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JulsSmile [24]
3 years ago
5

Integrals with variables.

Mathematics
1 answer:
sertanlavr [38]3 years ago
6 0

Answer:

a = 5, b = 14

Step-by-step explanation:

∫₁¹⁴ f(x) dx is the area under f(x) between x = 1 and x = 14.

∫₁⁵ f(x) dx is the area under f(x) between x = 1 and x = 5.

Therefore, the difference is the area under f(x) between x = 5 and x = 14.

∫₁¹⁴ f(x) dx − ∫₁⁵ f(x) dx = ∫₅¹⁴ f(x) dx

You might be interested in
If PQ is tangent to circle R at point Q and PS is
Murljashka [212]

Answer:

Perimeter of the quadrilateral PQRS is 25 units

Step-by-step explanation:

From the figure attached,

PQ is a tangent to the given circle so m∠PQR = 90°

Now we apply Pythagoras theorem in the ΔPQR,

PR² = PQ² + QR²

(PT + TR)²= PQ² + 5²

(4 + 5)² = PQ² + 25

81 = PQ² + 25

PQ = √(81 - 25)

     = √56

     ≈ 7.5 units

PQ ≅ PS ≅ 7.5 units

[Since measures of tangents drawn from a point to a circle are always equal]

Perimeter of PQRS = PQ + QR + RS + PS

                                = 7.5 + 5 + 5 + 7.5

                                = 25 units

Therefore, perimeter of the quadrilateral PQRS is 25 units.

3 0
4 years ago
Sally works 40 hours and makes $20 an hour, but her kids are in child care each day and the day care center charges her $50 per
rjkz [21]

She actually makes $13.75 per hour.

Step-by-step explanation:

Number of hours = 40

Amount per hour = $20

Amount of 40 hours = 40*20 = $800

Per day charges of daycare = $50

Charges for week = 50*5 = $250

Amount left = Amount of 40 hours - Per week charges of daycare

Amount\ left= 800-250 =\$550

Actual amount per hour = \frac{Amount\ left}{Number\ of\ hours}

Actual amount per hour = \frac{550}{40} =\$13.75

She actually makes $13.75 per hour.

Keywords: division, multiplication

Learn more about division at:

  • brainly.com/question/10940255
  • brainly.com/question/10941043

#LearnwithBrainly

4 0
3 years ago
A rectangle has a perimeter of 30 inches.one side measures 5 inches.what of the measures of the three sides ?
cluponka [151]
I believe since the definition of perimeter is adding the lengths of all three sides of the angles the, width of the rectangle would be 5, and the length of the rectangle would be 10.

  10
+10 
-------
 20
+5
------
  25
+5
------
30 

And that is you answer, yay!

4 0
4 years ago
11. Ron bought x dollars worth of stock and paid a y percent commis-
Rom4ik [11]
Correct or false question? if so, it’s false :)
4 0
3 years ago
Y=5x translate down 3 units​
LekaFEV [45]

Answer:

y = 5x - 3.

Step-by-step explanation:

The value of y will go down by 3 units so it is

y = 5x - 3.

8 0
4 years ago
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