Show that recel projeetrue space is an manifol a.

Q: Transform to normal form and solve (showing the details!) 37. иху

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Q: Is the bicyclist's acceleration positive, negative or zero? Explain.

A: To determine whether the bicyclist's acceleration of positive, negative, or zero.

Q: B. Use the facts in the table to solve each problem. Element Melting Point 1064.43°C 327.5°C Gold…

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Q: Solve the system using either of the three direct methods 1. -2y +2z 3 2x – 3y – z = -7 -* + 3y – 3z…

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Q: Consider the vector v = (5 1 -3) in R3. v belongs to Span{(2 -1 0), (1 2 -3)}. %D Select one: True O…

A: Spanning set

Q: 14. Consider z as a function of the variables x, and which is defined by = In(x"y*) + and be P (-1,…

A: The function x is given as  z=ln(x10y8)+y2x4and point P(-1,1) . we have vectors  u=(α,β)  , w= (α,…

Q: Q5: Fill in the blank:

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Q: 5. Consider the double integral rydA r=4+4 cos(0) = 25 Where R is the region of the XY plane, i1 -io…

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Q: 10 -12 A = -2 6 -8 has A = -2 as an eigenvalue with algebraic multiplicity 2, and A = 4 as an…

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Q: Work Problem 2 ( Given the set of the vectors in M22 1 10 0 3 4 6 S = 21 0 2 2 1 86 a) Create the…

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Q: School fees at a certain school are due at the beginning of the year. The fees are set at R12000 for…

A: School fee at a certain school is due in the beginning of the year. The fees are set at R12000 for…

Q: A chemist has three different acid solutions. The first acid solution contains 20 % acid, the second…

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Q: 2.2 Let f be a function that admits continuous second partial derivatives, for which it is known…

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Q: Question 4. For the following two graphs, answer the following questions. If your answer is yes,…

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Q: S,x = (1) x+e"(1 – x) (b) Compute S,x for each of the four points x = 0, . 1, 2. Use this to sketch…

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Q: Find the area of the plane region bounded by the given curves 1. y = x, y = 2x, and x + y = 6…

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Q: Let f be a function admitting continuous second partial derivatives, about which it is known that:…

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Q: 3. Consider the vector space V p<? = {ax? + bx + c : a,b, c E R} of quadratic polynomials. Let B be…

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Q: Solve manually using formulas. At an annual effective interest rate i, an investment of 1 unit…

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Q: わuse Duse the Euler Method wethod Solve the : S+y tan x=SinzX ,ylo)=1,h2 0.1

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Q: _4. Typing on a keyboard Video calling a friend _5. Taking examination Chatting with friends

A: Typing  on a keyboard and video calling a friend both events can happen at same time. This means it…

Q: Consi der the lines : = 2 - y = z+1 and l2 : = y - 2 = 1. Determine a direction vectors for the…

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Q: 1 1 S = 0 0 11 the spanning set. ect one: True

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Q: Use The Runge-Kutta Method SoNe the: dy X(I+x), y(0)=3,h20.2

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Q: Consider the function f(x) = %3D x²+1 (a) Find the intercepts of the graph of f (if any). (b) Find…

A: Remark: The x-intercept is the point at which the graph crosses the x-axis. At this point, the…

Q: Show that the function f defined by 1, (x, y) = (1, – 1) f (x, y) = x² + y (x, y) # (1, –1) x + y is…

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Q: 1 |S (5x )sin |dx || NA X \dx + C( 5x – 15 )sin 1.5 NT X 1.5 1.5

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Q: ĐUse the Fuler method's solve the: y(0) =1 ,h=02

A: We will use the Euler's Formula  yn+1= yn + hf(xn, yn) . we will perform the iterations on it to…

Q: A payment of R150 000 due in 30 years' time is purchased from a company by means of level monthly…

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Q: Question #6 C13: "Use derivatives to describe and analyze key features of a graph and sketch…

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Q: Consider the function f(x) = x² –1 (a) Find the intercepts of the graph of f (if any). (b) Find the…

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Q: 2r2 + y2 7. Consider the equation surface S = P= (1, 1,V3) in the direction of the vector w = (1,…

A: Solution

Q: Find the volume of the solid that results by revolving the region enclosed by the curves x= 10 –…

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Q: II. Find the weighted mean price of three models of television sets sold. The number and price of…

A: The weighted mean can be calculated as: Weighted mean = ∑i=1nwixi∑i=1nwi We have: Model Number wi…

Q: The heights of the 430 National Basketball Association players were listed on team rosters at the…

A: We can solve this by using formula of given problem Part a) (x-µ)/ƒ   Part b) (x-µ)/ƒ   Part c) X…

Q: Use a truth table to show the following equivalence: ~ (~p^q) ^ (p V q) = p

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Q: 1. Find an equation of a curve, such that at each point (x, y) on the curve, the slope equals twice…

A: We have to find equation of curve.

Q: :Write step by step solutions and justify your answers. Ques Evaluate L fe³ – (5t – 2)² - sin(-5t) +…

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Q: Given the following set of the vectors from M22 11 0 0 1 0 0 1 S = 0 0 1 1 0 1 11 Sis the spanning…

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Q: Match each linear inequality to its appropriate graph. Question -x+y>4 -3x+4y> 12 5x-10ν < 50

A: Solution:-

Q: 3) A hot cup of tea has temperature T(1) = 198 °F, one minute after it has been sitting on the…

A: To calculate the local linearization of the temperature at t = 1.

Q: )Use the improved Method Sove the: ら*52びン0 yl0)1 h=or

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Q: (d) a sin 0 d0 + (x³ – 2x2 cos 0) dx = 0 - %3D (e) x dy - [y + xy°(1+ ln x)] dx = 0 %3D

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Q: 6- Use Newton-Raphson method to solve the system x3 + y – 1 = 0 y3 – x+1 = 0 with the starting value…

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Q: 7,Prove the following fact: for any two positive integer a and b, gcd(2ª – 1, 2° – 1) = 29cd(a,b)–1.…

A: The question has a typo. It should be gcd(2^a -1, 2^b-1)=2^(gcd(a,b))-1. The -1 is not in the power.…

Q: A man sold half an egg more than half his eggs. He then sold half an egg more than half his…

A: We can solve this by given information

Q: Let A„x" n=1 be the Taylor series about x = 0 of the algebraic function 1- VI- 4x f (x) = 2 Show…

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Q: Duse the imProved wmethod solve the: S+9taux=sいmてt)ylo) 21he ol Say

A: We will use the formula of improved Euler's method which is given by  yn+1 = yn + (h/2)  [f(xn, yn)…

Q: ĐUse the Fuler method's solve the: らゃう2び20 (o)1 れ:0r

A: We will use the formula of Euler method which is  yn+1 = yn + hf(xn , yn).  Then we will perform the…

Q: and Suppose z is a function of a and y, and tan Vy2 + x² = z*e6y. Solve for dx dy

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