5. Find the area of an ellipse, using the cartesian equation; check by using the equations z= a cos $, y = b sin + (see Ex. 51, p. 136). Ans. rab.

Q: Problem The Circle xiy² a? is rotated about the x- ascis, find the Jolume of the Solid geverated 2.

A: Find the attachment

Q: 3. Find the right triangle of largest area inscribed under the parabola y = 4 – r² with its base…

A: Given: y=4-x2 Vertex of the parabola will be at 0,4 and the points where parabola intersect the…

Q: In  the given equation as  follows , find the area of the surface generated by revolving the curve…

A: Given: x=t ; y=4-2t; 0≤t≤2To find the area of the surface generated by revolving the curve about…

Q: The circle x² + (? − 1) 2 = 1 is rotated around the line y = x-3. A torus is formed as a result of…

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Q: Evaluate (x + y?) dx + 3x dy, where C consists of the arc of the parabola = y? from (1, 1) to (4,…

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Q: Find the area of a sector if its arc is 150° and r = 10 in.

A: We first find the area of the circle

Q: For an ellipse which every point represented by i = a cose î + bsin0 ĵ , calculate the area using $r…

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Q: Consider a right isosceles triangle A cuts [AC] in D. 1) Calculate the sides of the triangl 2)…

A: To calculate- sides of triangle BAD and area of triangle BDC.

Q: Use x = au, y = bv to show that the area of the ellipse x2 y? = 1 is rab. 62 a2

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Q: Find the area of the region inside the circle r = 2 sin (θ + π/4)and above the line r = sec (θ −…

A: Given : Circle   r=2sinθ+π4 and Line  r=secθ-π4   We have to find the Area of the region inside the…

Q: Find the area of the intersection of the circles r = sin θ andr = cos θ.

A: Given: r=sinθr=cosθ

Q: sec(2e158i)

A: The given problem is to evaluate and simplify the given complex expression and express in the…

Q: A sector of a circle of radius 14 mi has an area of 98mi? then the central anof the circle is (a)…

A: The area of a sector is given by the formula πr2θ360° where r is the radius of the circle and θ.

Q: Express the circle specified by ?=2cos(?)?=1+2sin(?) y=1+2 sin(?) inin Cartesian coordinates and…

A: Equation of a circle with radius r and center (h,k) is  (x-h)^2 + (y-k)^2  = r^2

Q: 8. Use the figure to identify the arc as minor, semi-circle, or major. AB : Minor GCD: DFA: EF: ÁCD:…

A: Solution:

Q: 2. A tunnel with an elliptical cross-section is built over the highway. The length and height of the…

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Q: Find the area of the specified region. Inside the three-leaved roser= 8 cos(30) A) 32m C)

A: We are asked to find the area of the specified region.

Q: Find the area shared by the circle r, = 9 and the cardioid r, = 9(1 - cos 0). .....

A:

Q: A flashlight shape like a paraboloid has its light source at the focus located 1.5cm from the base…

A: Sol:     given:  4 flashlight shape like parabolaod                  and its light source of the…

Q: What is the ratio of the area to the perimeter of an ellipse 9x² + 25y² = 225? %3D O None of these O…

A: Topic:- geometry

Q: Find the areas of the regions Inside the circle r = 4 cos θ and to the right of the vertical liner =…

A: Sketch the regions Inside the circle r = 4 cos θ and to the right of the vertical line r = sec θ as…

Q: Use the following problem to answer questions 45-47. Given: AADE is the dilation image of AABC, and…

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Q: In the figure PQSO, is a trapezium in which PQ || OS, ZPOS = 135° and ZOSQ = 90° points P, Q and R…

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Q: Question 8 Find the surface area of a sphere is the area of the great circle is 81n in, A= 81r in?…

A: the given figure is: we have to find the surface area of the sphere if the area of the great circle…

Q: 6. In the following diagram, O is the centre of the circle and (AT) is the tangent to the circle at…

A: AT is tangent to the circle at Tand OA= 12 cm and the circle radius 6 cm

Q: Show that the surface area obtained when the arc of the parabola y? = 16az from I = 0 to r = h is…

A: Surface area

Q: 2. Find points P and Q on the parabola y = 1 – x? so that the triangle ABC formed by the r-axis and…

A: Given:  To find points P and Q on the parabola y=1-x2 so that the triangle ABC formed by the x‐axis…

Q: A 4 in./ 65° B Find the area of the sector formed by Z(ABC) in?

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Q: QUESTION 2 The value of keid where b41 by using the two-point Gauss quadrature method of integrafion…

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Q: In the figure below., IL and IJ are tangent to the circle centered at O. The segment LJ passes…

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Q: Use the arc length formula for polar curves to calculate the arc length of the entire circle. Enter…

A: The arc length formula for polar coordinates is given by:

Q: Which of these images would NOT be a cross-section of a cylinder?

A: Cross Section of Cylinder is

Q: : The area of the surface obtained by rotating the curve y = 2 In a, for 1 < a <e, about the a-axis,…

A: We have to find the integral that given the surface area.

Q: To construct a tangent to OR from a point S outside OR, you need to construct: (A) the perpendicular…

A: In order to construct a tangent to ⊙R from a point S outside ⊙R, we need to follow these steps Draw…

Q: Problem the circle xây? a? otatad about the x- escis, fnd the Jolume of the Solid geverated 2.

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Q: 15. Figure 11.25 shows a design for an herb garden, with approximate measurements. Four identical…

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Q: Show the answers of the following questions on your Answer Banks. DO NOT WRITE anything on this SLA…

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Q: Which of the following geometric solid would result after rotating a circle around its diameter? *…

A: When you will rotate a circle about it's diameter , you will obtain a sphere .

Q: Find the equation of a circle whose center is at (3, -5) and whose radius is 4. A. x² + y? – 6x +…

A: Use general equation of circle:  (x-x0)^2 + (y-y0)^2 = r^2  And equation of parabola is : (y-y0)^2 =…

Q: Given z = 6 cis 330°, find z3 using De Moivre's Theorem. Write the answer in rectangular form.…

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Q: Use trigonometric substitution to find the area enclosed by the ellipse x y a?'b? =1.

A:

Q: Find the area of the sector shown in the figure. 3T

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Q: Find the area of one leaf of the "four-petaled rose" r = 5 sin 20 shown in the following figure: y…

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Q: Question 7 of 10 What is the surface area of the cube below? C C A. 320 units² B. 512 units2 C. 384…

A: I am attaching image so that you understand each and every step.

Q: Calculate the area enclosed by the ellipse to 3 decimal places. A 2.221 +.002 B 1.437 +.002 © 1.111…

A: The objective is to find the area enclosed by the ellipse x2+2y2=1 The equation of the ellipse can…

Q: In the rectangle KLMN, with lengths KM = 10x + 24 and LA = 32. Find the %3D %3D value of x. O x = 8…

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Q: Find the area of one petal of the rose curve r = 3 cos 30.

A: Let's find.

Q: le to D'M'S form. Round yo 67. 18.255 h of the arc of a circle of rad

A: Since you have posted many questions here, I can answer only one at a time. Please repost the other…

Q: A symmetric pyramidal tower needs a portion of its top layer repaired. The angle at which the tower…

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Q: Find the areas of the regions Inside the oval limaçon r = 4 + 2 cos θ

A: