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3 years ago

Need help with just number 5

Mathematics

1 answer:

antoniya [11.8K]3 years ago

3 0

Answer:

i think the first one is the distributive property...i know that's not very helpful but it's the only one i could figure out

it's distributive because it is multipying everything in the second brackets by everything in the first brackets

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Evaluate the integral. (Assume a ≠ b. Remember to use absolute values where appropriate. Use C for the constant of integration.)

Bess [88]

Answer:

F(x)= 5*[ $\frac{x^{3} }{3}$ + (a*b)* $\frac{x^{2} }{2}$ + a*b*x + C.

Step-by-step explanation:

First step we aplicate distributive property to the function.

5*(x+a)*(x+b)= 5*[ $x^{2}$ +x*b+a*x+a*b]

5*[ $x^{2}$ +x*(b+a)+a*b]= f(x), where a, b are constant and a≠b

integrating we find ⇒∫f(x)*dx= F(x) + C, where C= integration´s constant

∫^5*[ $x^{2}$ +x*(a+b)+a*b]*dx, apply integral´s property

5*[∫ $x^{2}$ dx+∫(a*b)*x*dx + ∫a*b*dx], resolving the integrals

5*[ $\frac{x^{3} }{3}$ + (a*b)* $\frac{x^{2} }{2}$ + a*b*x

Finally we can write the function F(x)

F(x)= 5*[ $\frac{x^{3} }{3}$ + (a*b)* $\frac{x^{2} }{2}$ + a*b*x ]+ C.

4 0

3 years ago

Convert to to decimal : 83/10

Damm [24]

Answer: 8.3

Explanation:

8 0

3 years ago

Read 2 more answers

. If the perimeter of a rectangle is 18x + 4 what is the length of the missing side? 2X-3

bekas [8.4K]

Answer:

Step-by-step explanation:

Let the length b y

Width = 2x - 3

Perimeter = 18x + 4

And

Perimeter = 2(l + w)

18x + 4 = 2(y + 2x - 3)

Dividing through by 2

9x + 2 = y + 2x - 3

Making y as subject

y = 9x - 2x + 2 + 3

y = 7x + 5

The missing side is 7x + 5

8 0

3 years ago

What is the volume of a hexagonal pyramid with a base area of 96 cubic mm and a height of 15mm?

masha68 [24]

Answer:

Step-by-step explanation:

Volume = (base area × height)/3

base area = 96, h = 15

V = (96 × 15)/3

V = 480cubic mm

8 0

3 years ago

812,000,006 in expanded form

cestrela7 [59]

8x100,000,000+1x10,000,000+2,000,000+6x1

5 0

3 years ago