IV. Find the area bounded by the given curves; 1 y= v?' y=0, x=1, x = - 1. 1+x? Sketch the curve indicating the area bounded.

Q: 2. Find the area in the third quadrant bounded by the curve x= y2 + 2y.

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Q: 2/ determine the area of the region enclosed between the curves x= 0.sy-3 and y=x-1? ans/ 18

A: Topic- Application of Integration

Q: 2.) Find the area bounded by the curves y? = 4ax and x? = 4ay %3D

A: The given question has been solved in detail.

Q: 3 Find the area under the curve y over the interval [0, 4]. (2x + 5)? Enter the exact answer. area =

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Q: 1.) Calculate the area under the curve y= y= 7- x, from x=- to X= 2

A: Given: y=7-x2  from x=-1 to x=2

Q: 3. Find the area bounded by the curves x2 + y2 = 9 and 4x2 + 9y² 36, on the first quadrant.

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Q: Approximate the area under the curve graphed below from 2 = approximation with 3 subdivisions. 1 to…

A: We can solve this using riemann integral

Q: Find the area between the curves y = e-0.7x and y = 1.5x + 1 from x = 0 to x = 1.

A: Explanation of the answer is as follows

Q: 15 Find the exact area enclosed between the curve y = v4 – x and the line r-y+2 0.

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Q: The area bounded by the curve y=4- x2 · x-axis and the line is? 16 Ob. 11 Oc. 16 Od. 1 а. 5 3 3 3

A: The graph is shown below:

Q: Approximate the area under the curve y-f(x) between x=0 and x=10 using the Trapezoidal Rule with n=5…

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Q: Find the area between the curves y = x2− 6 and y = x/2 − 3. Convert a and b to decimals

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Q: 9. Find the area under the curve y (x + 2)? over the interval [ – 1, 1]. area

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Q: 2. Find the area enclosed by the curve y2 = x6 (1- x²)³.

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Q: Find the area between the curves y=e^−0.6x and y=1.6x+1 from x=0 to x=1

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Q: Find the Area between the curve y = sin(x) and y = cos(x) and the lin es x = 0 %3D and x = n?

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Q: Find the area under the curve y = sin x from x = 0 to 2n

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Q: 2. Find the area between the curve y = 3x2 + 2 and the line y = 2 * x- 3 from x = 0 to x = 3. Answer…

A: To find the area enclosed by the curves y=3x2+2 & y=2x-3 from x=0 to x=3.

Q: 8 Estimate the area under a curve over the interval -2 < x < 0 with the x and y values given in the…

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Q: Find the area between the curves y = cos x and y=−sinxfrom 0 to π/2:

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Q: Find the area between the two curves.

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Q: 5. Calculate the area contained between the curve y = cos x, -T < x < T, and the line

A: To calculate the area contained between the curve y=cos x, -π&lt;x&lt;π, and the line y=12. Note: As…

Q: Calculate the exact area bounded by x-axis and y = cos(2x) between x = 0 and r = 27.

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Q: Find c such that the area between the curves y z2 - c and y c -x is equal to 69. Round your answer…

A: Given that y = x2 - c2 and y = c2 - x2  and area of this 69  We find value of c . Here i attached…

Q: = Set up the definite integral required to find the area of the region between the graph of y y = 2x…

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Q: 3. Find the area bounded by the curve 2x? + 4x + y = 0 and y = 2x. %3D Answer: 'n 'bs

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Q: Enclosed by x² + 4y² = 16

A: We have to find area bounded by given curves.

Q: Find the area between y = 6 sin z and y = 9 cos z over the interval (0, 7). Sketch the curves if…

A: The equation of the curves is y=6 sinx and y=9 cosx The interval of the area is 0, π

Q: 3. Find the area bounded by the curve 2x? + 4x + y = 0 and y = 2x. Answer: sq. u.

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Q: 4/ Find the area of the region enclosed between the curves y= cos 2x y=0, x=TT/4, x= TT/2 ? ans/ 1/2

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 10. Find the area bounded by the curve x = y² + 2y and the line x = 3.

A: Area Bounded by the Curves : If f(y) and g(y) are two continuous function on a,b and f(y)≥g(y), then…

Q: 4/Find the area of the region enclosed between the curves y=0, x=TT/4, x= TT/2 ? ans/ 1/2

A: The curves given to us is  y=cos2x,y=0x=π4,x=π2

Q: 2/ determine the area of the region enclosed between the curves x- and y=x-1? ans/ 18

A: Given problem is :

Q: Find the area between y = 8 sin x and y = 10 cos x over the interval [0, π]. Sketch the curves if…

A: We have to find out the area bounded by the two given curves.

Q: (b) / Find the area of the region between the curve y = 3 – x? and the line y = -1.

A: Area between two curves Let  f(x)  and  g(x)  be continuous functions such that  f(x)≥g(x)  over an…

Q: 18 - over the interval [ – 1, 1]. (x + 2)? Find the area under the curve y = area

A: The area under the curve y=f(x) over the interval a, b is defined as A=∫abfxdx.

Q: Find the area between the curves y = |x| y = cos(x)

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Q: 1)Find the area bounded by the given curves: a)y = 6x2 and y = 24   b)y = 3x2 − 12 and y = 0

A: The given function are y=6x2 and y=24. The area bounded by the given curves as shown below:

Q: Approximate the area under the curve y = T° from = 0 to T = 3 using a Right Endpoint approximation…

A: Riemann sum

Q: Find the area under the curve y= 1/(4x+ 2) for 1 ≤ x ≤ 3. Give an exact answer.

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Q: Find the area under the curve y 2 I over the interval [1, 4]

A: Find the area under the curve y=2x over the interval [1, 4]

Q: Find the area between y= 2 sin x and y = 5 cos x over the interval [0, 7]. Sketch the curves if i…

A: Given: y=2sinx y=5cosx

Q: Find the area between the curves y -0.2x e and y = 2.4x +1 from x=0 to x=2

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Q: Find the area between the x-axis and the curve y = √1 + cos 4x, 0 ≤ x ≤ π.

A: Given that, Curve y(x)=1+cos4x We have to find the area between the x-axis and the curve 'y(x)'. As…

Q: Determine the exact area enclosed between the two curves y = (x)^1/2 and     y = 1/2(x)

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Q: Find the area under the curve y = -over the interval [0, 4]. (2x + 5)2 Enter the exact answer. area…

A: Find your answer below

Q: 3. Find the area between the curve y = 2sinx cos x and the x-axis within the interval [0,2π].

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Q: Find the area bounded by the given curves. x2 = y - 1 and x = y - 3

A: From the given curve   x2=y-1 ; x=y-3   Now finding the point of intersection for both curves:…

Q: 1. Find the area bounded by the curves between the curve y=1+x and the line y-1 x

A: area between curve

Q: 2/ determine the area of the region enclosed between the curves x=: and y=x-1? ans/ 18

A: Given the curves is x=12y2-3 and y=x-1