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zysi [14]
2 years ago
10

the graph of a quadratic function f passes through the origin and the maximum value of f is 5 when x=4 find f

Mathematics
1 answer:
Hitman42 [59]2 years ago
7 0

Answer:(-5/16)x^2 +(5/2)x

Step-by-step explanation:

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Differential cos^2x dy/dx =e^y-tanx​
gulaghasi [49]

Answer:

y=t−1+ce

−t

where t=tanx.

Given, cos

2

x

dx

dy

+y=tanx

⇒

dx

dy

+ysec

2

x=tanxsec

2

x ....(1)

Here P=sec

2

x⇒∫PdP=∫sec

2

xdx=tanx

∴I.F.=e

tanx

Multiplying (1) by I.F. we get

e

tanx

dx

dy

+e

tanx

ysec

2

x=e

tanx

tanxsec

2

x

Integrating both sides, we get

ye

tanx

=∫e

tanx

.tanxsec

2

xdx

Put tanx=t⇒sec

2

xdx=dt

∴ye

t

=∫te

t

dt=e

t

(t−1)+c

⇒y=t−1+ce

−t

where t=tanx

8 0
2 years ago
What forms do the equations of motion for an idealized string take if either (a) the linear density varies with position, or (b)
stepan [7]

Answer:

a) the varying densities are to be considered with respect to position

Step-by-step explanation:

the complete answer is found in the attachment

7 0
3 years ago
Answer for brainliest what is the volume
lisov135 [29]

Answer:

The answer is 36

Step-by-step explanation:

To find the volume you:

multiply \: (6 \times 3 \times 2) = 36{cm}^{3}

6 0
2 years ago
Read 2 more answers
Will give Brainliest! if right!
Ilya [14]
<span>46, 37, 16, 24, 47, 23, 19, 31, 25

put in order</span>
16, 19, 23, 24, 25, 31,37, 46, 47

mean = 25

LOWER QUARTILE = (16+ 19+ 23+ 24) / 4 = 20.5

answer 
Lower IQR = 20.5
8 0
3 years ago
Read 2 more answers
Find the area. The figure is not drawn to scale
poizon [28]

Answer:

96 square inches.

Step-by-step explanation:

From given picture we see that

BC=8 in

AD=10 in

Given that

AD=AB

Then AB=10 in

Apply Pythagorean theorem in triangle ABC to find AC

(hypotenuse)^2=(base)^2+(perpendicular)^2

(AB)^2=(BC)^2+(AC)^2

(10)^2=(8)^2+(AC)^2

100=64+(AC)^2

100-64=(AC)^2

36=(AC)^2

take square root

6=AC

Then area of triangle ABC =\frac{1}{2}\left(base\right)\left(altitude\right)

=\frac{1}{2}\left(8\right)\left(6\right)=24

There are total 4 congruent triangles.

Then total area of the given figure = 4(24)=96 square inches.

7 0
2 years ago
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