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MaRussiya [10]
3 years ago
7

Find the limit and confirm using the Sandwich Theorem: lim x->infinity (1 - cosx) / (x^2)

Mathematics
1 answer:
sergejj [24]3 years ago
6 0
We are given with the expression <span> (1 - cos x) / (x^2)</span><span> and asked to evaluate the expression to limit as theta approaches zero. In this case, we substitute first zero. cos infinity is 1. The answer is zero over zero. This is indeterminate so we derive the terms according to L'hopital's rule. The derivative is sin x /2x. sin infinity is 1. 1/infinity is equal to zero. Hence the answer is zero.</span>
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gracie and mary and nancy each have a small collection of seashells gracie has 5 more than 1 and 1/4 times the number of shells
Fiesta28 [93]
X = mary's shells
g = 1 1/4x + 5
n = 1 1/2x+ 1
g = n

1 1/4x + 5 = 1 1/2x + 1
5/4x + 5 = 3/2x + 1...multiply by common denominator of 4, this will get rid of fractions...however, this is optional...u can work with fractions if u wish.
5x + 20 = 6x + 4
5x - 6x = 4 - 20
-x = - 16
x = 16....so Mary has 16 shells
6 0
3 years ago
Rectangle A has length 12 and width 8. Rectangle B has length 15 and width 10. Rectangle C has length 30 and width 15.
never [62]

Vicki: 10 + 10 + 20 = 40

Johnny: 10 + 10 + 30 = 50

50 - 40 = 10 birds

5 0
3 years ago
Can somebody step by step explain how to solve this problem??<br><br> (3x^2y)(-7xy^3)
charle [14.2K]

Answer:

\boxed{\bold{-21x^3y^4}}

Explanation:

[ Step One ] Remove Parenthesis: (a) = a

\bold{-3x^2y\cdot \:7xy^3}

[ Step Two ] Multiply: \bold{3\cdot \:7=21}

\bold{-21x^2xy^3y}

[ Step Three ] Apply Exponent Rule \bold{\:a^b\cdot \:a^c=a^{b+c}: \ x^2x=\:x^{2+1}=\:x^3}

\bold{-21x^3y^3y}

[ Step Four ] Apply Exponent Rule: \bold{y^3y=\:y^{1+3}=\:y^4}

\bold{-21x^3y^4}

[ \boxed{\bold{Final \ Answer}} ]

➤ \bold{-21x^3y^4}

\boxed{\bold{Mordancy}}

5 0
3 years ago
Read 2 more answers
10x-5y=25 solve for y
Pavlova-9 [17]
<span>10x-5y=25 solve for y
so
10x - 5y = 25
5y = 10x - 25
  y = 2x - 5

hope it helps</span>
8 0
3 years ago
Tori uses the greatest common factor and the distributive property to rewrite this sum:
vovikov84 [41]
12(2+7)

12 is the GCF for 24 with 12 x2 =24 and 12 is the GCF for 84 with 12 x7= 84.
6 0
3 years ago
Read 2 more answers
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