5. Find the total area between r = 4 sin(0) andr = 7 sin(40). %3D %3D

Q: 2. Find the area which is inside the first curve and outside the second. r= 4(1+sine) r= 4

A: We will use the formula of polar coordinates of integration for calculating the area of the region…

Q: Find the total area between r = 4 sin(0) and r = 7 sin(40). %3D

A: Double integral is used to integrate the function of two variables over two-dimensional region.…

Q: what is the area between the curves: y = 7 cos( pi*x),    y = 12x2 − 3

A: 7cos(πx) and 12x2-3

Q: Find the area of the region outside r = 9 + 9 sin 0 , but inside r = 27 sin 0. 24T

A:

Q: Draw the curve r = 2 cos 20 and calculate the area enclosed by this curve

A: Given r=2cos2θ

Q: What is the area under one crest of the sine curve, from x = O to x = n? y=sin x dx 1/2

A: Given problem:-

Q: .: The area of the region that is inside of the cardioid r = 2 +2 cos 0 and outside of the circle r=…

A: Area in polar form given below

Q: 4. Find the area of the region that lies inside the curve r = 1 – sin 0 and outside the curve r = 1.

A: It is required to find the area of the region that lies inside the curve r=1-sinθ and outside the…

Q: Find the area of the region inside one leaf of the three-leaved rose r=2 cos 30.

A:

Q: What is the ratio of the area under the curve with the x-axis of y = sin2x (from x = 0 to x =?/2) to…

A: area of curve

Q: Find the area of the region outside r = 6+ 6 sin 0 , but inside r = 18 sin 0.

A: The given curves are,r=6+6sinθ=r1(let)and r=18sinθ=r2(let) We need to find the area of the sketched…

Q: Find the area of the given region analytically. Common interior of r = 3 – 2 sin 0 and r = -3 + 2…

A: Consider the provided question, The graph of the given equation is drawn as,

Q: Determine the area of the given region. y = sin x for 0 to pi/3

A: Given:

Q: Determine the area of the shaded region.

A: We have been given a bounded region, and equations for boundary curves are written on the graph. We…

Q: Use integration to find the area of the rose curve r = cos 20.

A: Concept: Rose curve: A rose curve, commonly known as a multiform or Grandi's rose The rose's polar…

Q: 4. a) calculate the area of the area bounded by the Curves TI y=Sin 2x and y sin 2x, OSX<

A:

Q: 9. Find the area of the region cut from the first quadrant by the cardioid r=2 + sin®

A:

Q: What is the area between the curve G(b) = 3 sin(b) and the horizontal axis, between the points b…

A: (a) Given curve, And the horizontal axis between the points  To find: Area under the curve G(b) on…

Q: 8) Find the area of the shaded region : y = sec? x 2+ 1 y = cos X 4

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

Q: Find the area between y,= 2 sin x and y = 5 cos x over the interval [0, 7]. Sketch the curves if…

A: Topic:-  application of integration

Q: Find the area of the region enclosed between y = 3 sin(x) and y = 3 cos(æ) from æ = 0 to a = 0.87.…

A: Given: y=3sinx and y=3cosx from x=0 to x=0.8π To find: We have to find the area of the region…

Q: Show that if k is a positive constant, then the area between the x-axis and one arch of the curve y…

A: y = sin kx cuts the x axis at y=0. Solve for x.

Q: 4. Find the area that lies inside the curve r = 4 cos and outside the curve r = 2.

A: Given, curves are

Q: Q-Find the area of the region that outside r= 2 sin (e) and insider (1+cos e)?

A: Given functions are r=2sinθr=1+cosθ These are plotted on cartesian plan using graphing calculator.

Q: Find the area of the region. Interior of r = 8 sin e

A:

Q: TT 8. Find the area between the curves y = cos r and y = sin x, %3D

A: Between pi/4 to pi/2 sinx is greater than cosx  So y=sinx will be above y=cosx between pi/4 to pi/2…

Q: Calculate the area lies outside the circle r 4 and inside the cardioid r = 4(1 – cos 0). -

A:

Q: 8) Find the area of the shaded region: y = sec? x 1- y = cos x 4

A: Consider the formula for the area between the curves. From the given graph, find f (x), g (x), a and…

Q: 2. Find the area which is inside the first curve and outside the second. r = 4(1+sine) r= 4

A: Double integral is used to integrate function of two variable in two-dimensional region. If the…

Q: (b) Suppose we wish to estimate the area 3 Vĩ dx 2 using the Trapezium rule.

A:

Q: 8) Find the area of the region R cut from the first quadrant by the cardioid r = (1+sin ) .

A: Explanation of the answer is as follows

Q: 2. (a) Find the area of a region that lies inside the circle r = 2 sin 0 and outside the circler 1.

A:

Q: Find the area of the shaded region shown in the graph. Ay y = 27 sin x 27 y= 27 cos x

A: Solution :-

Q: Find the area of the region outside r = 10 + 10 sin 0, but inside r 30 sin 0.

A: Consider the given: Find the area of region outside r = 10+10sinθ and inside r = 30sinθ.Find the…

Q: 2. (a) Find the area of a region that lies inside the circle r 2 sin 0 and outside the circle r = 1.

A: As you post multiple questions According to the guideline I only solve the first problem please post…

Q: Q2: Find the area common between the curves r = a (1+ cos0), r =a (1 – cos0).

A:

Q: Find the area of the region outside r = 9 + 9 sin 0 , but inside r = 27 sin 0.

A:

Q: r=2a+acos 20 A r=sin 20

A: The polar curves do not intersect at any point. The area between the curves is the shaded region.

Q: Find the area of the region enclosed between y = 2 sin(x) and y = 2 cos(x) from x = 0 to x = 0.37.…

A:

Q: 14. Find the area of the curve p2 r² = 16 cos 20

A: Find the area of the given curve

Q: Find the area between the two curves in the following figure: r=2a+acos 20 r =sin 20 For a = 14

A: Given: r=2a+acos2θr=sin2θa=14

Q: . Find the area between the curves r = sin0, and r = V3cos0

A: Area of polar curve

Q: The area of the part of the cardioid r 1 cos(0), where 0 <0 < T, is equal to...

A:

Q: Graph the equations and shade the area of the region between the curves. Determine its area by…

A: The solution are next step

Q: (b) Sketch the graph of the cardioids r = 2(1 + sin 0) and r = 1 – sin 0. Find the area of the…

A:

Q: 5. Find the total area betweenr = 4 sin(0) andr = 7 sin(40). %3D %3D

A:

Q: 2. Find the length of the entire perimeter of the region inside r = 14 sin 0 but outside r = %3D…

A:

Q: Find the area enclosed by the curve: r = 4 +2 cos 0

A: To find the area enclosed by the curve r=4+2cos θ. The formula enclosed by the curve is given by:…

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.