Q:5) A) Use the definition to determine whether the series converges or diverges 530+2 اسور

Q: Q1) find the critical point of the following equation - g(x, y) = x² + y² + 2xy − 6x - 3y + 4

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Q: Using the laplace transformation table, evaluate the following, considering any other variable other…

A: Let's solve laplace transform of function.

Q: Find the solution of the given initial value problem in explicit form. 1 y′ = (1 — 13x)y², y(0) = 6…

A: We can solve the given initial differential equation .

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Q: Using the laplace transformation table, evaluate the following, considering any other variable other…

A: Given x=t-4To find L{x.e-x}

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Q: 3t 2t - 1 1-t 1+t [][] 3 and B(t) = 51² 51³ t Verify the product law for differentiation, (AB)' =…

A: See the details solution in below

Q: Solve the following initial value problem using Laplace transforms. y"-9y=3e¹; y(0) = 0, y'(0)=1

A: Explanation of the answer is as follows

Q: 8-9 Let A = 2 3 (a) Find 5A +6B. 5A +6B = and B= 9-2 Complete parts a through d.

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Q: 7 22 +22=²-10 2x round to two decimal places

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Q: Q4/ Answer two from the following :- 4- Evaluate and change the order of integration in 1 = ²*xy…

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Q: Use the graph below to answer the question below: 5 4 y = f(x) 1 2 Find lim f(z). Be sure to read…

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Q: 8) S dx it sinx + cos x a) in (1 + tan =) + c b) In (i - tan £) + c c) - In (1 + tan x) + o 2 d.)…

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Q: 9+5d = 35-6 int equation (11) from To - 113 = 9+126 = 77

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Q: A particle is moving with velocity v(t) = t2-9t + 18 with dista seconds inclusive. The position at…

A: To find the time interval when partical moving right .

Q: Find the arc length of the curve y = 2/3 (x − 1) raise to 3/2 on the interval [2,3]

A: We have to find the arc length of the given interval [2,3] .

Q: State the order of the given ordinary differential equation. (sin e)y"" - (cos e)y' = 3 Determine…

A: The order of a differential equation is the order of the highest derivative present in the given…

Q: A radium decomposes at a rate proportional to the amount present. In 100 years, 100 mg of radium…

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Q: Determine whether the differential equation (4x² − 2xy + 6) dx + (2y² − x² + 4) dy = 0 is exact. If…

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Q: the solution of the given initial value problem. ty' + 2y = sint, y = 7, t > 0

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Q: 8 -9 9 -2 LOMA- [2 ²3] and B-[37] Let = B= 1 (a) Find 5A + 6B. 94-57 5A +6B = 28 21 (b) Find 6A-5B.…

A: Addition and subtraction of Matrices

Q: Find the general solution of the given differential equation. xdy+3y=x²-x dx y(x) = Give the largest…

A: The objective is to solve the above question.

Q: 2. gxc2x2+3 dx Selast & du 니 get x in terms of u ut 2x2 +3 4-3 = ㄹ x² 4-3 x = 이들 4-3 z soke har x…

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Q: Find the solution of the given initial value problem in explicit form. 1 y' = (1 - 7x)y², y(0) = 2…

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Q: 3. 플 I sincy) y dydx

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Q: Let A = 4 -8 -2 and B= 2 -3 6 0 and let x = 6-4 and y= sint. Find Ay and Bx. Are the products Ax and…

A: Given A = 40-26-83 B = 26-306-4 x = 3te-t y = t4sin tcos t

Q: dx √x²=2x+17 a) sinh xe ta 4 bì ninh XH + C 4 c) minh? X-1 2 d) none of the above

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Q: Find the derivative of f(y) = 2 sin y + sin² y and then use it to find all coordinates on the graph…

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Q: 2 Heather has a bag of 15 red, 11 orange, 9 yellow, 12 green, 6 blue and 11 purple markers. How many…

A: Heather has a bag of 15 Red ,11 orange ,9 yellow ,12 green ,6 blue and 11 purple. Find how many time…

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Q: 15. Yogurt containers can be shaped like frustums. Rotate the line y = x around the y- axis to find…

A: 15.   yougurt containers can be shaped like frustrums.Rotate the line y=1mx around the y-axis…

Q: Find the value(s) of k that makes the given function continuous. 4x 5 if x < k f(x) = { = x++1 ifk…

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Q: 2 x zsin(y) – y arccsc(z) = 0

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Q: Solve the given differential equation. All solutions should be found. dy 3x² - 4y - y³ 4x + 3xy² dx…

A: Explanation of the answer is as follows.

Q: Q2) find the absolut maximum values and minimum value of the function f(x, y) = x² - 2xy + 4y on the…

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Q: 2.) Determine whether the geometric series is convergent or divergent. If it is convergent, find its…

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Q: Q4:B/Simplify Moivre's theorem? [cos 30+ i sin30 15 [cos 0-i sine 1³ [cos 50+ i sin50 ] [cos 20-i…

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Q: First verify that the given vectors are solutions of the given system. Then use the Wronskian to…

A: Please see the below picture for detailed solution.

Q: 3) √ √6x-x² dx a) 12 (x-3) √ 6x-x² + 2 arcain 2/ arcain X=² X-3 te 3 (x+3) Gx-x2+gain x3tc 3 c) —…

A: solution

Q: 2 dy 67 +13

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Q: - Find the area between the parabola x² = 4y and the straight line x-2y + 4 = 0

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Q: WEEK 8 LESSON 3: Finding Circumferenc 0 LEARNING TASK 1 Ma'am Rona, Reese's teacher saw Piolo and…

A: Given Diameter=4m  Radius=2m  Solve the learning task

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A: ∫1e2(1-x)/dx2x here integration is given  ∫1e2 dx/2x - ∫1e2 dx/2 (1/2)[lnx]1e2 - [x/2]1e2 (2-ln1)/2…

Q: 3. A point P(3,0,5) lies on a plane that can be defined by the scalar equation Ax+By+Cz+ D = 0. A…

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Q: 5|2 X 1 If f(x) = X A. f(x) is continuous at x = 2 B. f(x) is discontinuous at x = 2 C. lim f(x) = 1…

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