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3 years ago

7

Find the gradient of the function at given point. f(x,y)=ln(x^2+y^2)

1 answer:

N76 [4]3 years ago

5 0

$\nabla f(x,y)=\left\langle\dfrac{\partial f}{\partial x},\dfrac{\partial f}{\partial y}\right\rangle=\left\langle\dfrac{2x}{x^2+y^2},\dfrac{2y}{x^2+y^2}\right\rangle$

You didn't provide the "given point", but I assume you're capable of plugging it in.

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I want to take a survey of students at my university to find out what proportion like the new bus service on campus. I believe t

tatiyna

Answer:

You will need to sample at least 3108 students.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

In this problem, we have that:

$\pi = 0.75$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

How many students will I need to survey if I want to estimate, with 99% confidence, the true proportion to within 2%?

You need a sample size of at least n.

n is found when M = 0.02. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 2.575\sqrt{\frac{0.75*0.25}{n}}$

$0.02\sqrt{n} = 1.115$

$\sqrt{n} = \frac{1.115}{0.02}$

$\sqrt{n} = 55.75$

$\sqrt{n}^{2} = (55.75)^{2}$

$n = 3108$

You will need to sample at least 3108 students.

4 0

3 years ago

Un vehículo se mueve en línea recta a una velocidad de 144 km/h durante 45 minutos. ¿Qué distancia recorre? Dar la respuesta en

yanalaym [24]

Answer:

I can't understand.

Step-by-step explanation:

Sorry

4 0

3 years ago

Find the distance between the points (7,-1) and (5,9)

Dmitry_Shevchenko [17]

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Answer: $\textsf{10.198 units}$

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Given: $\textsf{Points (7, -1) and (5, 9)}$

Find: $\textsf{Determine the distance between the two points}$

Solution: In order to find the distance we need to use the distance formula, plug in the values, and simplify the expression.

<u>Plug in the values</u>

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$d = \sqrt{(5 - 7)^2 + (9 - (-1))^2}$

<u>Simplify the expression</u>

$d = \sqrt{(-2)^2 + (9 + 1)^2}$

$d = \sqrt{4+ (10)^2}$

$d = \sqrt{4 + 100}$

$d = \sqrt{104}$

$d = 10.198$

After simplifying the expression we were able to determine that the distance between the two points is 10.198 units.

8 0

2 years ago

Please could someone help me understand this? thank you

Inessa05 [86]

Answer:

here ..

length=6cm

breadth=4cm

height=5cm

<em>we </em><em>know</em><em> </em><em>that,</em>

Total Surface Area of Cuboid, (S )= 2 (lb + bh + lh)

=2(6*4+4*5+6*5)

=2(24+20+30)

=2*74

=148

8 0

3 years ago

Which angle measures are correct ? Check all that apply .

Aneli [31]

Correct
m<2 = 125
m<8 = 55
m<14 = 100
m<16 = 80

8 0

3 years ago