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Andrews [41]
3 years ago
13

Which expression is equal to

Mathematics
2 answers:
fgiga [73]3 years ago
6 0

Answer:

D) 31x2 - 2 is the answer

Step-by-step explanation:


Andreyy893 years ago
4 0
Please fix the equation in the second part. Is it + or -.
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36= 4 times b raised to the second power
MariettaO [177]
B = 3

3 to the second power is 9, and 4 • 9 = 36.
4 0
3 years ago
F(x)=x^3+3
lawyer [7]

Answer:

  (a)   -3/4

  (b)  -0.75

  (c)  -0.75

Step-by-step explanation:

It's a bit hard to tell what constitutes an "iteration" when using the bisection method to approximate a polynomial root. For the purpose here, we'll say one iteration consists of ...

  • evaluating the function at the midpoint of the bracketing interval
  • choosing a smaller bracketing interval
  • identifying the x-value known to be closest to the solution

Thus, the result of the iteration consists of a bracketing interval and the choice of one of the interval's ends as the solution approximation.

__

(a) We observe that the graphs intersect in the interval (-1, 0). For the first iteration, we evaluate f(x)-g(x) at x=-1/2. This tells us the solution is in the interval (-1, -1/2). The x-value closest to the root is x=-1/2.

For the second iteration, we evaluate the function f(x)-g(x) at x=-3/4. This tells us the solution is in the interval (-1, -3/4). The x-value closest to the root is x=-3/4.

For the third iteration, we evaluate the function f(x)-g(x) at x=-7/8. This tells us the solution is in the interval (-7/8, -3/4). The x-value closest to the root is x=-3/4.

__

(b) The graph tells us the solution is approximately 0.7549. Rounded to 2 decimal places, the solution is approximately 0.75.

__

(c) The above solution found after 3 iterations rounded to 2 decimal places is exactly 0.75.

__

See the attached table for function values.

_____

<em>Comment on bisection iteration</em>

Since you cut the interval containing the root in half with each iteration, you gain approximately one decimal place for each 3 iterations. When the function value is very nearly zero at one of the interval endpoints, it can take many more iterations to achieve a better result.

Here, it takes 4 more iterations before an x-value becomes closer to the solution (x≈-97/128). And it takes one more iteration to move the end of the interval away from -3/4. After these 5 more iterations (8 total), the solution is known to lie in the interval (-97/128, -193/256). The corresponding solution approximation is -193/256. It is still only correct to 2 decimal places.

5 0
3 years ago
Find all solutions to the equation in the interval [0, 2pi). COS X = sin 2x​
Lera25 [3.4K]

Answer:

Step-by-step explanation:

cos x=sin 2x

sin 2x-cos x=0

2 sin x cos x-cos x=0

cos x(2 sin x-1)=0

either cos x=0

x=\frac{\pi }{2},\frac{3\pi }{2}

or

2 sin x-1=0

sin x=\frac{1}{2} =sin (\frac{\pi }{6}),sin(\pi -\frac{\pi }{6} )\\x=\frac{\pi }{6} ,\frac{5 \pi }{6}

6 0
2 years ago
Given a=5 b=12 c=13 5²+12²=13²
Advocard [28]

Answer:

a^2+b^2=a(2)^1.5

Step-by-step explanation:

im not sure, just seems right

4 0
3 years ago
(#5) A carpenter has two different-sized circular saws. The smaller saw has the radius shown. I couldn't show it, so it is 1.25
grin007 [14]

Answer:

4.71 in. difference

Step-by-step explanation:

so, the radius of the smaller saw is 1.25 and the diameter is double the radius. so it is 2.5 in diameter. the larger saw is 1.5 in greater which is 4 in.

to find circumference, you have to use the solution C = πd or circumference = pi x diameter.

3.14 x 2.5 = 7.85

4 x 3.14 = 12.56

subtract 7.85 from 12.56 to get your answer! i hope this helps!

5 0
3 years ago
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