* | 2x)cx csch (2 sin -1 V1-4x²

Q: 9. cos(x-)

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Q: Consider the function Z = 2x2(1 - e ) where x and y are given to be 6 and ln 6 respectively. Find…

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Q: 4. V21+4:-z dz

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Q: Solve the system of linear equations 3x-y+2z=-21 4x-2y+z=-31 -x+3y-2=11

A: We have to solve the system of linear equations.

Q: Substitute this expression for s(4) s(t) in the limit and simplify. lim t- 4 s(4) - s(t) 4 t lim t-4…

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Q: dy + y = y² sin x dx

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Q: 10. Find the first partial derivatives of the following functions (it is not necessary to simplify).…

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Q: Find Duf at P. f(x, y, z) = 6x°y°z*; P(1, – 2, 1); u = 2 ¿i + k - Duf i

A: Given that       f(x,y,z) = 6x5y3z4 ; P(1,-2,1); u=(1/3)I+(2/3)j-(2/3)k  Here we have to find Duf at…

Q: Find an equation of the plane through the origin that is parallel to the plane 5x – 4y + 6z + 10 =…

A: Here we have to find the equation of a plane.

Q: Determine whether each improper integral below converges or diverges. a dx 2. S Vax – x 2

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Q: (a) x = 6t,y = - 7+ 4t O (x, y) = (0, 6) + t{ – 7,4) ai + bj = -7j + t(6i + 4j) O (x, y) = (0, 7) +…

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Q: Let a = ci + jand b = 9i + 36j. Find c so that a and b are orthogonal. %3D

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Q: A farmer plans He needs dimensions would usé the least amount of fence? o equal piece a rectangular…

A: Given:    Area = 194400

Q: 285 16.

A: answer is in next step

Q: C/4 41. (x³ + x* tan x) dx 7/4

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Q: There are 14 children at a pirate-themed birthday party. You are going to draw four names from a hat…

A: By the knowledge of permutations and combinations we can approach this type of problems.

Q: Determine if the following statement is true or false. The lines L1 and L2 are skew. L :x = -1 + 2t,…

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Q: Follow the hint and solve the system. S2* + 2 l4* + 4Y 10 [Hint: Note that 4× = 22x = (2*)2.] 68 %3D…

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Q: 2T 26. cos e de

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Q: Find an explicit solution of the given initial-value problem. V1- y? dx - V1- x2 dy = 0, y(0) = . y…

A: Solve the following

Q: A closed rectangular box with a volume of 1296ft is made from two kinds of materials. The top and…

A: answer is in next step

Q: Determine whether the improper integral 3-2x) /2 dr onvergent or divergent.

A: We have to find the integral

Q: Evaluate/Find the following integrals. 2 4. S2-3 3 -dy 1 У +у 2

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Q: X-1 2. Evaluate dx. Show all steps of partial fraction decomposition. (x+5)(x+3)

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Q: Choose the graph of the function "arccot(x)".

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Q: The integral in this exercise converges. Evaluate the integral without using tables. 00 - 1 12 tan'w…

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Q: If f(r)dr = f(x)dr+ | f(z)dr - f(r)dr. 7. what are the bounds of integration for the first integral?…

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Q: 2. Find the center of mass of the four particles having masses 2, 3, 3, and 4 kg and located at the…

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Q: 8) Find a power series representation and determine the interval of convergence for 2 f(x) = 3 – x

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Q: Determine whether the lines are parallel or identical. x - 5 _ y + 2 z + 4 4 -5 x + 7 y – 13 z + 13…

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Q: Evaluate the integral below by interpreting y=f(x) it in terms of areas in the figure. A1 The areas…

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Q: x2- 1 If A = limx→1 х + 6x2 — 5 and B = limx¬c0 then х — 1 х4 + 6

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Q: Find the total area of the shaded regions. y=x√(36+x^2)

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Q: 37. f(x) dx where f(x) sin x if 0 < x< T/2 cos x if T/2 <x< %3D

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Q: b) x = 5 + 4t,y = – 3+ 5t, z = 6 – 4t O (x, y, z) = (4, 5, – 4) + t(5, – 3, 6) ai+ bj + ck = (4i +…

A: We have to find the correct option

Q: Suppose at t minutes, r(t) meters is the radius of a circular oil spill from a ruptured tanker and…

A: The given data is: rt=4t2+20,    if 0≤t≤216t+4,     if t&gt;2 To prove that r is continuous at 2.

Q: The population of a town grows at a rate proportional to the population present at time t. The…

A: Given query is to find the the population and rate of change of population after 20 years.

Q: 30. | (Зи — 2)(и + 1) du

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: 7 dx 5. S 2 2 3 xVx-4

A: We will solve the integration.

Q: v +3v° dv 35.

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Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 6 10 14 18…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: Find all solutions of the system of equations. (If there is no solution, enter NO SOLUTION.) S 3x² -…

A: topic - linear equations in two variables

Q: The lower edge of a mural, 12 feet high, is 6 feet above the observer's eyes. Under the assumption…

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Q: Find an equation of the plane through (-8, –4, –5) that is 2 = t, y + 3 | perpendicular to the line…

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Q: What is the a value of x such that sinx = .? 3 = 24.5° = 53.6° = 41.8° = 38.7°

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Q: Find an equation of the plane through the origin that is parallel to the plane 5x – 4y + 6z + 10 =…

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Q: t-1+2 dt

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: f(x)=x2-8x-9Differentiatef'(x)=2x-8