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 )

Types of infinity, TYPES OF INFINITY : Mostly the students have run across...

TYPES OF INFINITY : Mostly the students have run across infinity at several points in previous time to a calculus class. Though, when they have dealt along with this, this was jus

Calculus!, x+2y^2=63 and 4x+y^2=0; Find the area of the regions enclosed by...

x+2y^2=63 and 4x+y^2=0; Find the area of the regions enclosed by the lines and curves.

Domain and range of a relation, Consider R be a relation from A to B, that ...

Consider R be a relation from A to B, that is, take R A Χ B. Then Domain R = {a: a € A, (a, b) € R for any b € B} i.e. domain of R is the set of all the first components of

Simplification, how do we answer questions with fraction mixed. what are th...

how do we answer questions with fraction mixed. what are the easier ways to do it

Find integer if sum of two consecutive odd integers is -112, The sum of two...

The sum of two consecutive odd integers is -112. What is the larger integer? Two consecutive odd integers are numbers in order such as 3 and 5 or -31 and -29, that are each 2 n

Pair of straight line, a pair of straight lines are drawn through the origi...

a pair of straight lines are drawn through the origin forms with the line 2x+3y=6 an isoceles triangle right angled at origin find the equation of pair of straight line?

Boeing Company and Ingredient Branding Strategies, . The Boeing Company ma...

. The Boeing Company makes a number of different types of aircraft for the commercial airline industry, e.g., the 727, 747, 757, 767, and 777 jet models. Is there any way for Boei

Unconditional and conditional probability, Independent and Dependent Events...

Independent and Dependent Events Two events A and B are independent events if the occurrence of event A is in no way related to the occurrence or non-occurrence of event

Regression - measures of relationships, Regression - Measures of Relationsh...

Regression - Measures of Relationships - It is a concept that refers to the changes which happen in the dependent variable as a result of changes happens on the independent va

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