Solve the initial value problem y(t) = dy dt Y t + 1 + 4t² + 4t, y(1) = − 1

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Q: 1. €²¹5²2 + 4) ==—=— 'sin2 2-1(1 s(s² +4 0 10-10-5 S+3 sin2t.dt -3(1-1).

A: As per our guidelines we are supposed to answer only one question. Here question 1) answered.

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Q: Q' (t) = (b) Find th

A: Note:- pound is also denotes by lbs.   Let Q(t) denote  the quantity (lbs) of salt at time t(min)…

Q: 3. Find the constants bo, co, a1, b1, C₁ so that So(x)=1+ box + cox² + x³, S(x) = { S₁(x) = a₁ - 2x…

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Q: Consider the function f : [−2, 6] → R, x→ f(x) = 2x3/ [√(x2+8)+2]. i) provide argument why this…

A: This is the question of Real topology, and real analysis.

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Q: Consider the function of two variables F(x, y) = − 2 x² – xy – 2y². ´+z+y.

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Q: N 7. A. 1 2x²-1 8. A. I and II only If_f(x)== 1 B. 0 If 90°sin y COS X>COS y tan x<tan y B. I and…

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Q: 7. For the following function: 4 • <t<l ..f. (.t.)..=. [² 1<t <2 b. Find the trigonometric Fourier…

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Q: ..y yun.. 40mA B: Give the prime factorization of the number 34417

A: 34417= 127×271 The only divisors of 127 are 1 and 127 itself this implies that 127 is a prime…

Q: Example Test the canvergence of the Sollowing Series: { In mo √n n = 4

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Q: 3. g(t) = [e-4t+8 sin(3t — 6) – 3t³] u₂(t) - -

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Q: Which one of the followings is true? a. Compactness is a topological property however, connectedness…

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Q: 1. Solve given separable differential equation: y' + 2x(y² - 3y + 2) = 0

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Q: ADVANCED MATH (Please "write" the solutions leigibly and correctly. No long explanation needed. Rate…

A: Solution : For both investors 1,3 - They need at least 10% return and both investments gives, 10,…

Q: 8 8 α Ω Un R Ω

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Q: Q.IB) Show: MEX sin dydx sin

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A: Introduction: The Fibonacci series is a series (sum) formed by Fibonacci numbers denoted as Fn,…

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A: The First 8 consecutive even indexed Fibonacci numbers are: 2, 8 , 34, 144, 610, 2584, 10946,46368…

Q: [C 1. : Two vectors, F1 = 50 N and F2 = 60 N, have directions as shown in the figure below.…

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Q: not a Field Always because if we take the ideal I = : Z₂ —————→ Z₂ such that y(x) = { 1 if x is odd…

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Q: not equal to (2 ni•3)•(2•4

A: Introduction:   Multiplication is a mathematical operation that represents the fundamental concept…

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Q: Find the order and degree of exy" - 3(y¹)² + 2xy = xe^ and write the differential equation in noxmal…

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Q: (D" - 8D²-9) y = 50 sinher

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Q: 1) In an Integral domain, Show that the right cancellation law holds 2) If (1+x) is an idempotent in…

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Q: ADVANCED MATH (You may use excel for solving. Rate will be given.) See the following system of…

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Q: If matrix M is equal to  2 3 0 1 2 3 0 -1 -5 then, the inverse of matrix M is equal to -7 ? 9 5 ?…

A: Let us consider the matrix A Then the inverse of the matrix is obtained using augmented matrix…

Q: Find the area bounded by the parabola x=8+2y-y², the y-axis, y=-1, and y=3 A 92/6 s.u. B 92/4 s.u.…

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Q: solve the equation day + (2 corx + tanx) dy + y cau²³x = costic dx² Jx by changing the independent…

A: Given differential equation d2ydx2+2cosx+tanxdydx+ycos2x=cos4x…

Q: ܗ ܩ ܘ ܩ ܗܗ ܗ - 3 ܘܘܟ -T

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Q: 3. Determine is that equation exact or not and then if equation is exact solve it by using the…

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Q: the solutions leigibly and correctly. No long explanation needed. Rate will be given) How many…

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Q: are nonzero integers. Then gcd(a,b) = min{ma +nb : m,n ∈ Z and ma+nb > 0}. Furthermore, every common…

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Q: ૦.૫૦૬૫૫) 1.2529636 0.9162907 1.3862944 1.0986123 1.7917595 1.6094379 3.5 1.5 3 2.5 ૫ 5 a. find an…

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A: This is a question of Abstract Algebra.

Q: Say whether the following statements is true or false sin2t.dt 2-1(1 ~-²¹ (5(5²2 + 4) ==—=— 'sin2 +4…

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

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A: To determine the selling price that would have resulted in the largest annual revenue.

Q: d)x²-3x-4 =0 has no solution in Z7 4) Let I) 2x-10 in Z[x] II) 2x-10in Ox] III) 2x-10 in Z₁₂[x] One…

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Q: Exercise 2. Obtain expressions for all first and second derivatives of the function of two variables…

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