If the roots of the quadratic equation x² + px + q = 0 are tan 23° and tan 22°, then find the value of q-p.

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Q: 23. An open water tank with height 6 m and diameter 2 m is filled completely. A) calculate absolute…

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Q: (a) (b) Q4. L-¹ ¹8(8²-1)} = cosht - 1 [cos 2t - 1] (c) (d) 1 - cosh t (sin 2t - 1]

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Q: B: Solve the second-order difference equation y[k + 2]- 5ylk + 1] + 6y[k] = 0 Take >[0] = 0 y[1] = 2

A: What is Difference Equation: Difference equations are forms of mathematical equality that involve…

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Q: If a 3 are ordinals and a C 3, then a € 3.

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A: As per guidelines, I can do only first question (with all subparts)

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Q: 3. (Sinx, Sinzx, 4. for the given vectors find the value of normalize W+V π = (1, 1, 3) V = (3, 1,…

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Q: Consider the following vector field ? = 2?(2 + sin^2 ?)?̂ + 2? sin ? cos ? ?̂ + 7??̂ a. Compute the…

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Q: 20. The slope field shown below is for the differential equation ހހހހހ O y' = 2x O y=4-2x O y'=y…

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Q: A filter F on S is an ultrafilter if and only if it is maximal.

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Q: DE 1. (1-x)y'-4xy +5y = cosx d'u du 2. at 3. d²u कर = d³x dx d²x +(4t-1)- +sin t - dt² dt dt3 4.…

A: To identify the type,order,degree, linearity if give differential equation.

Q: In the following problem apply the eigenvalue method to find a general solution of the given system.…

A: Given That : x1'=x1-5x2x2'=x1-x2 To Find : Particular solution and also construct the direction…

Q: The following is a partial table of values for f = f(x). f = f(x) 5.5 4.6 0 5 10 1.8 15 -3.4 20 -7.8…

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Q: .) Compute the flux of the vector field F = 4x + 4yj through the surface S, which is the part of the…

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Q: 8. (a) Solve (+1)(x-3) 20. (z+4) (b) Prove that cos 2x = Use this identity to show that tan 67° = 1+…

A: I have to answer part 8(b) as you have mentioned. To prove cos2x=1-tan2x1+tan2x

Q: If |Xn+2 − Xn+1| < |¤n+1 − xn| for all n E N then (xn) converges. -

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Q: Consider the linear program Maximize the value of 2x1 - 3x2 among all vectors * R² satisfying 21 > 0…

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Q: Consider the integration of f(x) = 1 + e* sin(4x) over the fixed interval [0, 1]. Apply composite…

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Q: (a) Draw a graph with nodes representing the numbers 1, 2,..., 10, in which two nodes are connected…

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Q: d) If Quixote Media had the smallest net profit, then Acme Computer had the largest annual revenue.…

A: We shall discuss the truth values of the given two statements in detail. Please see the next steps.

Q: A 2 3 4 5 5 2 6 5 5 14 10 8 -3 2 14 4

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Q: PLEASE DO THIS TYPEWRITTEN ONLY FOR UPVOTING AND SKIP THIS IF YOU ALREADY DID THIS. THANK YOU MONEY…

A: The piecewise function representing the given scenario is: fx=95            ,   if x≤1500110…

Q: Let g(x) = a + a₁x + a₂x² + a3x³ and f(x) = √√g(x), f(x) has its non-zero local minimum and maximum…

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Q: Question 1 (a) Evaluate the integral x sinh(r) da.

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Q: The table below gives, for a certain man, his height H = H(t) in inches at age t in years. t = Age…

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Q: 2. Find the general solution of the differential equation. field, defined by the differential…

A: What is Slope Field: Slope fields are a graphical representation of the solutions of a first-order…

Q: triangles a.) (2, 1), (3, 5), (-2,-4) answer: b.) (-3,-1), (3,5), (2,6) c.) (6,2), (1,5), (4,4) -…

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Q: C-1 Q3. L-¹ In (a) (b) (c) (d) s² +4 S 2 sin 2t - 2 t cost - 1 +4} t 2 cos 2t - 2 t 2 - 2 cos 2t t

A: Inverse Laplace transform

Q: Find the degree of the splitting field of x^2-3 over Q.

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Q: (a) What is the symmetric difference of the set Z+ of nonnegative integers and the set E of even…

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Q: 25. Determining Whether Events Are Disjoint a. If P(A) = 3/11, P(B) = 4/11 and P(A or B) = 7/11,…

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