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3 years ago

Solve three and one half times one and two thirds .

Mathematics

2 answers:

omeli [17]3 years ago

8 0

Answer: c

Step-by-step explain

<h3>so times 2 and 3 then add 1 But keep 2 then do the same with the other one . </h3>

yarga [219]3 years ago

4 0

C, 5.8(repeating3) is equal to 5 5/6.

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Surface integrals using an explicit description. Evaluate the surface integral \iint_{S}^{}f(x,y,z)dS using an explicit represen

Jobisdone [24]

Parameterize $S$ by the vector function

$\vec r(x,y)=x\,\vec\imath+y\,\vec\jmath+f(x,y)\,\vec k$

so that the normal vector to $S$ is given by

$\dfrac{\partial\vec r}{\partial x}\times\dfrac{\partial\vec r}{\partial y}=\left(\vec\imath+\dfrac{\partial f}{\partial x}\,\vec k\right)\times\left(\vec\jmath+\dfrac{\partial f}{\partial y}\,\vec k\right)=-\dfrac{\partial f}{\partial x}\vec\imath-\dfrac{\partial f}{\partial y}\vec\jmath+\vec k$

with magnitude

$\left\|\dfrac{\partial\vec r}{\partial x}\times\dfrac{\partial\vec r}{\partial y}\right\|=\sqrt{\left(\dfrac{\partial f}{\partial x}\right)^2+\left(\dfrac{\partial f}{\partial y}\right)^2+1}$

In this case, the normal vector is

$\dfrac{\partial\vec r}{\partial x}\times\dfrac{\partial\vec r}{\partial y}=-\dfrac{\partial(8-x-2y)}{\partial x}\,\vec\imath-\dfrac{\partial(8-x-2y)}{\partial y}\,\vec\jmath+\vec k=\vec\imath+2\,\vec\jmath+\vec k$

with magnitude $\sqrt{1^2+2^2+1^2}=\sqrt6$ . The integral of $f(x,y,z)=e^z$ over $S$ is then

$\displaystyle\iint_Se^z\,\mathrm d\Sigma=\sqrt6\iint_Te^{8-x-2y}\,\mathrm dy\,\mathrm dx$

where $T$ is the region in the $x,y$ plane over which $S$ is defined. In this case, it's the triangle in the plane $z=0$ which we can capture with $0\le x\le8$ and $0\le y\le\frac{8-x}2$ , so that we have

$\displaystyle\sqrt6\iint_Te^{8-x-2y}\,\mathrm dx\,\mathrm dy=\sqrt6\int_0^8\int_0^{(8-x)/2}e^{8-x-2y}\,\mathrm dy\,\mathrm dx=\boxed{\sqrt{\frac32}(e^8-9)}$

5 0

3 years ago

What is the best estimate for the quotient 5,397 divided by 62

shusha [124]

The best, closest quotient would be 87.

4 0

3 years ago

Read 2 more answers

What is 6-7x=4x+17 what is the answer

erica [24]

Answer:

x=-1 hi hope this helps

6 0

4 years ago

Describe a mathematical idea or philosophy that came out of the Vitruvian Man.

iragen [17]

Answer:

provides a procedure to hand-draw a square and a circle of equal area

Step-by-step explanation:

According to Vitruvian Man, an arm span and height have a nearly perfect correspondence in the human body. As a result, the body is placed perfectly inside a square. Buildings and other works of man should also occur depending on these proportions. All of this ties in with the problem of finding a procedure to hand-draw a square and a circle of equal area.

6 0

3 years ago

Charity invests $1891 into a savings account. The account will accrue 9% interest to be compounded semiannually. Provided she ma

Norma-Jean [14]

Answer:

B) 12,010.9

Step-by-step explanation:

Set up an equation:

$A=1891(1+\frac{0.09}{2})^{2*21}$