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3 years ago

If you know how many CD's Mickey orders,can you determine how much money he spends?Write the correspondering expression.

Mathematics

1 answer:

Setler [38]3 years ago

4 0

no not until u know the price of a cd u cant determine the total price

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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

2 years ago

Plssssssss help solve

Lana71 [14]

Answer:

cosine = adjacent/hypotenuse

cos A = 20/29 (choice: yellow)

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Identify the type of pair of angles labeled as 1 and 2 in the figure.

myrzilka [38]

Hey!!

1 and 2 are vertical angles.

Vertically opposite angles are always equal to each other.

Hope it helps..

7 0

2 years ago

Read 2 more answers

Explain how to write a function rule from the table below. Then write a function rule

DedPeter [7]

To write an equation you need a slop and y intercept. To find the slop use the formula y2-y1 /x2-x1. and for the y intercept use the formula y=mx+b

3 0

3 years ago

In 2001 the mint indoor pool vault record was 20 and 1/6 the women’s record for the indoor pool vault was 15 and 5/12 FT what is

blondinia [14]

Answer:

35 and 7/12 feet is the combined height of the two records.

Step-by-step explanation:

Height of the indoor pool vault record for men = 20 and 1/6 ft = $\frac{121}{6} ft$

Height of indoor pool vault record for women = 15and 5/12 ft = $\frac{185}{12} ft$

The combined height of the two records :

$\frac{121}{6} ft+\frac{185}{12} ft$

$\frac{121\times 2}{6\times 2} ft+\frac{185}{12} ft$

$\frac{242}{12} ft+\frac{185}{12} ft$

$\frac{242+185}{12} ft=\frac{427}{12}=35\frac{7}{12}$

35 and 7/12 feet is the combined height of the two records.

5 0

2 years ago