12 log (a cos 0+6° sin 0) do=T log (a+b a>0, b>0. 2
Q: a) By using integration by parts, find the integral Inx dx. b) Hence, find In Vx dx.
A: We have to apply the integration by parts.
Q: G6. Write down the adjacency list for the graph above:
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Q: Q1: Find the distance between the given Points: (2V3, 4) & (-V3, 1). • (a, b) & (0, 0). Q2: Test the…
A: According to our guidelines we can answer only one question and rest can be reposted.
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Q: A. Find the measure of the angle marked x in th 1. 85 4. 120 2. 5. 80 /105 3. 128 83°
A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…
Q: G11. Can there be a graph with 8 vertices and 29 edges? Justify your answer.
A: Solution :-
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A: Some of the properties of Laplace L-1aF(s)=sf(t)L-1F(s)+G(s)=f(t)+g(t)L-11s-a=eat
Q: Verify Initial and Final value theorem for the function. f(t) = 2 + 3 cos t.
A: Given function is ft=2+3cost. We have to verify the initial and final value theorem. Initial value…
Q: 4. Show that v2 ¢ Q(v3) and Q(v2, v3) = Q(/2+v3). Hence find the mmp of V2+ v3 over Q.
A: Given: Let's determine mmp of 2+3 over Q
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A: The person needs 1 shirt, 1 pair of pants, 1 skirt and 1 pair of shoe to make a proper outfit. The…
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A: The bisection method is based on the theorem If a function f is continuous in the interval [a, b]…
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Q: Problem 1. Prove that A → BF (Vx)A → (Vy)B, if y is not free in B.
A: To prove: A→B⊢∀xA→∀yB, if y is not free in B.
Q: (c ) Find the S(sin q + cotq – e5q+1 + q5) dq 11 2x+5 (d)Using the method of Partial fractions find…
A: According to our guidelines we can answer only one question and rest can be reposted.
Q: 1. A college freshman must take a science course, a humanities course, and a mathematics course. If…
A: Given : Number of science course= 4 Number of humanities courses =3 Number of Mathematics course=2
Q: Define the seqeuence {an } as follows: bo = 1, b1 = 2 %3D br :2bx-1 – bx-2 for k > 2 Use strong…
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Q: Let f(n) = n and g(n) = log2 n. Show that g E 0(f) but ƒ ¢ 0(g). %3D
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Q: s(s² + 4) - f(t) = ;(1 – sin 2t) . f(t) =(1 – cos 2t) C. f(t) = (1+ sin 2t) D. f(t) =(1+ cos 2t)
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Q: (1) If volume is high this week, then next week it will be high with a probability of 0.8 and low…
A: Given: Let us consider the given, Take 1 as high and 2 as low Then the state space,S=1,2
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Q: (Hölder's Inequality
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Q: countable in number, such that
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Q: 2. Elen Serug needs P70,000 to repair her roof. Find the face value of the note that will provide…
A: To find- Elen Serug needs P70,000 to repair her roof. Find the face value of the note that will…
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Q: Make a table of the nonzero remainders b mod 5 vs. their squares b^2 reduced (also to a remainder…
A: To Make: Tables of the non-zero remainders b mod 5 vs. their squares b2 mod 5, b mod 7 vs. b2 mod 7,…
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Q: (a) Find an equation of the tangent plane to the surface at the given point. xyz = 20, (1, 5, 4) (b)…
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Q: od k. If k and k2 are induced moduli for x prove
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Q: Solve the following Differential Equation using Laplace Transform. y' – 3y = e-5t y(0) = 6
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Q: The maximum and minimum value of f(x,y) = 3x – 4y subject to the constraint x* + y° = 16 are %3D O…
A: To maximize the function f(x, y) subject to the constraints g(x,y)=C Determine the Lagrangian…
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Q: 1. Water is flowing in a trapezoidal channel at rate of Q = 20m³ /s. The critical depth y for such a…
A: The equation that satisfies the critical depth is as follows:…
Q: A (플) n (2프) %3D Cos dt?
A: This is the problem of differential equation.
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A: The equation of plane parallel to YZ plane
Q: 0. 11. If we buy 2 tickets from station A to station B, and 3 from station A to station C, we have…
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Q: G: S → ACA A→ aAa |B |C B →bB |b C→cC[2
A: X is nullable if it can produce a null word.
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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…
A: Here we use basic form of Lagrange Multiplier.
Q: whathis the chifHfeme betueen Cautinity gnal Vaitamıy Continity?
A: Use definitions to write the difference.
Q: 2. Find the centroid of the area bounded by y = 4x – x² and the x axis. a. Sketch the area and find…
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Q: Parents wish to have $150,000 available for a child's education. If the child is now 8 years old,…
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Q: How many factors does the number 223.048.980 have?
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Q: From its past behavior, John knows that the value of a stock has a cyclical component that increases…
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Q: UAing Runge - kutta mothod of fourth oxden Selve dy - - ithy (0)=1 at 2. Fx² 2. 2= 0.2,0.4.
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Q: Determine the monthly payment for the installment loan. Annual Amount Financed (P) Rate (r) $1000…
A: Here given P=$1000r=7.5% =0.075n=12t=3
Q: Given that ニえらin(inz) Solve 211 xg"-zy'+ay =o de termine the gpeneral golution? yend
A: Given that, the differential equation is x2y''-xy'+2y=0 and one solution is y1x=xsinlnx. Rewrite the…
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Q: Let f(x)=x^3+x^2-3x-3 a) Find the location of the roots. b) Find an approximation for the positive…
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