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3 years ago

Find the integral, using techniques from this or the previous chapter. ∫xex dx.

Mathematics

1 answer:

BigorU [14]3 years ago

6 0

Answer:

$xe^{x} - e^{x} +C$

Step-by-step explanation:

we will solve this using integration by parts as the problem is a product of two functions which none of them are constants.

∫udv = uv -∫vdu ..............equ 1

∫ $xe^{x}$

u=x ,

du= 1

dv = $e^{x}$

v=∫dv= $e^{x}$

Substituting into equ 1

∫udv = $xe^{x}$ - ∫ $e^{x}dx$

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(2 points) An article in the Washington Post on March 16, 1993 stated that nearly 45 percent of all Americans have brown eyes. A

lara31 [8.8K]

Answer: a) z=1.43

b) 0.1528

Step-by-step explanation:

The given set of hypothesis :

$H_0:p=0.45$

$H_a:p\neq0.45$

Since the alternative hypothesis $H_a$ is two-tailed , so we perform two-tailed test.

Also, it is given that : A random sample of n=76 Americans found 28 with brown eyes.

Sample proportion: $\hat{p}=\dfrac{28}{76}=0.3684$

a) The z-statistic would be :-

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

$\Rightarrow\ z=\dfrac{0.3684-0.45}{\sqrt{\dfrac{0.45(1-0.45)}{76}}}=-1.4299121397\approx-1.43$

b) P-value for two-tailed test = 2P(Z>|z|)= 2P(z>|-1.43|)

=2P(z>1.43)

=2(1-P(z≤1.43)

=2-2P(z≤1.43)

= 2-2(0.9236)[Using standard z-table]

= 2-1.8472=0.1528

Hence, the P-value of the test= 0.1528

6 0

3 years ago

11) The difference of two numbers is 3. Their sum is 23. What are the numbers?

Artyom0805 [142]

Answer:

Step-by-step explanation:

ill try this one in a few minutes for you.

7 0

2 years ago

1/5 of the beads in a jar are purple. Karen plans to use the purple beads to make 6 necklaces. If she used the same number of pu

ira [324]

Answer:

Im late and I could be wrong but is it 3/100?

Step-by-step explanation:

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3 years ago

Determine the roots of f(x) = -12-2.1x+18x^2-2.75x^3 graphically. in addition, determine the first root of the function with

vesna_86 [32]

The given function is that is a cubic polynomial

$f(x)=-12-2.1x+18x^2-2.75x^3$

when arranged in descending order that is from highest degree to lowest degree

$f(x)=-2.75x^3+18x^2-2.1x-12$

Since it is a three degree polynomial it has three roots.

According to rational root theorem , the possible roots of the above expression that is factors of $\frac{12}{2.75}$ = $\frac{48}{11}$ are $\pm1, \pm 2, \pm 3, \pm 4, \pm 6, \pm 8, \pm 12, \pm 24, \pm 48, \pm\frac{1}{11}, \pm\frac{2}{11}, \pm\frac{3}{11}\pm\frac{4}{11}\pm\frac{6}{11},\pm\frac{8}{11},\pm\frac{12}{11}, \pm\frac{24}{11},\pm\frac{48}{11}$