It is given that  AC = BD. After proving that △BAD≅△ABC△BAD≅△ABC  and △ADC≅△BCD△ADC≅△BCD, a teacher asks the students to prove that the parallelogram is a rectangle. Part of the proof is displayed, but two of the reasons are missing.

Q: (b) Consider the integral * x2 cos x dx I = x4 + 5x² + 4° -00 (1) Find the roots of z4 + 5z? + 4. (i...

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Q: What is the missing number? * 15 17 23 28 40 28 8. 3 12 13 4 1. 8. 12 27 24°C 2. 6, 6.

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Q: Determine whether the given statement is true or false. If the statement is false, make the necessar...

A: A quadratic inequality is an inequality whose left-hand side of the inequality sign contains a quadr...

Q: Assume that T is a linear transformation. Find the standard matrix of T. T: R°→R2, T(e,) = (1,8), an...

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Q: 224 23. You want to buy a $200,000 home. You plan to pay 10% as a down payment. and take out a 30 ye...

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Q: (f) f(x1,x2) = xî xª, where 0 < a<1, on R?+.

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Q: Solve each of the following by Laplace Transform: d' di3 y (0) = 4 , y" (0) = -2 (30 points) dy 3.) ...

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Q: a) The parametric equations for a hyperbola are x = 2sec0, y=4tan 0. Applying the parametric differe...

A: Let us consider the parametric equation x=g(t), y=f(t) then  dydx=dydtdxdtd2ydx2=ddtdydxdxdt

Q: Multiply (3 - 2i)(4 + 3i)

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Q: Determine whether the given set of functions is linearly independent on the interval (-o, ∞). f1(x) ...

A: The solution is given as

Q: Let n E Z. Prove that n2 # 2 (mod 3).

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Q: 5. Graphically, or otherwise estimate the number of and values of the root to the function given bel...

A: Given function is f(x)=8cos3x-4x5-9,   -10≤x≤10 Table for different values of x x -10 -9 -8 -7 -6...

Q: Let f(z)=|z+7|^2 Part (a) Using Cauchy-Riemann equations, show that f(z) is not differentiable ever...

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Q: 6. Suppose now that dim(V) is even, but F is still R. Tell me how to make T's with no real eigenvalu...

A: The given example is one among many other examples that can be constructed similarly, considering ev...

Q: dy The solution of the differential equation =1+ y, y(0) = 0 at de %3D x = 0.2 with step size 0.2 us...

A: The given problem is to find the solution of given differential equation at x=0.2 with given step si...

Q: Find: WxtWy sWxy Way,x* Wyy,Wz, Wzz Wzx ,WZy Wyz, Wxz We Sin (2 TTX +Y-32)

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Q: x2 Given the system of equations Зху + у2 %3D А where A = 2 and B = 8 x2 + y2 = B Find the 4th itera...

A: Given: Let us consider the given system of the non-linear equations as follows, x2-3xy+y2=Ax2+y2=Bwh...

Q: Topic: interpolation and polynomial approximation             1 + 2x - x3 , on [ 0 , 1] f(x) = {   ...

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Q: Find the Laplace transform of the following functions: 1. 8(t) + 48(t – 1)

A: Question belongs to Laplace Transform.

Q: Solve the given differential equation by undetermined coefficients. y' + y = x² - 4x y(x) =

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Q: Suppose that the number V6 is rational. Then 6 = for some p, q e ZZ with q + 0. Suppose that the fra...

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Q: Use an appropriate technique to evaluate the following: 1 dx dy (1+ x² + y²)²

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Q: 3. Determine whether each vector can be written as a linear combination of the vectors in S = {(6, -...

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Q: 2. Let A be non singular. Show that if Ax = 0, then x = 0.

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Q: 1. (a) Determine whether the following argument is valid or a fallacy: g = -p, r = p,r Fq (b) Negate...

A: Please cheek the answers in nextStep

Q: What is 6 times 67

A: There is no such introduction for the solution.I have explained it within the solution.Please go thr...

Q: 1. Discuss the difference between backward difference, forward difference, and central differer meth...

A: The derivative of a function can be approximated numerically. When a set of data points are given, u...

Q: Question 7 Evaluate the value of v-10 x v-7 A imaginary B) -V70 c) V17 D) v70

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Q: Here are Spock's given assumptions of Tribble population growth: * Initial population = 1 * 3 days o...

A: As the given growth model is exponential,the number of tribbles at a given time 't' will be: Populat...

Q: 시e (+-2) u(1-2) T 2-7

A: Some of the proprieties of Laplace transform Lu(t-c)g(t)=e-2cL[g(t+c)] Ltneat=n!(s-a)n+1 Leat=1s-a

Q: QUESTION 6 Solve the given differential equation by undetermined coefficients. 4y" – 4y' – 35y = cos...

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Q: 1. Define x*y over R\ {-1}by x*y = x + y +xy. Prove that this structure forms an abelian group.

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Q: Which of the following sets of numbers could not represent the three sides of a right triangle?   {...

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Q: 6. For the autonomous DE: = (y- 4)y". a. Determine equilibrium points; b. Classify each equilibrium ...

A: A differential equation of the type y'=ft,y is referred to as an autonomous differential equation. T...

Q: Let I (f (x)) be the principal ideal generated by f(x) in Z2[x]. Calculate the multi- plicative inve...

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Q: 2. (D2 - 4D+ 4)y = e* %3D

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Q: What is the quotient when 4 +8i is divided by i3

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Q: 4. The line of a function passes through the points (-1,5) and (5, 8). What is the slope? 1/2 2. -2

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Q: Find: TxTyrTxyjTzy 下x TメッTxx,Te Tez デツッこ,四己 ーXそ

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Q: Why is a homoclinic orbit in a phase space not periodic?

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Q: What is the value of the constant for the convoluted sea? Acaog Z) =(5X+7y)È+(39-5z)Š+(2x+1.z)l

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Q: 11. When babysitting Nicole charges a flat fee of $12, plus $5 per hour. Write an equation for the c...

A: As given by the question There are given that the charges for babysitting is $12. And, Additional ch...

Q: 4. (a) Write down the standard form and give the name of the conics – 3x + 5y² +12x + 40y + 53=0. (b...

A: To find-  Write down the standard form and give the name of the conics -3x2 + 5y2 + 12x + 40y + 53 ...

Q: Evaluate "

A: It is known that: L-1a·fs+b·gs=a·L-1fs+b·L-1gsL-1as2+a2=sinatL-1n!sn+1=tn

Q: Select the best answer för the ques 12. Perform Gauss-Jordan elimination on the augmented matrix sho...

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Q: Simplify i1997+ j1999, where i is an imaginary number (A) 1+i в) і B c) 1-i D) 0

A: We know that i=-1. We also know that: i2=-1i3=-ii4=1

Q: ノノ 1

A: It is known that: L-1a·fs+b·gs=a·L-1fs+b·L-1gsL-1as2+a2=sinat

Q: To enter Propositional Connectives on MyOpenMath, click in the answer box. You will see some I symbo...

A: Introduction: The conjunction &amp; (or ∧), the disjunction, the implication (or ⇒), the negation (o...

Q: iii Let f(x) be any continuous function and f(c) > 0 for some c. Find an interval (a, b) containing ...

A: Please check the answer in next step

Q: A E R"X", Q e R"Xn and Q > 0, C e R™×n. For a given X € R"Xn and X > 0, define the operator h as fol...

A: For a square matrix, the trace is the sum of the diagonal entries. Since diagonal can be obtained on...