* :Test the following function using limits x² - 25 lim x→→5 x² + 2x - 15 B) 5/3 A) 5/4 O C) 5/2 O

Q: a) It costs $1500 plus $5.00 per bottle to produce the lotion. If x represents the number of bottles…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: 3. Let X be a Banach space and T E B(X) an operator with ||T|| Ea(T). Show that || id +T|| = 1 +…

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Q: Draw the bodies with the direction markers and sketch several solution curves, including the curve…

A: We will find equilibrium solution and then direction of tangents to decide solution curve .

Q: 5) x+1 x²(x+2)3

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Q: 3. Approximate the solution to the partial differential equation a²u ²u 5л 0x2 (x, y) + dyz (x, y) —…

A: Given: ∂2u∂x2x,y+∂2u∂y2x,y-12.5π2ux,y=-25π2sin5π2xsin5π2y To find: Dirichlet boundary condition

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Q: VIP seating at a local outdoor concert costs $118 per seat. General admission seating costs 43%…

A: Given, VIP seating costs is $118 Also, general admission seating cost is 43% less than VIP seating.

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Q: np 100 n=11 converge. 2+n² Find the values of p such that the series - Find the radius of…

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Q: In a certain town, 30% of the people are Conservatives; 50% Socialists; and 20% Liberals. In this…

A: Here we can use bayes theorem because all the conditional probablity given in terms of percantage.

Q: A (square) baseball diamond has sides that are 90 feet long. A player 27 feet from third base is…

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Q: To complete the original question asked... how would the check for both x-coordinate and…

A: given graph f(x)=3x2-12x+1

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Q: In a box containing 8 red balls, 8 green balls and 8 blue balls where 3 balls will be drawn in…

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Q: The equation x - Rx¹ = 0 has x = R¹/2 for its solution. Establish Newton's iterative scheme, in…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) and the initial approximation of the…

Q: Evaluate C6 and 7P7. (If necessary, consult a list of formulas.) ₂% = C. 11 0 7³₁= 0

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Q: of the differential + ½¼/12 ( x + xy²), 4

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Q: If mzB = 111°, a = 12, and c = 6, what are the measures of the remaining side and angles? O mLA =…

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Q: QUESTION: What information does a quadratic expression in the vertex form reveal? Vertex form: y =…

A: Find what information a quadratic expression reveals in the vertex form. The vertex form of the…

Q: Solve the given initial value problem. y"-10y' +25y = 0; The solution is y(t) = y(0)=-3, y'(0) = -…

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Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

A: 8x2+3y2-176x-42y+1091=0

Q: -te-zusin(-u) U c{s:² 0 du

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Q: Find The approximate Value of f(x) at x=1-2 where f is defined over The period[17] Thus; Ţ 3 4 6 7…

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Q: = (f(x مستمرة عند 2 = x V7x+2 - V6x++ (x-2) if x ≥ and x # 2 if x=2 1- قيمة الثابت k الذي يجعل…

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Q: Find an explicit solution of the given initial-value problem. dy 12-11-14 y(3) = 3 dx y = =

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Q: Find the volume bounded by the function z=f(x,y)=xy√√x² – 8≤x≤10 and 0≤ y ≤8. over the rectangular…

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Q: S , use the translation property to compute eat cos bt). *** Given that cos bt)(s) = s². Click here…

A: The translation property is: Leatft=Fs-a

Q: Question 2. Find the critical points of the function g(x, y) = x²y + 4xy.

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Q: med borrows $10,000 from Al-Rasheed Bank on June 1 and must repay total of $11,400 exactly 2 years…

A: Ahmed borrows $10,000 and after 2 years paid a total of $11400.

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: We check the given differential equation is exact or not.

Q: a) Use Excel Plot the function f(x)=2x-1.75x² +1.1x³ -0.25x* for x from -2 to 3 at a step size of…

A: As per the question we are given the function : f(x) = 2x - 1.75x2 + 1.1x3 - 0.25x4 And we have to…

Q: :The nth term formula for { 1,0,1,0,... } is

A: given sequence 1, 0, 1, 0, .........

Q: dy/dx of the function (x³ - 2y² + xy = 0) at the point (1,1) is: B) 2/3 A) 4/3 O C) 5/3 O

A: We will use basic rule of differentiation to  find dydx   rule 1 : du±vdx=dudx±dvdx rule 2 :…

Q: 4. The point Zo of |Z| ≤ 1? A. an interior B. a boundary C. an exterior D. an isolated + H|4 2 4 i i…

A: Since you have posted a multiple question according to guildlines I will solve first question(Q4)…

Q: Q1: Answer all points a) Calculate (i) 23% of 15.34 (ii) 10 % of 15.34. b) A salary of £5 240 is to…

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Q: Apply the eigenvalue method to find a general solution of the given system. Use a computer system or…

A: Given  x1'=6x1-5x2, x2'=4x1+2x2   To apply eigenvalue method to find the general solution of the…

Q: Is the following piecewise defined function f(x) continuous at x = = 0, [cos(x), x≤0 f(x) = x²+x+1,…

A: The given function is: fx=cos x,       x≤0x2+x+1,  x>0 Check whether the function is continuous…

Q: The volume determined [2, 3] x [1, 2] x [0,1] will be (in integer) from ff, 8 xyz dv for V:

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Q: Q7) If you know that N= [3:3:15; 6:6:36; 4:4:20; 7:7:35; 9:9:45], answer the next questions to make…

A: Since you posted multiple question, we will solve the first question for you. Kindly repost other…

Q: Prove that for all positive integers n, we have 6″ – (-4)″ Σ (1) 5k 2 k−1 k odd =

A: Expand 1+xn 1+xn=C0n(1)nx0+C1n(1)n-1x1+C2n(1)n-2x2+.......+Cnn(1)0xn=∑r=0nCrnxn Expand 1-xn…

Q: Solve y(6) — 5y(4) + 16y" +36y" - 16y' - 32y = 0. Include a plot of the solution curves.

A: There is no conditions, so i plot the six independent functions separately.

Q: Solve dy dx cos x = cos x cst ² y

A: A differential equation can be solved using the variable separation method. In this method, the…

Q: 2. Estimate f' (12) using backward, forward and central difference approximations X 3 6 9 12 15 18…

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Q: An airplane flies at an altitude of  y = 4  miles toward a point directly over an observer (see…

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Q: Evaluat the following integral by reversing 4, 4

A: Introduction: Step for reversing the order of integration: Recognize that the iterated integral is…

Q: > For y, polynomial 1 », — D² - 2₂·[*²] Ур

A: To find: the value of  1D2-2x2

Q: Q3. Interpolate the following data to estimate the pressure at 1.05 minutes using 2nd order…

A: Interpolating polynomial is an approximate polynomial that passes through the given data points.…

Q: Suppose we have the female population of a species is divided into juveniles, yearlings, and adults…

A: note : As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

Q: 1. Given that Zo of z is A. i B. 1

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Q: Plot the function f(x) = sin(x)cos(2x) and its derivative, both on the same plot, for 0<x<2n. Plot…

A: Given f(x) =sin2(x)cos(2x)⇒f'(x) =2sin(x)cos(x)cos(2x)-2sin2(x)sin(2x)