(6) (2x+3y) cm Diagram 18 shows a trapezium. Calculate the area, in cm², of the trupezium. 10x cm (4s-3) cm Rajah 18 Diagram 18

Q: 1. Find the area bounded by the parabola y=4ax, the x-axis, and the lines x=4a, x=9a.

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Q: Find c > 0 such that the area of the region enclosed by the parabolas y 2 and - y = c² – a? is 90.

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Q: x² + a? = 1

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Q: Describe in words the region in R° represented by the equation x2 + y² + z² < 0.

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Q: 4. Find the area between the parabolas y2 = 4ax and x² = 4ay.

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Q: A headlight for the new Toyota 100 series has a cross section having an equation of = 9x with the…

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Q: Question 2 of 10 What is the surface area of the rectangular prism below? A. 846 units² B. 1260…

A: The objective is to find the surface area of the rectangular prism.

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

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Q: Find the values of such that the area of the regionbounded by the parabolas  y  = x 2 - C 2  and…

A: given : the two parabolas are: y=x2-C2y=C2-x2 the area bounded by the parabolas is 576.

Q: Use integration and trigonometric substitution to find the area enclosed by the ellipse: + = 1. 9 36

A: Given ellipse:-             x29+y236=1 =&gt;      x232+y262=1  compare to standard form x2a2+y2b2=1…

Q: Find the area enclosed by the parabola y=x2-8x+15 and the x-axis

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Q: In circle X, XY = 2 and mZY XZ = 160°. Find the area of shaded sector. Express your answer as a…

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Q: 7. Find the area between the parabolas y² = 4 az and r = 4 ay Ang 16

A: Area between curves

Q: Find the area enclosed by the parabola y = x²- 8x + 15 and the x - аxis.

A: To find:  the area enclosed by the parabola y=x2-8x+15 and the x-axis.

Q: Use integration and trigonometric substitution to find the area enclosed by the ellipse: x² y? = 1.…

A: From the given ellipse: x24+y216=1 So, x24+y216=1x-0222+y-0242=1center:(h,k)=(0,0)Major-axix &amp;…

Q: Find the area between the graphs of the equations: y^2 = 4x x^2 = 4y

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Q: Area of the region under the graphs? Integral related question

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Q: Q. 1. Find the area of the region enclosed by the parabola y = 3 – x² and the line y = -2x.

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

Q: Sketch the figures and show step by step solutions. Find the area between the curve y = x3 – 6x2 +…

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Q: B 130 27 cm Find the area of the sector formed by Z(ABC) cm2

A: Find the sector area

Q: Find the area of the region included between the parabolas y² = 4(p+1)(x + p + 1), and y² = 4(p² +…

A: As per the question we are given two parabolas defined as : P1  :  y2 = 4(p+1)(x+p+1) P2  :  y2 =…

Q: Find the area of the region in the first quadrant bounded by the hyperbola x2-y2-4 and one of its…

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Q: Sketch a possible region and find m so that the region above the line y = mx and below the parabola…

A: First, find the point of intersections of given two equations:…

Q: 1. Determine the surface area generated by revolving the line segments about x axis. 2m 3m 1m 4m 3m…

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Q: What is the area of a sector ACB? Leave your answer in terms of T. A 10g 5ft

A: Given Radius, r = 5ft.  And angle theta = 108 degree

Q: In the quest for the perfect donut, you decide that to make it, you're going to rotate the graph of…

A: The graph is drawn as :

Q: 17 - Calculate the area of the region between the y = x^2 – 3x parabola and the y = 3x line. O A) 36…

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Q: Find the area of the region between the parabola y = 4.x; and the straight 4x – 3y = 4

A: Given curve equation y2=4x,4x-3y=4

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

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Q: Find the area of the region to the left of the parabola x = 7y², to the right of y-axis, and y = 1.…

A: Given curve is x = 7y2 and  y = 1

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

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Q: y = 2 16-2

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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: Draw the parabola y = 4x - x2 and the line y = -3x + 6. Calculate the area enclosed by them and the…

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Q: 3- Find the area between the parabola x² = 4y and the straight line x-2y + 4 = 0

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Q: Q2A) For the parcel shown in the figure below: Compute the area using: a. Trapezoidal Rule 30m 25m…

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Q: Find the area of the region bunded by the graphs of the given equations.     y= 2x+15 y=x^2…

A: Given Data: Equation 1: y=2x+15 Equation 2: y=x2 The figure below indicates the area bounded by the…

Q: Find the area between the two Curves Parabla and achord through the vertex. Cuse y= 9ax, y= mx)

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Q: Which integral computes the circumference of the ellipse + y° = 1? %3| 2 16 — За? dx 16 — 4г2 2 -2 2…

A: As we know the differential arc length of a curve is ds=dxdθ2+dydθ2dθ  The parametric equations of…

Q: 4. Use integration to find the area of the triangle with vertices (0,0), (2,6), (1,8). А) 6.5 В) 4.5…

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Q: 3. Find the area of the loop of the curve y? = 4x'(1-x)

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Q: 19. Find the area in the first quadrant bounded by the parabola y² = 4x and the line x = 3 and x =…

A: The equation of the curves are C1: y2 = 4x ⇒ y =2xC2: x= 1C3: x = 3 To evaluate: The area of the…

Q: Describe in words the region in R° represented by the equation x2 + y² + 2y + z² < 3

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Q: The area bounded by the parabola y² = 4x and the line y = 2x - 4 is equal to {A} 7 sq. units {B} 9…

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Q: Sketch the figures and show step by step solutions. Find the area lying above the x-axis and under…

A: We have to find area for given curves.

Q: Find the area intercepted by the three equations 4x^2-y^2+2x=1, y^2-x=4, and y=x-2.

A: Given: 4x2-y2+2x=1, y2-x=4 and y=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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Q: Find a formula for the area of the ellipse a2 y? =1 (where a,b>0). 62 Show and explain ALL your work…

A: lets the area A = 4∫0aydx lets write x = asin(t)   y = bsin(t) dx = acos(t)dt limit is o to π/2 A =…