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LUCKY_DIMON [66]

2 years ago

8

∇f = λ∇g gives us the equations 4xy = 4λx, 2x2 = 8λy. The first equation implies that x = Incorrect: Your answer is incorrect. o

r λ = Correct: Your answer is correct. .

1 answer:

Vlad1618 [11]2 years ago

6 0

Answer:

The answer is correct

Step-by-step explanation:

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Jack purchased a car for $22,000. The bank gave him an annual interest rate of 4.3%. He will make monthly payments for 6 years (

LenaWriter [7]

Answer:

347.60

Step-by-step explanation:

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2 years ago

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One winter day, the outside temperature, y, was never below −1°. The inside of a car was always warmer than the temperature outs

mr Goodwill [35]

Answer:

It's C

Step-by-step explanation:

Your graph should be this one, with both lines solid because, the X line, or red, has to be at least -1 or higher, and the Y line, or the blue, has to be +4 or higher

4 0

2 years ago

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Alicia, Brandon, and Charlene wanted to solve the proportion x/4.24 = 6.82/2.2 which of the students used a correct method?

DIA [1.3K]

X/4.24= 6.82/2.2
x= 4.24*6.82/2.2
x= 1.36

Explanation:
If x/4.24 = 6.82/2.2
then 4.24*6.82= 2.2x

3 0

2 years ago

Find the area of the part of the sphere x2 + y2 + z2 = 100z that lies inside the paraboloid z = x2 + y2.

vekshin1

$x^2+y^2+z^2=100z\iff x^2+y^2+(z-50)^2=50^2$

The surface of interest can be parameterized by

$\mathbf r(u,v)=\begin{cases}x(u,v)=50\cos u\sin v\\y(u,v)=50\sin u\sin v\\z(u,v)=50(\cos v+1)\end{cases}$

with $0\le u\le2\pi$ and $0\le v\le\arccos\dfrac{49}{50}$ .

The area of the surface $S$ is given by the surface integral

$\displaystyle\iint_S\mathrm dA=\iint_T\left\|\mathbf r_u\times\mathbf r_v\right\|\,\mathrm du\,\mathrm dv$

We have

$\|\mathbf r_u\times\mathbf r_v\|=50^2\sin v$

so the area is given by the double integral

$\displaystyle50^2\int_{u=0}^{u=2\pi}\int_{v=0}^{v=\arccos(49/50)}\sin v\,\mathrm dv\,\mathrm du=100\pi$

6 0

2 years ago

A veterinarian's office recorded one particular week that they had 50 patients. The following table shows the recorded number of

Gre4nikov [31]

Answer:

1. <u>The correct answer is 46%</u>

2. <u>The correct answer is .07</u>

<u>3. The correct answer is (34%,58%)</u>

4. <u>The correct answer is (32%,60%)</u>

Step-by-step explanation:

1. Let's calculate the percentage or proportion of patients that were dogs:

p = (7 + 4 + 5 + 5 + 2)/50 = 23/50 = 0.46

<u>The correct answer is 46%</u>

2. Let's estimate the standard error, using the given formula, this way:

S.e = √ (0.46 * 0.54)/50 = √0.049 = 0.07

<u>The correct answer is .07</u>

<u>3. </u>Let's calculate the confidence limits of the 90% confidence interval, this way:

Confidence limits = proportion +/- 1.645 * standard error

Confidence limits = 0.46 +/- 1.645 * 0.07

Confidence limits = 0.46 +/- 0.12

Confidence limits = 0.34, 0.58

<u>The correct answer is (34%,58%)</u>

4. <u> </u>Let's calculate the confidence limits of the 95% confidence interval, this way:

Confidence limits = proportion +/- 1.96 * standard error

Confidence limits = 0.46 +/- 1.96 * 0.07

Confidence limits = 0.46 +/- 0.14

Confidence limits = 0.32, 0.60

<u>The correct answer is (32%,60%)</u>

3 0

2 years ago