2. Find the area of the region between the curve, x = y² + y −6, y- axis and y=0; y = 3.

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A: Question d and e has been solved as per the request of the student.

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A: We have to find the sum of the series.

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Q: Evaluate the integral. 4π S t² sin(2t) dt

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Q: Solve: y(x) dy dx = = (8x² - 7x + 6) (y-7), where y(0) = 11.

A: We will solve the given differetial equation by variable separation method.

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A: Explanation of the answer is as follows

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Q: Find the area bounded by the curve r = 2 - cos Upload Choose a File

A: area

Q: test if (AB)¹ = B¹A¹ A = 4 1 0 2 L3 5. B = 14 0 2 - -3 1

A: To test if ABt=BtAt.A=410235, B=14-3021

Q: The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the y-axis is…

A: The objective is to find the appropriate integral to be used to find the volume.

Q: Write the equation of a circle with a center at (2, -3) and a radius of 4. ( x - 2) 2 + ( y + 3) 2…

A: To write the equation of a circle with a center at (2, -3) and a radius of 4.

Q: Find the area bounded by y=√x and y= 2 (A) 2/3 (B) None of these C) 4/3 (D) 10/3 E 5/3

A: topic- area bounded by curves

Q: 21 The equation x2 + y2 = 5 has _______. a center at (5, 5) and a radius with a length of five…

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Q: 10) Given the following exponential function f, where c> 1. f(x)=p(c)(x-r) + s In addition, p 0, r>0…

A: Solved below.

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Q: y = 2 sin 3x 1+3 cos2x

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Q: Find the solution of the following differential equation. (x² - 1) + 2y (x + 1)² dy dx 1.

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Q: Given: ·S- takes the form 20 A 3 8x+1 dx. If we let the substitution =√√4x-5, the final answer 4x-3…

A: Integration

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Q: Using integrals, find the area bounded by the following:  f(x) = 4x2 + 20 g(x) = 8x + 32 x = - 4…

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Q: dy 3. dx + y = 2xy² ex

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Q: Evaluate the integral. (Use C for the constant of integration.) [5√16. 5√ 16 + ex dx

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A: The given differential equation is  (D2+3D+2)y=sinex

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Q: 8 Find the area bounded by y y = 2x, y=0 and x = 3. X Using vertical element, what is the integral…

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Q: (c) Express the number 1.234567 as a fraction (in its simplest form) using the sum of a geometric…

A: Ans=45679/37000 For detail...go through the solution.....I have solved step by step in detail

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A: SOLUTION-

Q: Use Laws of Exponents to rewrite and simplify each expression. (b) (2x-2)-³x-3 x3.xn xn+1 (c)

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Q: (a) Find the parametric equations for the line segment that joins P(1, 0, 1) to Q(2, 3, 1).

A: Given, P(1,01), Q(2,3,1)

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Q: Find the area bounded by y=-x²+1, y = − 2x+2, x=-2, and y=2 (A) 1/3 None of these B) 16/3 D) 4/3 E 5

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Q: Which of the following integrals would best approximate the area of the region bounded by y2-x=0 and…

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Q: Find the third Maclaurin polynomial to f(x) = e sinx

A: The Maclaurin series; fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+.... Where the center is at x=a=0…

Q: For the function f(x) = 2x², find the difference quotient f(a+h) - f(a) h 4a + 2h h 4a²+ h 4 a + 2 h

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