Approximate the area under the curve of y = x² - 2x + 3 over the interval x = -1 to x = 3 using 4 inscribed rectangles. 10 square unite O 11 square units 12 square units O 13 square units

Q: Find the area contained between the two curves y = 3x - x² and y=x+x². 71/6 81/5 91/4 62/3 None of…

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A: Given x=3 and x=6

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A: The given question can be solved as shown in step2.

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Q: (b) Find the area enclosed by the curve y = 4x2 and the x-axis between x = -2 and x = 2. %3D

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Q: Find the area between the curves. y = x2 − 2x + 7 and y = x2 + 8 from x = 0 to x=6

A: Let fx=y=x2-2x+7 and gx=y=x2+8. First, we will find the intersection point of both the curves…

Q: 3. Find the exact area between the curve f (x) = -2x² + 12x + 7, the x-axis, and x=1 and x=5.

A: As mentioned, use the sigma formula to find the area A. Plot the curves. Divide the area between the…

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: Find the area under the curve y = x3 + 3x2 and the x-axis between x = 1, and x = 3

A: Find the area under the curve y = x3 + 3x2 and the x-axis between x = 1, and x = 3.

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

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Q: Find the area bounded by the curve of y= *+ 5 and the x-axis over the interval x-1 to x 4…

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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: Find the area between the graph of x = and the y-axis on the interval [1, 4]. 4 3 2- 1 0.5 05 1 1.5…

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Q: 3. Find the area between the curves x2 2ay and x? = 4ay – a².

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Q: |Approximate the area between the curve below and the r-axis by computing Le on the interval [3,…

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Q: Find the area under the graph y 2x + 3 on the interval -1, 2). 2]. AY 8- 71 6. 4 ++H+ 54 3. 1 234 5…

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Q: c). Find the area under the curve f(x) = 4x +2x over the interval (5,8)

A: Given,            fx=4x3+2x , the interval is 5,8To find : Find the area under the curve over the…

Q: Find the area enclosed by the given curves. 11) Find the area between the curve y = 6x/(1 + x2) and…

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Q: Find the area bounded by the curve of y = x' + 3 and the x-axis from x = -3 to x = 1 Approximate are…

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Q: 3 Find the area between the curve of X = and the y-axis on the interval [2, 5]. 2.749 3.296 4.159…

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Q: Find the approximate area under the curve of f (x) =x+1 from x = 0 to x = 2, using 4 left-endpoint…

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Q: Find the area bounded by the curve a?y = x3 the x- axis, and the line x-2a. Solve with respect to x.…

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Q: Find the area under the curve over the indicated interval. 5. y = x - x2; (0, 1] 6. у 3 [1, 3]

A: y = x-x2 ; [0, 1] y = 4/x; [1, 3]

Q: Find the area between the y-axis and the graph X = 1 on the interval 3, 6]. 7 5- 4 3 2 ++++ ++++ 54…

A: The area formed is of trapezium

Q: Find the Area below f(x) = -x² + 4x and above g(x) = x² – 6x +5 over the interval 1 siS4. 3

A: Given    fx = -x2+4x   gx = x2-6x+5Find out area in interval 1≤x≤4Area = ∫14fx-gxdx          =…

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Q: Q/ A/ Find the area between the curve y 3x- x² and the x-axis

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Q: ind the area bounded by the curve y²=4x, the lines x=1 and x=4.

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Q: Approximate the area under the curve of y =-+x+5 over the interval x = -1 to x = 4 using 5 left…

A: Formula: Using left end points AL = Δx[f(xo)+f(x1)+......+f(xn-1)

Q: Find the area between the curve f(x) = x² +12 and the x-axis from x = 3 to x = 6. ...

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Q: Find the approximate area under the function f(x)=2.5-2sin(πx/6) using the four middlescribed…

A: From the given picture we see that the middle points are x=1,3,5,7 So we find the x values at these…

Q: 4. Find the area between the curves y = x2(x – 3) and y2 + 8y – 16x + 48 = 0

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Q: Find the area under the curve y=x3+3x2 and the x-axis between x=1 and x3D3. O 46 sq. units O 54 sq.…

A: We need to find the area under the curve y=x3+3x2 on interval 1, 3.

Q: 12 Find the area under the curve y = over the interval [ – 1, 1]. (x + 2)² area = i

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Q: Approximate the area under the curve of y = x² + 3 over the interval x = -3 to x = 1 using 4…

A: Recall: Trapezoidal rule  Area=∫abf(x)dx≈∆x2fx0+2fx1+2fx2+···+2fxn-1+fxn where, ∆x=b-a2 We have,…

Q: Find the area between the curve y = x2 + 10x + 24 and the x-axis from x = −4 to x = −1.

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Q: 6. Find the number a such that the line x = a bisects the area under the curve y = 1 1< x < 4.

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Q: Find the area contained between the two curves y = 3x - x² and y=x+x². 1/3 sq. units 1/4 sq. units…

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Q: Find the approximate area under the curve of f (x) = x< +1 from x = 0 to x = 2, using 4…

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Q: The positive number c for which the curve yd- divides the area under the curve y 2209- from O to 47…

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Q: Approximate the area under the curve of y = x - 2x + 3 over the interval x = -1 to x = 3 using 4…

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Q: The area between y = x² and y - x³ - 4x from x = 0 to x = 2 is 4.05 3 2.08 5.4 O

A: We can compute the area between the curves using the double integration method. We have to consider…

Q: Approximate the area under the curve of y = x - 2x + 3 over the interval x=-1 to x = 3 using 4 right…

A: Find out the area under the curve using 4 right endpoint rectangles.

Q: Find the area under the curve y 3x3 over the interval 0, 2 > Next Question

A: Given curve is y=3x3. To find: Area under the curve y=3x3 over the interval 0,2.

Q: Calculate the total area of the curve y=x' and the x-axis between x-2 and x=-2. O 8 sq units 11 sq…

A: The given bound region is: Now taking vertical elementary strip; So, the area of the strip from the…

Q: Find the area under the curve y 9 x over the interval [1, 5]

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Q: 6 Find the area enclosed by the given curves. * y = x³ and y = 4x

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: ind the area bounded by y = sinx - e*, the x-axis and the lines x = HT onfe 10 7 juo 44 KI4 x = ².…

A: This question is based on definite integral.