Find the volume of the solid of revolution formed by rotating the region bounded by the parabola y=x^2 and the line y = 0 and x = 2 about the x-axis.  32/5 pi cubic units 34/5 pi cubic units 36/5 pi cubic units 25/3 pi cubic units

Q: Q5: Find the area shared by the cardioid r = 1 + cose and the circle r = 3 cos 0. Graph the two…

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Q: Find the area of a triangle PQR, where P = (6, 3, 5), Q = (0, 4, — 3), and R= (-6, -1, - 5)

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Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

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Q: valuate the following integral or state that it diverges. 6 10 cos A. K|X Select the correct choice…

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Q: Let f(x) be a piecewise function. Evaluate So fl f(x) dx = = if x < 2 2x-3, if x ≥ 2 (3x²+2,

A: Topic = Integrate

Q: Let a =(4, 1, 5) and 6 = (2, -5,5). Find the angle between the vector (in radians)

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Q: Consider the differential equation x²y" + xy + y = 0; cos(In(x)), sin(In(x)), (0, ∞o). Verify that…

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Q: Consider the triple integral of f(x,y,z)=(z²)(x²+y²+z²)¹/² over the solid region S where z is…

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Q: dt u = xy + y z tzx x = tcost, y = tsint, z=t at t = a 4

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Q: The population of a city t years from now is predicted to be P(t) = 0.50t³ - 3t² + 3t + 200 thousand…

A: The given data is: Pt=0.50t3-3t2+3t+200 ..........(1)

Q: The line L with symmetric equations point P(3,-3, -2). Select one: True False x+3 = = passes through…

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Q: 2. Find the area of the region inside the cardioids r = a(1+cos 0), a>0

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Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

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Q: Find all the values of x such that the given series would converge. (8x)" n11 n=1 The series is…

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Q: Compute the line integral of f(x)=2x over the curve y=x² from (0,0) to (1,1). |

A: The line integral of f(x)=2x over the curve y=x2 from (0,0) to (1,1)

Q: Given the function of f(x) = 2x² - 10x +9 on the interval [-2, 0], find a point c between -2 and 0…

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Q: Give a possible formula for the function below. Let A = (-1, 32) and B = (1, 8). Use the general…

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Q: Consider the graph of r(t) given below. -4- 2 |_y=r(t) 0 2 C) Find r' (2). [Select] 4 D) Find r'…

A: Given that graph of y=rtA.gt=sin3πrtg't=cos3πrt×3πr'tg'1=cos3πr1×3πr'1r'1=slope at…

Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

A: Given

Q: Which of the following is a unit vector parallel to the vector? Select one: 81, 81 81 3.0,- /> None…

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Q: Prove that 2 Sin X dx 1 + cotx + cos x It tan X cos 2 x

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Q: 3 Approximate (4+x²) dx using five equal subintervals. -3 An approximation for the integral using…

A: To approximate ∫-334+x2 dx by using five equal subintervals.

Q: Write the given expression as an algebraic expression in x. sin(2 tan-¹(x)) X

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Q: i) Determine the following information for each rational function: -domain -x and y intercepts -…

A: According to the question, we can answer only first question and rest can be reposted.

Q: The intervals on which f(x) = x² ln x is increasing and decreasing, and the intervals of concavity…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: The intervals on which f(x) = x² In x is increasing and decreasing, and the intervals of concavity…

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Q: 5. r² = 1 2

A: According to the question, we can answer only first question and rest can be reposted.

Q: Three men A, B, and C can do a piece of work in hours working together. Working alone. A can do the…

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Q: Complete the parametric equations for the line where the planes 8x + 11y + 4z 13x + 2y + 3z = 5…

A: This question can be solved using the concept of lines and planes in three dimensional geometry.

Q: A rectangular lot has an area of 1600 sq m. find the least amount of fence that could be used to…

A: Solution of given question is written in below steps.

Q: a) Find all values of x where the function is discontinuous, and (b) graph the given function f(x) =…

A: Here, the given function is: f(x)=2x+2            if x≤0x2-2x+2   if x&gt;0

Q: Consider the following functions. f₁(x) = 9, f₂(x) = cos2(x), f(x) = sin²(x) g(x) = c₁f₁(x) +…

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Q: 11-x 1 SS S S dydzdx 00 x+z 2.

A: Follow the procedure given below.

Q: etermine the net area.

A: NOTE: Refresh your page if you can't see any equations. .

Q: Prove the statement using the €, & definition of lim(x² + 2x - 7) = 1. →2

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Q: Find the volume of the parallelepiped determined by the vectors a (3, 4, 1), b = (0, 2, 4), = (2, 4,…

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Q: Write an equation of the line that passes through (2.5, 1.6) and is perpendicular to the line…

A: Aim: To find equation of line passing through the point (2.5,1.6) and perpendicular to the line…

Q: The Maclaurin series of the function f(x) = 2x² sin(9x) can be written as f(x) = Σcna" 71=0 where a…

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Q: Find all solutions of the equation 2 sin² x The answer is x₁ = COS x = 1 in the interval [0, 2π). ,…

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Q: Q4: Show if the series is convergent or divergent cos(n) n√√n n=1

A: Find the limit of the given equation at infinity

Q: The equation represents Select one: x² + y² + z² + 6z = 4x + 12 a sphere with center(-2, 0, 3) and…

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Q: Two functions fand g are defined in the figure below. (a) ∞ Domain of f (b) Range of f 7 9 Domain of…

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Q: Let ā= and b = . Find 3a + 3b.

A: Given:a→=-3,-2,3 and b→=-3,5,2We need to find 3a→+3b→.

Q: puit 2 x³ = x²y sir (22²) X tije xp

A: Solution of given question is written in below steps.

Q: Numerically estimate the slope of the line tangent to the graph of the function f at the given input…

A: we can complete the table.

Q: H.W: Solve the differential equation y'− (1+x)(1+ y²) = 0

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Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

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Q: True or False: The definite integral 2 L₁ (x + 36 is equal to Select one: O True False 2 [² (x +…

A: We can answer the question as below using the properties of integration.

Q: Q4: Show if the series is convergent or divergent cos(n) n√n n n=1

A: The given series is ∑n=1∞cosnnn. We have to check whether the series is convergent or not. We use…

Q: The side of a regular pentagon is 25 cm. If the radius of its inscribed circle is 15 cm, find the…

A: Answer :- Given ,  The side of a regular pentagon is 25 cm  If the radius of its inscribed circle is…