Determine the function f ( x ) , Mathematics

Assignment Help:

Determine the function f ( x ) .

            f ′ ( x )= 4x3 - 9 + 2 sin x + 7ex , f (0) = 15

Solution

The first step is to integrate to fine out the most general possible

f ( x ) = ∫ 4x3 - 9 + 2 sin x + 7ex

= x4 - 9 x - 2 cos x + 7ex + c

Now we contain a value of the function therefore let's plug in x = 0 and determine the value of the constant of integration c.

15 = f (0) = 04 - 9 (0) - 2 cos (0) + 7e0 + c

= -2 + 7 + c

= 5 +c

Thus, from this it looks like c = 10 .  it means that the function is,

f ( x ) = x4 - 9x - 2 cos x + 7ex + 10


Related Discussions:- Determine the function f ( x )

Determine centigrade equivalent for a temperature, 1. 10 -2 is equal to ...

1. 10 -2 is equal to 2. If 3n = 27, what is the value of (4n) + 1 3. What is 1/100 of 10000? 4. The formula C=5/9 x (F-32) converts Centigrade temperature from Fa

Partial differential equations, I need expert who can solve 10 set of PDE w...

I need expert who can solve 10 set of PDE with constant of integration.

What is the product of the two numbers in terms of x, A number, x, increase...

A number, x, increased through 3 is multiplied by the similar number, x, increased by 4. What is the product of the two numbers in terms of x? The two numbers in terms of x wou

What is uniform distribution, Q. What is Uniform Distribution? Ans. ...

Q. What is Uniform Distribution? Ans. A distribution is the set of possible values of a random variable considered in terms of their theoretical or observed frequency. Th

Math, there is 22 owls . my mom gave me 6 more . how many owls do they have...

there is 22 owls . my mom gave me 6 more . how many owls do they have

Angles, samuel left mauritius at 22:30 on saturday and travelled to london ...

samuel left mauritius at 22:30 on saturday and travelled to london (GMT) for 14h30min he had a stopover for 4 h in london and he continued to travel to toronto for another 6h20min

Interpretation of r – problems in interpreting r values, Interpretation of ...

Interpretation of r - Problems in interpreting r values A high value of r as +0.9 or - 0.9 only shows a strong association among the two variables but doesn't imply that th

Parabola, write the equation of parabola of vertex(2,-3)and focus(_1,1)

write the equation of parabola of vertex(2,-3)and focus(_1,1)

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd