Using the x coordinates, -2, -1.5, 0, 3, 3.5, 4, find the interpolating polynomial that fits the function sin(x). Use Lagrange method.

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

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

Q: 9. Use the product rule to find and state the rule for dif- ferentiating a product of three…

A: The product rule of differentiation is given by,…

Q: Use the function f (x ) = 3sin(2x - π) to answer the questions.

A: Let's solve.

Q: i = √ √ 3x² (x³ + 1)²³ dx, w= x³+1 Rewrite the Function in terms of u

A: The objective of the question is evaluate the definite integral and rewriting the integral.

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: snip

A:

Q: Identify the end behavior of the function f(x)=-x° + 3x² +x² – 3x to the left and to the right…

A: Given, f(x)= -x⁶+3x²+x²-3x

Q: Calculate Duf (2₁-4,1) in the direction of 9 = 2₁ +2²₁ +3k for the function f(x, y, z) = x² +…

A:

Q: Find all zeros of the function f(x) = 4x 16x? – x + 4. Enter the zeros separated by commas.

A:

Q: = x? – 5x + 7 has roots a and B. Use symmetric Suppose that f(x) functions to find a + B, aß, a² +…

A: If we have a quadratic equation ax2+bx+c=0 and α and β are the roots then: α+β=-ba αβ=ca We can use…

Q: Evaluate f +3 /1+x4 3 dx.

A:

Q: Find all zeros of the function f(x) = 4x° + 28² + 8x – 160. Enter the zeros separated by commas. -

A:

Q: Use the pair of functions to find f(g(x)) and g(f(x)). Simplify your answers.   f(x)=x−−√x+8,…

A: Given: fx=x-x+8 and gx=x2+9 The objective is to find f(g(x)) and g(f(x)).

Q: f(x) = 3 – 2x +x

A:

Q: 5x°+7x Differentiate f(x) - using quotient rule. %3D 2x2-4x+5

A:

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

A:

Q: Find the inverse. f(x)= (x-a)^3/b   - c. Thank you, and God bless

A: Given query is to find the inverse.

Q: Determine the real root of f(x) = x³ – 9x + 1 using false position method. Use 2 and 3 as a and b,…

A:

Q: -2 -1 0 1 3 5 6

A:

Q: A variable circle passes through the point A(a, b) and touches the x-axis. Show that the locus o the…

A:

Q: Let ​f(x)=−4x+6. find f(-x)

A:

Q: For the function z = x3-2x2y2-2y2 Find Zx

A: Given,z=x3-2x2y2-2y2Differentiating both the sides partially w.r.t. xwe…