Use spherical coordinates to evaluate the triple integral [[[ 2² + 3² + 2²dV, where E is the ball: z² + y² + 2² ≤ 36. E

Q: 6r (x²+3)²¹ 14. Given f(x). f'(x) = ²+3 (m). Write "none" where appropriate. (a) Domain of f: (b)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Use the following information to complete parts a. and b. below. Ιπ f(x) = sin x a == 6 a. Find the…

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Q: 3. For the following telescoping series, find a formula for the nth term of the sequence of partial…

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Q: F(s) = 1 3s-5

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Q: Convert the point (p, 0, b) = (4, :) 5T 5T " 3 6 expressions, or decimals to at least one decimal…

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Q: If $500 is invested at 4% interest, compounded annually, then after n years the investment is worth…

A: We need to find out that after 6 years what will be the invested amount become.

Q: Solve the given differential equation by undetermined coefficients. y" - 2y' - 3y = 4e* - 3 y(x) =

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Q: Find an equation of the tangent plane to the given surface at the specified point. z = y In(x), (1,…

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Q: How much of the sample remains after 20 years? Step 1 After 20 years we have the following. y(20) =…

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Q: A ball sits on the point (1,1) and touches the f(x,y)=5-(x^2+y^2). In which direction graph of will…

A: Here is the solution of the given problem.

Q: Verify that the given differential equation is not exact. (-xy sin(x) + 2y cos(x)) dx + 2x cos(x) dy…

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Q: yP=A ex+Bex шкатур

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Q: lim x→3 2+e* √sin(7x)+x+1

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Q: A baseball team plays in a stadium that holds 64000 spectators. With the ticket price at $10 the…

A: In this question we have to find the ticket price that would maximize the revenue.

Q: A 14 -13 -12 11 -10 -9 -8 -6 -5 -4 -3 -12 41 J 4 3 2 7 + -2 -3 -4- −5+ 2 3 4 3 6 The curve above is…

A: We have to find the equation of graph.

Q: Make a sketch of the region and its bounding curves. Find the area of the region. The region inside…

A: Consider the curve  r=4+3cosθ

Q: Find the inverse LaPlace transform F(s) = 2 4 35

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Q: Plot the point whose polar coordinates are given: (4, 3π/4). A) B)

A: Given point 4,3π4. Let us plot it in Polar coordinates

Q: Find the Cartesian coordinates of the given point: (r, 0) = (√3, 4). OA) (₁ (1/2, 1/³) 2 ○ (³,²) B)…

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Q: 1 (2+ √y)

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Q: The given differential equation is already in standard form, as the coefficient of the highest order…

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Q: 3. An air ambulance is travelling from Barrie to Toronto. Toronto is located 90 km [S5°E] of Barrie.…

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Q: Determine the partial fraction decomposition for the following expression 7x²-17x +38 (x+6) (x − 1)²

A: The given function is;  (7x2-17x+38)/[(x+6)(x-1) 2].

Q: Find the arc length of the following curve on the given interval. x=24t+8, y = 7t+3, 0≤t≤2 The…

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Q: Convert the point (x, y, z) = (-4, -2, 0) to cylindrical coordinates. Give answers as positive…

A: We can solve this as follows:

Q: (a) to x = 8. Find the area of the region enclosed by y = x² - 4x and y = 2x from x = -2

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: C Solve the differential equation by variation of parameters. y" + 3y' + 2y = cos(ex) y(x) =

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Q: The notion of an asymptote can be extended to include curves as well as lines. Specifically, we say…

A: a) The given function is: y=x2-3x-3. We have to find a simpler function gx, that the given function…

Q: Determine whether the given set of functions is linearly independent on the interval (-00, 00). f(x)…

A: Follow the procedure given below.

Q: Find the critical points of f(x) = x - x and apply the Second Derivative Test (if possible) to…

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Q: Find the exponential function f(x) = ax whose graph is given. 1x f(x) = ب | دن -3 -2 N WebAssign…

A: Here we have to find the function.

Q: If r(t) = (2e³t, 4e-3t, 4te³t), find T(0), r"(0), and r'(t) r"(t). T(0) = r"(0) = r'(t) r"(t) =

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Q: Find the exact length of the polar curve = 2 over the interv < T. Show your work. (No approximation…

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Q: Find the first partial derivatives of the function. aw ди aw Əv 11 - - W = er u + v8

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Q: 27. Calculate the work required to lift a 10-m chain over the side of a building (Figure 13) Assume…

A: We need to determine work.

Q: Find the determinant. W(x5, x²) = fot 2x = (x²)(5x4)-(2x)(x5) The Wronskian ---Select--- equal to 0…

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Q: Pectangular coordinates of a point are given. Plot the point. (-4, 3) y

A: NOTE: Refresh your page if you can't see any equations. . the given coordinate is

Q: Let P(n) be the statement. n is a multiple of 3 and Q(n) be the statement. n is a multiple of 5.…

A: We have to find the true statement.

Q: 3. Calculate (6x² − 6x³ + 5x² using synthetic division. — 12x + 1) ÷ (x + 2)

A: To do the synthetic division

Q: Use the integration capabilities of a graphing utility to approximate to two decimal places the area…

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Q: Match the graph of the above function with the graph of its derivative. O O O O O Customize and…

A: Given Graph

Q: Question 1 ť 2,0 5 -12 Use the graph of f(x), shown here, to determine the limits, when they exist.…

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Q: Question 4 Solve the rational inequality: 2x²-8x+15 xâ450+ ≤0, using a factor table...

A: Given problem:-

Q: Given the demand function q = 220-3p, calculate the elasticity of demand when p = 62. A. 0.46 B.…

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Q: Hnd an equation in spherical coordinates for the rectangular equation x² + y² = z² = 0 - Do not…

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Q: 19. A rectangular storage container is to have a volume of 44 m³ and has a lid. The length of its…

A: This question can be solved using the concept of maxima and minima.

Q: 2 x ln((2x)²) dx 1

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Q: (a) Evaluate the double integral Je emax{z²,y²} where R = {(x, y) |0 ≤ x ≤ 1,0 ≤ y ≤ 1} is the unit…

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Q: Solve the given differential equation by undetermined coefficients. y" - 2y' - 3y = 4ex - 3 y(x) =

A: We need to solve D.E.

Q: In 1960, the population of a town was 1313 thousand people. Over the course of the next 50 years,…

A: Let's find population in 2030.