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3 years ago

Find the most general antiderivative of the function. (Use C for the constant of the antiderivative).

Mathematics

1 answer:

ArbitrLikvidat [17]3 years ago

7 0

Answer:

$x^6 - \frac{7x^5}{5} - 3x^3 + C$

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In a class of 32 boys, 16 passed the

vodka [1.7K]

Answer:

3/8

Step-by-step explanation:

12/32 failled and if you simplify this it means that about 3/8 of the class failled

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3 years ago

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Expand the polynomial and simplify: (4xy− 1 8 y^2)^2

Vinvika [58]

Answer: $4y^{2}(2x-9y)^{2}$

Step-by-step explanation:

We have the following polynomial:

$(4xy-18y^{2})^{2}$

This is a polynomial of the form $(a-b)^{2}=a^{2}-2ab+b^{2}$ . Following this rule to expand it, we have:

$(4xy)^{2}-2(4xy)(18y^{2})+(18y^{2})^{2}$

$16x^{2}y^{2}-144xy^{3}+324y^{4}$

Applying common factor $4y^{2}$ :

$4y^{2}(4x^{2}-36xy+81y^{2})$

Note the polynomial inside the parenthesis is a perfect square trinomial, which can be factored to $(2x-9y)^{2}$ . Hence, the final simplification is:

$4y^{2}(2x-9y)^{2}$

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3 years ago

Fine the 25th term of an arithmetic progression 12,16,20,24,<br>

GuDViN [60]

Answer:

108

Step-by-step explanation:

The n th term of an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 12 and d = 16 - 12 = 4, thus

$a_{25}$ = 12 + (24 × 4) = 12 + 96 = 108

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3 years ago

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What is the binomial therom ?

Flauer [41]

Answer:

Binomial theorem, statement that for any positive integer n, the nth power of the sum of two numbers a and b may be expressed as the sum of n + 1 terms of the form.

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Y + 2 = -3(x - 4). What is the slope?

VARVARA [1.3K]

Answer:

m=-3

Step-by-step explanation:

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3 years ago