Interagӑo xi xf F(xi) F(xr) F(xi).F(xr) Ea xr 2 3 4

Q: x' + x – 12x +1 dx. - Determine x +x –12

A: Using long division: x3+x2-12x+1=xx2+x-12+1

Q: Consider the function y = (1x + 1)x. (a) Differentiate y by the product rule. (b) First, multiply…

A: (a) Differentiate y by the product rule as follows: dydx=ddxx+1x      =ddxx+1x+ddxxx+1      =1·…

Q: Differentiate the function f(x) =x*(1– 4x²)³. Express your answer in simplified, factored %3D Torm.

A: We can find the answer as below.

Q: Explain the problems with the Lagrange form of the interpolating polynomial?

A: Lagrange polynomials are used for polynomial interpolation.

Q: Determine the real root of f(x)=x*-8x³-35x²+450x -1001. Using false-position method to locate the…

A: For the given function, f(x)=x4-8x3-35x2+450x-1001 The formula for false-position method is given…

Q: Thre remainder when the function f(x)=x^3+4x^2-4x-16 is divided by x-2 is 0. Find all the other…

A: Given function is fx=x3+4x2-4x-16. It is given that when function fx=x3+4x2-4x-16 is divided by x-2…

Q: Find the domain of the square root function and express in INTERVAL NOTATION f(x) = v-3x –- 8

A: The function is given by fx = -3x-8 To evaluate : The domain of the function

Q: calculate the value of f(-3) for the function f(x)= -4x^2 b) How many roots does the function f(x) =…

A:

Q: I need to find the max and min of sqrt(1-x)+sqrt(1+x).

A:

Q: Plot the zeros of each polynomial on a line together with thezeros of its first derivative. y = x2 +…

A:

Q: How many real roots does the function f(x) = x 9 - 20x + 1 have? Find their approximate locations.

A: The best way to locate the number and nature of real roots will be to plot the equation.

Q: Use synthetic division to solve: Show your work for credit. x' - 4x* – 2x' + 4x? +x = 0 Hint: This…

A:

Q: What is the axis of symmetry for the equatiin: f(x)=2(x+1)^2+1

A: f(x)=2(x+1)2+1As a first step, we need to compare this equation with the equation of a parabola in…

Q: Which rule is faster to use to differentiate f (2)=(22) (*) ? Use the Product Rule O Simplify to 3…

A:

Q: dx 2x? + 5x +1

A: Solution:given   ∫dx2x2+5x+1formula∫dtt2-a2=12aln|t-at+a|+c

Q: For the problem, find a.  f of g  b. g of f  c. f of f d. g of g f(x) = 3x+1 and g(x) = x^2

A: To determine the expressions for the composite functions.

Q: Find the zeros of f(x) = x^2 − 6x + 10. Then, compute x1/x2 where x2 is the zero with positive…

A:

Q: A right triangle cylinder has a base diameter (d). Express the volume (v) of the cylinder as a…

A:

Q: [22] Express the function as a product by factoring the right-hand side: f(x)= x' +x² – 4.x - 4.

A: We have to express the given function as a product by factoring the right hand side: fx=x3+x2-4x-4…

Q: ind the domain and range of f(x) = x/(√x2 - 1) x2  - 1is all under the square root Then sketch a…

A:

Q: If f(x) = 3x5 +4, then what is the remainder when f(x) is divided by x - 2?

A:

Q: Determine the real root of f(x)=x4-8x3-35x2+450x -1001. Using false-position method to locate the…

A: Solution : Consider the following function, Use false position method and consider the following…

Q: Find the domain of the function (x) = 1/∣x + 3∣

A: The given function is fx=1x+3. To find the domain of function. Solution: The given function is…

Q: When differentiating functions, how do you get the answer to the square root of (1-x2)?

A: The given function is,

Q: Sand pouring from a container forms a conical pile whose height is equal to the diameter. If the…

A: Note: According to our guidelines we can answer only 5th question