out of 850 and you got a total of 272 of them right then you would of gotten a 32%

200 for 2 because if 75% of them liked pop music and 150 teenagers what the number of teenagers surveyed then that means 200 of them were surveyed because 150 out of 200 is 75%

I don't know the last one because if you had anything there only could get a 100%(im sorry for this one it's a little confusing.

Hope this helps have a great afternoon:)

7 0
2 years ago
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