Let f(x)= x^4 + ax^2 +b. The graph of f has a relative minimum at (0,1) and an inflection point when x=1. The values of a and b are...I AM EXTREMELY DESPERATE I NEED THIS ANSWER!!!

Answers

Answer 1
Answer: f(x)=x^4+ax^2+b\nf'(x)=4x^3+2ax\nf''(x)=12x^2+2a\nf''(1)=12(1)^2+2a\n12(1)=-2a\na=-6\n\nf(x)=x^4-6x^2+b\n(1)=(0)^4-6(0)^2+b\nb=1

a=-6
b=1

Related Questions

Which type of sampling method is being employed in the following example? A study is being conducted of all schools in Gwinnett County. One student's parents from each school is randomly selected and asked in a survey what they think of Gwinnett County Public Schools.Simple Random SamplingStratified SamplingCluster SamplingSampling of ConvenienceSystematic Sampling
Pls help its the last question
What is the factored form of x^2 - 49?
5What is shape of base?Name the shape:
Which quantity would not be labeled with a vector?A. kilometers/hour B. miles/hour C. miles/gallon D. centimeters/second

What is the first step when rewriting y = –4x2 + 2x – 7 in the form y = a(x – h)2 + k?A.2 must be factored from 2x – 7

B.–4 must be factored from –4x2 + 2x

C.x must be factored from –4x2 + 2x

D.–4 must be factored from –4x2 – 7

Answers

complete the square

first, the coeieicne infront of x^2 term musbe 1
so if you have
y=ax^2+bx+c
isolate x terms and undistribute a
y=a(x^2+(b/a)x)+c

B is answer

Answer:

B

Step-by-step explanation:

Right on Edge

Solve by the multiplication of equality 5/49*x = 20/7

Answers

5/49(x) = 20/7 
5x/49 = 20/7
5x/49 × 49  = 20/7 × 49
5x  = 140
5x / 5  = 140 / 5
x = 28


What is the result?

∫([1/x].dx/x^3)
D=[1/2, 1]

Answers

\displaystyle\int_(.5)^1\frac{1}x(dx)/(x^3)=\int_(.5)^1(dx)/(x^4)=\left[(-1)/(3x^3)\right]_(.5)^1=\frac{7}3

[Your notation is not 100% clear since you're not using the math tool, so if that's not what you meant, leave a comment and I'll correct the answer.]

PLEASE HELP 15 POINTS WILL GIVE BRAINLYDiego says a quadrilateral with four congruent sides is always a regular polygon. Mai says it never is one. Do you agree with either of them?
Diego is correct
Mia is correct
Both are wrong. If a quadrilateral with 4 congruent sides also has 4 right angles, then it will be a regular polygon.

Answers

A regular polygon all the angles, as well as all the sides, are equal.

Diego's claim is the quadrilateral with four congruent sides is always a regular polygon. He is only mentioning that the sides are equals.

He has not mentioned anything about the angles, the angles may or may not be equals.

In the case, if all the angles are equal too, then the claimed quadrilateral will be a regular polygon as shown in figure(a).

So, for this case, Diego's claim is correct while  Mai's claim is also wrong.

While if all the angles are not equal, then the claimed quadrilateral will not be a regular polygon as shown in figure(b).

In this case, Diego's claim is wrong while Mai's claim is correct.

So, overall, considering both the case together, none of them have the correct claim.

So, both are wrong.

-2 divided -0.25
4 divided 0.5

Answers

Answer:

-2/-0.25=8

4/0.5=8

Step-by-step explanation:

both of their answers are 8

- 2 divided by -0.25
4 divided by 0.5
Both of them equal 8

What is the sum of a number and 37?

Answers

Answer: 18 and 19

Step-by-step explanation:

If you are wondering what two numbers equal 37, it would be 18 and 19. However, if this is not what you were asking, please elaborate and I will answer.