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3 years ago

I need help with this problem

Mathematics

1 answer:

lidiya [134]3 years ago

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Answer:

Step-by-step explanation:

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Evaluate 15/5 + 40 . 7 - 3 to the power of 4.

Lina20 [59]

15/5 + 40.7 -3^4
= 3 + 40.7 - 81
= -37.3

hope this helps! :)))

4 0

3 years ago

Calculus 3 chapter 16

o-na [289]

Evaluate $\vec F$ at $\vec r$ :

$\vec F(x,y,z) = x\,\vec\imath + y\,\vec\jmath + xy\,\vec k \\\\ \implies \vec F(\vec r(t)) = \vec F(\cos(t), \sin(t), t) = \cos(t)\,\vec\imath + \sin(t)\,\vec\jmath + \sin(t)\cos(t)\,\vec k$

Compute the line element $d\vec r$ :

$d\vec r = \dfrac{d\vec r}{dt} dt = \left(-\sin(t)\,\vec\imath+\cos(t)\,\vec\jmath+\vec k\bigg) \, dt$

Simplifying the integrand, we have

$\vec F\cdot d\vec r = \bigg(-\cos(t)\sin(t) + \sin(t)\cos(t) + \sin(t)\cos(t)\bigg) \, dt \\ ~~~~~~~~= \sin(t)\cos(t) \, dt \\\\ ~~~~~~~~= \dfrac12 \sin(2t) \, dt$

Then the line integral evaluates to

$\displaystyle \int_C \vec F\cdot d\vec r = \int_0^\pi \frac12\sin(2t)\,dt \\\\ ~~~~~~~~ = -\frac14\cos(2t) \bigg|_{t=0}^{t=\pi} \\\\ ~~~~~~~~ = -\frac14(\cos(2\pi)-\cos(0)) = \boxed{0}$

3 0

2 years ago

Habib wants to cover a kitchen wall in ceramic tile. The wall is 42 feet by 10 feet.

Slav-nsk [51]

Answer: Side of largest square tile will be 105 feet.

Explanation:

Since we have given that

dimensions of the wall is 42 feet by 10 feet

So,

Length of wall = 42 feet

Breadth of wall = 10 feet

First we calculate the H.C.F. of 42 and 10,

which is 2 only.

The largest square tile side would be 2 feet.

Now, we find the number of tiles used,

Number of tiles =

$\frac{\text{Area of wall}}{\text{H.C.F. of }42\text{ and }11\times\text{ H.C.F. of }42\text{ and } 11}}\\\\=\frac{42\times 10}{2\times 2}\\\\=\frac{420}{4}\\\\=105$

We get integer value of number of tiles.

Therefore, Side of largest square tile will be 2 feet.

7 0

3 years ago

Use the rules of equations and inverse operations to solve the equation 3x^2=;8

PtichkaEL [24]

8-2 and then 3 divided by 6 which will give you 0.5 so x=0.5

4 0

3 years ago

Z=91 - 27i<br> Real part of z?<br> Imaginary part of z?

Artemon [7]

In $z=a+ i b$ ,

$a$ is the real part

$ib$ is the imaginary part.

Comparing, we get:

Real part: $91$

Imaginary part: $-27i$

3 0

3 years ago

I need help with this problem ​

I need help with this problem