2. Let R, denote the right-endpoint sum suing n subinter sums for the given functions on the indicate interval. a. R4 for f(x) = on [1,2] b. R₂ for f(x) = x²+x-6 on [0,1]

Q: - Let (fn)1 be a sequence of functions such that fnf on a set X. Which of the following condition(s…

A: X should be a closed interval.

Q: Suppose f(2) = (a) The rectangles in the graph on the left illustrate a left endpoint upper sum for…

A:

Q: Constăuct the Langbange intespalation polynomial for y-Sinnx, taking. the function the point ナ 2.

A: Given that y=sinnx And x0=0, x1=16, x2=12 The lagrangian interpolation polynomial,…

Q: For the function Sx² - x x² – if x 1 ’ evaluate the left and right limits as x → 1.

A: We can make it easier for you.

Q: 1. Let f(x) = x3 – 3a² – 9x + 10 for 1< æ < 9. (a) Use f'(x) to determine where f is increasing and…

A:

Q: Compute for the total frequency.

A: The frequencies corresponding to the 4 given classes are: 9, 21, f and 6. Given table: x…

Q: 7.   The function is decreasing on the following intervals:

A: Ans:

Q: Evaluate (x2 – 2x³) dx using the limit of Riemann sums.

A: given integration is                                       I=∫01x2-2x3dx we have to find value of…

Q: 7. Evaluate the upper and lower sums for f(x) = 2 + sin x. 0<x<T, with n = 2, 4, and 8. Illustrate…

A:

Q: Let 2x - x if 0 4 (a) For each of the numbers 2, 3, and 4, dctcrmine whether g is continuous from…

A: We are given                 . For (a), For each numbers 2, 3, and 4, we need to determine whether g…

Q: If f(x) = x² - ²x² 5 4 5 4 has a relative maximum? 3 -x³+60, then what is the set of x values for…

A:

Q: 6) Determine constants a and b such that f(x) is continuous for all values of x. ax + 3, if x> 5 8,…

A:

Q: a)Find the average of the function f(x)= x² +1 on the interval [-1,2] Answer:

A:

Q: Find the intervals on which the function is continuous. 45) 4х, f(x) = 3 -3, -x2 + 1, -1 sx < 0 0…

A: Please refer the attached image for complete solution. THANK YOU.

Q: +9 for all n2 1. Prove that {r,} converges and find 2.1 4. (a) Let r = 4 and am+1 its limit.

A: Sometimes, a sequence is defined recursively. In that case, to test the convergence of the sequence,…

Q: Compute for the total frequency X 0< x < 2 2<2<4 4<x<8 8<x< 10 frequency 9 21 f

A: The endpoints of a class interval which is used for tally marking the given values are called Class…

Q: x+2, x0 a. (-0, 0) b. (-0, 0] [-1, 1) d. (0, 1] e. [0, +0) с.

A: A function f(x) is said to be discontinuous at x=a if limx→a+f(x)=limx→a-f(x)=f(a)

Q: The graph of f is shown in the figure. 6. 4 х 14 -4 -6+ 2-

A:

Q: n a and b with f(c) = N. I thi

A: Mean value theorem: Rolles theorem If a real-valued function f is continuous on a proper  [a, b],…

Q: Use a calculator to compute the left, sum, midpoint sum, and right sum for the function f, using a…

A:

Q: Find the value of ſ (2x – x³) dx by evaluating it as the limit of sums.

A:

Q: Determine whether g(x) is continuous on the following intervals. 1. (-5, -3) g(x) 2. (-3, -1) 3. (1,…

A: Given :   g(x) is a function that is :