Theorem 2.7. Let f be an arithmetical function which is not identically zero. If f is multiplicative, then f(1) = 1.

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A: Given: From 2020 to 2021 the rate of decrease is 8%. Initial and final purchasing power is 100 pesos…

Q: 5) Prove: u-v=v-u for vectors u, v in V. Show all steps clearly, do not skip steps! Use vector…

A: Here, we just need to use the commutativity of the underlying field, here I have assumed the field…

Q: A store has a $9000 monthly advertising budget. Newspaper ads cost $600 each with a limit of 30 per…

A: Cost of Newspaper Ad =$600 People covered = 4000   Cost of Radio ad = $30 People covered =3000…

Q: In any group, show that <a, b> = <a, ab>.

A: We have to show that <a,b>=<a,ab>

Q: the truth tables for the following propositional forms. (a) (PAR) v S (b) (PvQ) ^ (~ R) (c) (P^R) ⇒…

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Q: Consider the following system of equations. { x+y-1=0 2x2+2y2-4y-6 = 0. a. Transform the second…

A: The given system of equations is:…

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Q: Find the discontinuities of the function f(x) = discontinuity and redefine if removable. x-1 ex x >…

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Q: (a) Which picture below shows a level set of f(x, y, z) = x² + y²? (Notice that f is a function of 3…

A: We shall solve first Three subparts only as per the company guidelines. For others kindly post again…

Q: Given the Normal and Osculating planes for the curve r(t) = (3sint, 3 cos t, 4t) at t TU P 3 4…

A: Given : rt=3sint , 3 cost , 4t  To Find : Rectifying Plane

Q: 2. Determine whether each of the following subsets of R³ is a subspace. a. U = {(x, y, z) € R³ | −…

A: Given: Subset of R3 a) U=x,y,z∈R3|-x+y-z=0 b) W=x,y,z∈R3|xyz=0 To Find: whether given subsets of R3…

Q: In parts (a)-(d), find the values of the sums in terms of n. In par n a. Σκ= k=1 b. C. d. e. n k=1 Σ…

A: (a)∑k=1nk=n(n+1)2(b)∑k=1nkn2=1n2 ∑k=1nk1=n(n+1)2n2=n+12n

Q: 1-2 Classify each function as a power function, root function, polynomial (state its degree),…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: Suppose A and B are finite sets with |A| = a, |B| = b and |An B| = c. Find (a) |AB| (b) AX (AUB)|…

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Q: 1.5 3 (1.83) (35) (Ho - 0.40) ž 0.385 0.10 · · - (-)"] 1 Ho -0.40

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Q: Question: Determine whether the given differential equations are homogeneous and, if so, state the…

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Q: У x Suppose the red point has coordinates (a, b, f(a, b)) and the blue point has coordinates (c, d,…

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A: Solution :  The area of the rectangle is the product of the length and width of a given rectangle.…

Q: 6. if x C y. (a) (b) Let R = {a: a is a cut}.Let x, y, E R. We say that a <y if and only Prove that…

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Q: Suppose K is an extension of F of degree n. Prove that K can bewritten in the form F(x1, x2, . . . ,…

A: Suppose K is an extension of F of degree n. To Prove: that K can be written in the form F(x1, x2, .…

Q: (e) Give one example where the Green theorem fails, and explain how.

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Q: Determine the inverse laplace of 2s/(s2+9s+11)

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Q: Find all values of k for which the given augmented matrix corresponds to a consistent linear system.…

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Q: If A is normal and no singular prove that so also is A-1

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Q: O Evaluate f(x+5)³ dx, with number of intervals n=4,

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Q: Given the Normal and Osculating planes for the curve r(t) = (3sint, 3 cos t, 4t) at t =Z/ 3 4 8 --…

A: Given : r(t)= (3sint,3cost,4t) at t=π2 To find: Rectifying plane

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A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: For ne N and n ≥ 2, find and prove a formula for 2(1-1)

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Q: 11. Find the value of the (1,1) element of the following matrix that gives a determinant value of…

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Q: For Problems 33-34, use properties of the inverse to prove the given statement. 33. If A is an nxn…

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Q: X 0 1 f(x) -3 -2 a) Applying the Composite Trapezoidal Rule with all the points in the table we get…

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Q: Eliminate the arbitrary constants c₁ and c₂ from the relation y = C₁ + c₂e³x Eliminate the arbitrary…

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Q: == 3.14. Prove l'Hôpital's rule in the following form. Suppose f(a) = f'(a) = f(n-1) (a) = 0, g(a) =…

A: Given :f(a)=f'(a)=....=f(n-1)(a)=0  , g(a)=g'(a)=...=g(n-1)(a)=0 We have to prove :…

Q: 1) Select True or False. Given non-zero vectors a,b,c eV, and keR.. is the dot product and x is the…

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Q: 5. Let {an} be a sequence of real numbers with an infinite number of values. (That is, there is no…

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Q: A babysitter earns $8 an hour for babysitting 2 children and an additional $3 tip when both children…

A: In this problem we want find out babysitter earning if he work x hours.

Q: A machine shop manufactures two types of bolts. The bolts require time on each of the three groups…

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Q: Construct a truth table for the given statement. -q p Fill in the truth table. Р T TF F q T F T TF…

A: Definition (Negation): Let a be a statement, then negation of a is the statement that is opposite to…

Q: Customers buy 11 units of regular beer and 17 units of light beer monthly. The brewery decides to…

A: Given :- Customer buy 11 units of regular beer and 17units of light beer monthly,

Q: Find the intercepts of the plane 4x+y+10z=40 . Write your answers as points (a,b,c) where a,b and c…

A: Given equation of the plane is 4x+y+10z=40. We have to find different intercepts.

Q: 3. What is the coefficient of ?9?11 in the expansion (?+?)20.

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Q: Define algebraic and geometric multiplicity. Show that algebraic multiplicity of the eigenvalue=1 is…

A: Given : A=1301   , λ=1 Define : Algebraic Multiplicity and Geometric Multiplicity To Find : Eigen…

Q: Consider the statement: If n is a cube of an number. integer, then n is a square

A: n = 8 will give counter example.  Because  23 = 8 = n  i.e. n is a cube of integer 2. But n is not…

Q: Determine if the given function is one-to-one, onto, both one-to-one and onto, or neither one-to-one…

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Q: Workers in the U.S. pay several types of taxes on income, including federal income tax. The federal…

A: Income tax for a single person earning $25000 can be calculated using tax slabs given.  $25000 falls…

Q: Decide whether the level surfaces of each function are concentric circular cylinders, concentric…

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Q: Determine if the given mapping is one-to-one, onto, both (one-to-one and onto) , or neither (not 1-1…

A: Given : Domain=D3 ,D4 , C2  , Range=Pretzels , Chips To Determine :The given  Mapping is one-one ,…

Q: Approximating the shaded area with the (a) Trapezoidal rule and a step size of h=1 yields square…

A: (a) Given h = 1 and from figure, lower and upper limits are 1 and 3.  The required formula is ∫abydx…

Q: Question 3. Determine whether the statement is true or false. If it is true, prove it algebraically…

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