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MAVERICK [17]
3 years ago
9

Solve the following inequalities a) algebraically AND b) graphically.

Mathematics
1 answer:
STALIN [3.7K]3 years ago
4 0

Answer:

Step-by-step explanation:

2x-x-5

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Consider the function f given by f(x)=x*(e^(-x^2)) for all real numbers x.
NISA [10]

Answer:

\frac{\sqrt{\pi}}{4}

Step-by-step explanation:

You are going to integrate the following function:

g(x)=x*f(x)=x*xe^{-x^2}=x^2e^{-x^2}  (1)

furthermore, you know that:

\int_0^{\infty}e^{-x^2}=\frac{\sqrt{\pi}}{2}

lets call to this integral, the integral Io.

for a general form of I you have In:

I_n=\int_0^{\infty}x^ne^{-ax^2}dx

furthermore you use the fact that:

I_n=-\frac{\partial I_{n-2}}{\partial a}

by using this last expression in an iterative way you obtain the following:

\int_0^{\infty}x^{2s}e^{-ax^2}dx=\frac{(2s-1)!!}{2^{s+1}a^s}\sqrt{\frac{\pi}{a}} (2)

with n=2s a even number

for s=1 you have n=2, that is, the function g(x). By using the equation (2) (with a = 1) you finally obtain:

\int_0^{\infty}x^2e^{-x^2}dx=\frac{(2(1)-1)!}{2^{1+1}(1^1)}\sqrt{\pi}=\frac{\sqrt{\pi}}{4}

5 0
2 years ago
Read 2 more answers
Can someone answer number 11?
Anna71 [15]

Answer:

Step-by-step explanation:

To be rational means to be able to express the result as the ratio of two whole numbers.

a) 4/7 + (-1/3) = 12/21 - 7/21 = 5/21 so rational

b) √(4) • 2/5 = ±2 • 2/5 = ±4/5 so both solutions are rational

5 0
2 years ago
Read 2 more answers
Luis made some trail mix .He mixed 4 2/3 cups of popcorn ,1 1/4 cups of peanuts ,1 1/3 cups of raisins ,and 3/4 cup of sunflower
erastova [34]
I would say the answer is A.
4 0
3 years ago
If one bottle of soda costs .99, how much do three bottles cost? how much do they cost with 5% tax added on?
bija089 [108]
3 sodas cost $2.97 +.15 tax total $3.12
8 0
3 years ago
Osceres
Igoryamba

Answer:

∠B = 12°

∠C = 180 - 48° = 132° ( straight line angle = 180)

Sum of angles of a triangle = 180°

180 =  ∠A + ∠B + ∠C

180 = ∠A + 12 + 132

180 - 144 = ∠A

∠A =  36°

option B

6 0
3 years ago
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