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2 years ago

What is the integral of a square root? Please explain.

Mathematics

2 answers:

dolphi86 [110]2 years ago

6 0

Its not guaranteed to be same form.it could be any polynomial that can not be easily formed into squares .try one out!

IrinaK [193]2 years ago

5 0

If y = xⁿ

∫y dx = xⁿ⁺¹ / (n + 1) + C Provided n ≠ -1.

y = √x

y = x^(0.5)

∫y dx = x^(0.5+1) / (0.5 + 1) = x^(1.5) / 1.5 = x^(1.5) / (3/2)

∫y dx = (2/3) x^(1.5) + C.

∫y dx = (2/3) x^(3/2) + C.

∫y dx = (2/3)√x³ + C

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Alexeev081 [22]

Answer:

10 in

Step-by-step explanation:

160/16 = 10

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2 years ago

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4. Two more than a certain number is 15 less 7 8 than the product of and the number.

Serggg [28]

Answer:

Equation: x + 2 = 7/8x - 15

Solution: x = -136

Explanation:

x + 2 = 7/8x - 15

2 + 15 = 7/8x - x

17 = 7/8x - 8/8x

17 = -1/8x

17 × -8 = x

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2 years ago

Find the slope of the line that passes through the points f(4) = 6 and f(-2) = 8.

leonid [27]

Answer:

slope = - $\frac{1}{3}$

Step-by-step explanation:

given f(4) = 6 and f(- 2) = 8 , then 2 points on the line are

(4, 6 ) and (- 2, 8 )

calculate slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (4, 6 ) and (x₂, y₂ ) = (- 2, 8 )

m = $\frac{8-6}{-2-4}$ = $\frac{2}{-6}$ = - $\frac{1}{3}$

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1 year ago

1. What is the difference between a median of a triangle and an altitude?

Step2247 [10]

Answer:

The difference between a median and altitude of a triangle is given below :

Altitude is the perpendicular line drawn from a vertex of a triangle to its opposite side .But a median of a triangle is a segment connecting a vertex to the midpoint of its opposite side.

Step-by-step explanation:

The difference between a median and altitude of a triangle is given below :

Altitude is the perpendicular line drawn from a vertex of a triangle to its opposite side .But a median of a triangle is a segment connecting a vertex to the midpoint of its opposite side.

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2 years ago

given that the center of a circle is at point (-3,5) and that the radius of the circle is 6 units, write the the equation of the

Anika [276]

The equation of a cricle is
$(x-h)^{2}+(y-k)^{2}=r^{2}$
h being the x coordinate of the given point and k being the y coordinate of the given point (r also being the radius).

Now we have to plug the points into the equation
$(x--3)^{2} +(y-5)^{2} = 6^{2}$
now just simplify the the equation
$(x+3)^{2} +(y-5)^{2} = 36$

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3 years ago