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4 years ago

I have no idea how to do this, can someone please help?

Mathematics

1 answer:

Sveta_85 [38]4 years ago

4 0

Assume your line starts at zero, your first point is (-3,5) meaning your have a slope of 5/-3
[ f(x) = 5/-3x + b]

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Here we will study the function f (x) = e ^ x sin (x), where x ∈ [0, 2π]. a) Determine where the function is decreasing and incr

Semmy [17]

fff

$f(x) = e^x sin (x)$

To find increasing and decreasing intervals we take derivative

$f'(x) = e^xsin(x)+e^x(cosx)= e^x(sinx+cosx)$

Now we set the derivative =0 and solve for x

$e^x(sinx+cosx)=0$

sinx + cosx =0

divide whole equation by cos x

$\frac{sinx}{cosx} + \frac{cosx}{cosx} =0$

tanx +1 =0

tanx = 1

$x=\frac{3\pi }{4}$ and $x=\frac{7\pi}{4}$

Now we pick a number between 0 to $\frac{3\pi }{4}$

Lets pick $\frac{\pi }{2}$

Plug it into the derivative

$f'(x) =e^{\frac{\pi }{2}}(sin(\frac{\pi}{2})+cos(\frac{\pi }{2}))$

= 4.810 is positive

So the graph of f(x) is increasing on the interval [0, $x=\frac{3\pi }{4}$ )

Now we pick a number between $\frac{7\pi}{4}$ to 2pi

Lets pick $\frac{11\pi}{6}$

Plug it into the derivative

$f'(x) =e^{\frac{11\pi}{6}}(sin(\frac{11\pi}{6})+cos(\frac{11\pi }{6}))$

= 116 is positive

So the graph of f(x) is increasing on the interval $(\frac{7\pi }{4}, 2\pi)$

Increasing interval is $(0,\frac{3\pi }{4}) U (\frac{7\pi }{4}, 2\pi)$

Decreasing interval is $(\frac{3\pi}{4}, \frac{7\pi}{4})$

(b)

The graph of f(x) increases and reaches a local maximum at $x=\frac{3\pi}{4}$

The graph of f(x) decreases and reaches a local minimum at $x=\frac{7\pi}{4}$

(c)

f(0) = 0

$f(2\pi)=0$

$f(\frac{3\pi }{4})=7.46$

$f(\frac{7\pi}{4})=-172.64$

Here global maximum at $x=\frac{3\pi}{4}$

Here global minimum at $x=\frac{7\pi}{4}$

3 0

4 years ago

Read 2 more answers

Tools -

gregori [183]

Answer:

Option A . 1708 bags

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Find the volume of the silo

The volume of the silo is equal to the volume of a cylinder plus the volume of a cone

we have

---> the radius is half the diameter

substitute

Remember that

The silo is approximately 85% full

The volume of grain in the silo is

step 2

Find the number of bags of grain

Divide the volume of grain in the silo by the volume of one sack

7 0

3 years ago

SUMMARY: how can you use mapping rules to find rotations of objects at 90, 180, and 270 degrees?

Levart [38]

A rotation is an isometric transformation that turns every point of a figure through a specified angle and direction about a fixed point.

To describe a rotation, you need three things:

Direction (clockwise CW or counterclockwise CCW)

Angle in degrees

Center point of rotation (turn about what point?)

The most common rotations are 180° or 90° turns, and occasionally, 270° turns, about the origin, and affect each point of a figure as follows:

Mark me as brainliest! :D Hope it helps

6 0

3 years ago

Umm can someone help me please

mrs_skeptik [129]

1)50
2)25
3)10
4)20
5)50
6)100

4 0

3 years ago

Read 2 more answers

If a = 7 and b = 11, what is the measure of ∠B? (round to the nearest tenth of a degree)

Naddik [55]

Answer:

57.5 degrees

Step-by-step explanation:

Assuming this is a triangle

a is adjacent is ∠B

b is opposite of ∠B

Use the inverse tangent equation: $tan^{-1} (11/7)$

This equals to 57.52880771

3 0

3 years ago