3 years ago

Please look at the image which includes the question ! I need help on this. I am pretty confused right now.

Mathematics

1 answer:

vlabodo [156]3 years ago

5 0

I'm guessing it's (8,9)

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63,756 multiplied 60 divided by 70 multiplied 52,280

gogolik [260]

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If 4x plus 7 equals 18, what is the value of 12x plus 21

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3 years ago

Evaluate the line integral ∫cf⋅dr, where f(x,y,z)=5xi−4yj+3zk and c is given by the vector function r(t)=⟨sint,cost,t⟩, 0≤t≤3π/2

Katena32 [7]

WIth the parameterization

$\mathbf r(t)=\langle\sin t,\cos t,t\rangle$

we end up with

$\mathbf f(\mathbf r(t))=\mathbf f(\sin t,\cos t,t)=5\sin t\,\mathbf i-4\cos t\,\mathbf j+3t\,\mathbf k$

We also have

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So in the line integral, we get

$\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=\int_{t=0}^{t=3\pi/2}\mathbf f(\mathbf r(t))\cdot\mathbf r'(t)\,\mathrm dt$

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3 years ago

Can some one help explain this

Ber [7]

Answer:

$4( {x}^{2} - 1) - ( {x}^{2} - 8x - 5)$

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Quick computing company produces calculators they have found that the cost c(x),of making calculators is a quadratic function in

kirill115 [55]

A quadratic function is given by y = ax^2 + bx + c
c(2) = a(2)^2 + 2b + c = 45
4a + 2b + c = 45 . . . (1)
c(4) = a(4)^2 + 4b + c = 143
16a + 4b + c = 143 . . . (2)
c(10) = a(10)^2 + 10b + c = 869
100a + 10b + c = 869 . . . (3)

Solving (1), (2) and (3) gives a = 9, b = -5, c = 19

Therefore, c(x) = 9x^2 - 5x + 19
c(7) = 9(7)^2 - 5(7) + 19 = 9(49) - 35 + 19 = 441 - 16 = 425

Therefore, it costs $425 to produce 7 calculators.

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3 years ago