Calculate the exact area of f(x)=3x^2 +1 [-5,0] by taking the limit of right Riemann sum as the number of rectangles (n) goes to infinity. I included some known/ given Riemann Rn identities

Q: 13 Which function can the chart below belong to? A) y = x^ {1/3} (y =x to the {1/3}) t0 13 - B) y =…

A: In option A, the given function is y=x13 The table of values is: x y -1 -1 0 0 1 1 2 1.26…

Q: Find the limit: x->0  2 sin2 3x / 3x2

A:

Q: let                    x^2+1   if x is less than 1 f(x)=                   x+1        if x is…

A: Consider the given function fx=x2+1  if x<1x+1   if x≥1. The point is x = 1. Obtain the left hand…

Q: 2 (and tige)+ QUA 10121 (K²³-24^²) du + 2nydy = 0 [Ans: ntly //^)=e] C] (este wh(eren) sh((E Nb (…

A:

Q: how did you get y^2-4xy to y-4x when there are three y's on top I input the numbers and got 0 which…

A:

Q: Use the mean value theorem to prove e^x>1+x  ; for all x in R

A:

Q: – (In x)" = 0 –1

A:

Q: Evaluate the improper integrals or show that they diverge. Make careful use of limit notation. (a)…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: What is the domain of: g(t) = square root of 1-4^t   Written in interval notation   * I got infinite…

A: The given function is

Q: What is Limit of 4 Superscript x Baseline cosine (pi x) as x approaches negative 2?

A:

Q: Estimate the area under the graph of f(x)= 7 +4x^2 from x = -1 to x = 2 using both three rectangles…

A: All the Riemann sum are given as follows:

Q: how do we identify the minimum and maximum value of the graph of a function at a given intetval?

A:

Q: Find the area under the graph of f(x)=1+x^2 and from x=-1 to x=2 a) Use 3 rectangles and right…

A: All the parts have been done.

Q: limit as x approaches 0+ (in the positive direction) of the function (sqrtx)^x

A: Given, f(x)= (sqrt x)^x= xx/2 = eln(x^(x/2)) = e(xln(x))/2

Q: How is l'hopital's rule used for 1^infinity?

A:

Q: The function f(x)=4e^x is defined over the interval [-2,3]. Appproximate the area A by partitioning…

A:

Q: What is a function f(n) where f(n) ∈ o(n^2) but where f(n) ̸∈ O(n^2-ε)? Please explain with an…

A: Given, f(n)∈o(n2) The function fn is, fn≤crn3 Since, c1>0 and ∀n≥n0 And fn≥n2-ε for c2>0 and…