1/5 Find the area of this trapezoid. Be sure to include the correct unit in your answer. 7 m 5 m m2 ma Il m ? 9 m

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Q: Express each one of the following in the standard form a + ib. 1 (1+ i)? (iii) 3 - i 1 (vi) 1- 2i…

A: vii)

Q: positions using Rules of Logical Equivalences. Do not forget to indic (pA q) (p → q)

A: INTRODUCTION: The formula of logical equivalence is given by, p→q⇔~p∨q~(p∧q)⇔~p∨~qp∨p⇔p

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Q: Find the area of this trapezoid. Be sure to include the correct unit in your answer. 7 m m2 5 m 11 m…

A:

Q: olve (2xy*e +

A: In this question, the concept of the differential equation is applied. Differential Equation A…

Q: 1. R:y = Vx,y = 4, y – axis axis of revolution: y = 4

A: Volume about y=4, by Disk method

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Q: (a) A list a1, a2, a3, a4 of rational numbers is defined so that if one term is equal 41 then 29 to…

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Q: Use Euclid's Algorithm to show that there are integers s and t such that 21s + 97t 1. Showing all…

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Q: 3. Using the following table find f(x) as polynomial in x -103 6 7 f(x) | 3 -6 | 39 822 1611

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Q: Solve the initial value problem + y cos x = dx sin 2x, y(n) = 0)

A: To solve the given initial value problem.

Q: he perimeter of the pentagon below is 69 units. Find the value of z.

A: Perimeter means sum of all sides. Here using perimeter condition we have to find value of z.

Q: QUESTION 6 Show that U(14) and U(18) are isomorphic..

A: We have to show that the group U(14) and U(18) are isomorphic.

Q: The equations of three lines are given below. Line 1: 3y=-4x+5 Line 2: 6x-8y=8 4. Line 3: y= For…

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Q: Solve the given polynomial equation. Use the Rational Zero Theorem and​ Descartes's Rule of Signs as…

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Q: b. Put the following in the simplest form: (x -) (ay + b – x5) X with writing the boundary degree

A: We have to calculate the simplest form and find the boundary degree.

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Q: Blink Appliances plans to order microwaves and stoves. Each microwave requires 2 hours to unpack and…

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Q: Construct a graph that is a tree with vertices P,Q,R, S,T such that the degree of P is 3. What is…

A: Graph theory, graph tree using the degree

Q: consider ihe foriowing polýnomiai functions 2 f(x) =-2x"+8 .hx): 3x(x3ー4) 4 please graph BötH

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Q: 3) z = sin(ej³) + sinh(5230°)

A: We have evaluate the given complex number z=sinej3+sinh5∠30°

Q: Find the coefficient of sin nx in the Fourier series expansion of f (x) = x² (0 <x < 2n)

A: We find the coefficient of sin(nx) in the Fourier series expansion of f(x)=x2(0&lt;x&lt;2π).

Q: CSc x e dx Cos x

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Q: nd all zeros of the polynomial function. Use the Rational Zero​ Theorem, Descartes's Rule of​ Signs,…

A: To find the zeros of the below polynomial fx=x4−16x3+50x2+152x+85

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Q: 2. Solve the initial value problem by the method of Laplace transforms: y" – 3y – 4y = 12e², y(0) =…

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Q: C. How many extensions of g to A are onto?

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Q: Suppose a classroom has 10 males and 12 females and a committee of 3 is to be formed. Find the…

A: The given question is related with probability. Suppose that a classroom has 10 males and 12 females…

Q: Use induction to prove: for any integer n > 1, 3|(n – 4n + 6). Hint: this question is case…

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Q: 2-Solve the following logarithmic equations. a) Log, 2 – log 4 b) 2 + 5(3*) =3(3*) x +7/6=0 -

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Q: plex numbers in polar form : i-1 (iii) TC Cos 3 +i sin

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Q: By using the sccant Methad findthe:voots ofeauation

A: We have f(x) = x-22-ln(x) x0 = 1 and x1 = 2 f(1) = 1-22-ln(1) = 1 f(2) = 2-22-ln(2) = -0.69315

Q: For certain decisions, the time it takes to respond is a logarithmic function of the number of…

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Q: Suppose a mechanical oscillator obeys the IVP y" + 4y' + 5y = 0 y(0) = 0, y'(0) = 1 (1) Note: Write…

A: Given : yy''+4y'+5y=0, y(0)=0, y'(0)=1

Q: (a) u, v, w are vectors such that u·v = 3, u·w= -2, v·w= 5. Then, (u+ 2v)· • w = (b) {u, v, w} is a…

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Q: Question 1 Apply the First Derivative Test to find the minimum value of f(x)=(2x^+2)/x² . Keep 4…

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Q: 3. Sketch the graph of the following functions by transforming the graph of their parent functions.…

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

Q: 2. Given the matrix A below, [1 1 0 11 0 2 1 2 A = 2 10 1 L2 0 1 4- solve for det inv A.

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Q: Using the composite division, find the rest of the border division ((4 x) 2 + a-x - 5 x  4-3 x 6+…

A: By composite division if we put x=a+2, then by the algorithm rule we can find the solution easily.…

Q: (c) Find f(A), where f(t) = tª – 4t3 + 3t – 7.

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Q: D Derive Quadrahic lagrange Model Show Lagrange Model Quadratic Polynomial 2) as dy=axs bx tc ax*+…

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Q: Problem 4 A mound of blue powder dye is placed on a flat surface in the x-y-plane as shown. The flat…

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Q: Find the area of this trapezoid. Be sure to include the correct unit in your answer. 16 yd 8 yd 5 yd…

A: We know, Area of the trapezoid= (1/2)* ( sum of the length of parallel sides)*height unit2

Q: 2. Solve the following initial value problem in terms of g(t): y" – 3y' + 2y = g(t) : y(0) = 2 ,…

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Q: Find the Inverse Laplace Transform. F (s) = 6s-54 82 +16

A: