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tatiyna
3 years ago
9

HELP! Will give branliest

Mathematics
1 answer:
QveST [7]3 years ago
8 0
Area=Length*Width
So.... Length= Area/Width
Answer: 88 m
Step by Step: 5984/68=88
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Please help me I have 10 minutes no scams I’m in 7th grade
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The answer is 37

Step-by-step explanation:

180- 143= 37

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Base= 1.5 area=2 but what does height equal
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Solve y = x2 - 18 for x.<br> (Apex)
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Step-by-step explanation:

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Emil bought a camera for $268.26, including tax. He made a down payment of $12.00 and paid the balance in 6 equal monthly paymen
iragen [17]
The total cost of the camera is $268.26

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3 years ago
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(a) Use the power series expansions for ex, sin x, cos x, and geometric series to find the first three nonzero terms in the powe
Fofino [41]

Answer:

a) \mathbf{4 + \dfrac{x}{1!}- \dfrac{2x^2}{2!}  ...}

b)  See Below for proper explanation

Step-by-step explanation:

a) The objective here  is to Use the power series expansions for ex, sin x, cos x, and geometric series to find the first three nonzero terms in the power series expansion of the given function.

The function is e^x + 3 \ cos \ x

The expansion is of  e^x is e^x = 1 + \dfrac{x}{1!}+ \dfrac{x^2}{2!}+ \dfrac{x^3}{3!} + ...

The expansion of cos x is cos \ x = 1 - \dfrac{x^2}{2!}+ \dfrac{x^4}{4!}- \dfrac{x^6}{6!}+ ...

Therefore; e^x + 3 \ cos \ x  = 1 + \dfrac{x}{1!}+ \dfrac{x^2}{2!}+ \dfrac{x^3}{3!} + ... 3[1 - \dfrac{x^2}{2!}+ \dfrac{x^4}{4!}- \dfrac{x^6}{6!}+ ...]

e^x + 3 \ cos \ x  = 4 + \dfrac{x}{1!}- \dfrac{2x^2}{2!} + \dfrac{x^3}{3!}+ ...

Thus, the first three terms of the above series are:

\mathbf{4 + \dfrac{x}{1!}- \dfrac{2x^2}{2!}  ...}

b)

The series for e^x + 3 \ cos \ x is \sum \limits^{\infty}_{x=0} \dfrac{x^x}{n!} +  3 \sum \limits^{\infty}_{x=0} ( -1 )^x  \dfrac{x^{2x}}{(2n)!}

let consider the series; \sum \limits^{\infty}_{x=0} \dfrac{x^x}{n!}

|\frac{a_x+1}{a_x}| = | \frac{x^{n+1}}{(n+1)!} * \frac{n!}{x^x}| = |\frac{x}{(n+1)}| \to 0 \ as \ n \to \infty

Thus it converges for all value of x

Let also consider the series \sum \limits^{\infty}_{x=0}(-1)^x\dfrac{x^{2n}}{(2n)!}

It also converges for all values of x

7 0
3 years ago
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