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Vika [28.1K]
3 years ago
8

Which of the following are NOT the correct reasons to complete the proof above?

Mathematics
1 answer:
kirza4 [7]3 years ago
8 0

Answer:

A C E

Step-by-step explanation:

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The base of a solid is bounded by the curve y = sqrt (x+1) the x-axis and the line x = 1. the cross sections, taken perpendicula
Andrei [34K]

See attached for a sketch of some of the cross sections.

Each cross section has area equal to the square of the side length, which in turn is the vertical distance between the curve y = √(x + 1) and the x-axis (i.e. the distance between them that is parallel to the y-axis). This distance will be √(x + 1).

If the thickness of each cross section is ∆x, then the volume of each cross section is

∆V = (√(x + 1))² ∆x = (x + 1) ∆x

As we let ∆x approach 0 and take infinitely many such cross sections, the total volume of the solid is given by the definite integral,

\displaystyle \int_{-1}^1 (x+1) \, dx = \left(\frac{x^2}2 + x\right) \bigg|_{-1}^1 = \boxed{2} ~~~~ (B)

3 0
2 years ago
What is the interest rate if the principal is $25,000, the interest is $10,875, and the time is 15 years?
mel-nik [20]

Answer:

interest rate = 2.9%

Step-by-step explanation:

the principal is $25,000, the interest is $10,875

Number of years = 15

We use simple interest formula

I = P*r*t

Where I is the interest amount=10,875

P is the principal amount= 25000

r is the interest rate = r

t is the number of years = 15

Plug in all the value in the formula

I = P*r*t

10875 = 25000 * r * 15

10875 = 375000 * r

Divide both sides by 375000

r=0.029

We always write rate of interest in percentage so we multiply by 100

0.029 * 100= 2.9%

So interest rate = 2.9%



8 0
3 years ago
for the equation 2x(3x+5)+3(3x+5)=ax^2+bx+c , if this equation is true for all values of x,what is the value of b if a,b,and c a
guapka [62]

Answer:

b=19

Step-by-step explanation:

2x(3x+5)+3(3x+5)=ax2 +bx+c

by expansion,

6x2 +10x +9x+15=6x2 +19x +15

6 0
3 years ago
Anyone know the answer?
SIZIF [17.4K]

Answer:

No

Step-by-step explanation:

No function, because the same output can't have two different inputs.

7 0
3 years ago
Determine which one of this is a function
luda_lava [24]

Answer:

Option 2?

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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