If F'(x)= $\sqrt{1+x^(3) }$ and F(1)=5, then F(3)= (A)1.230
(B)3.585
(C)6.230
(D)8.535
(E)11.230

Answers

Answer 1

Answer:

Answer:

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) = $√(2)$

So, using that line,

F(3) = F(1) + F'(1)(3-1) = 5+2 $√(2)$ = 7.828

Well, that didn't work out too well.

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

$\int\limits^0_1 {√(1+x^3) } \, dx = 1.111$

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

Now, integrating again,

$\int\limits^0_3 √(1+x^3) \, dx = 7.341 + 3.889 = 11.229$

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

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a bicycle tire is 28 inches in diameter. approximately how far does the bicycle move foward each time the wheel goes around?

Answers

Answer:

Step-by-step explanation:

circumference=2πr=2π×14=28π=28×22/7≈88 inch

it covers a distance of 88 inch in one revolution.

Simplify 12 - (-8)*4 = ?
A. 20
B. 44
C. 80
D. 16

Answers

12-
(-8)*4
12-(-32)= 12+32
44

You will do multiplication first and you will get -32 now you do 12 - (-32) and get 47

F(1)=7, f(n)=-4*f(n-1)+15

Answers

I put all the work in my attachment. f(n)=1 8/35

Final answer:

The given problem is a type of recursive sequence in mathematics. We can find any term in the sequence by taking four times the negative of the previous term and adding 15. For example, the second term is -13, calculated from the given first term of 7 as -4*7+15.

Explanation:

The problem given states that F(1)=7, f(n)=-4*f(n-1)+15, which is a type of recursive sequence in mathematics. In this sequence, each term is defined as four times the negative of the previous term added to 15. For any term f(n), the previous term is f(n-1). Therefore, if we want to find the next term after F(1), which is f(2), we substitute n=2 into the equation, giving us: f(2) = -4*f(2-1)+15 = -4*F(1)+15 = -4*7+15 = -28+15 = -13. Continuing this calculating method allows us to find subsequent terms in the sequence.

Learn more about Recursive Sequence here:

brainly.com/question/32694805

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In triangle TUV, Y is the centroid. If YW=30, what is TY?

Answers

Answer:

TY = 60

D is correct

Step-by-step explanation:

In triangle TUV, Y is the centroid.

As we know the centroid of the triangle is divides median into 1:2 ratio. The ratio is length of median from centroid to the side to length of median to opposite vertex.

Therefore, WY:TY = 1:2

$(WY)/(TY)=(1)/(2)$