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4 years ago

X = 2y + 4: line equation: please help me

Mathematics

1 answer:

choli [55]4 years ago

8 0

This is how it would look on a graph.

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Find f. (Use C for the constant of the first antiderivative and D for the constant of the second antiderivative.)

sashaice [31]

Answer:

$f(x) = x^3 -sinx +Cx+D$

Step-by-step explanation:

Given that:

$f ''(x)= 6x +sinx$

We are given the 2nd derivative of a function f(x) and we need to find f(x) from that.

We will have to integrate it twice to find the value of f(x).

Let us have a look at the basic formula of integration that we will use in the solution:

$1.\ \int {(a\pm b)} \, dx =\int {a} \, dx + \int {b} \, dx \\2.\ \int {x^n} \, dx = \dfrac{x^{n+1}}{n+1}+C\\3.\ \int {sinx} \, dx = -cosx+C\\4.\ \int {cosx} \, dx = sinx+C$

$\int\ {f''(x)} \, dx =\int\ {(6x +sinx)} \, dx \\\Rightarrow \int\ {6x} \, dx + \int\ {sinx} \, dx \\\\\Rightarrow 6\dfrac{x^2}{2} -cosx +C\\\Rightarrow 3{x^2} -cosx +C\\\Rightarrow f'(x)=3{x^2} -cosx +C\\$

Now, integrating it again to find f(x):

$f(x) =\int {f'(x)} \, dx =\int{(3{x^2} -cosx +C)} \, dx \\\Rightarrow \int{3{x^2}} \, dx -\int{cosx} \, dx +\int{C} \, dx\\\Rightarrow 3\times \dfrac{x^3}{3} -sinx +Cx+D\\\Rightarrow x^3 -sinx +Cx+D\\\\\therefore f(x) = x^3 -sinx +Cx+D$

5 0

4 years ago

Mark knows the expression 24 + 4x can be rewritten as 4(6 + 4) x he claims that four is the only whole number greater than one t

Katena32 [7]

Answer:

4(6 + x)

Step-by-step explanation:

5 0

3 years ago

Convert the angle theta=7/4pi radians to degrees

bagirrra123 [75]

7/4pi multiplied by 180/pi give you about 97 degrees when you calculate it.

7 0

3 years ago

If mLP = 17 in., and mNP = 4 cm, mLN = ____ ??

dangina [55]

Answer: 13

Step-by-step explanation: 17-4=13

5 0

3 years ago

A circular mirror has a diameter of 12 inches what is the are in square inches of the mirror?

pochemuha

The area of a circle is <u>(pi) x (the circle's radius)</u>²

The circle's radius is (1/2) of (its diameter).

Area = (pi) x (12/2 inches)² =

(pi) x (6 inches)² =

(3.14) x (36 square inches) = <em>113 square inches</em> (rounded)

6 0

3 years ago