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 )

Sequencing., how to select out time for m2

how to select out time for m2

Prove the boolean expression, Prove the subsequent Boolean expression: ...

Prove the subsequent Boolean expression: (x∨y) ∧ (x∨~y) ∧ (~x∨z) = x∧z Ans: In the following expression, LHS is equal to:   (x∨y)∧(x∨ ~y)∧(~x ∨ z) = [x∧(x∨ ~y)] ∨ [y∧(x∨

Find the shortest weighted paths, 1. Answer the questions about the graph b...

1. Answer the questions about the graph below. a. Name one cycle that begins and ends at B. b. True/False - the graph is strongly connected.  If not, explain why not.

Prove that ar= 3/7 ac of parallelogram , ABCD is a parallelogram in the giv...

ABCD is a parallelogram in the given figure, AB is divided at P and CD and Q so that AP:PB=3:2 and CQ:QD=4:1. If PQ meets AC at R, prove that AR= 3/7 AC. Ans:    ΔAPR ∼ Δ

Examples of complex numbers, Following are some examples of complex numbers...

Following are some examples of complex numbers. 3 + 5i                                                 √6 -10i (4/5) + 1           16i                     113 The last t

Find out the length of hamiltonian path, Find out the length of Hamiltonian...

Find out the length of Hamiltonian Path in a connected graph of n vertices. Ans: The length of Hamiltonian Path in a connected graph of n vertices is n-1.

Determine the function f ( x ) , Determine the function f ( x ) .       ...

Determine the function f ( x ) .             f ′ ( x )= 4x 3 - 9 + 2 sin x + 7e x , f (0) = 15 Solution The first step is to integrate to fine out the most general pos

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