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Q: 9. Solve. a) 4+6(4 *)= 5 b) 2(5) + 2(5) = 4

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Q: If f(x) is a continuous function such that it is increasing on [1, 3], then Si f(x)dæ is less than…

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Q: -3a 36)-216 3- 2 3p x²-e3x. 時le). ex² =e12

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Q: 3. у'sec'xdx - (1- 2у'tanx)dy - 0

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Q: 5. (a) Complete the following unit circle. 0 or 27 11л 6 (b) Use the unit circle above to evaluate…

A: on circle unit are angle        unit 0              (1,0) π/6          (0.866 , 0.5) π/4…

Q: y = 2xy – x y = e*C + } In(2y – 1) = –x²+C Option 3 Option 2 In(2y + 1) = -a² + C O Option 4 O None…

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

A: Use property of polynomial for evaluating the integral.

Q: The following curves bounds a certain area: = 4x – x2 - = 4 and x = -2 %3D etermine that area.

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Q: The number of bacteria in a culture is increasing according to the law of exponential growth. The…

A: N(t) =N0 ekt  ...(1)N0 =260N(1)=260 ekN(8)=260 ek8N(8) =2 N(1)260 ek8 =2*260 eke8k =2 eke7k =27k =…

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Q: 9 checik whether the following statemects are true or False. lif En an is conditionally convergent,…

A: For (i), Let us take an=(-1)nn. So, the series ∑n=1∞an is conditionally convergent but ∑n=1∞an is…

Q: 1. Differentiate a trig function that is greater than a power of 1, and involve either quotient,…

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Q: Consider the function f(x)f(x) whose second derivative is f′′(x)=9x+10sin(x). If f(0)=3f(0)=3 and…

A: We have to find f(x) and find f(3) using given intial condition

Q: 8) Find the cross product a x b and verify that it is orthogonal to both a and b. a = (1, 1, -1),…

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Q: rectangular flower garden with an area of 390 m2 is surrounded by a grass border 1 m wide on two…

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Q: A storage shed is to be built in the shape of a box with a square base. It is to have a volume of…

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Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. (-1)"…

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Q: 1. Find the next item in the pattern. 1, 2, 3, 5, 8, 13, . .

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Q: Given the piece-wise function x² – 2x + 5, 3x2 – 2x – 5 f(x) = 0 2 Determine whether f is…

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Q: Use any test to determine whether the series is absolutely convergent, conditionally convergent, or…

A: The given series,        ∑n=2∞-1n ln nn

Q: 22-4 Evaluate lim x→2 x-2 Submit

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Q: dy + 74 - 7y = 0 dx 1st order, 1st degree O 1st order, 3rd degree 3rd order, 1st degree O None of…

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Q: I. Find the derivative of y with respect to x. Use the given relation in its implicit form. d?u 3.…

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Q: (a) Find the dimensions of a box with a square base with volume 27 and the minimal surface area.…

A: This is an optimisation problem, we use derivatives to find critical points and use second…

Q: Use hooorthms to Solve. 18103+x= हा c\ २ ५६.

A: The given equations,17. e3x=1018. 103+x=23

Q: A webassign.net The owner of the Rancho Grande has 2980 yd of fencing with which to enclose a…

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Q: Consider the following function and express the relationship between a small change in x and the…

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Q: 4. y = csc x sin x + (sec? x + tan²x)

A: I have stated the used formulas in the solution

Q: 4. Determine the phase shift and the vertical displacement with respect to y = sin x for each…

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Q: thea calcudeator to lach to the near1sk thousandth tHog124 20) 10gs 10.818

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Q: Solve for the indefinite integral of the given. Upload your solution before moving on to the Type N…

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Q: Describe the solid represented by the integral. That is, clearly identifying any functions, bounded…

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Q: Find the length of the following parametric curve. x = 6 + 916, y = 5 + 6t°, 0<t < 2.

A: solution is given below

Q: Find the particular antiderivative that satisfies the following: H'(x) = 6/x^3 - 10/x^6 ; H(1) = 0…

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Q: 6k k! x Find the radius of convergence of2 k=1 (3k) k = 1 The radius of convergence is (Type an…

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Q: The public health authorities of a small town have divided the population into three categories:…

A: Note: There are multiple sub questions. No specific question has been asked. So, We will solve the…

Q: 16. а — - (V3, 1), ь %3 (0, 5) b = (0, 5)

A: Given query is to find the angle between the Indicated vector.

Q: (2² + y?) da + aydy = 0 %3D O Option 1 O Option 2 1. Option 3 Option 4

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Q: Use the arc length formula to find the length of the curve y = 36 - x2, 0 s x S 6. Check your answer…

A: y=36-x2   , 0≤x≤6let f(x)=36-x2  Then  Arc length =∫061+(f'(x))2dx…

Q: Curvilinear asymptote of y= x^2 / (x-1)

A: Given query is to find the curve linear asymptot.

Q: Using the theorem on determinants, show that a² |1 A = а b b2 (b – a)(c – a)(c – b) 1 c2

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Q: DDetermine whether the following integral.is convergent ordirergento If the integral Converges,…

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Q: dx + (x – y + 2)²dy = 0

A: The objective is to solve the differential Equation.

Q: 3 dx Vェ(エ+1) x(x +

A: The given integral is: I=∫0∞3x(x+1)dx...(1)

Q: g³dx Vx² – 16 -

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Q: 3. y = tan(sin 2x)

A: Please see the answer below.