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2 years ago

6

Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces at the given point. (Enter

your answers as a comma-separated list of equations.) z

1 answer:

andrew11 [14]2 years ago

5 0

Answer:

Step-by-step explanation: I have no idea what he answer is when u get it could u tell me

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Terrence is folding paper cranes at a constant rate. Write an equation to describe the relationship between c, the number of cra

Vanyuwa [196]

Answer:

It is c = kt.

Step-by-step explanation:

This is direct variation . As the time increases the number of cranes increases.

The equation is c = kt where k is the constant of variation. In this case it will be a positive value because c is increasing with time.

If they make 20 cranes in 10 minutes then we can find the value of k by plugging in these values;

20 = k * 10

g = 20/10

k = 2.

So they make 2 cranes per minute.

7 0

2 years ago

Webassign find the area of the region bounded by the parabola y = x2, the tangent line to this parabola at the point (6, 36), an

Dvinal [7]

First find the tangent line

dy/dx=2x
at x=6, the slope is 2(6)=12
so
use point slope form
y-y1=m(x-x1)
point is (6,36)
so
y-36=12(x-6)
y-36=12x-72
y=12x-36

alright, so we know they intersect at x=6
and y=12x-36 is below y=x^2

so we do $\int\limits^6_0 {x^2} \, dx - \int\limits^6_0 {12x-36} \, dx = \int\limits^6_0 {x^2-(12x-36)} \, dx = \int\limits^6_0 {x^2-12x+36} \, dx =$
$[\frac{x^3}{3}-6x^2+36x]\limits^6_0=(\frac{6^3}{3}-6(6)^2+36(6))-(0)=\frac{216}{3}-216+216=$ $72+0=72$

the area under the curve bounded by the lines and the x axis is 72 square units

4 0

2 years ago

Tony’s class needs more than $500 for the school dance. So far, they have raised $200. They plan to have a car wash, charging $8

Kitty [74]

Answer:

No, Tony is not correct. Solving the inequality tells us that x is greater than or equal to 37.5. Since the class must wash a whole number of cars, they need to wash at least 38 cars.

this will help

8 0

1 year ago

Read 2 more answers

Help me please!!!!!!!!!!!!!!!!!!!!!!!! Will give 5 star and brainliest

Agata [3.3K]

Answer:

B. $3927.54

Step-by-step explanation:

just took the test

7 0

2 years ago

Use the geometric probability distribution to solve the following problem. On the leeward side of the island of Oahu, in a small

Greeley [361]

Answer:

(a) $\text{P(n)} = \text{p} \times \text{(1 - p)}^{n-1} ; \text{ n} = 1, 2, 3,....$

(b) P(1) = 0.740, P(2) = 0.192, and P(3) = 0.050.

(c) The probability that n ≥ 4 is 0.018.

(d) The expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry is 3.

Step-by-step explanation:

We are given that on the leeward side of the island of Oahu, in a small village, about 74% of the residents are of Hawaiian ancestry.

Let n = 1, 2, 3, … represent the number of people you must meet until you encounter the first person of Hawaiian ancestry in the village.

(a) We can observe that the above situation can be represented through the geometric distribution because the geometric distribution states that we will keep on going with the trials until we achieve our first success,

Here also, n represent the number of people you must meet until you encounter the first person of Hawaiian ancestry in the village.

So, the probability distribution of the geometric distribution is given by;

$\text{P(n)} = \text{p} \times \text{(1 - p)}^{n-1} ; \text{ n} = 1, 2, 3,....$

where, p = probability that the residents are of Hawaiian ancestry = 74%

(b) The probabilities that n = 1, n = 2, and n = 3 is given by;

$\text{P(n)} = \text{p} \times \text{(1 - p)}^{n-1}$

P(1) = $\text{0.74} \times \text{(1 - 0.74)}^{1-1}$ = 0.74

P(2) = $\text{0.74} \times \text{(1 - 0.74)}^{2-1}$ = 0.192

P(3) = $\text{0.74} \times \text{(1 - 0.74)}^{3-1}$ = 0.050

(c) The probability that n ≥ 4 is given by = P(n ≥ 4)

P(n ≥ 4) = 1 - P(n = 1) - P(n = 2) - P(n = 3)

= 1 - 0.74 - 0.192 - 0.050

= 0.018

(d) The expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry is given by = E(n)

We know that the mean of the geometric distribution is given by;

Mean = $\dfrac{p}{1-p}$ = $\dfrac{0.74}{1-0.74}$

= $\dfrac{0.74}{0.26}$ = 2.85 or 3 (approx).

4 0

2 years ago