Let f and g be two arithmetical functions. We have f(n) = Σg(d) →g(n) = Σμα) (3) d\n d\n

Q: Determine the slope of the surface z = f (x, y) with mespect to x and y in the functions a below…

A: The solution is given as

Q: 1. Given the functions, f(x) = and, g(x) a. Find fAg(4)). VT. = Vx. b. Find (g(x)). %3D %3D x+5 c.…

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Q: Let f(2)= ¹5 and let C = {z € C : |z| = 1}, described in the positive sense. Determine the value of…

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Q: determine L−1[F].

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Q: Given g(z)- In(8z +z), the derivative g(z) is %3D O 8z + O 9z O 72z +1 7278+1 O 72r +1

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Q: Let f and g be arithmetic functions. If f(n) = Eg(d) %3D ulp for all n, then %3D d|n d|n for all n.

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Q: Let r(t) = the number of road-runners in year t, and let c(t) the number of coyotes in year t. Then…

A: The objective of the question is to find the values of r(1) and c(1) for different initial…

Q: * Find the derivative lic F (+) = (+³-2+ +1) (2+²

A: Given query is to find the derivative of the expression.

Q: Q4: ((2x-3)²2D² - 3(2x-3)D + 4)y = x²

A: 2x-32D2-32x-3D+4y=x2

Q: 1) Find the domain of the real-valued function given below 3 f(x) = VT – 2

A: Given that: f(x)=x-3x-2

Q: Use the table below to fill in the missing values. x f(x) 0 3 1 7 2 6 3 4 4 1 5 9 6 8 7 0 8 2 9 5…

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Q: Let t represent the total number of hours that a truck driver spends during a year driving on a…

A: Probability of at least one accident = p(t) Probability of no accident = 1 - p(t)

Q: Find all values of h such that rank(A) = 2 A = 1 3 -4 h -1 1 0 3

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Q: Consider a beehive of 100,000 bees. Suppose that an outbreak of a virus occurs in the beehive. Once…

A: (a)   At time t days the number of infected bees is I and the number of bees not infected is…

Q: 5. Q44 Find the domain of y = Ix- 4| – |x+ 1| +

A: Domain of y where y=√(|x-4|-|x+1| +5/√(x2-9)  Value of x where y shoud be exist

Q: Find E3,3 using the law according to the mittag Leffler function Γ(β)zn Σr(a(n-1) + B) Eaß(z) = z +…

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Q: cott Examine the function f (t)={n/ 2-t 1, t# a/2

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Q: se the graph of the function f(x) and the table of the invertible function k(x) to answer each…

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Q: Write the functions f(x) = Σ 33n+1 and g(x) = Σ – n=0 n=0 24n+2 n! in terms of familiar functions.

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Q: evalute the mclaurins expanion and evaluate from 3 to 6 6 decimal places

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Q: Determine L−1[F(s)]for the given F. Q) F(s)=s+4/s2+6s+13

A: Consider the given function: Here the objective is to find the Inverse Laplace Transformation of…

Q: Let T: P, → R? be the function defined by the formula T(p(x)) = (p(0), p(1)). Find T(5,4). Select…

A: We will assume a linear polynomial whose image is given to us. Now we will use the definition of T…

Q: determine L−1[F].

A: Given Data The function is F(s)=4/(s+2)3.   The general inverse transform rule is,

Q: Find L{f(t)}of the following functions. Note: a, b, e, k and n are constants.

A: Given, f(t)=t cos 8t + 2 Taking Laplace transform, we get L{f(t)}=L{t cos 8t + 2} ⇒L{f(t)}=L{t cos…

Q: Find E3,4 using the law according to the mittag Leffler function Σr(a(n-1) + B) Eaß(z) = z + n=2

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Q: Let P=f(t)=600(1.033)t be the population of a community in year t. Evaluate f(10)

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Q: determine L−1[F].

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