ut pu!t(o ( polar. points of the f(Z) and calculate %3D 2. at these points lesidual Values the

Q: /25– x² 1. Evaluate (x2 + y? )3 dy dx by converting to polar coordinates.

A: Evaluate the double integral by using the charge of polar coordinates

Q: 7. Find the area between the rays 0 = 0 and 0 = and the graph of the polar function r =e° .

A:

Q: Which of the following is the surface area of the solid body created by rotating the given…

A:

Q: (b) Compute using polar coordinates quadrant common between circle x² + y² = 2x and circle x² + y² =…

A: Given circle is, x2+y2=2x and x2+y2=1 Evaluate ∬s ca y dA such that s is the area of the region in…

Q: Problem 4 B Find, by using polar coordinates in R?, the volume of the region bounded above by the…

A:

Q: 4–x2 Sở SY dy dx using polar Evaluate 2x-x2 Coordinates.

A:

Q: Consider the curve given in polar coordinates by r = 2 – sin 0. Compute the slope at 0

A:

Q: b) Find the slope of the tangent line to the given polar curve at the givén value of e: r=2 cose, e…

A:

Q: 4. Integrate L e-° dxdy by converting to polar coordinates, and ase that result to integrate J e dx.

A: This problem is convert to pollar form and then solve so,......

Q: 4. (i) Use the parametric equations of an ellipse, x = a cos (t) , y = b sin (t), 0 < t 2m, to find…

A:

Q: Solve for the Plane are in Polar coordinates with graph/drawing: Find the area bounded by the curve…

A:

Q: radiation is focused to an unhealthy area in a patient’s body using a semi elliptical reflector,…

A: Given that width of the reflector=100cm          And height of the reflector=30cm Here the foci lie…

Q: Find the area of the region which is inside the polar curve r = 8 cos(0) || and outside the curve r…

A:

Q: Find the slope of the tangent line to polar curve 5 r = 5 cos 0 at the point Vē' 4 2, Preview

A:

Q: Consider the curve given in polar coordinates by r = 0 + cos 0 . Compute the slope at 0 = 0. %3D O…

A: Slope of polar curve r=f(theta) is given by dr/d(theta) Differentiating r with respect to theta we…

Q: Find the slope of the line tangent to the polar curve at the given points. 7-49 cos26. (0.7). (0.-)…

A: Slope of the tangent line at given point for curve r2=49cos2θ

Q: er the polar curve r=O, dy at 0 = %3D dx

A:

Q: Use the integration capabilities of a graphing utility to approximate the area of the surface formed…

A: Given r=4cos2θ and 0≤θ≤π4 To find the area of the surface formed by revolving the polar equation…

Q: Find the area of the wedge-shaped region inside the polar curve r = cos(e) between e = 0 and e =…

A: The area of the region using polar coordinates is given by A=∫αβ12r2dθ Here the integration limits…

Q: ind the area A of the inner loop of the limacon with polar equation r = 12 cos(0) – 6. limaçon Use…

A:

Q: Find the area enclosed by the simple closed curve given by the parametric equations, x = 2cost +…

A: *to find:- total area.

Q: Use polar coordinate to evaluate (x² + y* )² dx dy . Leave your answer correct to two decimal…

A:

Q: Find the length of the spiraling polar curve r = 7e²0 From 0 to 2π. The length is

A: We will use the length formula of a polar curve on a given interval.

Q: -7. х 3D sin?t, у— cos t yA

A:

Q: Radiation is focused on an unhealthy area in a patient’s body using a semielliptical reflector,…

A:

Q: Radiation is focused to an unhealthy area in a patient’s body using a semielliptic reflector,…

A: The width of the reflector is 100 cm. The height of the reflector is 30 cm.

Q: Find the area between 0 = 0 and 0 = π/2 of the polar curve r = 1 + sin 0

A:

Q: Determine the arc length of the curve formed by the polar equation r = 4 cos 0 - 4. 2T 2п 2√/2 √1 -…

A:

Q: Find the area of the region enclosed by one loop of the polar curve r=4 cos(30). (See diagram 1…

A:

Q: 1. Use the parametric equations of an ellipse, x = a cos 0, y = b sin 0, 0 < 0< 27, to find the area…

A:

Q: Page 9 9. The curve y = x2 with 0Sx<1 is rotated about the y-axis. Find the exact area of the…

A:

Q: Jse polar coordinates to describe the region shown. y -2 -1 1 1 2 Xx

A:

Q: Sketch in Polar X =-Jy %D

A: This can be done by the equations for cartesian to polar conversion which is derived in step 2.

Q: (a) æ = sin t, y = csc t, 0 1. Thus, the curve is the portion of the hyperbola y = 1/x with y > 1.…

A: Given x=sin ty=csc t0&lt;t&lt;π2

Q: ind the points (x,y) at which the polar curve r=3+3sin(θ),−π/4≤θ≤π/4 has a vertical and horizontal…

A:

Q: Use polar coordinates to evaluate sin (a² + y²)* dA, R where R is the region enclosed by the curves…

A: Here if we put limits in order dr dθ, then the given integral can not b evaluated so we need to put…

Q: Use polar coordinate to evaluate (x² + y² ) dx dy - Leave your answer correct to two decimal places.

A: To evaluate: ∫01∫01-y2x2+y2dx dy

Q: 2. the area of the curve r-a cos 2 0

A: The curve contains two petals,

Q: Find the the area of the region enclosed by the polar equation 3 sin(20), 0<0 < T/2.

A:

Q: Find the area inside the polar curve r = 2+2 cos 0.

A:

Q: Consider the parametric equations x = a cos3 t and y = a sin3 t with 0 ≤ t ≤ π. Find the surface…

A:

Q: Use the parametric equations of an ellipse x= 9 cos e = 14 sin 0 0<0 < 2T to find the area that it…

A:

Q: Find the polar eauation for the curve represented by the given Cartesian eavation. Dy=-4x² 1.

A: We need to find polar equation.

Q: 2. Evaluate Vr2 + y? dy dx by switching to polar coordinates.

A:

Q: Find the length of the spiraling polar curve r = 2e50 From 0 to 27.

A:

Q: Change to polar integral 1 -(2²+y?) dydx e 0 -/1-2?

A:

Q: Find dy/dx and the slopes of the tangent lines shown on the graph of the polar equation. (If an…

A:

Q: x = 7 cos 0 y = 14 sin 0 0 <0< 2n

A:

Q: Use polar coordinates to evaluate sin (2² + y²)³ dA, where R is the region enclosed by the curves…

A: Given : R is the region enclosed by the curves with polar equations       θ=0, r=π3, and r=θ To…