Direction: Identify the conditions that guarantee that a quadrilateral is a parallelogram. Given parallelogram GEOM with diagonals ME and GO bisecting at T. G E 1. mM=85°, m² E=85⁰ 2. GE=8 cm, MO=8 cm 3. mG=950, m E= 85⁰ 4. MT= 4 cm, TE= 4 cm. 5. GM EO, GM=EO. M

Q: For what values of x does the series E-1 n=1 x21+3 12² converge?

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Q: Identify the open intervals on which the function is increasing or decreasing. g(x) = x² - 8x - 20

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Q: Identify which of the following functions is one-to-one, onto, and/or one-to-one correspondence.…

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Q: Q4. Check to see if the following integrals converges. 0 1 e ∞o 1 Σ (b) Σ (c) Σ k=1 (k + 1)(In(k +…

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Q: Date Jan 16 Feb 16 Mar 16 Apr 16 May 16 Jun 16 Hours light 8.95 10.18 11.62 13.27 14.65 15.40 Date…

A: Given:  Date Jan 16 Feb 16 Mar 16 Apr 16 May 16 Jun 16 Hours light 8.95 10.18 11.62 13.27 14.65…

Q: Solve []=[ 'y' 3 - 17 ][] 2 -3, x(0) -4, y(0) = 1

A: Given: x'y'=32-17-3xy, x(0)=-4, y(0)=1 To find: Solution of given system of differential equations.

Q: 1 1 40 50 60 70 80 90 100110 What points are outliers? OA. 49 OB. 101 OC. 84, 88, 101 OD. 88, 101

A: The given data points are 40,50,60,70,80,90,100,110. We have to find the outliers.

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A: Intermediate value theorem

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A: We find the first four terms of a Maclaurin series of  f(x)=ex.

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A: solving first 2 questions .

Q: B/ The sprue leading into the runner of a certain mold has a length is 150 mm. The cross- sectional…

A: We will use Torricelli's theorem to find velocity of metal through the base of sprue .

Q: 2. Given the points A(2,2,1) and B(9,3,6) and the plane K: 2x+6y+6z-9=0 Define: a. do points A and B…

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Q: 1. Legendre functions for n = 0. Show that (6) with n = 0 gives Po(x) = 1 and (7) gives (use In (1 +…

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Q: b) Find the root of the equation f(x) = x - 2 + Inx that has a root near 1.5. Use the Newton-Raphson…

A: Follow the steps.

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Q: 1. Find all x € ZZ satisfying each of the following equations. [from # 1, 3.5] a) 5x + 1 = 13 (mod…

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Q: For the function f(x)=x²-7x-5, find the vertex. Solve and express the answer in interval notation:…

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Q: How would you prove for any integer n, n(n² - n)is proof by counter example proof by cases since n…

A: We need to select the correct way of proving that for any integer n, n(n2-n) is even.

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A: Given a quantity V with magnitude V≈6680

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Q: Define fct) = {est + e + cast if t 1/2 t>"/2 solve y(3) - 2 y(2) + ý' - 2y = f(t) y (0) = 1, y'(0) =…

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Q: 5 Estimate the magnitude of the error involved in using the sum of the first four terms to…

A: The given series and the sum is given as follows: 11+t=∑n=0∞-1ntn, where 0<t<1 Check whether…

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Q: find: de So 2-cose using sediment theorem

A: Solution :-

Q: 11. Consider the equation dy/dt = ay - y³ = y(a − y²). (a) Again consider the cases a 0. In each…

A: Given differential equation, dydt=ay-y3 =y(a-y2) The objective is to find the critical point for…

Q: what about part c,d,e?

A: (c) write the contrapositive of the statement  if n2 is a rational number than 2n-1<n2 solution…

Q: 7. Use the trapezoid rule with n = 60 to approximate the sum in addition to providing the…

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Q: 6. List every generator for the subgroup of order 8 in Z32.

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Q: Use two truth tables to show that each of the propositions are equivalent.

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Q: 3. Convert the following Linear Programming problem into Standard LPP form. Minimize P = 5x1 - 10x2…

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Q: f(z) = 6z + iz + Re(z) (a) 6-8i (b) -7+ 11/ (c) 5-91

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Q: Solve []=[ x (t) = y(t) = - 3 1 -41 -5 [2] x(0) = - 2, y(0) = 23

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Q: Consider the following linear programming problem: Max 3A + 3B s.t. 2A + 4B ≤ 12 6A + 4B = 24 A, B 2…

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Q: 2. Solve the following LPP using Simplex method. Max P 12X 16Y Subject to: 10x + 20y =0 and Y>= 0

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Q: (a, b, c, or d): . The shaded range on the right can be described using: a. (X>=0 || X=100) Using…

A: Here we will give the solution by looking at the picture only i. e. the shaded area.

Q: - Let f(z) = cosh z. (1) Find the image of S := {z = x+iye C: x < 0,0 < y < } under f.

A: Follow the steps.

Q: B. Re-write the triple integral *** following orders. 1. fff dydxdz 2. fff dxdydz dzdxdy as an…

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Q: Question 3 A motor has 5 speeds varying from X rpm to Y rpm in a Geometric Progression. (a)…

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Q: Given that F = xz i − 2yz j + x2yz k. Find the followings at (1, 1, 3): (a) div F.  (b) curl F.  (c)…

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Q: 3. Convert the following Linear Programming problem into Standard LPP form. Minimize P = 5x1 - 10x2…

A: Given LPP is: Minimize P = 5x1 - 10x2 + x3Subject to:     x1 - x2 + x3 &lt;= 150   5x1 + x2 + 2x3…

Q: See the points D(4,-2,5), E(-1,3,5), and J(4 + 2√3, −2 − 2√3, 5+ 2√2), and the line / with symmetric…

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Q: Consider h(x, y, z) = cos (ry) + e + In (zz) at the point P mine the following: (a) the unit vector…

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Q: dentify the ca A. If you If you If you If you OB. OC. OD.

A: Introduction: Assume "if p, then q" is the supplied conditional statement, and "if q, then p" is the…

Q: 10/1A1 Let X= 2* and T-³A≤X: A finite sot) does T form Set topological structure over X B Let X+0…

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Q: 2. Q(-∞0) = 1 using the definition of error function.

A: