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dusya [7]
3 years ago
13

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

Mathematics
2 answers:
dolphi86 [110]3 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]3 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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Evaluate the expression for the given values. 8x+2yz , where x=12 , y = 4, and z = 2 Enter your answer in the box. need this ASA
FromTheMoon [43]
112 is the answer I think
3 0
3 years ago
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What can you say about the y-values of the two functions f(x)=-5^x +2 and g(x)=-5x^2+2?
Kryger [21]

Answer:

B) The maximum y-value of f(x) approaches 2

C) g(x) has the largest possible y-value

Step-by-step explanation:

f(x)=-5^x+2

f(x) is an exponential function.

Lim x→∞ f(x) = Lim x→∞ (-5^x+2) = -5^(∞)+2 = -∞+2→ Lim x→∞ f(x) = -∞

Lim x→ -∞ f(x) = Lim x→ -∞ (-5^x+2) = -5^(-∞)+2 = -1/5^∞+2 = -1/∞+2 = 0+2→

Lim x→ -∞ f(x) = 2

Then the maximun y-value of f(x) approaches 2


g(x)=-5x^2+2

g(x) is a quadratic function. The graph is a parabola

g(x)=ax^2+bx+c

a=-5<0, the parabola opens downward and has a maximum value at

x=-b/(2a)

b=0

c=2

x=-0/2(-5)

x=0/10

x=0

The maximum value is at x=0:

g(0)=-5(0)^2+2=-5(0)+2=0+2→g(0)=2

The maximum value of g(x) is 2

7 0
3 years ago
A rectangular field is 300 meters long and 250 meters wide. What is the area of the field in square kilometers
lidiya [134]

Answer:

0.075 sq km

Step-by-step explanation:

Given that there is a rectangular field with dimensions of length =300 m and width = 250 m.

We have to calculate area of this rectangle in the units of square kilometres.

Let us convert length and width into km

1000m = 1 km

Hence length = 300/1000= 0.3 km and

width = 250/1000 = 0.25 km.

ARea = length x width = 0.3 x 0.25

=0.075 square km.

7 0
3 years ago
Complete the following for a rectangular prism
denis-greek [22]

Width= 8 cm

Because 192 / 2 = 96 / 12 = 8

SA= (perimeter * height) + 2 (length * width)

SA= (20*12)+2(2*8)

SA= 240+32

SA= 272 cm2

6 0
3 years ago
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-2(3x + 1) &gt; - 6x + 7
svp [43]

Answer:

I am pretty sure this statement is false so it'd be: x= 0

Step-by-step explanation:

8 0
3 years ago
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