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3 years ago

Does a rectangular prism with more surface area than the other also have more volume

Mathematics

2 answers:

xxTIMURxx [149]3 years ago

5 0

Yes, because there is more surface area therefore it can hold more volume

Jobisdone [24]3 years ago

3 0

Yes; If it has more surface area, it is bigger, which means that there is more volume total.

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Consider the functions below. f(x, y, z) = x i − z j + y k r(t) = 4t i + 6t j − t2 k (a) evaluate the line integral c f · dr, wh

fredd [130]

With

$\vec r(t)=4t\,\vec\imath+6t\,\vec\jmath-t^2\,\vec k$

we have

$\mathrm d\vec r=(4\,\vec\imath+6\,\vec\jmath-2t\,\vec k)\,\mathrm dt$

The vector field evaluated over this parameterization is

$\vec f(x,y,z)=\vec f(x(t),y(t),z(t))=4t\,\vec\imath+t^2\,\vec\jmath+6t\,\vec k$

so the line integral is

$\displaystyle\int_{-1}^1(4t\,\vec\imath+t^2\,\vec\jmath+6t\,\vec k)\cdot(4\,\vec\imath+6\,\vec\jmath-2t\,\vec k)\,\mathrm dt$

$=\displaystyle\int_{-1}^1(16t+6t^2-12t^2)\,\mathrm dt=-4$

6 0

3 years ago

What’s the correct answer for this?

svetlana [45]

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As the radius of the circle is 5

You need to square this value for it to fit the equation

5^2 = 25

Thus, your answer would be option B

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4 0

4 years ago

2x^2+3x+5=0 what are all the complex solutions? please i need help!!!

vesna_86 [32]

You'll want to use the quadratic formula:

-b (+/-) sqrt(b^2 - 4ac), all divided by 2a.

Under the square root you'll get:

-11

remember that the square root of -1 is i.

sqrt(-11) can be factored to sqrt(11*-1) and then sqrt(-1) * sqrt(11)

which becomes i*sqrt(11)

so your complex solution is:

-3 (+/-) (i*sqrt(11)), all over 4

4 0

3 years ago

Read 2 more answers

15. Jessica is trying to hire a babysitter that charges less than $10 per hour (not including any extra fees).

tresset_1 [31]

Answer:

A. and B.

Step-by-step explanation:

A. $34 - $10= $24 hourly fee divided by 3= $8 per hour.

B. $66 - $12= $54 hourly fee divided by 6= $9 per hour.

C.$92-$8= $84 hourly fee divided by 7= $12 per hour.

D. $52.5-$0= $52.5 hourly fee divided by 3.5= $15 per hour.