Find the area of the part of the plane z = ax + by + c that projects onto a region in the xy-plane with area

2 – Efetue:

BartSMP [9]

A) $7x(-5)$

A multiplicação de um numero positivo por um numero negativo resulta em um numero negativo: $(+) x (-)=(-)$

$(7x5)$

Multiplique os valores

$-35$

resposta para A: $-35$

B) $(-9)x(-8)$

A multiplicação dois números negativos resulta em um numero positivo : $(-)x(-)=(+)$

$9 x 8$

Multiplique os valores

$72$

Resposta para B : $72$

C) $(-15) : 5$

A divisão de um numero negativo por um positivo resulta em um numero negativo: $(-):(+)=(-)$

$-(15:5)$

Divida os números

$-3$

Resposta para C: $-3$

D) $125 : 25$

Divida os números

$5$

Resposta para D: $5$

POR FAVOR ME MARCA BRAINLIEST

5 0

2 years ago

A) Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given cur

Leno4ka [110]

(a) See the attached sketch. Each shell will have a radius y chosen from the interval [2, 4], a height of x = 2/y, and thickness ∆y. For infinitely many shells, we have ∆y converging to 0, and each super-thin shell contributes an infinitesimal volume of

2π (radius)² (height) = 4πy

Then the volume of the solid is obtained by integrating over [2, 4]:

$\displaystyle 4\pi \int_2^4 y\,\mathrm dy = 2\pi y^2\bigg|_{y=2}^{y=4} = 2\pi (4^2-2^2) = \boxed{24\pi}$

(b) See the other attached sketch. (The text is a bit cluttered, but hopefully you'll understand what is drawn.) Each shell has a radius 9 - x (this is the distance between a given x value in the orange shaded region to the axis of revolution) and a height of 8 - x ³ (and this is the distance between the line y = 8 and the curve y = x ³). Then each shell has a volume of

2π (9 - x)² (8 - x ³) = 2π (648 - 144x + 8x ² - 81x ³ + 18x ⁴ - x ⁵)

so that the overall volume of the solid would be

$\displaystyle 2\pi \int_0^2 (648-144x+8x^2-81x^3+18x^4-x^5)\,\mathrm dx = \boxed{\frac{24296\pi}{15}}$

I leave the details of integrating to you.

3 0

2 years ago

Determine the equation of the inverse of: f(x) = 5x^2+ 80x – 15

9966 [12]

Answer:

2343Sfvdawruit5788888888888888

6 0

3 years ago

Please help to solve it step by step, (show working) please help me

ANTONII [103]

I'm assuming you only need the first triangle. You didn't specify. If you need it after I answer the first one I'll be happy to help though.

To find the area of a triangle you go b(h)/2=a

6cm(3cm)/2
18/2
Area=9

To find the perimeter you add all of the sides together.

4+4+6=P
4+10=P
14= Perimeter

7 0

3 years ago

How do I subtract fractions

sesenic [268]

To perform the correct operation as to subtract numbers, make sure the denominators are the same, and then one can then subtract and remove a smaller number from the larger one.

This same method also holds true for adding fractions together as well.

Another way to subtract fractions is to convert them from fraction form to decimal form and then align the decimal points and subtract the values.

3 0

2 years ago