$1=\displaystyle\int_{-4}^4\int_{-4}^4\left\|\frac{\partial\vec r_1(u,v)}{\partial u}\times\frac{\partial\vec r_1(u,v)}{\partial v}\right\|\,\mathrm du\,\mathrm dv$

By multiplying each component in $\vec r_1$ by 5, we have

$\dfrac{\partial\vec r_2(u,v)}{\partial u}=5\dfrac{\partial\vec r_1(u,v)}{\partial u}$

and the same goes for the derivative with respect to $v$ . Then the area of the surface given by $\vec r_2(u,v)$ is

$\displaystyle\int_{-4}^4\int_{-4}^425\left\|\frac{\partial\vec r_1(u,v)}{\partial u}\times\frac{\partial\vec r_1(u,v)}{\partial v}\right\|\,\mathrm du\,\mathrm dv=\boxed{25}$

8 0

3 years ago

A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing

Marizza181 [45]

Set up a proportion.

pounds / milligrams of medicine

195/279 = 130/x

195x = 279 times 130
195x =36,270
x = 36,270/195
x = 186

A patient weighing 130 pounds needs 186 milligrams of medicine.

6 0

3 years ago

Help with it all, don't understand this

Ganezh [65]

Number 3 it is a factor because if u expand you will see that x+6 will be the answer

5 0

3 years ago

A city which has a population of 250,000 has been experiencing a population decline of 5.5% every year. What will the population

nadezda [96]

Answer:

126250

Step-by-step explanation:

5.5% of 250000 is 13750 so you multiply 13750 by 9 which = 123750 then you subtract 123750 from 250000 so you get your answer

4 0

2 years ago

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