Find the two values of C such that the area of the region enclosed by parabolas g= x²c and "g=c?-x" 576. smaller valuc of C = Larger value or C :

Q: (H.W) Show that the area of parallelogram is Ā x B| ?

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find c > 0 such that the area of the region enclosed by the parabolas y = x? – c' and y = c² – x² is…

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Q: Q4. Find the manimal area of riaht hypotenuse of lensth a triangle with 6.

A: here length of the base is x and height of the triangle is y for a right-angle triangle, the area is…

Q: Sketch the region bounded by the graphs of the equations, and find the area of the region. 8(v) =…

A: The solution are next step

Q: Find the volume of the "island" which has a surface defined by 20 - 2 over the region on which it is…

A: To find the volume of the island whose surface is given by, z=201+x2+y2−2

Q: c? and y = = c² – x? is 170. Find c > 0 such that the area of the region enclosed by the parabolas y…

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Q: Find the area bounded by y = x? and y = 6x – x². A. 9 В. 27 С.6 D. 18

A: the given figure is: we have to find the area bounded by y=x2 and y=6x-x2.

Q: The radius of gyration of the area :shown about the x axis is Y 6 4 304 1.73 3.

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Q: Find the area enclosed by the given curves. y 2x-x, y-2x-4 37 34 OB. 3. 31 32 3 D.

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Q: Find the area of the kite if W = 7, Y = 16, & Z %3D = 31. Round your answer to the nearest %3D…

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Q: Q3/ Determine the area enclosed by the three straight lines 4y x, y+ 3x = 6 andy = 2x with sketch.…

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Q: What is the area of the region enclosed by the curves y = x³ and x =y² ? A) B) D) E) 15

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Q: Find the area enclosedby the parabola y=x² - 8x+15 and thex-axis.

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Q: Given the area of the region enclosed by y = x and y = -2x* , identify the "a" and "b".

A: Given: The area of region enclosed by y = x2 and y = -2 x4    To Find: a and b

Q: Find the values of c such that the area of the region bounded by the parabolas y = 4x2 - c2 and y =…

A: Given:

Q: Find the area of the region enclosed y = 7e¯ 7 and x = 0.

A: In this question we will simply use the basics of calculus i.e application of integration. We will…

Q: Find the area of the region bounded by the line y=(1/2)x and the parabola y? = 8-x.

A: Area between curves

Q: Find the area of the region R enclosed by the parabola y = x2 and the line y = x + 2.

A: Given that y=x2          ...(1)y=x+2       ...(2)

Q: Find c> 0 such that the area of the region enclosed by the parabolas y = x² – c² and y = c² – x² is…

A: The given parabolas are y=x2-c2 and y=c2-x2 and the area of the region enclosed by the given…

Q: margerate has a cube that has a surface area of 150 suare units. what s the coume of the cube?

A: The surface area of the cube is given by Surface Area = 150 square units To evaluate : The volume of…

Q: Find the area of the region enclosed by the graphs of 1 1 =0, and x = 4 y = 0, x V1– 4x? - NOTE:…

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Q: Find the value of c > 0 such that the area of the region enclosed by the parabolas y = x? – c and y…

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Q: Shade the area of the region bounded by, x² + y? p

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Q: 2 V10 m Image 2 |

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Q: Find the area of the region R enclosed by the parabola y = x² and the line y = x +2. Solution:

A: " Since you have asked two questions, we will solve the first question for you, if you want second…

Q: Find the area of the region enclosed by the graphs of 1 VI- 472' Y =0, x = 0, and x = 4' 1 — 4г?

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Q: Find the area of the region enclosed by y 1.25x and x 3.5 — у?. -

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Q: Q3/ Determine the area enclosed by the three straight lines 4y x, y+ 3x = 6 andy 2x with sketch. %3D

A: We have to find the area enclosed by the three straight lines 4y=x, y=3x+6, nad y=2x.

Q: Estimate the area under the graph in the figure by using(a) the Trapezoidal Rule, (b) the Midpoint…

A: Given

Q: Find the area between the curves y? = -12x and y? = - 24x – 36.

A: y2=-12x,  y2=-24x-36 find intersection points -12x=-24x-36 -12x+24x=-36 12x=-36 x=-3 . y2=-12x…

Q: Find c 0 such that the area of the region enclosed by the parabolas y z? -c² and y= c² – a?is 200.

A: Solution: we are given curves and firstly, we find bounds and for finding bounds, we set them…

Q: B) Find the area of the region enclosed by the Parabola y = 2 – x2 and the line y + x = 0 ?

A: The region is bounded by y=2-x2 and y+x=0

Q: Find c > 0 such that the area of the region enclosed by the parabolas y = x2 - c and y = c – x² is…

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Q: Find the area between the parabolas y^2=4ax and x^2=4ay Include figure

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Q: Find c > 0 such that the area of the region enclosed by the parabolas y = x2 – c2 and y c2 – x? is…

A: Given:-   c > 0 such that the area of the region enclosed by the parabolas C = y = x2 - c2 and y…

Q: Find the area enclosed by the line x=y and the parabola 4x+y² =12

A: Given:         The line x = y  and the parabola 4x + y2 = 12   To find:           The area…

Q: 4. Find the area between the parabolas y? = 4ax and x² = 4ay. %3D

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Q: (b) By sketching the graphs, find the area of the region bounded by the parabola and the line, x2 =…

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Q: Find the area of the region included between the parabolas y? = 4(p + 1)(x +p+ 1), and y? = 4(p² +…

A: Here we have to find the area of the region bounded by the two parabolas.

Q: Determine the area enclosed by the equations. y = V4 – (x – 2)? y = 0

A: To determine the area enclosed by the equations-

Q: Find the values of c such that the area of the region bounded by the parabolas y = 25x2 – c2 and y =…

A: First of all, consider the given two curves and equate them. Simplify the equation obtained by…

Q: Find the value(s) of c such that the area of the region bounded by the parabolae y = x? – c² and =…

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Q: Find the area enclosed by the given curves. y = 2x - x 2, y = 2x - 4 O 32 O 34

A: The given question can be solved as shown in step 2.

Q: Q1 By sketching the graphs, find the area of the region bounded by, y = 9 – x? and x + y = 3, -3<xS…

A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

Q: Find the area of the region R enclosed by the parabola y-x and the line yー国

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Q: What is the area of the region enclosed by the curves y = x³ and x = y? ? A) : D) E) 8 C) 15

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Q: Give the area of the region enclosed by y = x2 , x = 2, and x – axis. А. 4 В. 8 C. 8/3 D. 4/3

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Q: Find the area of the region bounded by the parabolas y -x? + 4 and y = x? - 4. %3D

A: Given curves are y=-x2+4 and y=x2-4. For their point of intersections, ⇒-x2+4=x2-4⇒2x2=8⇒x2=4⇒x=±2

Q: Find the first quadrant area bounded by the circle x? +y² = 25, y-axis and the parabola x2 – 2x = y.

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.