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Elena L [17]
3 years ago
6

Find the area of the region bounded by the curves y = x2 − 1 and y = sin(x). Give your answer correct to 2 decimal places

Mathematics
1 answer:
Mice21 [21]3 years ago
7 0
The curves intersect at x = ±1.18. So, using symmetry, the area is

a = ∫[0,1.18] cos(x) - (x^2-1) dx
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) Sarah donated one-tenth of her salary to an orphanage, one-third of her salary is spent on food, one-fourth of salary on rent
AleksAgata [21]

Answer:

₹ 4000

Step-by-step explanation:

Sarah's salary =₹ 30000

  • one-tenth of her salary to an orphanage= 1/10*₹ 30000= ₹ 3000
  • one-third of her salary is spent on food= 1/3*₹ 30000= ₹ 10000
  • one-fourth of salary on rent and electricity =1/4*₹ 30000= ₹ 7500
  • one-twentieth of her salary on the telephone= 1/12*₹ 30000= ₹ 2500
  • donated some amount to the Prime Minister's relief fund = x
  • She was left with ₹ 3000.

x= ₹ 30000- (₹ 3000+₹ 10000+₹ 7500+₹ 2500+₹ 3000)= ₹ 4000

8 0
3 years ago
Chad washes windows after school to make some extra money. He charges $5.50 to wash each window. If the customer provides the su
Fynjy0 [20]
The second option. The 5.5w part shows that its $5.50 times each window. The -3.25 is because he deducted 3.25 from the total. And then you have the price that he got on the other side. 

Here's the work to find the windows in case you want it:
5.5w-3.25=35.25
5.5w=38.50
w=7
He washed 7 windows
3 0
3 years ago
Read 2 more answers
If f(x)=2+abs(x-3) for all x, what's the value of the derivative f'(x) at x=3?
ruslelena [56]
No derivation at x=3 .
only at x=3
8 0
3 years ago
a standard deck of cards missing the queen of hearts in the 2 of clubs what is the probability of pulling either an ace or a spa
Butoxors [25]
<h3>Answer:  8/25</h3>

=======================================================

Explanation:

In a standard deck, there are 52 cards.

If this deck is missing the queen of hearts and 2 of clubs, then we really have 52-2 = 50 cards in the deck.

There are 4 aces and 13 spades. Those values add to 4+13 = 17, but we need to subtract off 1 to account for the ace of spades counted twice. We have 17-1 = 16 cards that are either an ace, a spade, or both.

Or you can think of it like saying 13 spades + 1 ace of hearts + 1 ace of diamonds + 1 ace of clubs = 16 cards total.

-----------------

The event space has A = 16 cards in it, while the sample space has B = 50 cards.

The probability we're after is A/B = 16/50 = 8/25

5 0
2 years ago
The solid contains a cylinder and a hemisphere. Find the volume of the composite solid. 4.4m radius and 5m height
Masja [62]

Answer:

303.95 m^3

Step-by-step explanation:

Volume = πr2h

r= 4.4

h = 5

= 3.14 × 4.4^2 × 5

= 3.14 × 19.36 × 5

= 303.95

Hence the volume is 303.95 m^3

6 0
2 years ago
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