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nydimaria [60]
3 years ago
9

Integrating secx(sex+tanx) and the steps please!

Mathematics
1 answer:
Gnom [1K]3 years ago
8 0
Simply distrbution and direct application of memorized integrals


I will refer the integration sign as int

J = Int secx(secx + tanx ) dx = int sec^2x + secxtanx dx

Remember int sec^2x dx= tanx +c
Int secxtanx = secx +c

If you wanna their proof just request

J = tanx + secx +c
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tom is 57 years old. Tom has a son ,james. In 3 years tom will be twice as old as james. How old is james
Serhud [2]

Answer: 27

Step-by-step explanation:

Tom is 57 now. In 3 years he will be 60, but also twice as old as his son. 1/2 of 60 is 30. 30 minus the 3 years that hasn’t happened yet equals 27.

3 0
3 years ago
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What is the value of x????
Arte-miy333 [17]

Answer:

B

Step-by-step explanation:

{18}^{2}  =  {x}^{2}  +  {x}^{2} \\  \frac{18 \times 18}{2}  =  {x}^{2}  \\ x =  \sqrt{9 \times 18}  \\ x =  \sqrt{9 \times 9 \times 2}  \\ x = 9 \sqrt{2}

4 0
2 years ago
You launch a water balloon. The function h=-0.08t^2+1.6t+2 models the height h (in feet) of the water balloon after t seconds. W
stellarik [79]

Answer:

The initial height of the balloon is 2 feet.

Step-by-step explanation:

The height of the balloon in feet after t seconds is given by the following equation:

h(t) = -0.08t^{2} + 1.6t + 2

What is the initial height of the balloon?

This is h when t = 0, that is, h(0). So

h(0) = -0.08*0^{2} + 1.6*0 + 2 = 2

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4 0
2 years ago
A cylindrical cooler has a diameter of 30 inches and a height of 24 inches . If a cup has a diameter of 3 inches and a height of
Aleks04 [339]

Answer:

The answer to your question is 600 cups

Step-by-step explanation:

Data

Cylinder                            Cup

diameter = 30 in               diameter = 3 in

height = 24 in                    height = 4 in

Process

1.- Calculate the volume of the cylinder

Volume = πr²h

-Substitution

Volume = (3.14)(30/2)²(24)

-Simplification

Volume = (3.14)(15)²(24)

Volume = (3.14)(225)(24)

-Result

Volume = 16959 in³

2.- Calculate the volume of the cup

Volume = (3.14)(3/2)²(4)

-Simplification

Volume = (3.14)(1.5)²(4)

Volume = (3.14)(2.25)(4)

-Result

Volume = 28.26 in³

3.- Divide the volume of the cylinder by the volume of the cup

Number of full cups =  16959 in³ /  28.26 in³

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3 years ago
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If f(x) = 3x - 5, than f(2) =
Mamont248 [21]
If we substitute 2 into x it'll be:

3x - 5 \\ 3(2) - 5 \\ 6 - 5 \\ 1

5 0
2 years ago
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