K(x) = 6x + 100<br> k(-5) =

Write and simplify the integral that gives the arc length of the following curve on the given interval b. If necessary, use tech

LiRa [457]

Answer:

L = 4.103

Step-by-step explanation:

we have length of curve

$L = \int\limits^b_a {\sqrt{(f'(x))²+1} } \, dx$

where $f(x) = d/dx(3*in(x)) = 3/x$

substituting for f(x), we have $L = \int\limits^5_2 {\sqrt{(3/x)²+1} } \, dx$

(since the limit is 2≤ x ≤5)

solving, $L = \int\limits^5_2 {\sqrt{9/x²+1} } \, dx$

Simplifying this integral, we have

L = 4.10321

8 0

3 years ago

In 6 years, Mariya will be as old as Vikram is now. In 2 years, Vikram will be three times older than Mariya. Find their ages no

Damm [24]

Answer:

Mariya is 1 year old

Vikram is 7 years old

Step-by-step explanation:

Here, we want to know the present ages of Mariya and Vikram.

Let the present age of Mariya be M and the present age of Vikram be V

From the question, we are told that in 6 years time, Mariya will be as old as Vikram is now

Thus, mathematically;

M + 6 = V ••••••(i)

Furthermore , in 2 years time Vikram will be 3 time older than Mariya

Mathematically;

( V + 2) = 3( M + 2)

V + 2 = 3M + 6

V = 3M + 6-2

V = 3M + 4 •••••••(ii)

So let’s equate the V

3m + 4 = m + 6

3m -m = 6-4

2m = 2

m = 1

But V = m + 6

V = 1 + 6

V = 7

3 0

3 years ago

Which phrase describes the variable expression y-5

ruslelena [56]

To translate y - 5 into words:

a number y is decreased by 5

i hope this helps!!

7 0

3 years ago

A video posted on the internet is becoming very popular, and the total number of views is increasing by 20% every hour. If the v

Ierofanga [76]

Answer:198000 maybe

Sorry if it’s wrong

3 0

2 years ago

the odds in favor of frank mckinnis winning a hot dog eating contest are 2:9the odds in favor of frank mckinnis winning a hot do

Ivahew [28]

Answer:

Consider the complete question is,

'The odds in favor of frank McKinney winning a hot dog eating contest are 2:9,

Determine the probability that Frank will win the contest,

Determine the probability that Frank will not win the contest'

Solution :

We know that,

Odds in favor : the ratio of the number of ways that an outcome can occur compared to how many ways it cannot occur.

We have,

$\frac{\text{Number of ways of winning the contest}}{\text{Number of ways of not wining the contest}}=\frac{2}{9}$

So, total outcomes = 2 + 9 = 11,

$\text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}$

Thus, the probability that Frank will win the contest = $\frac{2}{11}$

And,

The probability that Frank will win the contest = $\frac{9}{11}$

5 0

3 years ago

Read 2 more answers

K(x) = 6x + 100 k(-5) =