1. Find the centre manifold and determine the behaviour near the non-hyperbolic fixed point at (0,0) for x = xy .8.S ý = -y-x²

Q: a Example: Suppose that det d det? с b+c 11a det fe+f -11d h+i -11g. Lg h determinant using…

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Q: 2. 2-13 8r3s t4 113-1 42r2s2t4

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Q: 1) Cool Down: Homecoming T-shirts The student council has $800 to spend on homecoming T-shirts. The…

A: Given : n(p)=800p  where p is the price in dollars

Q: Use the definition of limit to prove that lim (x² + 2x - 5) = 3. x-2

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Q: 1 The expression bh gives the area of a triangle where b is the base of the triangle 2 and h is the…

A: Given query is to find the area of the triangle.

Q: Given AT rank(A) = 1 4 [] 25, find the rank(A). 3 6

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Q: 18. Jim wants the new barbecue grill at House Mart. It currently is selling for $375. The store will…

A: As per our guidelines we are supposed to answer only one question. Kindly repost others questions as…

Q: 43. (a) Prove that if A is invertible and BA = CA, then B = C. (b) Give a counterexample to show…

A: Recall: AA-1=I

Q: 2 and y = 3, then what is the value of and y If x = 2 3x²y 5x-¹y² ?

A: Find the value of 3x2y05x-1y2

Q: Use the formula for simple interest, I = Prt, to find the indicated quantity. I= $150; P = $5000; r…

A: The given data is: I=$150P=$5000r=6%=6100r=0.06  Find t.

Q: Find an equation for the line that passes through the points (5, -3) and (-1, -1). 0 0=0 X 010 S

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Q: What would be the prediction for the 29th day?

A: Let's use least square method to find the linear model. August (X) Cases (Y) X - Mx Y - My (X -…

Q: Simplify the expression. 4x-28 x²-7x

A: Given expression:- 4x-28x2-7x

Q: Sabina begins 10 meters to the east of a certain tree, and walks directly to a spot 6 meters north…

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Q: Find the future value for the annuity due with the given rate. Payments of $1300 for 8 years at…

A: Given query is to find future value.

Q: 8. 38x₁ + 5x₂ = 3 12x1 + 58x₂= 2

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Q: Write the standard form of the quadratic function whose graph is a parabola with the given vertex…

A: The quadratic equation with vertex (h,k) is: y=a(x-h)2+k  Substitute h=-3 and k=5 in the equation:…

Q: Jump to level 1 A = 8 6 -1 det A = Ex: 5 # 5 -2 -4 -9 7 -6

A: Given query is to find the determinant of A.

Q: Let u = (9,3,-3), v = (0,2,-5), and w = (6,5,4). Compute v X w. vxW=(

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Q: is phone service, Justin pays a monthly fee of $22, and he pays an additional $0.04 per minute of…

A: Given query is to solve the inequality for m.

Q: a) If 4 [²]=²1+2[*], then x = 3, y = 2, and z = 1. b) If v₁ = (1,2), v₂ = (3,4), v3 = (-1,0), then u…

A: Note :- As per guideline we can do maximum 3 sub parts so i am solving initial first 3.

Q: Find the slope and y-intercept of the following linear equation. Express the y-intercept as a…

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Q: Let  U = { 1, 2, 3, 4, 5, 6 ,7, 8, 9, 10  }, A = {1, 3, 5, 7 }, B = { 3, 4, 5, 6, 8, 10  }, C = { 2,…

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Q: Lek T: P₂ -ol, be a linear transformation for which 7 (₁) = 1 + x 7(x) = 3-22 T(x²) = 4 + 3x 2 Find…

A: Let T: P2→P1 be a linear transformation for which T1=1+xTx=3-2xTx2=4+3x (2.1) To find Ta+bx+cx2…

Q: Graph the solution to the following system of inequalities. y≤4x+5 y>-2x+3 -10 -8 -6 4 -2 2 4 6 8 10

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Q: . (a) Prove that rank(AB) ≤ rank(A). [Hint: Review Exercise 30 in Section 3.1 or use transposes and…

A: Please see the below picture for detailed solution.

Q: Refer to the functionf = {(3, 7), (4, 2), (0, 10), (6, 4)}. Determine f (6). f(6)= X 5

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Q: Malik is younger than Daniel. Their ages are consecutive integers. Find Malik’s she if the product…

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Q: A line passes through the points (-5, 9) and (15, -3). Write its equation in slope-intercept form.…

A: Topic = Coordinate Geometry

Q: Compute the null space of A = null(A) = span{ 3 null(A) = span{1} 2 -3 - null(A) = span{0} 3 null(A)…

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Q: Convert the given time period to years, assuming a 360-day year. 9 months 9 months = year (Simplify…

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Q: 6. Find the final mark given to a student who gets the following grades: 20%)-24/30 Quiz 1 (worth…

A: Test 1: Weightage= 20% Marks=2430   Test 2: Weightage= 20% Marks=3134   Exam: Weightage= 50%…

Q: Simplify the expression. X+8 x²-x-72

A: Given expression:- x+8x2-x-72

Q: For a>0 and b>0, determine what values for m and n would make the statement true. 20a25616 2am br…

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Q: Write an explicit formula for the geometric sequence. an = {4₁-1, ₁-16...} an = 4'

A: Given sequence:- an=4,-1,14,-116........

Q: Convert the given time period to years, assuming a 52-week year. 22 weeks 22 weeks = year (Type an…

A: 1 year = 52 weeks

Q: If inflation has been running at 4.9% per year and a washing machine costs $440 today, what would it…

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Q: Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two…

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Q: Find the quotient and remainder using synthetic division. x³+4x²+1 x + 1 The quotient is The…

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Q: The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total…

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Q: 14. Solve the inequality 8x - 3 ≤ 2x + 1 ≤ 17x - 8. Explain your solution in words

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Q: Students in a fifth-grade class were given an exam. During the next 2 years, the same students were…

A: Given function is  f(t)=87-4log10(t+1)

Q: Solve the system by any method. x + 3y = 14 2x+4y = 18 3x + 5y = 22 4x+6y= 26 BETER Select the…

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Q: Let R be a partial order relation on Z+. For any positive integers a and b, (a, b) E R if alb. Are…

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Q: 13) f(x)= ex log4 x A) ex ( 1 + 1084 +log4 C) x(In 4) In 4 + log4 1 D) ex (x(in 4) * log4 x) +

A: f(x)=exlog4xwe know  log4x=logxlog4d dx(ex)=exd dx(logx)=1x

Q: The length of a rectangle is the sum of the width and 3. The area of the rectangle is 40 square…

A: Here is the solution:

Q: If inflation has been running at 4.38% per year and a new car costs $21,100 today, what would it…

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Q: 2. Objective function: Constraints: z = 4x + 5y C 20 2x + 3y 2 6 3x y ≤ 9 x + 4y ≤ 16 (a) Graph the…

A: Solution will be given below.   (AS STUDENT ASK ONLY FOR QUESTION NO. 2, ANSWER OF Q2 GIVEN BELOW)

Q: Ivanna is going to rent a truck for one day. There are two companies she can choose from, and they…

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Q: Find the missing values in the ratio table. Then write the equivalent ratios. Write each value as a…

A: Here we have to find the ratio.