Suppose f and g are two functions with nonnegative values. If f(n) is (n) and g(n) is (n³/2), then f(n)+g(n) is ○ 0(n¹/2) ○ Ⓒ(n³/2) ○ 0(n5/2) O(n)

Q: (2-x,0<x<2 f(x) = {²0₁2<x<4 Periode = 4

A: The given function is                     f(x)=2-x, 0&lt;x&lt;20, 2≤x&lt;4    Period = 4

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Q: Determine what comes next in the given pattern and provide solution/explanation: 12, 5, 24, 10, 48,…

A: given sequence 12, 5, 24, 10, 48, 15, 96, 20, ..., ...,

Q: LET K BE THE FIELD OF COMPLEX NUMBERS AND LET F BE THE FIELD OF REAL NUMBERS.FIND G(K|F) and fixed…

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Q: Which ONE of the following statements is FALSE? OA. If f(x,y) has a saddle point at (a,b) the…

A: To Check: Which one of the following statements is true. (A). If f(x,y) has a saddle point at (a,b)…

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Q: In solving for the area bounded by y = x, y = 2x and x + y = 6 using a horizontal element, the total…

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Q: A. Written Works Find the numerical value of each expression. 1. sin 30° - cos 60°

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Q: = 2 -- for n E N. Then the limit of x is equal to n+1 If x,> 8 and x ******

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Q: or x are as follows f(0) = 0, f(1) = -1, f(2)=0, f (4) = 32 Use Lagrange formula to compute the…

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Q: Is the graph below planar? Is it maximal planar? if it is not a maximal planar either remove or add…

A: Given: Graph G To find: To check whether given graph G is a planar or not.

Q: Set up the integral representing the area of the region between the curves -1, x = 4, y 2x - x², and…

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Q: equation. 1. The time (T) required to travel is directly proportional to the distance(d). 2. The…

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Q: Given set U = {1,2,3,4,5,6,7,8,9,10} and A = {x | x is an odd number}. List the elements of set A.

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Q: e point where t = =1+

A: Given: Equation of two curve R(t)⇀ =t2,1-t2,t and r(t)=cost . To find, Parametric equation of line…

Q: 2. A contractor wanted to buy equipment; current price of it is ($50,000). So, he requested the help…

A: Solution :  Given principal amount  P = $ 50000  Total amount  A = $ 66000  Number of years T = 5…

Q: 5. Solve y" - 3y' + 2y = 2et, y(0) = 2, y'(0) = -1

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Q: The objective function for a linear programming problem is 3x+2y. If x = 20, and y = 20, what is…

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Q: Part II f(x)=x² A. g(x)=(x-3)² p(x)=(x-3)² +5 p(x)=(x+3)² +5 f(x)=x² f(x)=x² C. g(x)=(x-3)² D.…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Using Rationalizing Substitution O2Arctan(y) + C O In(y) + C O2ln(y) + C O Arctan(y) + C find…

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Q: a+b Let G = {a € R| -1 < a < 1}. Define the binary operation on G by a b = ; Show that (G,) is a…

A: Given :  G = a∈ℝ : -1&lt;a&lt;1. And the binary operation * on G defined by  a*b = a+b1+ab ∀ a, b∈G.…

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Q: 1. f(x, y) = 4x² + 2y² + 5 subject to the constraint x² + y² - 2y = 0

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Q: Find the area bounded by the curve y^2+x-4y=5 and the y-axis.

A: The figure is given below

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Q: Problem 2. Solve the Burgers initial-value problem Show all work and simplify your answer…

A: Solution: u(x,0) is linearly depend on x, so uxx is 0. ut+uux=0 u(x,0)=x-1 Which is Nonlinear wave…

Q: If A = {x+|x-1| : xER), then which of ONE the following statements is TRUE? A. Set A has a supremum…

A: We use the definition of modulus function to solve this problem.

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Q: of Let f(x,y)=tanh-1(x-y) with x=e" and y= usinh (1). Then the value of Ot (u,t) =(4,In 2) is equal…

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Q: Find the second-order Taylor formula for f(x, y) = 8 sin(xy) + 3 cos(xy) at (0, 0). (Use symbolic…

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Q: Let R be the region bounded by y = 8 sin(2), y = 8(x - 2)², and y = 2z + 6, and containing the point…

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Q: (1) Determine what comes next in the given pattern and provide solution/explanation: -7, 2, 11, 20,…

A: Given pattern, -7,2,11,20,__,__ Firstly compare the first digit is -7 and 2nd digit is 2 This…

Q: Evaluate the following double integral over the given region R. M JI 2 ln(x + 1) (x + 1)y dA over…

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Q: 2) If tan (0) = -1.48, find cot 1 cot ( 12-0).

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Q: Draw the missing figure on the sequence below and provide solution/explanation: O O

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Q: If x,> 8 and x n+1 = 2 - for nEN. Then the limit of x is equal to 11 X 31

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Q: Consider the following sequences n (i) In (1 + n) (ii) e"/ (n²+1), (iii) √√n²+2n -n. Which of the…

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Q: ] Use Gaussian Elimination Method. 7X + 5Y + 2Z = 10 = 5 0.7X0.4Y+0.9Z 5X + Y + 8Z = 8 -X+Y+Z = 0.70…

A: 7X+5Y+2Z=10 0.7X-0.4Y+0.9Z=5 5X+Y+8Z=8 -X+Y+Z=0.70 9X-12Y+15Z=-22 to solve it lets convert into…

Q: Let R(t) = (²,1-t², t) and r(t): = cost. Determine the parametric equations of the line tangent to…

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Q: Consider the polynomial P(x) = x² + 3x³ - 2x² − 3x +2. (a) Determine another polynomial Q equivalent…

A: P(x)= x4 + 3x3 -2x2 - 3x +2 a)  by using Horner's method Q(x)= 2 + x(-3+x(-2+x(3+x)))   {I am…

Q: Consider the series Σ(-1)" ! n=1 Which ONE of the following statements is CORRECT? 3"

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Q: A closed wood storage having a volume of 27 in.³ is to be in the form of a right-circular cylinder.…

A: For relative maximum or minimum To maximize or minimize  a function f(x) 1st we need to find its…