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zhannawk [14.2K]
4 years ago
9

Find the intervals in which the function f given by

Mathematics
1 answer:
Ratling [72]4 years ago
3 0
The function f(x) = sinx + cosx is strictly increasing on the interval [0, π/4) ∪ (5π/4, 2π] and is strictly decreasing on the interval (π/4, 5π/4).
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Helppppppppppppppppppppppppppppppppppppppppppp
Blababa [14]

Answer:

Since the area of your base is 15, we multiply 15 by 10 since 10 is the height and 15 is the area of the base to get 150, now we divide by 3 since we are multiplying 150 x 1/3 = 50.

Formula of triangular pyramid:

1/3 x BH

In this case 15 is your base and 10 is your height

15 x 10 x 1/3(basically just dividing by 3) = 50

6 0
3 years ago
Read 2 more answers
The equation of a function<br>y = 2/3x+1/3 find the value of y<br>when x = -3<br>when x = 1 1/2​
kirill [66]

Answer:

y = \frac{-5}{3}\\\\y = \frac {4}{3}

Step-by-step explanation:

y = \frac{2}{3} x + \frac{1}{3}\\\\when \ x = -3 \\\\y = \frac{2}{3}(-3) + \frac{1}{3} = -2 + \frac{1}{3} = \frac{-6 + 1}{3}= \frac{-5}{3} \\\\When \ x = 1 \frac{1}{2} = \frac{3}{2}\\\\y = \frac{2}{3} \times \frac{3}{2} + \frac{1}{3} = 1+ \frac{1}{3} = \frac{3 + 1}{3}= \frac{4}{3} \\\\

5 0
3 years ago
Use a special right triangle to find the value of y. Write as a decimal rounded to the nearest 10th
VladimirAG [237]

Given:

The figure of a right angle triangle.

To find:

The value of y.

Solution:

in a right angle triangle,

\sin \theta=\dfrac{Opposite}{Hypotenuse}

In the given right triangle,

\sin 60^\circ=\dfrac{6}{y}

\dfrac{\sqrt{3}}{2}=\dfrac{6}{y}

On cross multiplication, we get

\sqrt{3}y=12

y=\dfrac{12}{\sqrt{3}}

y=\dfrac{12\sqrt{3}}{3}

y=4\sqrt{3}

Therefore, the value of y is 4\sqrt{3} units.

7 0
3 years ago
What is the slope for (−10,1) And (0,−4)<br> A -2<br> B - 1/2<br> C 2<br> D 1/2
alukav5142 [94]

Answer:B

Step-by-step explanation: dy/dx = (1--4)/(-10-0)

= 5/-10

=-1/2

5 0
3 years ago
A 21,000 gallon swimming pool contains 9000 gallons of water when a hose is placed in the pool and begins adding water at a rate
Pavel [41]
It will take 8 hours to fill the swimming pool. There is already 9,000 gallons filled, that leaves you with 12,000. 12,000 divided by the rate per hour 1,500. That gives you 8.
7 0
3 years ago
Read 2 more answers
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