Worksheet 10.0 Le Prove: MBC = AEDC Move MỐC ARPO 3. Prove: AABC AADC 4. Prove: A C 5. Prove: ACEF-ABDG 3.

Q: Given the area of the trapezoid (2000 m^2) and the side of one base (144 m), find the length of the…

A: Given. Area of Trapezoid ABCD, A=2000m2  one base length AB=144…

Q: If p, q≥ 1 and 1/p+1/q = 1, th || ||D R

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Q: Solve the initial value problem. Indicate the method used. L 4 y² + 4xy = @= 2²³² 1. e-2x² 2 y (0) =…

A: The solution is given as

Q: Question 6 If E = 2ax + ay - 3az, F = ay - az, and G = 3ax + 5ay + 7az, determine (2E-3F)/|G| (A)…

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Q: Solve the problem using pair C and F

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Q: [Q1] For the following continuous pdf, find: (a) F(X), (b) P(X > 1000), (c) E(X), (d) Var(X). IT…

A: Theory : Formulas, CDF F(x)=∫-∞xf(t)dt P(a<X<b)=∫abf(t)dt E(X)=μ=∫-∞∞xf(x)dx…

Q: Tandem Cycling Triplets Peter, Reeta and Nikita have two ways for getting home from school each day:…

A: Note:- As per our guidelines, we can answer the first three sub-parts of this problem for the…

Q: QUESTION 4 a) For the given data: 0 0.2 0.4 0.6 X 0.180 0.285 0.363 0.411 0.8 Evaluate f(x) dx by…

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: Use Laplace Transform to solve the initial value problem. Show your complete solution. 3t y" - 3y +…

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Q: An elliptical plate, major axis 6 feet and minor axis 4 feet, is submerged vertically until its…

A: Given: Let us consider the given, Major axis=6 Minor axis=4 until the minor axis=3  Let us determine…

Q: There are 15 marbles in a jar: 3 red, 7 blue and 5 green. One marble is drawn at random, Find the…

A: Classical definition of probability tells us that  the probability of an event =number of favourable…

Q: For any vector space E and any subspace V of E we have

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Q: how did we get from x +2xy + iy^2 - ix^2 - iy to the next line?

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Q: 4. Prove that (a) A\B=A\(ANB) (b) A\(B\C) = (A\B)U(ANC) (A\B)\C=A\(BUC) (c)

A: To prove the given equality we shall use the following rules 1.   A \ B=A∩Bc 2. De Morgan's Law:…

Q: QUESTION 1 A generalization is drawn from a process beginning with particular cases. O Deductive…

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Q: EXTENSIONS For the following exercises, use the graphs t f(x) 73. 72. 16+ -(0,8) (-3%) -2 -8 -16 -24…

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Q: Sketch EFGH with EF = 13, EG = 24, and FH kind of parallelogram is EFGH? Explain. Sketch RSTU wich T…

A: Given, the parallelogram EFGH with                              EF=13, EG=24, and FH=10

Q: Productivity-diminishing returns Suppose the pro- ductivity P of an individual worker (in number of…

A: As per the question we are given the productivity function p(t) of a worker w.r.t number of hours of…

Q: Application Spherical - volume Find volume of a solid bounded above the sphere x² + y² + (z − 1)² =…

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Q: 3 The volume of the rectangular right prism alongside is 48 cm³, the length is 2x cm, the width is x…

A: A right rectangular prism is a solid three dimensional prism with the angle between two edges is…

Q: Lft etc ezt coth 3t dt 2t 8

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Q: 3. Given a prime number k, we define Q(√k) = {a+b√k : a, b ≤ Q} ≤ R. This set becomes a field when…

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Q: The value of a collectible toy is increasing exponentially. The

A: Given the collectible toy is increased exponentially. The two points on the graph show the toy's…

Q: PROVE IT Given any real n x n matrix A, if A is invertible, then there is an orthogonal matrix Q…

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Q: 1. Calculate for one real root of tan x = 4x with 0 = 1.2 co up to four decimal places using the…

A: We need to find one real root of  tanx=4x with initial guess x0=1.2 upto four decimal places using…

Q: a) ди(х,у) дх ди(x,y) ду = 0

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Q: Determine whether the set S is linearly independent or linearly dependent. S={(2, 1, 6), (3, 2, -1)}…

A: We determine whether the set S is linearly independent or linearly dependent . Given S = { ( 2 , 1 ,…

Q: Q2. Is the given equation an example of homogeneous linear differential equation with constant…

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Q: QUESTION 9 Which of the following is the hypothesis in the statement "Two distinct planes intersect…

A: Given statement is ' Two distict planes intersect exactly at one point '. (.) Hypothesis :…

Q: SkyChefs, Incorporated, prepares in-flight meals for a number of major airlines. One of the…

A: Given that, Company prepared grill salmon using 960 direct labor hours. Company paid to the direct…

Q: The table shows the number of students graduating from a high school in selected years. Use a…

A: The general quartic polynomial is defined as: f(x)=ax4+bx3+cx2+dx+f. The regression analysis is done…

Q: 4 Solve your given set of simultaneous equations (with three variables) using matrix and determinant…

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Q: 1. Find an orthogonal change of variables that eliminates the cross product terms in the quadratic…

A: Given Q=x12-4x1x2+x22

Q: In Exercises 1 and 2, find the general solution of the given equation. Since the associated…

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Q: HOMEWORK 16: Graph the following equations. 5. y²= = x+3 2x²+3x+2

A: Here given y2=x+32x2+3x+2 or y=x+32x2+3x+2 Thus the domain of y is -3, ∞.

Q: 5 Solve your given pair of complex numbers placing them on an Argand diagram. A=2+√3 B=3+√2 C=3-12…

A: X = C = 3 - j2 Y = B = 3 + j2

Q: 5 Solve your given pair of complex numbers placing them on an Argand diagram. A=2+13 B=3+1/2 C=3-12…

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Q: Prove the following + if a Ez then 4 is

A: Divisibility is the basis of the theory of numbers. A number is referred to be divisible by another…

Q: If B is basis for (x, t) then By = {BnY/BE basis for the subspace topology Ty on y IS 9

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Q: Q1: A. Find the general solution of the following Initial Value Problem (IVP): y+9y-10y = -40t²-72t…

A: Given: y''+9y'-10y=-40t2-72t+8 To find: a) General solution b) Point

Q: Your turn A Honda Accord depreciates at 15% per year. Six years ago it was purchased for $21,000.…

A: The formula to calculate the amount after depreciation is obtained as follows: At=a1-r100t

Q: Q1. (a) If Aį = {-i,−(i − 1), . . .−3,−2,-1, 0, 1, 2 }, for i = 1, 2, 3,. . . find (i) U₁ A6 and…

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Q: Give two solutions for each of the following integrals. One should be a "standard" solution using…

A: As per the question we are given a triple integral which we have to solve by : Evaluating the…

Q: app Compute the percent error in the approximation, 100.

A: Given, the function                    f(x)=15-x2 at a=1;    f(1.1)

Q: For the m-mass particle in the two-dimensional infinite potential well; a) Determine the energies of…

A: Given: Two dimensional infinite potential  To find: Solution

Q: fn is a prime number, then prove that Z/(n) is integral domain.

A: We have to prove that z/(n) is intregal domain when n is prime.

Q: x² +8y² = 8 Oval (C |z+1=1 (B |z+i=1 (A on contour 3z²+7z+1 z+1 -dz g

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 400 X1 600 X3 x2 X4 300 100 X5 (a) Solve this system for x₁, i = 1, 2, ..., 5. (If the system has an…

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Q: dx de X = X(t) defined implicitly by 62 +62 V X In(t) = ext. Also evaluate dx at dt (tox) = (1,1).

A: Given 62+62xlnt=e62xt

Q: Given A = [-12,7) U {9, 10). What is interior point of A? Explain your answer. ) What is…

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