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Schach [20]
3 years ago
15

If F'(x)=

=" \sqrt{1+x^{3} } " align="absmiddle" class="latex-formula"> and F(1)=5, then F(3)=
(A)1.230
(B)3.585
(C)6.230
(D)8.535
(E)11.230
Mathematics
1 answer:
Ratling [72]3 years ago
5 0

Answer:

E

Step-by-step explanation:

Since the given expression is an elliptic integral, it's not easy to find F(x) explicitly. However, if we use a linear approximation, we can try to estimate F(3), though it won't be too close, since 3 is not very close to 1.

At the point (1,5) the slope of the tangent line is F'(1) = \sqrt{2}

So, using that line,

F(3) = F(1) + F'(1)(3-1) = 5+2\sqrt{2} = 7.828

Well, that didn't work out too well.

So, let's pull out our handy integral calculator, and we find that

\int\limits^0_1 {\sqrt{1+x^3} } \, dx = 1.111

But, we know that F(1) = 5. So we need to add C = 3.889

Now, integrating again,

\int\limits^0_3 \sqrt{1+x^3} \, dx = 7.341 + 3.889 = 11.229

Oops. I messed up the limits, but you get the idea.

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Verdich [7]
I don’t see a point so how am I supposed to answer
8 0
2 years ago
HELP PLZ!!!!!!!!!!!!!!!!!!!!!
Anna35 [415]

Answer:

30

Step-by-step explanation:

9 + 13 = 22

22 + 43 = 65

65 + 55 = 120

120 ÷ 4 = 30

hope this helps

3 0
3 years ago
Jaime wrote 4.4_0.33=1.1 is his answer reasonable?why're why not?
shusha [124]
No you have to make sure to line up the decimals when subtracting them. Do not just line of the numbers, this wills get you the wrong answers. Hope this helps. If you need anything else just call for a helping hand.

7 0
3 years ago
Line AB passes through A(-3, 0) and B(-6, 5). What is the equation of the line that passes through the origin and is parallel to
amid [387]

parallel means "same slope (m)"

m = \frac{y2 - y1}{x2 - x1} = \frac{0 - 5}{-3 - (-6)} = \frac{-5}{-3 + 6} = \frac{-5}{3}

Now, input the point (0, 0) and the slope (\frac{-5}{3}) into the Point-Slope formula:

y - y₁ = m(x - x₁)

y - 0 = \frac{-5}{3}(x - 0)

    y = \frac{-5}{3}x

 3y = -5x    <em>multiplied both sides by 3</em>

 0   = -5x - 3y  <em>subtracted 3y from both sides</em>

Answer: C


7 0
3 years ago
GIVING THE BRAINLIEST ANSWER
Ahat [919]

Answer:

(6,3)

Step-by-step explanation:

y=2/3 x - 1

y=-1/2 x + 6

Since both equations are equal to y, we can set them equal

2/3 x - 1 =-1/2 x + 6

We have fractions, so I will multiply by 6 to clear the fractions

6(2/3 x - 1) =(-1/2 x + 6)6

Distribute

4x -6 = -3x +36

Add 3x to each side

4x+3x -6 = -3x+3x +36

7x -6 = 36

Add 6 to each side

7x-6+6 = 36+6

7x = 42

Divide each side by 7

7x/7 = 42/7

x =6

Now we need to find y

y =2/3x -1

y = 2/3(6) -1

y = 4-1

y=3

(6,3)

5 0
3 years ago
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