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miskamm [114]
3 years ago
7

HELP PLEASE I DONT KNOW HOW TO DO THIS PLS HELP!!!

Mathematics
1 answer:
insens350 [35]3 years ago
5 0
16 represents the # of small pair of gloves and 2 is the # of large pair of gloves
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Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it.
grandymaker [24]
(2x+1)^{\cot x}=\exp\left(\ln(2x+1)^{\cot x}\right)=\exp\left(\cot x\ln(2x+1)\right)=\exp\left(\dfrac{\ln(2x+1)}{\tan x}\right)

where \exp(x)\equiv e^x.

By continuity of e^x, you have

\displaystyle\lim_{x\to0^+}\exp\left(\dfrac{\ln(2x+1)}{\tan x}\right)=\exp\left(\lim_{x\to0^+}\dfrac{\ln(2x+1)}{\tan x}\right)

As x\to0^+ in the numerator, you approach \ln1=0; in the denominator, you approach \tan0=0. So you have an indeterminate form \dfrac00. Provided the limit indeed exists, L'Hopital's rule can be used.

\displaystyle\exp\left(\lim_{x\to0^+}\dfrac{\ln(2x+1)}{\tan x}\right)=\exp\left(\lim_{x\to0^+}\dfrac{\frac2{2x+1}}{\sec^2x}\right)

Now the numerator approaches \dfrac21=2, while the denominator approaches \sec^20=1, suggesting the limit above is 2. This means

\displaystyle\lim_{x\to0^+}(2x+1)^{\cot x}=\exp(2)=e^2
7 0
3 years ago
How do we find the angles for an irregular trapezoid?​
bogdanovich [222]

Answer:

all angles must add up to 180 to be a trapizoid so if they dont add up then its irregular

Step-by-step explanation:

8 0
3 years ago
Marcus has 2 3/5 gallon of blue paint.He will use 7/10 of the paint for his room.how much blue paint will Marcus use for his roo
yarga [219]

Answer:

1.82 gallon or 6.9 litres

Step-by-step explanation:

Given

Gallon of blue paint= 2   3/5  =  (5*2+3)/5 = 13/5 gallon

Fraction of paint used in painting the room = 7/10 of paint available

                                                                     = 7/10 * 13/5 =91/50 gallon

                                                                        = 1 41/50 gallon = 1.82 gallon

**converting gallon into litres

one gallon is equal to 3.79 litres

hence 91/50 gallon = 91/50*3.79 litres = 6.9 litres

8 0
3 years ago
How do you use Number patterns to find the least common multiple
Andrews [41]
For example if the question asks what is the least common multiple of 2 and 3 you do 2: 1,2 3:1,3 You basically write out all the multiples and which ever one is the same and is the least is the answer! In this case the answer is one
3 0
3 years ago
Determine the axis of symmetry and the vertex of the given function. <br> y = 2x2 − 12x + 21
lianna [129]
Ax^2+bx+c

A=2
B=12
C=21

a(x+d)^2+e

D=b/2a

D=12/2•2

D=2•6/2•2

Cancel the common factor
Then you’ll get
D= 6/2=3

E= c+b^2/4a
E=21-18
E=3

2(x+3)^2+3
A=2
H=-3
K=3

Answer: Vertex= (h,k)
=(-3,3)
3 0
3 years ago
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