Let f(x) = √3x² + 1. Express both the endpoint sums L20 and R20 over the interval [1, 6] in sigma notation (but do not evaluate them). (You do not need to simplify the summand in your expression.)

Q: 9. Let F be the function such that F (n) is the sum of the first n positive integers. Give a…

A:

Q: The diagram below shows upper and lower sums for the function 3. f (a) = 2/1- ai %3D using 4…

A: Given Function f(x)=21-x32 Given Interval=[a,b]=[0,1]; n=4 subintervals ∆x=b-an=1-04=0.25 so, the…

Q: 4. Let f(x) = 4x22/3-19x71/11 Determine the largest n for which f E C". %3D

A:

Q: The diagram below shows upper and lower sums for the function f(x)=√√x+1 using 4 subintervals. Use…

A: given function

Q: Evaluate the upper and lower sums for f(x) = 2 + sin x, 0<x< T, with n = 2, 4, and 8.

A:

Q: Use: F(x)= 0.2((x-3)^2)(x+1), bounded by the x axis, over [-1,2] Calculate the the Riemman Sum using…

A: The given function is,

Q: Use the Mean value Theorem to prove that 1/9 ≤ √66 - 8 ≤ 1/8

A: Use the Mean value Theorem to prove that

Q: Use the definition of area as a Riemann sum (as we did in Section 4.4) to compute the area between…

A: The area under the curve over the interval  is  Here

Q: Approximate the area under the graph of F(x)=0.6x³ +6x² -0.6x-6 over the interval [-8,-3] using 5…

A: F(x)=0.6x3+6x2-0.6x-6 a=-8b=-3n=5

Q: P(x) = . Let and let = 10. Find P(9) x!

A: We have to find p(9)

Q: If Z~N(0,1), then what is Pr(-0.09 < Z < 2.54)? You can use Excel. Enter your answer as a decimal…

A: We have to find given probability

Q: Use rectangles to estimate the area under the graph of ƒ(x) = 4 − x², above the x-axis and from x =…

A:

Q: for k = 235, we have n(235) = 2^2 + 3^2 + 5^2 = 38. determine whether the function n(k) is an…

A: Given, n : N→N For k=235 n(k)=n(235)       =22+32+52       = 38

Q: Express the definite integral using summation notation: 4 (3*) dx 1

A: We will convert the given integral into summation notation using Riemann sum ∫14(3x)dx.

Q: A17 Let Xx² (99). What is Var(X)? Answer to A17:

A: X~chi square (99) We have to find var(X)

Q: Let X~N(3,0²). Suppose that P(3<X<6)=0.4 · find P(X<0) ?

A: Given: X~N3, σ2 and P3&lt;X&lt;6=0.4.