d) A function/ is defined on the set N of natural numbers by 4/5 (0) = 2, (2) = 5 and (n) = 2 (n - 1) + 3 f(n - 2) + An - 3) for all n 2 3. Find (4).

Q: -(+2h)+16f (x+h)-30f(x)+165 (x-h)-(-2h) Suppose f"(x) 3 Show that the error is O(h4)

A: It is given that,

Q: 4 z+9 (z – 2) + 2 (9 – 2) < 18 (x + 1) Enter the exact answer in interval notation. -To enter 00,…

A:

Q: Identify the open intervals on which the function is decreasing. (Enter your answers using interval…

A: Let f(x)=y. Differentiate the function with respect to x, to find f'(x).…

Q: 5. Which function does NOT have an asymptote of x = 3? * 1 ソ= ズ-3 4. ソ= (x- 3)2 Option 1 Option 2 2x…

A: An asymptote  is a straight line that constantly approaches a given curve but does not meet at any…

Q: State the domain of the rational function. x-9 8) f(x)= x2.5 A) (, -) O--,-3)u(-3,3)u (3, ) B)…

A: To find the domain of the below rational function. fx=x−9x2+5 fx=11x+5

Q: 5(x-3)&lt;2(3x-1)

A: Obtain the x values that satisfies the given inequality 5(x–3)&lt;2(3x–1).

Q: The domain and range of the following function f (x) =D (-00, -1] U (1,+ 00) O (-00, -1) U (1,+ o0)…

A:

Q: X~ N(3,49),  (a) P(X > 3) (b) P1 < X<5) (c) P(-5 < x <9)

A: It is given that  If X~ N(3,49) Here, μ = 3,  σ2 = 49,     σ = 7   Note: According to Bartleby…

Q: Let f(x) = 4x%/1 and g(x) = 2x/² . Find (fg) (x) and L(x). Then evaluate fg and for x = 16. %3D…

A: Use function composition and division rule

Q: If f(x) = =+10, then what is the value of f(a+h)-f(z) ? h - 1 (x+10—h)(x+10) 1 (x+10+h)(x+10). 1…

A: It is given that f(x)=1x+10. we need to find the value of f(x+h)-f(x)h.

Q: What if the big-O of the following function? f(x) = 2 + 3 + 4 + ... + (n-1) OO (nlogn) OO (n-1) OO…

A: The function appears to be summing up a sequence of consecutive integers starting from 2 and going…

Q: Find A, B, AB, and [AB]. Then verify that |A||B| -2 1 1 ^-[¯² _²]- ® -[ 1 _²] A = 4 -2 -1 (a) |A|…

A:

Q: I+ 4 for I <-1 f(x)%3D {6 for I = -1 3x + 1 for - 1< a <

A: Topic = Functions

Q: What is the range of the function g(t)=t^2 - 5 when the domain is defined as the set of integers, t,…

A: Find the range

Q: true or false ? the domain f(k)=k/k^2-9 is the set of real numbers except for k=3

A: The given statement is" The domain of f(k)=kk2-9 is the set of all real numbers except k=3."

Q: Which of the following sets is empty ? * O (x: X = x*2} O (x: x is not equal to x) O (x: x is not…

A: A set is said to be empty if it does not contain any element.

Q: Question 7 A = {x: <. *} = v 2x-1 3 {x: - %3D 5 < 3x + 2} B = (10 a) Find ANB b) Illustrate your…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Which of the following statements below are true for f(x) = - 2(x - 1)(x - 2)(x + 3)(x + 4)? * i) as…

A:

Q: What is (go f)(-1) if f(æ) = 2x + 3 and g(æ) = ? %3D

A: When two functions are combined in such a way that the output of one function becomes the input to…

Q: List the intervals on which f is decreasing

A: From the given graph, it is observed that the graph of the function f increasing in the intervals…

Q: If the following is an injective function, what is the value of d+e+f? f={ (d+1, -4), (4,-4), (f^2 +…

A:

Q: Determine the recursive definition for the function f(n) = n + 2", where n ≥ 0.

A: The given function is f(n)=n+2n, where n≥0. We have to find the recursive definition for the given…

Q: Funchion figandx are follows f(2)- H-14 +421, g12)= Tio-22 , hca)- 5+x find, Find %3D 2. g (4) = h…

A:

Q: 7. 4- 3- -7 -6 -5 -4 -3 2 6. -3- -4 -5- -6- -7 2)

A: Given that, The graph of any function is given. We have to find ithe interval in which the function…

Q: Form the following table 2 Y=f(x) 4 1 Then Lo(x) = 1 ( 5-x) -을 (x+5) *+5) (x-5) 3

A:

Q: Suppose f(x). Evaluate: 1 5- -x A -21n|x - 10| + c B ® -n|x- 10| + C +C +C

A:

Q: 3/4(8y-9)&lt;3

A: We multiply both sides by 4 first.

Q: find

A:

Q: What is the domain of x↦ (1)/(x^(2-25)) ? b. Explore x-> (1)/(x-|x|) to determine what inputs, if…

A:

Q: h(x) 36千 27 18- 9- -5 -4 3-2 -i 0/1 2 4 5-x 3 4 6- -18+ 27+ 36+ -45+

A:

Q: 8. and If sa)3 7-3 g(1)= 1+ 5, find the domain of 6 B. (-5,7] A (-00,-5) U (-5,7] C. (7,0) D. (-5,7)…

A:

Q: Let 43^(55) + 55^(43)= 7q+r, where q and r are two integers such that 0<=q<7. Then r is equal to?

A: Let 43^(55) + 55^(43) = 7q +r, where q and r are two integers such that 0&lt;=q&lt;7. Then find the…

Q: Suppose that X ~ N(-7, 14). Find: (a) P(X-10) (c) P(-15 <X<-1) 1.

A:

Q: 7-Given P(x)=2x^3 +3x^2 +1 and Q(x)=8x-2, find all the possible values of so that Q(x)˂P(X )state…

A:

Q: x2 + 4x+3, What is the ordered pair of the removeable discontinuity an g(x) = 4*S A (-1,-) B (-1,0)…

A: Order Pair Question

Q: 1 What is the direction of fastest increase at (5,-4, 6) for the function f(x, y, z) = x² + y² + z²…

A:

Q: 5. (b) Zero: Zero: Zero: 1) Find each of the following for f(x) = -²(6x + 1)4 (7-½x)³ (x + 1).…

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.