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Nat2105 [25]
3 years ago
15

(WILL MARK BRAINIEST PLEASE ASSIST) Define the inverse secant function by restricting the domain of the secant function to the i

ntervals: 0,π2 and π2,π and sketch the inverse function’s graph.

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
5 0

Answer:

  see the attachment

Step-by-step explanation:

The graph attached shows the secant function in red. The restriction to the interval [0, π/2] is highlighted by green dots, and the corresponding inverse function is shown by a green curve.

The restriction to the interval [π/2, π] is highlighted by purple dots, and the corresponding inverse function is shown in purple.

The dashed orange line at y=x is the line over which a function and its inverse are mirror images of each other.

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If a/\2+1/a/\2=11, then a+1/a=?
Nadya [2.5K]

Answer:

\pm \sqrt{13}

Step-by-step explanation:

\bigg(a +  \frac{1}{a}  \bigg)^{2} =  {a}^{2}   +  \frac{1}{ {a}^{2} }  + 2 \times a \times  \frac{1}{a}  \\  \\ \bigg(a +  \frac{1}{a}  \bigg)^{2} = 11 + 2 \\  \\   \bigg(a +  \frac{1}{a}  \bigg)^{2} = 13 \\  \\  \bigg(a +  \frac{1}{a}  \bigg) =  \pm \sqrt{13}

5 0
3 years ago
A circle has a radius of 2 feet. Which is the circumference of the circle?
stich3 [128]

Answer:

4pi

Step-by-step explanation:

Circle circumference = 2*pi*r

2*pi*2

4*pi

4 0
3 years ago
Read 2 more answers
For the equation 8x + 2y = 16 What is the slope? What is the y-intercept (write as an ordered pair)? What is the x-intercept (wr
LiRa [457]

Answer:

y= -4x+16, (4,0), (0, 8)

Step-by-step explanation:

Let us rewrite the equation in slope intercept form, y=mx+b, where m is the slope:

2y= -8x+16

y= -4x+16

Therefore, -4 is the slope.

The x intercept can be found if we substitute 0 into the y:

0= -4x+16

4x=16

x=4

(4,0)

The y intercept can be found if we substitute 0 into the x:

2y= -8*0 +16

2y=0+16

2y=16

y=8

(0,8)

<em>I hope this helps! :)</em>

6 0
3 years ago
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Minimize the objective function P = 45x + 48y for the given constraints.
BabaBlast [244]

Answer:

Following are the solution to the given equation:

Step-by-step explanation:

The graph file and correct question are defined in the attachment please find it.

According to the linear programming principle, we predict, that towards the intersections of the constraint points in the viability area, and its optimal solution exists.  The sketch shows the points that are (0,16), (3,1), and (6,0).

by putting each point value into the objective function:

\to P(0,16) = 768\\\\\to P(3,1) = 183\\\\\to P(6,0) = 270

Thus, the objective of the function is reduced with a value of 183 at (3,1).

5 0
3 years ago
The length of a rectangular frame is 12 inches, and the width of the frame is 5
Lorico [155]

Answer:

17 inches

Step-by-step explanation:

6 0
3 years ago
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