Suppose the region between the graph of y = x², the y-axis, and the line y = 3 is revolved around the y- axis. Using the method of disks, an integral expressing the volume is: 3 of my dy 0 3 I vidy O 3 of=²³² dr S.T. TX²

Q: 20. If you use the ratio test on the divergent series $ Σ2-1 =1 inequalities will result? n+4 A.…

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Q: A machinist is required to manufacture a circular metal disk with area 2300 cm². (a) What radius…

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Q: Element X has a​ half-life of 12 days.If we currently have a 29 ounce sample of Element​ X, how long…

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Q: Use the intermediate value theorem to show 2x^3+5x^2-3x-5=1 has a solution on the interval (0,2)

A: Given equation, 2x^3+5x^2-3x-5=1 That is 2x3+5x2-3x-6=0 Therefore given function, f(x)=2x3+5x2-3x-6

Q: Evaluate 6-2x-3y (2 2x dzdydx =

A: Topic = Integration

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

A: Concept: The region's volume after it was rotated around the x-axis V=∫abπ(R(x))2dx Where R(x) is…

Q: Given: A(2, -5, 2), B(3,3,-4) and C(-3,2,4) Point in the z axes that is equidistant to both A and B…

A: According to our guidelines , we can answer only first three sub parts. Kindly re-post other…

Q: Use the root test to determine whether the series converges or diverges. If the test is…

A: we need to find whether the series converges or diverges using the root test.

Q: 1 + 1 = 3 if and only if 2 + 2 = 3. True or false? If 1 < 0, then 3 = 4. True or false?

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Q: If f(x) = 3x² − 3x + 5, find ƒ'( – 5). Use this to find the equation of the tangent line to the…

A: Equation of tangent line

Q: * Evaluate (if possible) the six trigonometric functions of the real number. (If not possible, enter…

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Q: Given f(x) 2x + 5 x + 8 > verify f'(x) = a) State the domain of f(x): b) State the domain of f'(x):…

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Q: 15. Determine the particular solution of the following differential equation: y'=(2x+3)(y2-4) Where:…

A: Topic = Differential equation

Q: Use Intermediate Value Theorem to show 2x^2+5x^2-3x-5=1 has a solution on the interval (0,2)

A: Given equation, 2x2+5x2-3x-5=1That is7x2-3x-6=0Letf(x)=7x2-3x-6 Given function is quadratic equation…

Q: 23. Determine the particular solution of the following differential equation: y' 2y Where: x=1;y=1.…

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Q: For the following, find the function P defined by a polynomial of degree 3 with real coefficients…

A: If r1 ,r2, r3  are the zeros of a polynomial p(x) then p(x) = a(x - r1)(x - r2)(x - r3)

Q: X 7. lim 2 x→0+ x² +8x

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Q: Find the truth set of the predicate in the domain of integers. P(x): x^2 > x

A: The given statement is: P(x): x2&gt;x

Q: 1. Evaluate the following and give the exact value: -π/2 сosy π-y π/6 sin(y+z) dz dx dy

A: Topic = Integration As per guidelines , At a time only one question can be answered out of different…

Q: y' + y² sint = 0

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Q: a) Find the derivative using the definition of derivative: X 1 2 7 f(x) f'(x) 1 = ! b) State the…

A: Finding the domain of the function

Q: 54. Determine the particular solution of the following differential equation: y'= 2yx Where: x=1;y=1…

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Q: Which of the following is the general solution of the differential equation y' = y sinx. A. In…

A: Solving the differential equation

Q: Find the length of side x in simplest radical form with a rational denominator X 30° 4

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Q: Find the solution of the following DE. Show your complete solution 4.

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Q: V

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Q: Write an equation for line L in point-slope form and slope-intercept form. L is parallel to y = 2x.…

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Q: Find the derivative of h(t) = t cost + sint

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Q: Use the given conditions to write an equation for the line in point-slope form and in…

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Q: 30. Determine the particular solution of the following differential equation: 6y' = (2x + 1)(y² - 2y…

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Q: if f(3)=4 and f(4) = 5 what are f-1(5), f-1(4), and f-1(3)?

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Q: Find all (xo, Yo) in which f(x,y), y(x) = Yo has a solution and a unique solution on some open…

A: It is given that, y'=ln1+x2+y2.   The objective is to find all x0,y0 for which fx,y,yx0=y0 has a…

Q: Find the distance the point P(0, -6, -8), is to the plane through the three points Q(2, -3, -4),…

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Q: Set up the definite integral required to find the area of the region between the graph of y = 15 -…

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Q: Find the average rate of change of the function ƒ (x) = x³ + 1 on the interval [-1,3]

A: The function is given by fx = x3+1 To evaluate: The average rate of change of the function fx on the…

Q: xy dx - (x² + 3y²) dy = 0.

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Q: Use the given conditions to write an equation for the line in point-slope form and in…

A: I am attaching image so that you understand each and every step.

Q: Evaluate the integral using integration by parts. Simplify your solution, but do not round to a…

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Q: II. Show that lim (x,y) →(0,0) x6 + 2y² does not exist.

A: We will show that following limit does not exist.

Q: Find the domain and range of the following graph in interval notation. 5+ 4 -4 -3 -2 구 3 2 1 dy 1 4…

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Q: Given the points A(4, 2) and B(3, −1).  1. Find the components of vector AB and draw its position…

A: To find out the components of vector AB and find out the unit vector and its direction angle.

Q: Find the radius of convergence and the interval of convergence Radius of convergence: Interval of…

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Q: >) Find the length of the curve x== ² + y²² from y=1 to y = 4.

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Q: KIndly solve number 2 and 3 general solution also and show complete solution.

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: hs. 1 m was deposited in a bank at simple interest rate 10% per annum. Find: (a) amount accumulated…

A: Topic = Algebra

Q: Eliminate the arbitrary constants of the following. Simplify your answers.   y = e^x (c1cos2x +…

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Q: The function can be expanded as a piecewise-defined function, in the form f(x) = where each of the…

A: Topic = Functions

Q: Consider the function y = f(x) = x² + 15x + 56 and the x-value xo 5 (a) Find a formula for the slope…

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Q: 66. A sector of a circle has a central angle of 145°. Find the area of the sector if the radius of…

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Q: Atmospheric pressure P in pounds per square inch is represented by the formula P = 14.7e-0.21x,…

A: To find out the peak of mountain for the given atmospheric pressure.