3. Match the rule or formula's name with its characteristics by writing the lowercase letter on the line. M(b − a)³ 24n² A. Midpoint Rule B. Trapezoidal Rule C. Simpson's Rule D. Error bound for Midpoint Rule E. Error bound for Trapezoidal Rule F. Error bound for Simpson's Rule a. Error < Ax b. - (f(xo) + 4f(x₁) + 2ƒ(x₂)+...+4f(xn-1) + f(n)) 3 c. Error d. Σ f(m;)Δα i=1 e. M (b − a)5 180n4 f. Error where M = max(f"(x)) Ax - (f(xo) +2f(x₁) +2ƒ (x₂)+ ...+2f(xn-1) + f(n)) 2 M(b-a)³ 12n² " where M = max(|ƒ(4)(x)|) where M = max(f"(x))

Q: -3z + 4, a < -2 22 - 2, 2-2 18. If f(x) = find f (-2). || A. 10 В. 2 C. -2 D. -6

A: Given function is fx=-3x+4, x&lt;-2x2-2    ,x≥-2.

Q: Find the points on the graph where the tangent line to the curve (x2 + y²)² = 10 (x² – y²) + 8 is…

A: The given curve is, x2+y22=10x2-y2+8 The graph of this curve is as follows,

Q: 6. For the function f(x) =x +3x? –2 (a) State the domain. (b) Determine y-intercept. (c) ) Determine…

A: Note : As per the authoring guidelines, when multiple subparts are posted, then only first three…

Q: Find all the numbers for which f(x)20 if ƒ(x)= x* +2.x² +x² – 2x – 2. a. x>1. b. 지2-1. c. -1<x<1. d.…

A: First, draw the graph of f(x)=x4+2x3+x2-2x-2 . If the graph of f(x) is above the X-axis for the…

Q: 3.) For the functions f (x) = v16 – x and g(x) = 2x – 8 find (x) and give its domain in interval -…

A: It is known that fgx=fxgx.

Q: 7. Find all inflection points for y=-2xe-x²/2, and determine the intervals where the function is…

A:

Q: 10. For the function f(x) = x³ 3x² - 9x (a) Find the intercepts. Show work. Round to two decimal…

A:

Q: 8. For f(x, y) == xex²y Find fx (1, 2) {needs product rule}

A: Explanation and some important formulas:

Q: 11b. Consider the function f(x)=5x* – 4x³ +4. Isƒconcave up or down at the point x = -0.2? A.

A:

Q: d2y at the point (2,) 48. Given yax-i.find -1, find - at the point|2, ах x

A: Given:The function y2x2 = 1.The point (2,1/2).

Q: 1. Match the rule or formula's name with its characteristics by putting the lowercase letter on the…

A: Consider the following