Q is the region bounded by the graph of u(y) = the y-axis, y = 0, and y = 1. Find the volume of the solid of revolution 4 formed by revolving Qaround the x-axis. Submit an exact answer in terms of . Provide your answer below: V= units 3

Q: Write a polynomial with a leading coefficient of 1, degree 3, that has zeroes at x=6i, and x=-4.…

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Q: Let f(x) = x³ - 3x² - 1. Calculate the derivative f'(x) = Calculate the second derivative f''(x) =…

A: Note:- these are multiple sub parts and according to rule we can do maximum 3 sub parts so i am…

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A: Given graph:-

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Q: 77. f (x, y) = xy and D = = {(x, y)| − 1 ≤ y ≤ 1, y² − 1 ≤ x ≤ √/1 − y² }

A: Explained below

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Q: QUESTION 3 2-1 Find parametric equation of line == +2 22=2²=== y + 3z = 23 Hence find its…

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Q: Suppose that f(x) = 15x - 8 In(x), x > 0. (If an answer does not exist, enter DNE.) (a) Find all…

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Q: Write a polynomial with leading coefficient 1, degree 5, zeros at x = i and x = 2 — i, that passes…

A: To write a polynomial with leading coefficient 1, degree 5, zeros at x=i and x=2-i, that passes…

Q: 22 Which of the following is a normal vector to the plane which is parallel to vectors (4, 1, 0) and…

A: Let's find normal vector to the plane which is parallel to given both vectors.

Q: (a) Where does the normal line to the ellipse x2 -xy + y2  = 3at the point  (-1, 1)intersect…

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Q: Find the surface area of the part of the circular paraboloid z = x² + y² that lies inside the…

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Q: Convert the equation from polar to Cartesian r²sec² +4rcos-r² tan² = 0 a) b) r = 3 sint cost

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Q: R is the region bounded by the functions f(x) = 1 - 2 cos (x) and g(x) = 2 sin (x). Find the area of…

A: Area of a region bounded by two curves is given by Area=∬dydx see below the answer and calculation

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Q: In the following exercises, change the order of integration and evaluate the integral. π/2 Z+1 ://…

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Q: Glorious Gadgets is a retailer of astronomy equipment. They purchase equipment from a supplier and…

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Q: A model for the yield Y(N) of an agricultural crop is a function of the nitrogen level N in the…

A: Given query is to find the nitrogen level for maximum yield.

Q: (₂x), _UIS L y = 7

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A: We need to find out the correct answer.

Q: QUESTION 14 For f(x, y, z) = x²y-z and F(x, y, z)=xi-xy j + z²k calculate Vf +Vx F.

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Q: Find the exact length of the curve. y = ²(1₁ +x²)3/2, 0≤x≤ 4

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Q: Which equation choice could represent the graph shown below? -10 9 8 7 -5-4-3/2 -1 Of(x)= x(x +…

A: We will find the required.

Q: y"" - 4y"+y+6y=0

A: Given :y'''-4y''+y'+6y=0

Q: matrix B was obtained from matrix A by interchanging two rows. If det(B)=x+y , what is det(A) ?…

A: Given:    detB=x+y Property of Determinant Function:   If B is obtained by interchanging some two…

Q: 8. Δ The series Σ(-1)* =0 k! (a) Converges absolutely (c) Diverges (b) Converges conditionally

A: D'Alembert test: Let us consider a series of real numbers, ∑k=0∞uk such that uk+1uk=l Then if l<1…

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Q: Find the scalar and vector projections of b onto a. a=(3, 6, 2), b=(3, 1, 1) compab= proj b=|

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Q: K Find the lines that are tangent and normal to the curve at the given point. x²y² = 64, (-1,-8) The…

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Q: [5/4 sin x dy dx

A: Here we have to find the double integral.

Q: Determine the solution for the following higher-order homogeneous differential equation. Also,…

A: Concept: In order to answer this particular question, we will employ the idea that the sum of a…

Q: 47-56. Derivatives of inverse functions at a point Consider the following functions. In each case,…

A: f(x)=log103x  ; 0,13 We have to find, ddxf-1(0)

Q: Solve trignometric equation a) cosetan e-cost=0 b) cos(2x)-gnx = 0 for 0≤x≤ 1/2

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Q: A storage shed is to be built in the shape of a box with a square base. It is to have a volume of…

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Q: lim(x,y) aproaches (0,0) (3x3y)/(x6+y2)

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Q: Which feature of the curve y = f(x) would also be a feature of the curve y = -(f(x))³?

A: Local maximum - the curve y=f(x) will have a local maximum at a point if the tangent to the graph…

Q: 2x x²-1 For #5-12, f(x) = 5. Find all x-intercepts (also called zeros or roots) of f 6. Use a test…

A: Note:as students asked 11 and 12 only so i have solved this question.

Q: xp (&/s* + ©)sex f

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Q: Sketch the graph of the function below, including correct signs, x-intercepts and y- intercepts.…

A: Here we have to plot a graph.

Q: Write a polynomial with leading coefficient 1, degree 5, zeros at x=i and x=2−i, that passes through…

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Q: System of linear equation + 2y + 2z = 12 X 3х - зу x by -3y - 2z = -9 +y +2₂=7

A: Given : Gauss-Jordan Elimination method

Q: 2. y" + 3y + y = (2-6x) cos x - 9 sin x

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Q: Determine which graph is the graph of f(x) if the following are true. = 0. f(x) has a horizontal…

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Q: dy da An equation of a curve is given by x ln y + y = 1. Which one of the following is Select one…

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Q: 3. Consider f(x) = on the interval [6,14]. Verify f(x) satisfies the conditions of √x-5 the mean…

A: Suppose that a function f is continuous over a,b and that f is differentiable over a,b. Then, there…

Q: If x < 1 (x2 + 1 x - 22 if x 2 1 (a) Find the following limits. (If an answer does not exist, enter…

A: We need to find out the limits.

Q: скоеалете 11 Tuesday # How many tangent lines to the curve y=x_q x-9 1 pass through the point (1,…

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Q: Write a function in any form that would match the graph shown below. -10 -8 -6 Answer: f(x) = 4 2 50…

A: Given query is to find the function of the graph.