Sketch the graph of a continuous function on [0, 2] forwhich the Trapezoidal Rule with n = 2 is more accuratethan the Midpoint Rule.

Q: х+ 2 if x 0

A: The given function is  f(x) = x+2ifx<02x-2ifx≥0

Q: Sketch the graph of a smooth function ƒ and label a point P(a, ƒ(a)) on the curve. Draw the line…

A: The aim is to find the graph of a smooth function and represent the line which shows the linear…

Q: g (x) = In tdt %3D 1 Is this function is continuous everywhere. If not than where it's not…

A: see below the answer

Q: 67. Is the function given by g(x) 1 continuous over %3D x + 5 the interval (-4, 4)? Why or why not?

A: g(x)=1x+5

Q: Sketch the graph of a function f  that is continuouson [1, 5] and has the given properties.   f has…

A: f is continuous on [1,5]. f has no local maximum or minimum. 2 and 4 are the critical numbers.

Q: What are the local minimum and maximum values of f. If an answer does not exist, use DNE.)

A: Consider f'(x) = 0.

Q: ( 2x -. Is g(x) continuous at 2?

A:

Q: Sketch the graph of a function f that is continuous on [1, 5] and has the given properties.…

A: Given data: The absolute maximum at MA=5. The absolute minimum at mA=2. The local maximum at MB=3.…

Q: Find the largest open intervals where the function is concave upward. 16) f(x) = x3 - 3x2 – 4x + 5…

A:

Q: What is the definition of f(x) is continuous at x = a? ||

A:

Q: What is the minimum f(x) value of f(x) = sin x on the interval [0, 2]? %3!

A: Derivative Test: find values of x for which f'(x)=0 Then find f''(x) and put values pf x from above…

Q: Show that f(x) = is uniformly continuous by definition on the interval (-1,1) . 4 - *

A:

Q: Show that the function is differentiable by finding values of ε1 and ε2 as designated in the…

A: Given  f(x,y)=x2y

Q: Sketch the graph of a function f  that is continuouson [1, 5] and has the given properties.…

A: Sketch the graph of a function that is continuous defined on the interval [1,5] having the following…

Q: Suppose that  ff"' is continuous and f'(c)  =f"(c) =0 , but f"'(c) >0. Does f have a local…

A:

Q: Determine the number at which h(x) = V16 – x² is continuous. %3D | Vx²-1 Determine the largest…

A: Note that: A function is said to be a continuous function on some interval when the function is…

Q: define the function at 5 so that it becomes continuous at 5.

A: First, we rationalize the function, so that it becomes continuous at 5 which is shown on the board

Q: Come up with an example of a continuous on [0, 2] function for which the trapezoidal rule is more…

A: Let us consider a continuous function fx=cosx for x∈0,2. fx is continuous on 0,2 Now, exact value of…

Q: The graph of a function f is given. y 1 1 Determine whether fis continuous on its domain.

A:

Q: Provide an example of function f: R → R which is continuous at exactly one point and discontinuous…

A:

Q: Which of the following graph shows that f (z) = |r - 2| is continuous but not differentiable at x =…

A:

Q: Show that Jx² + 2, x 1 is continuous but not differentiable at x = 1. Sketch the graph of f.

A: fx=x2+2,x≤1x+2,x>1

Q: Determine the set of points at which the function F(x, y) = arctan ( 3x +7/y – 7 ) is continuous.

A:

Q: Determine if the given (picture attached) is continuous or not at x = -1. Identify the type as…

A:

Q: be the continuous function defined on [-6,6] whose graph consists of a quarter circle mree line…

A: the solution is clear from the graph

Q: Suppose that u(x) is a differentiable function such that

A:

Q: Determine the set of points at which the function is continuous. F(x, y) - х-у 1 + x² + y2

A:

Q: Suppose that f(1) = 2, f(4) = 8, f '(1) = 4, f '(4) = 3, and f " is continuous. Find the value of xf…

A:

Q: Where is f(a) not continuous?

A: Given:

Q: Explain, using limits, why f(x) = - is not continuous at x = 0.

A: To Determine: explain using limits why f(x)=1x  is not continuous at x=0. Given: we have a…

Q: Find the largest open interval using the tools of calculus where the function is changing as…

A:

Q: Consider the following. -8x, fx)=2- 8x + 5, X > 6 Find the x-value at which fis not continuous. Is…

A: Given function is f(x)=-3x               x≤6x2-8x+5      x>6 The function is continuous at point…

Q: find the value of c that make the function continuous

A:

Q: 2. Is the function f(x) =² continuous on the closed interval [-1, 1] ? Draw its graph illustrating…

A: Given problem:- Is the function ƒ(x) = 3/x continuous on the closed interval[−1, 1]? Draw its graph…

Q: Give a formula of a continuous function that is differentiable except at 0.

A: Consider the provided question, For a function to be continuous at a point x=a, we say that the same…

Q: Find the x-values (if any) at wvhich the function f(x)= 9x+ 3x+ 3 is not continuous. Which of the…

A:

Q: 5. Is the function given by F(x): = x = -1? Why or why not? Vx continuous at

A:

Q: please  just draw out the correct graph of a continuous function that satisfies the following three…

A:

Q: 1. Explain what it intuitively means for function f(x,y) to be continuous in some domain D.

A: To explain the meaning of the given statement.

Q: Show that x³, if x 0 is not continuous at x = 0. %3D

A: According to the problem, we have

Q: Come up with an example of a continuous on [0, 2] function for which the trapezoidal rule is more…

A:

Q: Determine local extremum f(x,g) = xy(4-x-). %3D

A:

Q: Show that the function is differentiable by finding values of ε1 and ε2 as designated in the…

A: Given function is fx,y=x2+y2.…

Q: ) Use the Intermediate Value Theorem to show that there is one such that f"(a) = 0. point x = a

A: As per our guidelines we are supposed to answer only first 3 subparts of the question. Kindly repost…

Q: Sketch the graph of a function f that is continuouson [1, 5] and has the given properties. Absolute…

A: Given: The function is continuous on [1,5] The absolute minimum is at 2 The absolute maximum is at 3…

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.