For the same function f(x) and same subintervals as question 1, compute the right-hand sum fo f(x) on [0, 4]. O 14.5 2.5

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

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Q: 8. Let r(t) = (-13 cos (t) +9,5 sin(t)-9, 12 sin(t) + 12). Compute (2), the curvature eval- uated at…

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Q: if -1Sxくo -1くxくo xtl いーx if we suppose fx +2)=f(x) Vx find the fourie sum of the funchon and %3D

A: We will find fourier series for periodicity of given function and then will find coefficients .

Q: List the critical numbers of the following function separating the values by commas. f(x) = 5x² + 3x

A: We can find the critical numbers as below.

Q: (2x- 3, x3 Use the definition to determine if f is continuous at X =3.0

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Q: A. Consider the function defined by [x² +1, if x<5 f (x)={ |6x– 4, if x25 a. Is f continuous at x =…

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Q: A. If X~N(196,20), find x such that Pr(X < x) = 0.945.

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Q: Let X be the amount of time (in hours) the wait is to get a table at a restaurant. Suppose the cdf…

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Q: 10. Determine all x E R such that [x] + Lx + = [2x]. %3D Justify your answer.

A: Given that x+x+12=2x    x∈R        - (1) Case - (i) Let x is an integer i.e; x=m Then from equation…

Q: Let X denote the amount of time for which a book on a 2-hour reserve at a college library is checked…

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Q: Employ Lagrange's interpolation method to find the value of f(x) using the following set of values…

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Q: 6. Find the intervals on which f(x) = 2.x – 3x? – 120x+6 is increasing or decreasing. %3D

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Q: V. Evaluate, given f(x) = [[x]]. (greatest integer function) 9.) f(-1.2) %3D 10.) f(9.999)

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Q: Use the given graph of f(x) = 1/x to find a number & such that %3D if |x - 2| < 8 then - 0.5 < 0.2…

A: Limit of a function: Let the limit of a function fx be L, as x approaches a. It is denoted by…

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: 2. Let f be the arithmetic function defined by f(n) = (-1)". Compute Z;(2) = f(n) n2 n=1 Hint:…

A: Solution: We will use the following formula Here n0=2

Q: Prove that the function f(x) = x³ is continuous at 2 directly using the definition (p. 83).

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Q: Q: Find the denvatives of the following functions. i) 20( )

A: Use the chain rule of derivation.

Q: Choose a prime number, n, between 10 and 99, and using n, prove why the function ƒ(e (2πix)/n )=…

A: G is the group of nth roots of unity under complex multiplication.Zn is the group of integers mod n…

Q: For a given function f(x), the divided -differences table is given by: flxo) = a flx) -b Xa = 1 1 1…

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Q: Prove the following properties for even and odd functions. a) (Even)(Even)=Even

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Q: 5. Determine whether each of these functions is a bijection from R to R. (a) f(x) = 2x – 10 %3D (b)…

A: 4(d) We have to give an example of the function f:N→N that is neither one-to-one nor onto. Example:-…

Q: 4 of 40 (17 complete) ▼ Find f(0) for f(x) given below. X-2 if x<9 f(x) = 3-x if x 9 O A. 3 O B. - 2…

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Q: 2.22. Let f be a function from R to R. Without using words of negation, write the meaning of "f is…

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