4 years ago

Numerical value of cosh(ln5)

Mathematics

1 answer:

strojnjashka [21]4 years ago

6 0

$\cosh x=\dfrac{e^x+e^{-x}}2$

So

$\cosh(\ln 5)=\dfrac{e^{\ln5}+e^{-\ln5}}2=\dfrac{5+\frac15}2=\dfrac{13}5$

You might be interested in

If x =26 and y=2 what is my constant of proportionality?Reduce answer

elena55 [62]

Answer:

1/13

Step-by-step explanation:

y is proportional to x ⇒ y = kx

Plug in (26,2) and solve for k:

2 = k·26

k = 2/26 = 1/13

3 0

3 years ago

Mrs. Adenan sold 63 bracelets at one craft fair and 36 bracelets at a second craft fair total number of bracelets she sold?

swat32

She sold 99 bracelets

6 0

3 years ago

Read 2 more answers

A colony of bacteria has 10,000 bacteria and is growing exponentially. The inequality 10,000(4x) ≥ 320,000 represents the hours,

dexar [7]

Answer:

A [2.5, ∞)

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

I need to know the answer to this problem. Thanks. I will name Brainliest to the correct answer :)

trapecia [35]

Answer:

422

Step-by-step explanation:

Large rectangle

A = 2(lw+wh+lh)

A = 2(7*10+10*5+7*5)

A = 310

Small rectangle

A = 136

Now the squares that connect both, 4*3

Since you have 1 on each rectangle, the total area for this is 24

add 310 + 136 and substract 24

3 0

3 years ago

Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that

kherson [118]

Answer:

The answer is

$f(x) = {\displaystyle 8 + \frac{-28}{1}(x+2)+\frac{-36}{2!}(x+2)^2 + \frac{-18}{3!}(x+2)^2 }$

Step-by-step explanation:

Remember that Taylor says that

$f(x) = {\displaystyle \sum\limits_{k=0}^{\infty} \frac{f^{(k)}(a) }{k!}(x-a)^k }$

For this case

$f^{(0)} (-2) = 8(-2)-3(-2)^3 = 8\\f^{(1)} (-2) = 8-3(3)(-2)^2 = -28\\f^{(2)} (-2) = -3(3)2(-2) = -36\\f^{(2)} (-2) = -3(3)2 = -18$

$f(x) = {\displaystyle 8 + \frac{-28}{1}(x+2)+\frac{-36}{2!}(x+2)^2 + \frac{-18}{3!}(x+2)^2 }$

5 0

3 years ago