All categories

3 years ago

The product of 43 and p is less than 95

Mathematics

1 answer:

pshichka [43]3 years ago

4 0

Answer:

Step-by-step explanation: it easy

You might be interested in

Find the exact length of the curve. x=et+e−t, y=5−2t, 0≤t≤2 For a curve given by parametric equations x=f(t) and y=g(t), arc len

Rama09 [41]

The length of a curve C parameterized by a vector function r(t) = x(t) i + y(t) j over an interval a ≤ t ≤ b is

$\displaystyle\int_C\mathrm ds = \int_a^b \sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2} \,\mathrm dt$

In this case, we have

x(t) = exp(t ) + exp(-t ) ==> dx/dt = exp(t ) - exp(-t )

y(t) = 5 - 2t ==> dy/dt = -2

and [a, b] = [0, 2]. The length of the curve is then

$\displaystyle\int_0^2 \sqrt{\left(e^t-e^{-t}\right)^2+(-2)^2} \,\mathrm dt = \int_0^2 \sqrt{e^{2t}-2+e^{-2t}+4}\,\mathrm dt$

$=\displaystyle\int_0^2 \sqrt{e^{2t}+2+e^{-2t}} \,\mathrm dt$

$=\displaystyle\int_0^2\sqrt{\left(e^t+e^{-t}\right)^2} \,\mathrm dt$

$=\displaystyle\int_0^2\left(e^t+e^{-t}\right)\,\mathrm dt$

$=\left(e^t-e^{-t}\right)\bigg|_0^2 = \left(e^2-e^{-2}\right)-\left(e^0-e^{-0}\right) = \boxed{e^2-\frac1{e^2}}$

5 0

3 years ago

Which equation is equivalent to 63-3(2-10x)=150

kogti [31]

Answer:

D: 57 + 30x = 150

Step-by-step explanation:

63-3(2-10x)=150

63 - 6 + 30x = 150

57 + 30x = 150

4 0

3 years ago

Read 2 more answers

The graph shows the relationship between hours worked and total earnings for a store clerk. Let h represent hours worked and e r

Dovator [93]

Answer:

The answer is C.

Step-by-step explanation:

y = kx → e =

h → e = 7.5h

The independent variable is hours worked, h, and the dependent variable is total earnings, e. The independent variable is the input value of a function. The dependent variable is the output value of a function.

8 0

3 years ago

Mapnwea.org/glowest player

Lerok [7]

Answer:

It is B

Step-by-step explanation:

I hope this helps!

7 0

3 years ago

Which is the most accurate measurement of 1 mile? (Remember, there are

olasank [31]

Bro bruhhhh bruh bruh ahahahhaah 2092&29 answer is D

4 0

3 years ago