Question

Let f(x) = x 2 + ax + 2. Find the values of a such that...

Let f(x) = x 2 + ax + 2. Find the values of a such that f(x) > 0 for every x.

Math   Precalculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

we are given

We can find discriminant

a=1

b=a

c=2

For f(x) >0 , leading coefficient must be positive and D must be negative

leading coefficient =1...which is positive

so,

now, we can find solution

and we get

...........Answer

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let F be a field and Aff(F) := {f(x) = ax + b : a, b...
Let F be a field and Aff(F) := {f(x) = ax + b : a, b ∈ F, a ≠ 0} the affine group of F. Prove that Aff(F) is indeed a group under function composition. When is Aff(F) abelian?
Let f(x)=x^2- lnx. Find the local maximum and minimum values of f by using the Second...
Let f(x)=x^2- lnx. Find the local maximum and minimum values of f by using the Second Derivative Test.
Let f(x) = x 1/2 (3−x). Find the absolute maximum and absolute minimum values of the...
Let f(x) = x 1/2 (3−x). Find the absolute maximum and absolute minimum values of the f(x) on the interval [1, 3].
let f(x)= /4x-3/ i) find f'(x) ii) find the x-values where f(x) is continuous (interval notation)...
let f(x)= /4x-3/ i) find f'(x) ii) find the x-values where f(x) is continuous (interval notation) iii) find the x-values where f(x) is differentiable (interval notation)
For what values of a (if any) does the boundary value problem x'' + ax' =...
For what values of a (if any) does the boundary value problem x'' + ax' = 0, x(0) = 0, x(π) = 0 have nontrivial (i.e. nonzero) solutions Hint: In order to solve, divide the problem into three cases 1. If a > 0. In this case let a = b^2. 2. If a < 0. In this case let a = −b^2. 3. If a = 0.
For what values of a (if any) does the boundary value problem x'' + ax =...
For what values of a (if any) does the boundary value problem x'' + ax = 0, x(0) = 0, x(π) = 0 have nontrivial (i.e. nonzero) solutions Hint: In order to solve, divide the problem into three cases 1. If a > 0. In this case let a = b^2. 2. If a < 0. In this case let a = −b^2. 3. If a = 0.
Let f be the function defined by f(x)=cx−5x^2/2x^2+ax+b, where a, b, and c are constants. The...
Let f be the function defined by f(x)=cx−5x^2/2x^2+ax+b, where a, b, and c are constants. The graph of f has a vertical asymptote at x=1, and f has a removable discontinuity at x=−2. (a) Show that a=2 and b=−4. (b) Find the value of c. Justify your answer. (c) To make f continuous at x=−2, f(−2) should be defined as what value? Justify your answer. (d) Write an equation for the horizontal asymptote to the graph of f. Show the...
Find the minimum and maximum of F(x)=x^3-ax
Find the minimum and maximum of F(x)=x^3-ax
a) The function f(x)=ax^2+8x+b, where a and b are constants, has a local maximum at the...
a) The function f(x)=ax^2+8x+b, where a and b are constants, has a local maximum at the point (2,15). Find the values of a and b. b) if b is a positive constand and x> 0, find the critical points of the function g(x)= x-b ln x, and determine if this critical point is a local maximum using the second derivative test.
The r.v. X has the probability density function f (x) = ax + bx2 if 0...
The r.v. X has the probability density function f (x) = ax + bx2 if 0 < x < 1 and zero otherwise. If E[X] = 0.6, find (a) P[X < 21] and (b) Var(X). (Answers should be in numerical values and not be as expressions in a and b.)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT