Simplify<br><br> (-28xy)divided by(-4)

A swimming pool is draining at a constant rate. The table shows the proportional relationship between the change in the water le

kaheart [24]

Answer:

first answer:-1.75

second:-15.75

third:-40.25

Step-by-step explanation:i am too lazy srry

6 0

2 years ago

Suppose that \nabla f(x,y,z) = 2xyze^{x^2}\mathbf{i} + ze^{x^2}\mathbf{j} + ye^{x^2}\mathbf{k}. if f(0,0,0) = 2, find f(1,1,1).

lesya [120]

The simplest path from (0, 0, 0) to (1, 1, 1) is a straight line, denoted $C$ , which we can parameterize by the vector-valued function,

$\mathbf r(t)=(1-t)(\mathbf i+\mathbf j+\mathbf k)$

for $0\le t\le1$ , which has differential

$\mathrm d\mathbf r=-(\mathbf i+\mathbf j+\mathbf k)\,\mathrm dt$

Then with $x(t)=y(t)=z(t)=1-t$ , we have

$\displaystyle\int_{\mathcal C}\nabla f(x,y,z)\cdot\mathrm d\mathbf r=\int_{t=0}^{t=1}\nabla f(x(t),y(t),z(t))\cdot\mathrm d\mathbf r$

$=\displaystyle\int_{t=0}^{t=1}\left(2(1-t)^3e^{(1-t)^2}\,\mathbf i+(1-t)e^{(1-t)^2}\,\mathbf j+(1-t)e^{(1-t)^2}\,\mathbf k\right)\cdot-(\mathbf i+\mathbf j+\mathbf k)\,\mathrm dt$

$\displaystyle=-2\int_{t=0}^{t=1}e^{(1-t)^2}(1-t)(t^2-2t+2)\,\mathrm dt$

Complete the square in the quadratic term of the integrand: $t^2-2t+2=(t-1)^2+1=(1-t)^2+1$ , then in the integral we substitute $u=1-t$ :

$\displaystyle=-2\int_{t=0}^{t=1}e^{(1-t)^2}(1-t)((1-t)^2+1)\,\mathrm dt$

$\displaystyle=-2\int_{u=0}^{u=1}e^{u^2}u(u^2+1)\,\mathrm du$

Make another substitution of $v=u^2$ :

$\displaystyle=-\int_{v=0}^{v=1}e^v(v+1)\,\mathrm dv$

Integrate by parts, taking

$r=v+1\implies\mathrm dr=\mathrm dv$

$\mathrm ds=e^v\,\mathrm dv\implies s=e^v$

$\displaystyle=-e^v(v+1)\bigg|_{v=0}^{v=1}+\int_{v=0}^{v=1}e^v\,\mathrm dv$

$\displaystyle=-(2e-1)+(e-1)=-e$

So, we have by the fundamental theorem of calculus that

$\displaystyle\int_C\nabla f(x,y,z)\cdot\mathrm d\mathbf r=f(1,1,1)-f(0,0,0)$

$\implies-e=f(1,1,1)-2$

$\implies f(1,1,1)=2-e$

3 0

3 years ago

Whats the answer? Ben rents a car for one day. The charge is $20 plus the $0.12 per mile. He wants to spend exactly $80. How man

vladimir1956 [14]

Answer: The cost for the mileage is . 12m

8 0

2 years ago

Read 2 more answers

Viviana had 4 and 1/5 pounds of sugar. She used 1/3 of the sugar she had. How much sugar did she use? Select all that apply

hram777 [196]

Answer:

11.339809 c

To convert a pound measurement to a cup measurement, multiply the sugar by the conversion ratio.

Since one pound of sugar is equal to 2.267962 cups, you can use this simple formula to convert:

cups = pounds × 2.267962

The sugar in cups is equal to the pounds multiplied by 2.267962.

For example, here's how to convert 5 pounds to cups using the formula above.

5 lb = (5 × 2.267962) = 11.339809 c

While experts usually suggest measuring dry ingredients by weight since it's more accurate, some recipes call for ingredients by volume and many of us don't have a scale when we need one. Because of the density of different types of sugar varies, it may not be obvious how to convert between a weight and volume measurements.

This table shows the approximate volume measurement for various weights of sugar, by type to help with the conversion.

Sugar Weight to Volume Conversion Table

Pound measurements and equivalent cups measurements for various types of sugar.

Should I Measure Sugar by Weight or Volume?

Many experts are adamant that dry ingredients like sugar should be measured by weight instead of volume, especially when used for baking.

Step-by-step explanation:

To convert a pound measurement to a cup measurement, multiply the sugar by the conversion ratio.

Since one pound of sugar is equal to 2.267962 cups, you can use this simple formula to convert:

cups = pounds × 2.267962

The sugar in cups is equal to the pounds multiplied by 2.267962.

For example, here's how to convert 5 pounds to cups using the formula above.

5 lb = (5 × 2.267962) = 11.339809 c

While experts usually suggest measuring dry ingredients by weight since it's more accurate, some recipes call for ingredients by volume and many of us don't have a scale when we need one. Because of the density of different types of sugar varies, it may not be obvious how to convert between a weight and volume measurements.

This table shows the approximate volume measurement for various weights of sugar, by type to help with the conversion.

Sugar Weight to Volume Conversion Table

Pound measurements and equivalent cups measurements for various types of sugar.

Should I Measure Sugar by Weight or Volume?

Many experts are adamant that dry ingredients like sugar should be measured by weight instead of volume, especially when used for baking.

<h2>Welcome for the answer. This answer is only for</h2><h2>good intentions please only report if necessary. Have a great rest of your day! </h2>

6 0

3 years ago

Sarah has a ribbon that is 10 feet long. She has to cut it into 13 equal pieces. How long is each after being cut?

Kazeer [188]

The answer is D 10/13 I hope this helps

3 0

2 years ago

Read 2 more answers

Simplify (-28xy)divided by(-4)