da = 1+ ey-a+5 || e5 + e#+y C = xe-5 – e-y Option 5 Option 1 C = xe – e-y ea-y None of the Choices Option 4 C = xeš + e"-y Option 2

Q: Application

A: We will find the area with the largest dimensions. 

Q: Your task is to design a rectangular industrial warehouse consisting of three separate spaces of equ...

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Q: Determine the limit of the sequence or show that the sequence diverges by using the appropriate Limi...

A: We can solve this as follows:

Q: af If f(x, y) 3x+7y (3x-7y) then is given by: 42y (3x–7y)² 21y (3x–7y)² 42y (3x-7y)2 21y (3x-7y)² -

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Q: en the graph of the function and the x-axis over the given interval, using the prem of Calculus – 2 ...

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Q: 552 – 4 I(x)= £2 + 1 |1 – 45| 12 – 1,000 f(x) = 5 4r2 – 6 1– 452 m(x)= |4s – 1| g(x)= -4 g3 – s2 + 4...

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Q: Find the area enclosed by the curves y=sin(x), y=cos⁡(x), and the two vertical lines x=0 and x=π/2

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Q: 2. Differentiate a sine and cosine function that involves product and chain rule. Find the equation ...

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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 di...

Q: (2x – 3y +1)dx – (3x+2y-4)dy = 0 %3D

A: The objective is to solve the above differential equation.

Q: Determine the limit of the sequence or show that the sequence diverges by using the appropriate Limi...

A: an=7n2+n+24n2-3limn→∞an=limn→∞7n2+n+24n2-3           =∞∞(indeterminate form)          =limn→∞n2(7+nn...

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

A: Area of garden =390m2vertical height of garden = hthen length of other side of the garden is 360hThe...

Q: 9, dx 3+x4 1 3C

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

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Q: b. Find all solutions, if any exist, by using Gauss – Jordan reduction method.

A: Follow the procedure given below.

Q: x2 + x + 1 xp Jo (x+1)2(x + 2) 2]

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Q: 3 Approximate dx using 6 rectangles. +2 It is approximatley. (Round final answer to 3 decimal places...

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Q: True or False. If the statement is true, write TRUE and provide a proof. Otherwise, write FALSE and ...

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Q: dy dæ3 +7 - 7y = 0 dx O 1st order, 1st degree O 1st order, 3rd degree O 3rd order, 1st degree None o...

A: To determine the order and degree of the following differential equation.xd3ydx3+7dydx-7y=0 

Q: dy dr (1+x)y = xy²

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Q: What point on the line y = 7x + 10 is closest to the origin? ... Let D be the distance between the t...

A: We will find the point and the objective function. 

Q: 10. y = -3 cot 2x, 2nd derivative

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Q: Evaluate the integral: S (3x-3 + 3)dx Choose the most appropriate answer. ○ 응z + 3z + C O 2x5 + 3x +...

A: ∫xndx=xn+1n+1+C , C is a constant and for any real number n.

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

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Q: Determine the equation of the line that is tangent to y = elan (2x) at x = 8

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Q: Find the following using the table below. 12 3 4 f(z) | 2 3 1 4 f'(x) | 31 2 4 g(x) 3 4 2 1 g'(x) | ...

A: Given data

Q: firms production function is Q ( L) = 15L2 - 0.1L2, where output (Q) is a function of a single input...

A: Find your answer below 

Q: find if w= fcusu)ou=X+y Wxy xy Express the of u,v, fu , fv V= an Swer interns

A: Solve the following

Q: The function f(x) = 2x + 1 is defined over the interval [2, 5]. If the interval is divided into n eq...

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

A: Here we have to find the volume generated by rotating the region bounded by the given curve about y=...

Q: y aln(a) – y = 0; y(2) = In(4)

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

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Q: Find the absolute maximum and minimum values for the given function over the specified domain. f(x) ...

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Q: The integral of the given function S cos$3ydy is a. sin 3y +sin 3y +sin 3y + C b. sin33y-중sin"3y + 는...

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Q: Use the method of reduction of order to find a second solution of th differential equation ty"-4ty' ...

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Q: Find the indefinite integral. (Use C for the constant of integration.) cos. de e2

A: We will find the indefinite integral as following.

Q: (1+ ye" + xye²)dx + (xe² + 2)dy = 0 C = xye – 2Y – x None of the choices Option 4 C = xye" + 2y – x ...

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflect...

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Q: Determine the equation of the line that is tangent to y = elan"(2x) at x = 8

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Q: 14 es Approximate (x - 5) dx using 4 rectangles. om It is approximatley. em (If necessary, round to ...

A: Solve the following

Q: Given that f(2) = 6, f‘(2) = − 1/2 and f‘’(2) = 10, what is the most accurate Taylor polynomial appr...

A: f(x) =f0(2)0!(x-2)0+f1(2)1!(x-2)1        + f2(2)2!(x-2)2f(x) =f(2)+f1(2)(x-2) + f2(2)2(x-2)2

Q: B a A Note: Triangle may not be drawn to scale. Suppose a = 2 and b 11.

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Q: Assignment: Determine the derivative of the ff. functions. 1. y = 8x5 - 2021, 5th derivative 2. y = ...

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Q: 2. b. lim a Csinza +cosa sin29) のッb ト Co」?a

A: find limit

Q: 4. Find all points on the curve y = log (x³ – x) at which the tangent line is horizontal.

A:  We will find all the points on the curve at which the tangent line is horizontal using calculus as ...

Q: _8. Water is pumped into a spherical tank at a rate of 3 cubic feet per minute. Which is the correct...

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Q: O y" + xy" + 3y² = 5

A: Given that the four differential equations To find:- Which is 3rd degree differential equations

Q: -4 If possible, express w as a linear combination of the vectors v1, v2 and v3. Otherwise, enter DNE...

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Q: 7 Compute the exact value of cos (금) Suppose that - is an angle in quadrant 2 and that cos y = 25 co...

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Q: 25 The fundlion fox) is represented in the following table. Give the best estimate for f(x)dx 10 10 ...

A: ∫1025 f(x)dx here values are different for different interval ∫1025 63+82+115+120dx ∫1025 380dx [380...