Question

Write a polynomial f(x) of degree 5, with integer coefficients, and with zeros -2 (multiplicity 2), 6, and 2i.

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Other

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: I need to compute each limit. The limit is ... lim x -> -3 x2 + x - 6 ————— x3 + 27

A: Given,

Q: Find the centroid of the region bounded by the graphs of y = x + cos x and y = 0 for 0<=x<= 2p...

A: Graph is given below:

Q: The processing of raw sugar has a step called “inversion” that changes the sugar’s molecular structu...

A: Let y denote the amount of raw sugar remaining in the processing.Since the rate of change is proport...

Q: find a parametrization for the curve.  1.the lower half of the parabola x - 1 = y2 2. the left half ...

A: (1)Find the parameterization for the parabola equation

Q: Find the binomial series for the functions in Exercises 11–13. 11. (1 + x)4 12. (1 - 2x)3  13. (1 + ...

A: As per our norms, I am going to solve only one question as you have posted multiple question so plea...

Q: What substitutions are sometimes used to transform integrals in-volving sqrt(a2 - x2), sqrt(a2 + x2)...

A: Formulas for the given type of forms is shown below:

Q: Find Taylor series at x = 0 for the functions  1/1 +x^3

A: Calculate the Taylor series for the function.Provide the function as shown below: 

Q: If possible, solve for 3A + 2B

A: Using basic operation of multiplication and addition of matrices to solve the given expression.First...

Q: How would you compare the relative merits of Simpson’s Rule and the Trapezoidal Rule.

A: Compare the relative merits of Simpson’s rule and the Trapezoidal rule as given below in the Table

Q: What does it mean when a function does not have any critical numbers. Please explain ALL possibiliti...

A: Critical numbers for any function are defined as the real number x in the domain of the function whe...

Q: What is the exact value for cos(cos-1(1))

A: Click to see the answer

Q: y′=2y−1,y(0)=1y′=2y−1,y0=1      Hint: y1 = (1 + 2h)/2 + 1/2

A: Given,

Q: How is the natural logarithm function defined as an integral? What are its domain, range, and deriva...

A: Explanation:

Q: (3x + 4x + 5) dx (a) Find the Riemann sum for this integral using right endpoints and n = 3. 454 (b)...

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: The region in the first quadrant that is bounded above by the curve y = 1/x^(1/4), on the left by th...

A: Graph the situation using graphing calculatorWe have to rotate the shaded region.

Q: y′=2x/(1+2y),y(2)=0

A: To determine the solution of the initial value problem and determine its maximum value.

Q: The life expectancy in years of a component in a microcomputer is exponentially dis-tributed, and 1/...

A: Click to see the answer

Q: Find Power Series representations of the following functions (a) f(x) = 3x12 – æ5 f(x) = In(x +1) (b...

A: (a)Given

Q: Find the X and Y intercepts of  y= 1 - the square root of 1 -x2

A: Given,

Q: I can't find C, D, and E

A: Click to see the answer

Q: Let ƒ(x) = c/(1 + x2) . Find the value of c so that ƒ is a probability c density function. If ƒ is a...

A: Write the given expression and simplify it using the definition of probability density function.

Q: Consider the infinite region in the first quadrant bounded by the graphs of y = 1 /sqrt(x) , y = 0, ...

A: Given information:

Q: Find the derivative of the following function s2 ds Vĩ 2 + 5s4 F(x) = using the appropriate form of ...

A: Given

Q: Find the center of gravity of the region bounded by the x-axis, the curve y = sec x, and the lines x...

A: Consider the given question,The graph of the curve y = sec(x) and the line x = -pi/4, x = -pi/4 is d...

Q: use I=60/13(1-e-13t/5) to express the time t as a function of the current I

A: The given function of I as a function time t is as follows.

Q: Find parametric equations for the semicircle x2 + y2 = a2, y> 0, using as parameter the slope t =...

A: Click to see the answer

Q: What is a monotonic sequence? Under what circumstances does such a sequence have a limit? Give examp...

A: The monotonic sequence theorem:

Q: Consider an object moving along a line with the given velocity v. Assume t is time measured in secon...

A: To determine when the motion is in positive direction and when it is in the negative direction.The v...

Q: What values of p have the following property: The area of the region in the first quadrant enclosed ...

A: GivenThe area of the region in the first quadrant enclosed by the curve y = x^-p, the y-axis, the li...

Q: What do you know about rearranging the terms of an absolutely convergent series? Of a conditionally ...

A: Click to see the answer

Q: _The Cauchy-Schwarz Inequality states .+ a%)(b} + b3 + ...+ b,) (a,b1 + azb2 + ...+ a,bn)? < (aỉ + a...

A: Given

Q: A deep-dish apple pie, whose internal tempera-ture was 220°F when removed from the oven, was set out...

A: Newton’s law of cooling:

Q: Consider the region bounded by the graphs of y = sqrt(x tan-1 x) and y = 0 for 0 &lt;=x&lt;= 1. Find...

A: Given,

Q: Use a graphing utility to graph the function and estimate the limit. Use a table to reinforce your c...

A: The graph has been plotted using the graphing utility as asked in the question.

Q: A tank initially contains 120 L of pure water. A mixture containing a concentration of γ g/L of salt...

A: A tank initially contains 120 L of pure water. A mixture containing a concentration of γ g/L of salt...

Q: (3x2 − 2xy + 2) + (6y2 − x2 + 3)y′ = 0

A: Given that(3x2 − 2xy + 2) + (6y2 − x2 + 3)y′ = 0(3x2 − 2xy + 2) + (6y2 − x2 + 3)(dy/dx) = 0(3x2 − 2x...

Q: What is the law of exponential change? How can it be derived from an initial value problem? What are...

A: To define the law of exponential change and derive it from initial value problem.

Q: Find the centroid of the region bounded by the x-axis, the curve y = sec x, and the lines x = -pai/4...

A: Consider the graph. The graph is symmetric across x = 0. 

Q: Let P be an approximation of pai accurate to n decimals. Show that P + sin P gives an approximation ...

A: Substitute the value of P in |f(x)|.

Q: The business manager of a 90 unit apartment building is trying to determine the rent to be charged. ...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: determine whether the following statements are true or false  1. if z=f(y) and y= g(x) then dz/dx= d...

A: Click to see the answer

Q: y′ = cos2(x) cos2(2y)

A: Click to see the answer

Q: Solve the equation. e4x+4e2x-21=0

A:  Let us suppose y = e2x, substitute the value of y in the given equation:

Q: Find parametric equations and a parameter interval for the motion of a particle starting at the poin...

A: Given,

Q: Hi, I have some homework for my calculus class that I can't figure out. I worked it out and got it w...

A: Given,

Q: What integral equation is equivalent to the initial value problem y′ = ƒ(x), y(x0) = y0?

A: Write y'= dy/dxThen separate the variables.

Q: Given cost and price functions C(q)=120q+45,900 and p(q)=-2.3q+840, what price must the company set ...

A: The given cost and price functions are as follows.

Q: Solve the initial value problem and determine where the solution attains its maximum value.

A: Given, the initial value problem

Q: Consider the initial value problem y′+12y=2 cos t,y(0)=−1. Find the coordinates of the first local m...

A: Given:

Q: Find the volume generated by revolving one arch of the curve y = sin x about the x-axis.

A: Let the bounds of one arch of the sine curve be 0 and pi. Then, the volume generated by revolving on...