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3 years ago

Question 3 I mark as brainliest

Mathematics

1 answer:

Gre4nikov [31]3 years ago

6 0

The correct answer is 3.55 miles

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E^3x.cos4x.sin2x hii please solv this you have to differentiate

finlep [7]

Answer:

$y = e^{3x}.cos4x.sin2x$

$=> y' =- 3e^{3x}.4sin4x.2cos2x=-24.e^{3x}.sin4x.cos2x$

$dy=y'.dx => dy = -24e^{3x}.sin4x.cos2x.dx$

Step-by-step explanation:

6 0

3 years ago

A piece of wire 25 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria

fomenos

Answer:

Wire used for square is 7.55 m.

Step-by-step explanation:

Let the length of wire cut for square be 'x'.

Given:

Total length of the wire = 25 m

Length of wire for square = 'x'

Length of wire for equilateral triangle = $25-x$

Now, area of square (a) = $x^2$

Area of equilateral triangle (e) is given as:

$e=\frac{\sqrt3}{4}(25-x)^2$

Now, total area (A) is given as:

$A=a+e\\\\A=x^2+\frac{\sqrt3}{4}(25-x)^2$

Now, in order to maximize 'A', the derivative of area with respect to 'x' must be 0.

∴ $\frac{dA}{dx}=0$

$\frac{d}{dx}(x^2+\frac{\sqrt3}{4}(25-x)^2)=0\\\\2x-\frac{\sqrt3}{2}(25-x)=0\\\\2x+\frac{x\sqrt3}{2}=\frac{25\sqrt3}{2}\\\\x(2+\frac{\sqrt3}{2})=\frac{25\sqrt3}{2}\\\\x(4+\sqrt3)=25\sqrt3\\\\x=\frac{25\sqrt3}{4+\sqrt3}=7.55\ m$

Therefore, the length of the wire that is cut for square should be 7.55 m for maximum area.

3 0

3 years ago

What is the equation of the line passing through the points (-25, 50) and (25, 50) in slope-intercept form?

babunello [35]

Answer:

Y = 50x

Step-by-step explanation:

Remember that slope intercept form is Y = mx + b indicating that m is the slope

To solve this equation use the formula

Y2 - y1 , x2 - x1:

50 - (- 50) = 100

25 - (-25) = 50

100/50 = 50/1

So the answer is y = 50x

5 0

3 years ago

Simplify 4.3^2-7?<br> A)8<br> B)17<br> C)29<br> D)43

kakasveta [241]

Answer:

Step-by-step explanation:

Simplify 4.3^2-7?

= 4 × 3^2 - 7

= 4 × 9 - 7

= 36 - 7

= 29

5 0

3 years ago

Kyle has a box that is 5 inches wide, 7 inches long, and a volume of 210 cubic inches. What is the height of the box?

Molodets [167]

Answer:

it's 6

Step-by-step explanation:

my bad if u get it wrong or anything

7 0

3 years ago

Question 3 I mark as brainliest ​

Question 3 I mark as brainliest