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2 years ago

Per

Mathematics

1 answer:

morpeh [17]2 years ago

6 0

Answer:

5 11/13km

Step-by-step explanation:

4 ( 1 6/13)

4× 19/13

= 5 11/13

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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

The graph of y = - 1/2x +2 is positive over the interval (-♾,4) and negative over the interval (4,♾). What happens on the graph

SCORPION-xisa [38]

Answer:

There is no solution when x=4

Step-by-step explanation:

By drawing the graph, we can see that x = 4 is a vertical asymptote. An asymptote is a line in which the graph approaches it but never meets it. As a result, the graph will never approach x=4. This means there is no solution at x = 4

5 0

3 years ago

Which ones are true?

zloy xaker [14]

Answer:

The last three answers.

Step-by-step explanation:

4 0

3 years ago

Please Help Me!!!! :)

OlgaM077 [116]

Answer:

$28

Step-by-step explanation:

S = Shirt N = Shoes

N = S + 17

N is equal to 45

45 = S + 17

S = 28

5 0

3 years ago

Read 2 more answers

A 30-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 32 m. Find the length

zepelin [54]

Answer: 11.1 m

Step-by-step explanation:

This can be solved by the Pythagorean theorem where;

c² = a² + b²

c is the hypotenuse which is the distance from the top of the building to the tip of the shadow.

a is the height

c is the length

32² = 30² + b²

b² = 32² - 30²

b² = 1,024 - 900

b² = 124

b = √124

b = 11.1 m

7 0

3 years ago