If x and y are positive real numbers, use the direct method to prove the following inequality: 7 5 √xy ≤ 1/1/1 x + 1/2/4/y - 10

Q: A tree has 7 vertices.   (i)  How many edges this tree can have?    (ii) If the degrees of first…

A: To find the given condition :-

Q: let A and B are dis comnncted in SPeace X Show that DAUB is dis connected. @ ANB is dis connected.

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Q: 1. Identify the surfaces of the following equations by converting them into equations in the…

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Q: Graph the line that represents a proportional relationship between d and t with the property that an…

A: Given that an increase of 3 units in t corresponds to an increase of 4 units in d.  To determine the…

Q: Consider the function v(x, t) that satisfies the PDE vx + 8xvt=0 for x>0 and t> 0, and the initial…

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Q: pigeonhole principle guara e a streak of at least I losing

A: Given as, number of lottery tickets = 100 according to question, number of winning tickets = 12 the…

Q: Use proof by contradiction to show that, "The sum(s) of an irrational number(i) and a rational…

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Q: (b) compute an estimate of x(1) for the initial-value problem dx 1+x x(0) = -2 dt sin (t+1)'

A: Problem is solved using second-order predictor-corrector method.

Q: 3. Find the Maclaurin series of the function F(x) = foedt. Use it to estimate F(1/2) with an error…

A: We will use Maclaurin series of ex ex=1+x1!+x22!+x33!+......∞

Q: Q4a. Evaluate the complex number e2+3i In(2+i) 3+4i

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Q: (10 pts) From Kirchoff's law, the current I in an RC (resistor-capacitor) circuit during discharging…

A: Solution :

Q: Let L₁ be the line passing through the point P₁=(-8, 0, 11) with direction vector ₁-[-3, 2, 3]T, and…

A: Given The line L1 passing through the point P1=-8,0,11 with direction vector d1→=-3,2,3T The line L2…

Q: Exercise (1-3): By Charpit method solve the following PDE Question Answer (1) p²x+q²y=z z =…

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Q: [3] Find the Fourier series of the function given by f(x) = { f -a<x<0 0<x<a. 3x Sketch the graph of…

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Q: ) f(x) = 4 sin²(3x) - sin(3x) + 5.

A: As per the question we are given the following function : f(x) = 4sin2(3x) - sin(3x) + 5, And we…

Q: - A quadratic equation x¹-x-8=0 is defined with an initial guess of 1 and 2. Find the approximated…

A: We need to find approximated value of x2 using secant method given  x4-x-8=0,   x0=1,  x1=2  secant…

Q: Q1: A craftsman has three identical boxes, each with two identical drawers. In the first box, one…

A: Given information: There are 3 boxes and 6 drawers in them. Each box contains two drawers where…

Q: Show that (2+x, e) is linearly independent. Plz solve both parts within 30-40 mins I'11 upvote your…

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Q: In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation…

A: From the given data we can conclude that, Proportion = 25% Margin of error = 1.3%

Q: 3.1 Let S be the set of all bounded continuous functions f: [a, b] → R. Given two points f and g in…

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

Q: if f is any closed Set of X Such that D≤f then F=X 3 if Bx is a base of x Space, then UnD $ $U<B 47…

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Q: Derive a three-point formula of order O(h²) to approximate f'(ro) that uses f(xo-h), f(ro), f(xo +…

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Q: sing cylindric -2²2², 0≤ solid B that 2 = 2 using s

A: 6. (a) The required solid is R=x,y,z: 0≤x≤1, 0≤y≤1-x2, 0≤z≤4-x2+y2. In cylindrical coordinate…

Q: Consider the paraboloid paremterized by o(u, v) = (u, v, u² + v²). 1. Find the second fundamental…

A: 1 Consider the paraboloid parameterized by σu,v=u,v,u2+v2. We have to find the second fundamental…

Q: and the xy plane.

A: Given,        z=1-2y2-3x2 and the XY-plane.

Q: Q2/ by using inversion method to solve the system 8k-4x+3x-0 X+5xp-K-5

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Q: (4) (y² +4)xpq-2=0 b z=alnx+-tan tan¹+c 2 2

A: Let us consider a PDE of the from F(x,y,z,p,q)=0 Using charpits formula…

Q: no of edges for a tree with number of vertices 10 is

A: Solution :  Given that The number of vertices n = 10

Q: Answer the followings: 1. Let H = {[a b]: a, b, d € R, ad # 0}. Is H a normal subgroup of GL₂(R)? 2.…

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Q: Answer the followings: 1. nZ is a normal subgroup of Z. a. True b. False Compute (1 3) (1 2) (1 3)−¹…

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Q: All statements below are false. Provide a counterexample of f and g each. (a) If f + g and fg are…

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Q: The following diagram shows two triangles. 10 0 1 2 4 6 9 10 5 DISTANCE (Inches) The green (upper)…

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Q: Evaluate 11-x [[ x³y²¹ (1-x - y)²dy dx -10 9π/25 O 1 Non of the above O TU 9π/28

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Q: 10. The set of automorphisms of a group is a group under the operation of function composition. True…

A: Isomorphism : A bijective mapping  that preserves binary compositions in both groups is called…

Q: Let A = (x = R: 7 ≤x < 20} and B = {7, 18, 19, 20, 21). What is A - B? A. {x ER: (7<x< 18) (18 < x…

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Q: The volume, Vm³, of liquid in a container is given by V = (3h² + 4) ³ - 8, where h m is the depth of…

A: Solution

Q: aluate

A: The limit of integration of the variable x varies from x=y13 to x=2. The limit of integration of the…

Q: Assuming that all net sales figures are at retail and all cost of goods sold figures are at cost,…

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Q: A quadratic equation x¹-x-8-0 is defined with an initial guess of 1 and 2. Find the approximated…

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Q: 1. Identify the surfaces of the following equations by converting them into equations in the…

A: Given equation in different co-ordinates system. we have to convert them into cartesian co-ordinate.

Q: (b) Show that every compact set of T₂-space is closed set but the convers need not to true. (c) Let…

A: T2-space: A topological space X is said to be T2-space for given x, y∈X, there exists open sets U…

Q: Identify the surfaces of the following equa equations in the Cartesian form. Show your complete…

A: According to the guidelines I am answering first question only. to convert cylindrical system to…

Q: [8] Find the complex Fourier integral representation of f(x) = e2x 0 |x| < 1, |x ≥ 1.

A: The given problem is to find the complex Fourier integral representation of the given function.

Q: 1.Write down the MATLAB expressions that will correctly compute the following:

A: We have to write down the MATLAB expressions that will correctly compute the following: cos2(t) +…

Q: Exercise (1-3): By Charpit method solve the following PDE Question Answer (1) p²x+q²y=z z =…

A: We have to solve the given problem.

Q: Q4\ Find the average value of f(x,y) = (+√y) where 0≤x≤y and 0 ≤ y ≤ 4.

A: We have to find the Average value of given function in given domain.

Q: e. Discuss the solutions to the differential equation. What are the equilibrium points of the model?…

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Q: Write and evaluate the definite integral that represents the area of the surface generated by…

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Q: 1. Consider the groups (R+, ) and (R,+). Then R* and R are isomorphic under the mapping $(x) = log10…

A: We use the definition of cosets, isomorphisms to answer these questions. The detailed answer well…

Q: Find the unique, closed form solution to this recurrence relation given the initial condition: an =…

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