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2 years ago

5-16 find the general indefinite integral.

1 answer:

6 0

$\displaystyle\int \left( u^6 - 2u^5 - u^3 + \cfrac{2}{7} \right)du\implies \cfrac{u^7}{7}-2\cdot \cfrac{u^6}{6}-\cfrac{u^4}{4}+\cfrac{2}{7}u \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{u^7}{7}- \cfrac{u^6}{3}-\cfrac{u^4}{4}+\cfrac{2u}{7}+C~\hfill$

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Can i get some help. To clarify this is homework not a test or etc...

Vikki [24]

Answer:

105/24

Step-by-step explanation:

The volume of a rectangular prism is length*width*height.

3/2 * 5/4 * 7/3 would be 15/8*7/3 which is 105/24, which is the fourth option.

7 0

3 years ago

Read 2 more answers

Help me with these math questions.

Olegator [25]

graph A

no x-intercept

no y-intercept

H.A is y = 5

V. A. is x = 0

*****************************************

Answer: $\frac{150}{31}$

<u>Step by step explanation:</u>

log₆(5x + 6) - log₆(x - 4) = 2

log₆ $(\frac{5x+6}{x-4})$ = 2

$(\frac{5x+6}{x-4})$ = 6²

$(\frac{5x+6}{x-4})$ = 36

5x + 6 = 36(x - 4)

5x + 6 = 36x - 144

6 = 31x - 144

150 = 31x

$\frac{150}{31}$ = x

**********************************************************

Answers:

a. (-1, -5)
b. up
c. x = -1
d. $\frac{-2+\sqrt{15}}{3} and\frac{-2-\sqrt{15}}{3}$
e. -2
f. see attachment
g. domain (-∞, ∞) range [-5, ∞)

<u>Explanation:</u>

f(x) = 3x² + 6x - 2

a=3 b=6 c=-2

x = $\frac{-b}{2a} =\frac{-6}{2(3)} = \frac{-6}{6} = -1$

Axis Of Symmetry: x = -1

f(-1) = 3(-1)² + 6(-1) - 2

= 3 - 6 - 2

= -5

Vertex: (-1, -5)

x = $\frac{-b+/-\sqrt{b^{2}-4ac}}{2a}$

= $\frac{-6+/-\sqrt{6^{2}-4(3)(-2)}}{2(3)}$

= $\frac{-6+/-\sqrt{36+24}}{6}$

= $\frac{-6+/-\sqrt{60}}{6}$

= $\frac{-6+/-2\sqrt{15}}{6}$

= $\frac{-2+/-\sqrt{15}}{3}$

x-intercepts: $\frac{-2+/-\sqrt{15}}{3}$

6 0

3 years ago

Bailey was practicing karate and kicked the target 6 out of 20 times. Express the number of times she kicked the target as a fra

sattari [20]

Answer:

ok so here we know that Baily kicked the target 6 times out of 20 that is 6/20 and then you just reduce the fraction dividing it by 2 so it will be 3/10

Step-by-step explanation:

hope it helps :)

3 0

2 years ago

Mrs. Gordon sometimes makes her melon salad for special events. When she made it

Natali5045456 [20]

Answer: the watermelon costs $1 and the honeydew melon costs $3.
x = honeydew costs y = watermelon cost
3x+7y = 16
3(3)+7(1) = 16
9+7 = 16

7x+4y = 25
7(3)+4(1) = 25
21+4 = 25

8 0

3 years ago

The sum of two numbers is 25. Their difference is 9. What are the two numbers?

Lynna [10]

Using x and y as the numbers

x+y=25 -------#1
x-y=9 -------#2

Using addition of #1 and #2
x+y+x-y= 25+9
2x+0y=34
2x=34
x=17

Using the value of x and plugging said value into #1 or #2, we can find y
x=17

x+y=25
17+y=25
y=8

OR

x-y=9
17-y=9
-y=-8
y=8

The numbers are 8 and 17

5 0

4 years ago

Read 2 more answers