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nirvana33 [79]
2 years ago
13

Perimeter = 16x + 8 The length of the indicated side is

Mathematics
1 answer:
Dahasolnce [82]2 years ago
6 0

Answer:

d

Step-by-step explanation:

Because you need to substitute the variable first, multiply that and add 8.

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Timed please help :))
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3 years ago
3x(x+5y)+2y(7x-y)+4(^2+2y)
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Slope = 1/2 goes through (2,6)
Darina [25.2K]
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2 years ago
T what point does the curve have maximum curvature? Y = 7ex (x, y) = what happens to the curvature as x → ∞? Κ(x) approaches as
Nookie1986 [14]

Formula for curvature for a well behaved curve y=f(x) is


K(x)= \frac{|{y}''|}{[1+{y}'^2]^\frac{3}{2}}


The given curve is y=7e^{x}


{y}''=7e^{x}\\ {y}'=7e^{x}


k(x)=\frac{7e^{x}}{[{1+(7e^{x})^2}]^\frac{3}{2}}


{k(x)}'=\frac{7(e^x)(1+49e^{2x})(49e^{2x}-\frac{1}{2})}{[1+49e^{2x}]^{3}}

For Maxima or Minima

{k(x)}'=0

7(e^x)(1+49e^{2x})(98e^{2x}-1)=0

→e^{x}=0∨ 1+49e^{2x}=0∨98e^{2x}-1=0

e^{x}=0  ,  ∧ 1+49e^{2x}=0   [not possible ∵there exists no value of x satisfying these equation]

→98e^{2x}-1=0

Solving this we get

x= -\frac{1}{2}\ln{98}

As you will evaluate {k(x})}''<0 at x=-\frac{1}{2}\ln98

So this is the point of Maxima. we get y=7×1/√98=1/√2

(x,y)=[-\frac{1}{2}\ln98,1/√2]

k(x)=\lim_{x\to\infty } \frac{7e^{x}}{[{1+(7e^{x})^2}]^\frac{3}{2}}

k(x)=\frac{7}{\infty}

k(x)=0







5 0
3 years ago
How much interest is earned on a principle of $864.27 invested at an interest rate of 8% for 3 years? Round to the nearest cent
amid [387]

Answer:

the interest =20.74

whereas the total sum=8850(the sum is the nearest cent)

<h2><em><u>HOPE</u></em><em><u> </u></em><em><u>IT</u></em><em><u> </u></em><em><u>HELPS</u></em><em><u> </u></em><em><u>YO</u></em><em><u>U</u></em></h2>

7 0
3 years ago
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