The LCM and HCF of two number are 180 and 6 respectively if one of the number is 30 find the other number

Q: 1. Below function is defined for one period 1 10 99 X 1 10 f(x) = { -9x + 9 - 10 ≤ x < -1 - 1<x< 1…

A: hi!Thank you for your question.As per guidelines we can solve one question at a time in case of…

Q: 2. Let U = {0,1,2,3,4,5,6,7,8,9,10); a) How many subsets will A have? b) Lis only the elements of…

A: as per Bartleyby rules we have to answer only 3 subparts.

Q: By Cauchy's integral formula find the integral f 2³+4+¹ dz, where C' is the circle [2] = 2. z-1

A: Given Data: To find the integral ∫C 2z3+4z+1z-1dz by using cauchy integral formula.

Q: 2. Let B₁ be the basis r²e, ze, e of V = span(r²e², xe, x), and B₂ be the basis is H.6 of w that the…

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Q: Let m: [0,1) -> [0,1) be the function defined by m(x) = 2x(mod 1). Find a point x element of [0,1)…

A: Given below clear explanation

Q: Prove that if r^n and q^n are solutions to the recurrence relation of the form a_n = αa_(n−1) +…

A: Given recurrence relation is an=αan-1+βan-2                (1) Given that rn,qn are the solutions to…

Q: 4. What is the purpose of the following iteration formula? Xn+1 = 2x₁-x²R₁ where R is a non-zero…

A: given iteration xn+1=2xn-xn2R            ...i it is known that, newton formula is xn+1=xn-ynyn'…

Q: Given the function of y₁= Ax' and y₂ = 3.5, where A is the last two digits of your matrix number.…

A: Hi! Thank you for your question.As per guidelines we can solve one question at a time in case of…

Q: Problem 7 One hundred children were asked, "Do you like mommy or daddy" Of the 33 who answered…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Use the mehod of Frobenius to obtain two linearly independent series solutions about a regular…

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Q: K Find the cardinal number for the given set. A={6, 9, 12,...,42} The cardinal number is. (Type a…

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Q: Find the correct recursive formula of the given sequence. 3, -2, -7, -12,

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Q: A straight line ABCD was measured as a whole and in sections. Due to variations in the accuracy of…

A: Most probable length = observation value + errrr  value

Q: The slope of the 4.0 kN force F is specified as shown in the figure. Express F as a vector in terms…

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Q: At $14.15, the demand (customers) for UB-shirts drops to 350. What is the demand when the price is…

A: Given that the demand and price of a t shirt is as, Price ($) Demand 14.15 400 15.25 350…

Q: Please teach not just solve (use hessian) " the following functions quasi-concave? Assume x > 0 f(x)…

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Q: (a) Does D V 5 represent the number of items sold during the day assuming that they cannot sell more…

A: Given below clear explanation..

Q: determine if the geometric series converges or diverges.  If a series converges, find its sum.…

A: Given series, 110+1102+1103+1104+1105+… To find: The geometric series converges or diverges.  If a…

Q: Suppose A is a 2 x 2 real matrix with an eigenvalue λ = 1 + 4i and corresponding eigenvector -1 + i…

A: Given: The eigenvalue is λ=1+4i and the corresponding eigenvector is v→=-1+ii. To find: The…

Q: Exercise 6.4 In problems 1-2, evaluate the integral (2) dz for the given function f 1 C 1.…

A: As per the policy, we are solving first question. Please repost it and specify which question is to…

Q: If m and n are odd integers then mn is odd.   Prove the above implication directly.  Write the…

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Q: (1093x-21093x+5) The equation log3x-2 X exactly three real solutions at least one real solutions =…

A: Consider the given equation, xlog32x-92log3x+5=33 Let us assume that log3x=m,…

Q: Let E and F be measurable sets such that m(EAF) = 0 (where m(EAF) = (E – F) U (F – E)). If f is a…

A: Given: The sets E and F are measurable with mE∆F=0. To show: ∫Ff=∫Ef when f is a measurable function…

Q: a tank is filled to capacity 30% .if we add 35 liters it goes to capacity 80% .what is the capacity…

A: It is given that the tank is filled to 30% capacity. Later, 35 litres added to the tank which…

Q: What is the number of days in February in 1900?

A: February is a month that may have 28 days (when it is not a leap year) or may have 29 days (when it…

Q: (a) Prove that : (a-1)² a²+1 a (6-1)² 6²+1 b (c-1)2 c²+1 c = 0

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Q: 3. Panera Bread estimated its yearly sales to be $588 million at the end of the year. Actual sales…

A: Actual sales Sa=$530 million Estimated sales Se=$588 million a. Amount by which the sales were…

Q: Solve the following system of linear equations: 3x1+6x2+6x3 = 6 X1+7x2-3x3 = 7 -2x1-x2-7x3 = -1 If…

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Q: 24 The line y = x - 10 intersects the curve x² + y² + 4x + 6y - 40 = 0 at the points A and B. Find…

A: Consider the given equation of curve, x2+y2+4x+6y-40=0 It is given that the line y=x-10 intersects…

Q: 1. Suppose Delta Corp allocates $600,000 to spend on research and marketing. Delta Corp estimates…

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Q: The accompanying Venn diagram shows the number of elements in region V. Use the given cardinalities…

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Q: Find the surface area of the portion S of the cone z² = x² + y², where z ≥ 0, contained within the…

A: Given That : Equation of cone z2=x2+y2 contained within the cylinder y2 +z2≤4 To Find : Surface area…

Q: EX. Question 1 Alphabet (Capital / small letters in Black Bold al Phobet). IA a IB

A: Q-1 alphabets (capital / small) in black bold Aa Bb Cc Dd Ee Ff Gg Hh Ii Jj Kk Ll Mm Nn Oo Pp Qq Rr…

Q: Use the Laplace transform to solve the given initial-value problem. y"+ 2y"-y'- 2y = sin(4t), y(0) =…

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Q: 19. What is the value of (pk) when p is prime and k is a positive integer?

A: We know that the value of the Euler ϕ-function at the positive integer n is defined to be the number…

Q: 6x3 - 19x² + 8x + 5 = 0.

A: What is Equation: An equation is a mathematical expression which on the left hand side contains a…

Q: Exercises: Taylor's series Exercise 1.5 Given a function f(x)=sin(x). Compute the following Taylor's…

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Q: Create a proof for the following argument, using the implication rules and replacement rules. 1. ADB…

A: To find- Create a proof for the following argument, using the implication and replacement rules. 1.…

Q: 2. y Insin(x-A) +B; y″ + (y')² +1=0

A: What is Differential Equation A differential equation is an equation that involves the derivatives…

Q: Given a natural number c ∈ N. On natural numbers, the relation Rc is defined as follows: ∀ a, b ∈ N…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: K Express the given set using the roster method. The set of natural numbers less than or equal to 8.…

A: We are given that, The set of natural numbers less than or equal to 8. We have to write the roster…

Q: Simplification using Boolean Algebra Show the solution of the ff. simplified logic expressions: 1. y…

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Q: Integrate the function f (z) = (z - 8i)² from z = 0 to z = 4 + 4i along the line x = y.

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Q: 3.9 Suppose that the second-order system i = f(x), with a locally Lipschitz f(z) has a limit cycle.…

A: Given That :  The second order system is: x˙=f(x) with a locally Lipschitz f(x) has a limit cycle.…

Q: Let g(x) be a polynomial in Z₂[x]. Prove that if the polynomial code C generated by g(x) with length…

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Q: Use the Laplace transform to solve the given initial-value problem. y""+ 2y" - y'- 2y = sin(4t),…

A: To use: Laplace transform to solve the given initial-value problem. y'''+2y''-y'-2y=sin4t, y0=0,…

Q: (a) Compute 40¹¹0 mod 37 using modular exponentiation. (b) Evaluate -96 mod 5

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Prime factorise 90 and 150.

A: We have to find the prime factories of 90 and 150. Prime factorization:- It is a process of…

Q: 4s²-5s+6 (s+1)(s²+4) 2- Inverse Laplace transform for a) f(t) = 3et+ cos2t - 3 sin 2t b) f(t) = et +…

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Q: Consider the function f(n) = floor(n/2) from Z to Z. a. Is this function one-to-one? Is this…

A: Now, we have fn=floorn2 Part a A function is said to be a one-one function if no two elements from…