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Elan Coil [88]
3 years ago
13

C. Polynomial functions: y = x4 - 3x2 - 3Leading termLeading coefficient :Degree:​

Mathematics
1 answer:
MrRissso [65]3 years ago
3 0

Answer:

Step-by-step explanation:

hello : here is an solution

Leading coefficient :  1  , 0  , -3  ,0  , -3   because : y = 1x4+0x^3 - 3x2+0x - 3

Degree:​ 4

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the mixed number form is 10 7/8

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3 years ago
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Sally has 4 apples and maria has 9. How many apple to they have in total
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13

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Can someone please explain this to me? Thanks!
Makovka662 [10]

Answer:  Choice D

\displaystyle F\ '(x) = 2x\sqrt{1+x^6}\\\\

==========================================================

Explanation:

Let g(t) be the antiderivative of g'(t) = \sqrt{1+t^3}. We don't need to find out what g(t) is exactly.

Recall by the fundamental theorem of calculus, we can say the following:

\displaystyle \int_{a}^{b} g'(t)dt = g(b)-g(a)

This theorem ties together the concepts of integrals and derivatives to show that they are basically inverse operations (more or less).

So,

\displaystyle F(x) = \int_{\pi}^{x^2}\sqrt{1+t^3}dt\\\\ \displaystyle F(x) = \int_{\pi}^{x^2}g'(t)dt\\\\ \displaystyle F(x) = g(x^2) - g(\pi)\\\\

From here, we apply the derivative with respect to x to both sides. Note that the g(\pi) portion is a constant, so g'(\pi) = 0

\displaystyle F(x) = g(x^2) - g(\pi)\\\\ \displaystyle F \ '(x) = \frac{d}{dx}[g(x^2)-g(\pi)]\\\\\displaystyle F\ '(x) = \frac{d}{dx}[g(x^2)] - \frac{d}{dx}[g(\pi)]\\\\ \displaystyle F\ '(x) = \frac{d}{dx}[x^2]*g'(x^2) - g'(\pi) \ \text{ .... chain rule}\\\\

\displaystyle F\ '(x) = 2x*g'(x^2) - 0\\\\ \displaystyle F\ '(x) = 2x*g'(x^2)\\\\ \displaystyle F\ '(x) = 2x\sqrt{1+(x^2)^3}\\\\ \displaystyle F\ '(x) = \boldsymbol{2x\sqrt{1+x^6}}\\\\

Answer is choice D

5 0
2 years ago
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Someone factor x^2+18x+77
Ipatiy [6.2K]
77 is a multiple of 11, as i'm sure you know--the double numbers like 22 and 55, one of the factors are always 11.

77 is factored down into 11 and 7--which, when you add those, luckily equal 18.

(x + 11)(x + 7) is your factorization.
5 0
4 years ago
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