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OlgaM077 [116]
2 years ago
13

Please help me with this question

Mathematics
1 answer:
san4es73 [151]2 years ago
5 0

Step-by-step explanation:

Given: f'(x) = x^2e^{2x^3} and f(0) = 0

We can solve for f(x) by writing

\displaystyle f(x) = \int f'(x)dx=\int x^2e^{2x^3}dx

Let u = 2x^3

\:\:\:\:du=6x^2dx

Then

\displaystyle f(x) = \int x^2e^{2x^3}dx = \dfrac{1}{6}\int e^u du

\displaystyle \:\:\:\:\:\:\:=\frac{1}{6}e^{2x^3} + k

We know that f(0) = 0 so we can find the value for k:

f(0) = \frac{1}{6}(1) + k \Rightarrow k = -\frac{1}{6}

Therefore,

\displaystyle f(x) = \frac{1}{6} \left(e^{2x^3} - 1 \right)

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I think the answer is (8, 120)

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3 years ago
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- 16 = -4(-5+ i)<br> Please help i can’t fail this test
Simora [160]

<em>Answer: i=9</em>

<em />

<em>Step-by-step explanation:</em>

<em>-16=-4(-5+i)</em>

<em>-16=20-4i</em>

<em>-20 -20</em>

<em>-36=-4i</em>

<em>Divide by -4 </em>

<em>i=9</em>

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2 years ago
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last week, Jim worked h hours and earned $9 per hour. if he earned a total of $405, which equation can be used to find out how m
ad-work [718]
I hope this helps you




if he can earn $9 per hour


$405 ? hours




?=405/9



?=45 hours he worked
8 0
3 years ago
Are the following proportional? Explain or show<br> your reasoning<br> 3/5 and 18/25
kykrilka [37]

Answer:

No, they are not proportional. 3/5 with equal out to 15/25 by using the method of Least Common Denominator!

Step-by-step explanation:

Hope this helps :)

7 0
2 years ago
Solve for x 14 x square+7x-6
irina [24]

Answer:

x=0.450765 or x=−0.950765

Step-by-step explanation:

14x² + 7x - 6

→ Find the product, sum and factors

Product = -6

Sum = 7

Factors = No factors

→ Since there are no factors utilise the quadratic formula

\frac{-b+-\sqrt{b^{2}-4ac } }{2a}

→ List the values of a, b and c

a = 14

b = 7

c= -6

→ Substitute into the formula

\frac{-7+-\sqrt{7^{2}-4*14*-6} }{2*14}

→ Simplify

x=0.450765 or x=−0.950765

8 0
3 years ago
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