L - 4° – 3x + 2x? – 10) dx

Q: Find the area of one loop of the rose defined by the equation r=cos2θ.

A: Given

Q: Find the area of the interior of the four-petaled rose r=sin(2θ)

A:

Q: If the area inside both the cardioid r = 8+ 8 sin 0 and the circle r = 8 is A + B÷, then what is A +…

A: solution is given below

Q: Graph the limaçons. Cardioids r = -1 + sin u

A: A limacon is a curve of the type or where a and b are not equal to . The ratio of a to b is always…

Q: Find the length of the curve r= cos'(8/3). OsesT/4

A:

Q: Evaluate 8 cos (2a² + 2y²) dy dæ Hint: You could take a cab to the pole.

A:

Q: What would be the orientation of the figure below after a reflection across the x-axis? L

A:

Q: The appropriate trigonometric substitution for dx is 3r-r2

A: To find:∫13x-x2dx

Q: How can I get the result? Which is the result?

A: Use Pythagorean theorem,

Q: Use the previous exercise to write the equation of the circle ofradius 5 and center (3, 4) in the…

A: Standard form of a equation of a circle whose center is (h, k) and radius is r is, x-h2+y-k2=r2

Q: Find the length of the entire perimeter of the region inside r = 18 sin but outside r = 3.

A:

Q: use the disTance Formula to Find the distonce between (e)and(3,2)

A: We use the distance formula to answer the given question.

Q: Use the triangle below to T 24 25 7 R **Leave all answers as fractions (For ex sine ZR = cosine ZR =…

A: Here we have to find the values of trigonometric ratios from the given triangle.

Q: Consider the following figure where AABC - ADBE. B A C Given: AC = 16, CB = 12 E is the midpoint of…

A:

Q: Find the length of the cardioid r = 1 - cos θ.

A: Arc length in polar coordinate is given by:

Q: Find the area of one leaf rose r=a cos 2B

A: The given polar curve is: r=a cos 2β

Q: Find the length of the secant XY in the following diagram if the radius is 6, XW= 9 and WY =XZ z а.…

A:

Q: Find the area inside the loop of the limacon given by r = 9- 18 sin 0

A: The graph of r=9-18sinθ is symmetric at y axis thus the area of the total figure can be found by…

Q: l1. The fiqure below shows a three lamp, located right of the created units to the 4-anis and a…

A: Answer is below

Q: - 77T then use the rectangular coordinates of P(t) ft= to fin 6. sint = %3D cost = %3D

A: Solution:

Q: Use the arc length formula to find the length of the curve y = 5x - 3, -2 sx s 3. Check your answer…

A:

Q: Find the tangent of ZD. 3/3 2V10 E Write your answer in simplified, rationalized form. Do not round.…

A:

Q: Graph the limaçon. Cardioids r = -1 + sin u

A: Given- r=-1+sinu To Draw- The graph of the above equation of the limaçon.

Q: The figure below shows a circle with center Q, diameter FO, and secant FD. Which of the angles must…

A: The given query is to find the angle which is the right angle .

Q: E. Find the cartesian equation of the following: 2. r2 cos(20) = 4 %3D

A:

Q: 4. 2 cos(2x – y) dx – cos(2x – y)dy = 0 - %3D

A:

Q: using the Lagrange multiplers method, find the closest and furthest points of the elips yx?ty?=4 to…

A: Given: Ellipse: 4x2+y2=4 Line: 3x-2y+6=0 To find the closest and furthest point of the ellipse from…

Q: Use the arc length formula to find the length of the curve y = 3x - 1, -1 s xs 3. Check your answer…

A:

Q: Use this reduction formula and your answer in part a) to find ſ cosª xdx and ſ cos® xdx.

A: To find ∫ cos4 x dx and ∫ cos6 xdx First we find ∫ cos4 x dx Apply integration reduction…

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: use the distance Formula tO Find the distance between e) and(3,2)

A:

Q: find the total length of the circle r = 2a cos 0 for a > 0?

A: Recall the below fact.

Q: (b) Find the entire length of the cardioid r = a(1+cos0).

A:

Q: Evaluate the intergral attached as an image with the question.

A: The given integral is,

Q: Using appropriate trigonometric substitution, dx XV9 — х2 is transformed to

A:

Q: 3. In the diagram below, tangent DA and secant DBC are drawn to circle O from external point D, such…

A:

Q: Give the length of the missing leg. cos(A) %3D cot(A) %3D

A: We can use Pythagoras theorem to find the value of Missing leg.   Pythagoras Theorem  In a right…

Q: thod, find the general solut sin(3x)

A:

Q: Use Green's theorem to evaluate $y – sinx)dx + cosx dy Where c the triangle of the adjoining figure…

A: Green`s Theorem:-  Green`s Theorem states that the line integral is equal to the double integral of…

Q: Evaluate the following using the TRIGONOMETRIC SUBSTITUTION METHOD: 1.5 dx

A: Given: I=∫dxx2x2+4 For evaluating given integral, we substitute x=2tanθ…

Q: Use one of the formulas in the equation A = f. x dy = £. -ydx = } Þc x dy – y dx to calculate the…

A:

Q: dx after appropriate use of trigonometric substitution, it will be transformed into? Vx² –4x+1'

A: Given That: The integration, ∫dxx2-4x+1

Q: 6. Find the length of the parabolic segment r %3D 1+cos 0'

A:

Q: • Graph the cardioid r a(1+ cose), a < 0? %3D

A: the graph of given  cardioid

Q: Delerumine the coordnates OF,t for YX Finl te Midesint oh a seMent w

A: Please refer to the image below

Q: ュCんーリ)キッアメー1ドつn Yeメt. フ4 (おつ ?ケ+ Find the nibimal distance between the

A:

Q: Find the length of the cardioid r = 1 + sinθ

A:

Q: a²z If z = arctan (), a²z + ду? 1. find

A: First calculate the partial derivative of z with respect to x. ∂z∂x=11+y2x2-yx2          ddxarctan…

Q: Find an upper bound of the absolute value oI e +1 (a) dz, where C is the right half circle |z| = 3,…

A: Note:  Since you have posted multiple questions, which are independent, as per our policy we are…

Q: Find the area of one leaf of the "four-petaled rose" r =7 sin 20 shown in the following figure: r=,,…

A: