Joe has a cube shaped box that needs to be filled with packaging materials. If the length of one side is 2 feet, then what is the volume of the box? O8 cubic feet 10 cubic feet O12 cubic feet 6 cubic feet 222 cubic feet

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A: Note: As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

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A: To find the unit normal vector  to  at .

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A: The given integral is:

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Q: b) y = ex³+cos x

A: To find the derivative of the following function.

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Q: 5 Calculate XkYk for the n = 5 data points (X₁,Y₁ ) = (2,4), (×2,V₂) = (3,5), (X3,Y3) =(4,8),…

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Q: Which of the following is an even identity? O tan(8) = sin(e) cos(8) O sec(-8)= sec (0) O csc(-8)=…

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Q: Starting at point A, a ship sails 18.2 km on a bearing of 188°, then turns and sails 47.9 km on a…

A: Starting at point A, a ship sails 18.2 km on a bearing of 188°, then turns and sails 47.9 km on a…

Q: (a) f(x) = (x¹/2+2-1/2) √In(x)

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

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Q: d da earctan(√2)

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Q: Determine lim (1+1) ². HIX Provide your answer below:

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Q: Tim X90 χε -3x

A: given limit

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Q: a) Find the function that satisfies this equation. Assume that t= 0 corresponds to 2006, when…

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A: The solution is shown in step-2

Q: Use the Squeeze Theorem to find lim (In(cos²x). sin()).

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Q: When demonstrating that lim 3x + 5 = 5 with = 0.1, which of the following 8-values suffices? I-0…

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Q: Solve the differential equation y' + y = e sec² x using integrating factors.

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Q: Solve the equation and inequalities. Write the solution sets in interval notation if possible. (a)…

A: To solve the following equation and inequalities.(a) (b) (c) (d) (e)

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Q: Find the arc length of the function f(x) = x³ +1 on the interval [0.1, 1] Dal

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Q: Q4: Solve the D.E x²y" - 2xy' + 2y = x²

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Q: d Without computing, can you guess the value of [sin x]? dx

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Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

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Q: 2 3 -1-3p² +p² +³p_dp -2 P

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Q: Find the extrema, if any, of the function f(x,y) = x²(2+ y²) + ylny.

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Q: X The function f is defined by f(x) = +2 What points (x,y) on the graph of f have the property that…

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Q: Determine whether or not the vector field is conservative. If it is conservative, find a function f…

A: We have to determine whether or not the vector field is conservative. If it is conservative, find a…

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Q: Consider F and C below. F(x, y, z) = yzexzi + exzj + xyezk, C: r(t) = (t² + 5)i + (t² − 1)j + (t² -…

A: And  ,

Q: 2x x/3 2 Evaluate the spherical coordinate integral 4p² sin & dp do do. 00 sec The value is (Type an…

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Q: Solve the given initial-value problem. x²y" + 3xy' = 0, y(1) = 0, y'(1) = 10

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Q: Determine a region whose area is equal to the given limit. Do not evaluate the limit. lim Σ Σ(1+2) i…

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Q: Calculate the integral of fox L²x ( ₁ - - ) * x. 10 3

A: Given integral is .It is known that

Q: 11. The interval of convergence for the power series n=1 (a) 2 (x-1)". n-3n

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Q: Evaluate cos(+3) using fundamental trigonometric identities. 4 o vž 8°F Partly sunny F1 O -√2 ! 1 Q…

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