A rhombus has sides that measure 4ft. each. If its smaller angle measures 40°,how long would be the longer diagonal?

Q: for 2x" + 4x' + 5x = 10e¹ is -t

A: Given as, 2x''+4x'+5x=10e-t   As per guidelines, allowed to answer first question and post the…

Q: 3. Which of the following operations is BOTH associative and commutative on C. a*b = 2- positive…

A: Solution

Q: Le following te 9x - 5 dx 18r 1 13

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Q: (a) Solve the differential equation 1 "+y' + y = 0.

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Q: Draw a direction field for the differential equation y' = (y — 9)². Based on the direction field,…

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Q: What is the center of gravity of the solid formed when the plane region bounded by 2x + y -2= 0, y =…

A: Solution: Given plane is bounded by equations, 2x+y-2=0 Its equation of straight line with x, y…

Q: 13. Which of the following is a subgroup of (R+, *) where a*b = (ab)/2? (Q, *) A. B. (Z, *) C. (Q+,…

A: Given that                    ℝ+, * is a group             where…

Q: sin(x²)y"-(cosx)y'+x²y = y'-3 y"+5xy'-3y = cosy

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Q: What is the center of gravity of the solid formed when the plane region bounded by 2x+y-2= 0, y = 0…

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Q: ources amongst thems

A: Nash equilibrium: It refers to a theory that helps in deciding the game which helps the players to…

Q: The following are the cores of 23 students in a 50-item test. 26 28 32 45 38 47 36 35 30 40 29 50 43…

A: Since you have posted multiple questions and we can answer three subparts. So, answered the first…

Q: Consider the function f(x)=2 sin(π 2 (x−3)) +6  State the amplitude A, period P, and midline. State…

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Q: Evaluate J by means fo trapezoidal rule using n = 10 and n = 20. a. If n = 10, solve the length of…

A: Part(a)

Q: Consider the following L.P. Problem: Max.Xo= 3 x1 +12 x2 Subject to: 2x1 + X2 ≤12 3x1 + 4X2 ≥ 21…

A: The given LPP is            Max   X0=3x1+12x2 subject to:           2x1+x2≤123x1+4x2≥21x1≥3x1≥0,…

Q: 17. Given the following degree of the vertices of an undirected graph H= {4,1,5,3,4,3}, we can…

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Q: 15.Consider the group (A, *) where *is defined by the table below A B C D ABA D C BA в с D C D C A B…

A: Here we use cayley table to find this.

Q: I. Evaluate the following limits. sinh r? _ r2 1. lim r→0 sinhr - X

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Q: Prove using proof of contradiction. Include explanation. If n is an odd integer, then n2 is also an…

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Q: Let W = span{(1, 1, 0), (1, 0, 1), (2, 1, 1), (0, 1, -1)}. i. Is (9,0,9) in W? Justify your answer.…

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

Q: What is the volume in cubic units of the solid formed when the region bounded by (x-1)^2 = 20-4y, y…

A: Given curves are x-12=20-4y⇒x=±20-4y+1y=1y=3x=1

Q: 17. Given the following degree of the vertices of an undirected graph H = (4,1,5,3,4,3), we can…

A: For the given degree of the vertex of an undirected graph which of the following is correct :-

Q: 20. Find the volume of the parallelepiped with adjacent edges u = (-2, 0.75, 4), v = (6, -0.3, 8),…

A: Solution :

Q: 1. Evaluate the following limits 2. lim (3* + x) = x → +∞o 10

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Q: Find the solution of the given initial value problem in explicit form. 75 π sin (2x) dx + cos (7y)…

A: The given initial value problem is                        sin2xdx+cos7ydy=0,  yπ2=π7 We have to find…

Q: Solve for x, sin²(x) + cos²(x)-1=0

A: Solution :

Q: Consider the problem below. "The radius of a circle centered at (2, -3) is increasing at a speed of…

A: The given equation:- (x-2)2+(y+3)2=r2 Given point (6,0)  Radius, r=5

Q: 23. Which of the following is/are true among the Graphs A, B, and C? A Only Graph B is a subgraph of…

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Q: the following problems completely. 1. Use local linear approximation to estimate √√(3. 95)³

A: Given f(x)= sqrt(3.95^3) We need to find L(x) Where L(x) is the linear approximation

Q: Q1-A/Find the domain of the following functions. 1-f(x) = √(sin(x) - 1) 2-f(x)=√/In(5x-x²/4)

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Q: 1.) Give the Fourier transform of the function f. Sx ha x = [0, 1] f(x) = 0 otherwise.

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Q: es coefficients for the following periodic sig

A: Given as,

Q: 5. The estimated cost per sq.m. of fully furnished house construction in a given site is governed by…

A: For a differential equation of the form: y'=fx, y, Euler's method uses the formula:…

Q: What is the x-coordinate y = 2x + 1, x + y = 7, and x = 8? 05 7 8 ΝΑ of the centroid of the plane…

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Q: (c) (i) Give a necessary and sufficient condition for the differential equation M(x, y)dx + N(x,…

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Q: Prove the following equalities using equivalence laws: a. (r^s) A (rVs)=r b. r→(st)=(rA¬s) → t (pq)…

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Q: The following differential equation is a Bernoulli equation: 2 dy = y² y3 where y = f(t) dt +

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Q: Find the area of the surface generated by removing about the x-axis the upper half of the ellipse…

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Q: 5. A binary operation a*b = a + b (logical operation IF-AND-ONLY-IF) defined on {True, False} is A.…

A: truth table for if and only if

Q: 12. Which of the following is submonoid of (Q, *) where a*b = ab? A. (Z, *) C. ({0}, *) B. (R+, *)…

A:

Q: 5 -2 a.) [² 1 0 1 b.) [5 2²2 31 -5 5 8 040 c.) [0 204] 4020 -2 0 -4 1 0 -4 1 11 2 20

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Q: A +++++ 7 6 5 4 3 -2 The diagram shows the shaded region bounded by the curves y = x² + 2, y = 4 -…

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Q: 4. Evaluate the double integral: L Lade 1/3 27 +1 (Hint: Change the order of integration to dy dx.)…

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Q: 5.x-2y+z=0 2x+y=3z=5 4x - 7y+z=-1

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Q: For items 53-55. Refer to the graph below: B E F H 53. Using Kruskal's Algorithm, the last edge to…

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Q: Q4) Solve the boundary value problem y - 3y' + 2y = 0 with y'(1) = 1, y(3) = 2e¹ - e² h = 0.5 15

A: We have to Solve the boundary value problem y" - 3y' + 2y = 0 with y'(1) = 1,  у(3) =  2е4 - е2

Q: 8. The identity element of negative integers (Z-) under the operation * defined as a*b = min(a,b) is…

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Q: 5. A binary operation a*b = a + b (logical operation IF-AND-ONLY-IF) defined on {True, False} is A.…

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Q: Set up the iterated double integral in polar coordinates that gives the volume of the solid enclosed…

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Q: If F(x) = [~√4t a. F'(1) b. F(2), by interpreting F(2) as an area √4t-t2 dt, evaluate the following:

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Q: Let f and g be the following functions. f: N→ P(N) - {0} defined by f(x) = {n: n € N and x ≤ n ≤…

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