Find the area bounded by the given curves and lines. 1 (2-2)3 x = -2 x = 0

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A: We need to integrate∫-∞∞3x2+81dxWe know that ∫1x2+a2dx=1atan-1xa+C ---{1}

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A: Solved below

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Q: Find the area of the region bounded by the curve 2-4r and the lines x = 1 and x = 4.

A: To find the area 

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A: The given curve is y2=4x and lines x=2 and x=4. From the given information,

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A: Please see the below picture for detailed solution. 

Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

A: Please see the below picture for detailed solution. 

Q: 6. How do you know if a system has a unique solution? (A) The associated, reduced augmented matrix h...

A: To determine the form of reduced augmented matrix when the system has a unique solution.

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Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

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Q: Find the area of the region bounded by the curve y= 1--x² and the x-axis.

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Q: The slope of the tangent line at any point (x, y) on a curve is 2vx. If the point (9, 3) is on the c...

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Q: Find the diameter of the of the circle with center at (-5, 3) and tangent to the line 8 – 2x = 2. O ...

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Q: Question 13 Find the area of the region bounded by the curve y=1- and the x-axis. 6. A 4 square unit...

A: A detailed solution is given below

Q: cos2x – sin2x cos2x For What is F(x)? - dx=÷F( 3 + C• cosx – sinx O (cscx – secx) 3 2 sinx - -cos'x ...

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Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4. A 21/2 square ...

A: Given problem is :

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Q: dx Evaluate Зх — 12 A 1 00 | C) D + 00

A: Here we have to evaluate the value of       ∫14 dx/(3x-12) 

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A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...

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A: The given integral is: I=∫sinθ2cosθ2sin(θ) dθ=12∫2sinθ2cosθ2sin(θ) dθ=12∫sin(θ)sin(θ) dθ=12∫1-cos2θs...

Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

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Q: Find the center of the circle 4x? + 4y?+ 24y – 4x – 35 = 0. O (3, 1/2.) O (3/2, -3) NONE OF THESE O ...

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A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: If the brakes on a car give the car a constant negative acceleration of 24 m/s2, where is a positive...

A: we have to use the newtons equation of motion here. let us assume that the initial speed of car be u...

Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

A: The antiderivative of f(x), denoted by F(x)F-x=-F(x)∫abfxdx=K, 0<a<b

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A: Given the antiderivative, to find the value of given expression.

Q: Bernoulli Equation (17) y'+ () y = x³y³ (18) y' + 3x²y = 4x²y² (19) (x²yª – 1)dx + x³y³dy = 0 (20) x...

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Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

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Q: Find the diameter of the of the circle with center at (-5, 3) and tangent to the line 8 – 2x = 2. 2 ...

A: Solution: center (h,k) = (-5,3) tangent to the line x-axis 8-2x=2 so, x= 3 &y=0 (3,0)

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Q: dr = b(cos Odr +r sin Ode) Ans. r = c(1-bcos 0)

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Q: Which of the following integrals is equal to the integral / f(3x – 5) dx? 713 f(2) dz 7/3 f(2) dz -2...

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Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

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Q: 8. W ( 10л 3 9. W W (–317) 22л 10. W 3

A: Since there are multiple questions the first question is answered as per our guidelines. kindly repo...

Q: Which of the following is an improper integral?

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Q: Which of the following is an improper integral? @ I'm(x++1)dx A -1 (B -4 x² – x – 2 © S*« • In3e te ...

A: NOTE: Refresh your page if you can't see any equations. . check the first option find the domain of...