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lilavasa [31]
3 years ago
12

Find the length of the curve y=3x^3/2 from x=0 to x=5/9

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
4 0
y=3x^{3/2}\implies y'=\dfrac92x^{1/2}

The length of the curve is

L=\displaystyle\int_0^{5/9}\sqrt{1+\left(\dfrac92x^{1/2}\right)^2}\,\mathrm dx=\int_0^{5/9}\sqrt{1+\dfrac{81}4x}\,\mathrm dx=\dfrac{335}{243}
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Ian invested$1500 dollars in the bank. After 2 years he withdrew all his money. He received $1590. What interest rate was he get
dybincka [34]

Answer:

either 45$ a year or divide it to days/months

Step-by-step explanation:

6 0
3 years ago
What are the slope and y-intercept of the graph of this equation?
schepotkina [342]

Answer:

slope = y = 1/2

y-intercept = b = -3

Step-by-step explanation:

slope intercept equation:

y = mx + b----->(equation 1)

m is slope

b is y-intercept

y = 1/2x - 3----->(equation 2)

Compare (equation 1) and (equation 1)

slope = y = 1/2

y-intercept = b = -3

3 0
2 years ago
On hot, sunny, summer days, Jane rents inner tubes by the river that runs through her town. Based on her past experience, she ha
Sveta_85 [38]

Answer:

a. P(X=50)= 0.36

b. P(X≤75) =  0.9

c. P(X>50)=  0.48

d. P(X<100) = 0.9

Step-by-step explanation:

The given data is

x                      25        50       75        100          Total

P(x)                0.16       0.36    0.38    0.10          1.00

Where X is the variable and P(X) = probabililty of that variable.

From the above

a. P(X=50)= 0.36

We add the probabilities of the variable below and equal to 75

b. P(X≤75) = 0.16+ 0.36+ 0.38= 0.9

We find the probability of the variable greater than 50 and add it.

c. P(X>50)= 0.38+0.10=  0.48

It can be calculated in two ways. One is to subtract the probability of 100 from total probability of 1. And the other is to add the probabilities of all the variables less than 100 . Both would give the same answer.

d. P(X<100)= 1- P(X=100)= 1-0.1= 0.9

8 0
3 years ago
Determine the product, h (x), of the linear and quadratic factors.
Wewaii [24]

h(x) =8x^3-19x^2+14x-3

Step-by-step explanation:

Given functions are:

f(x) = 8x-3\\g(x) = (x-1)^2

h(x)  is the product of g(x) and f(x)

h(x) = f(x) * g(x)\\= (8x-3)(x-1)^2\\= (8x-3)(x^2-2x+1)\\= 8x(x^2-2x+1)-3(x^2-2x+1)\\= 8x^3-16x^2+8x-3x^2+6x-3

Combining like terms

=8x^3-16x^2-3x^2+8x+6x-3\\=8x^3-19x^2+14x-3

Hence,

h(x) =8x^3-19x^2+14x-3

Keywords: Functions, product

Learn more about functions at:

  • brainly.com/question/8054589
  • brainly.com/question/7932185

#LearnwithBrainly

8 0
3 years ago
One thousandth of the base unit in length :
miskamm [114]

Step-by-step explanation:

1 \div 100th

5 0
3 years ago
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