√²2² √(-2² + 1)³ dz

Q: A particle is moving along a horizontal line such that its velocity in m/s is given by v(t) = 2t²…

A: A particle is moving along a horizontal line such that its velocity in m/s is given by vt=2t2-16t+30…

Q: Determine the intervals on which the function is concave up or down and find the points of…

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Q: 4. If a 32 foot chain is hanging (balanced) on a metal peg on a wall. At time t=0, with the chain…

A: Given that,

Q: Determine whether the series k=1 3\k-1 converges and if so, find its sum.

A:

Q: (x² - 12x + 9) dx (x²-3x + 2)² 2. √(x²

A: Given: I=∫x2-12x+9x2-3x+22dx   As we know that; The Power Rule: ∫ax+bndx=ax+bn+1an+1+C And…

Q: (Requires a short but nontrivial geometric Let ABC be a triangle argument.). with angles…

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Q: The Philippine Postal Service will accept a box for domestic shipment only if the sum of its length…

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Q: Find the Integrating Factor (I.F) of the following linear differential equation: (1 + ²) + y =…

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Q: 5(-6)+(-4)(-1)/2^2-3+(-1)

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Q: Find fx (x,y) and fy(x,y). Then, find fx(-1,-4) and fy (-3,2). 32 f(x,y) = 4x³y² fx(x,y) =

A: We have to find partial derivatives of Given function.

Q: II. Evaluate the following integrals. 1. 1 - coth² (log₂x) x cosh (log₂ x) -dx

A: The integration of the integral is;  [1-coth2(log2x) ]/[x cosh(log2x) ].

Q: 4. Let sinx = Ź (-1)" x²n+) 2n+1 n=d ♦ a) Find a paver series for xsinx, Differentiate the power…

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Q: Find the equation of the plane containing the points (0, 1, 3), (2, 2, 2) and (3, 2, 1)

A: Given: points (0,1,3), (2,2,2), (3,2,1) Find: equation of the plane containing given points

Q: Let f(x, y) = (x³ − x)(y² – 1). Find fry(x, y).

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Q: What is the volume in cubic units of the solid formed when the region bounded by y = 2x + 1, x-axis,…

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Q: S 2sin(4x +9)dx

A: Given query is to find the integral.

Q: 3x(xy − 2)dx + (x³ + 2y)dy = 0; f(1)=2 Find the positive root of y at x=2. Use 2 decimal places.…

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Q: 3. +∞ 8 -∞ dx x² + 1

A: Given ∫-∞∞dxx2+1To evaluate the integral:

Q: Evaluate the integral cosx dx from í/3 to π/2 * 0.134 0.500 0.293 0.707

A:

Q: Evaluate the improper integral or state that it diverges. P -dx Select the correct choice below and…

A: The given integral is: I=∫2∞32x2dx   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1 And…

Q: dy √y+4-2 5. S

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Q: Given that R' (t) = 2ti — 2j + 3t² k and R(2) = i + j — k, then R(t) =

A: The objective is to find R(t).

Q: Evaluate the multiple integral. * 131-x² SS S dz dy dx 100 0 2/3 5/3 4/3

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Q: ¹In(1 + x) -dx X

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Q: Find the surface area generated b rotating the portion of the parabolic arc x = y^2 from x = 0 and x…

A:

Q: 6. How many outfit combinations can be put together from 6 shirts, 3 pairs of pants, and 4 pairs of…

A: Total shirt = 6 Total pants = 3  Total shoes =4

Q: 10x-3y For the function f(x,y,z)= 8z + 1 fx=0 find fx. fy. fz, and fyz-

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Q: (a) Find the vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a…

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Q: What is the y-coordinate of the centroid of the plane region bounded b y = x^2 - 4 and y = 2x - x^2…

A: Y coordinates of centroid of plane is given.

Q: -0.03t The function f(t) = 9000 e represents the rate of flow of money in dollars per year. Assume a…

A: Given that,

Q: What is the volume in cubic units of the solid formed when the region bounded by y = x^2 + 1.…

A: Here, the region bounded by the curves y=x2+1, y-axis , x-axis & x=2 is: which is rotated…

Q: 6. A family wants to build a fence in their backyard for their dogs, Charlie and Linus. The enclosed…

A: Given:     Area = 4000 sq meter

Q: fsec³ 7x tan5 7x dx 4.

A: Let's solve given integration.

Q: Find fx (x,y) and f, (x,y). Then, find fx(1, -2) and fy (-3,3). f(x,y) = -2xy +9y² + 10 fx(x,y)=

A: We can find the answer as below.

Q: Find the volume of the sould generated by revolving the area bounded by the _given curves about the…

A: Let's find volume of solid (V) = ?

Q: A group of management students are creating a business plan for their proposed shoe brand…

A: We have to find the marginal profit when 100 pairs are sold, production level so the average cost…

Q: 4 -dx converges or diverges, and find the value if it converges. Determine whether the improper…

A:

Q: Please

A: If d(t) is the distance object moved in time t.

Q: 3 4-3x S²³ So dx dy

A: To evaluate the given double integral.∫03∫04-3x dx dy

Q: A real estate firm estimates that the value of a certain property will be given by the function 517…

A: To solve the following problem

Q: Using Laplace transforms, solve the initial value problem y" − 2y' + 10y = 0, y(0) = -3, y'(0) = 3.…

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Q: S 1 C=S²x + Sin'x

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Q: Life expectancy in the United States has been rising since the nineteenth century. The table shows…

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Q: Volume of Solid of Revolution Submit a pdf file of your handwritten solutions to the problem.…

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Q: If (2, 1) is a critical point of f and fzz(2,1)ƒyy(2, 1) < [ƒzy(2, 1)]², then ƒ has a saddle point…

A: Here, the given statement is: If (2,1) is a critical point of f and fxx(2,1)fyy(2,1)&lt;fxy(2,1)2…

Q: Find y'. Show the step-by-step solution. Simplify your answer. 2x 1. y = In 4x²-1 2. y = log(tan x³)…

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Q: c4 So So (6x² +9y²) dx dy

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Q: x² + x 1. lim x++∞ e²x + Inx 2. lim (sech 2x) esch x² +0+x

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Q: 1. Let 1 + x = +0 (-1)^ xn no Find a power series representation for 1+3x²

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Q: Using the shell method, what will be the equation of the volume of the solid formed when the region…

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