The area bounded by the curve y = 7x and the lines z= 2 and =9 above the z-aris is O 539.00 square units O 595.00 square units O 269.50 square units O 567.00 square units

Q: Given an area D bounded by a cardioid r = 1 + cos θ, θ ∈ [0, π], x-axis, and it’s located on the…

A: If the curve is given by , where   .The area inside the  curve is  .

Q: Find the area of the region enclosed by one loop of the curve. r = 8 sin(5θ)

A: Our Aim is to find the area of the region bounded by one loop of the curve given by r=8 sin(5θ) -(i)

Q: 15. Sketch the region enclosed by the lines x = 3 and y = 1 and the curve xy = 9, and find its area.

A: The area between curves is the area between a curve fx and a curve gx on an interval a, b given…

Q: 3) Show that the area of the shaded parabolic arch y = (x-a)(b-x)in the figure is equal to…

A:

Q: Find the length of the curve over the given interval. r = 8, [0, π/6]

A:

Q: Which of the following regions have the same area? I. The region enclosed by the curve y = |x2 − 1|,…

A: Part (1):- Given curves are  y=x2-1,  the lines x =0 and x=2 and the x-axis. Area = ∫01 -x2-1dx +∫12…

Q: a bounded by the curve y = 3VI and the lines z = 6 and z= 8 above the z – azis is Võ+ 12v6 O 10

A: We have to choose the correct answer

Q: Consider the curve segments: 1 - to x = 4 and 3 1 to x = $1: y = x² from x S2: y = Vx from x = = 16.

A:

Q: A line is tangent to the curve y = 3x1 and is bounded by the r- and y-axis in the first quadrant.…

A: Let's find.

Q: Find the area between the curve y = cos (2x) and the line joining the points (pi/4, 0) and (pi/6,…

A: Area of the region is (2-√3)/4

Q: Find the area between the curve y=2 and the chord joining the points (0,1) and (2,4). O 0.5608 O…

A:

Q: What is the are bounded by the curve y = 6 cos x and the x -axis from x pi/6 to x = pi/2?…

A: Given curve,                    y = 6 cosx bounded by the x -axis from x =π6 to x = π2 The area is…

Q: Find the area of the region bounded between the curves y = sin(x), y = cos(x) on the following 4 -27…

A:

Q: 1200 1100 1000 900 800 700 600 500 400 300 200 100 100 Find the (exact) area under the curve y = 4x*…

A:

Q: Find the length of the curve y = x³/2 from x = 0 to x = 5. O 12.407 O None of these O 14.702 O…

A:

Q: 1) Find the limited Zone of curves piven! area the remaining bet ween the 2. y = 9= x² and

A:

Q: If  x=10cos^(3)⁡θ and y=10sin^(3)⁡θ, find the total length of the curve swept out by the point (x,y)…

A:

Q: Which of the following has more area under a curve with µ=5 and σ = 4 A.  µ ± 3σ  B.  µ ± 2σ  C.…

A: # given random variable x with mean =5 and standard deviations=4  Then to check under which range…

Q: The length of the curve y = from x = 0 to x 6 is

A:

Q: A trapezoid has bases with lengths x + 3 and 3x — 1 and a median oflength 1 1 . Find the value of x.

A: Consider the given trapezoid: where, AB=x+3 and CD=3x−1,Median, XY=11From Formula,XY=AB+CD2

Q: Compute the length of the curve 3ti – 6tk over the interval 8 <ts 18.

A:

Q: Find the area between the graph of y = sin x and the line segment joining the points (0, 0) and ( 7/…

A:

Q: The area bounded by the curve y = 6x , the x-axis and the ordinates x = = 0, x = 2 is 6 O 3 O 12 O…

A: area bounded by curve and x axis given by integrating curve

Q: The area bounded by the curve y = 2x - x and the ordinates x =0;x= 4 is: %3D %3D 14 sq. units 3 15…

A:

Q: Find the z value such that 75% of the standard nornal curve area lies to the left of z.

A:

Q: Use Simpson’s Rule with n  =6  to estimate the length of the curve x  =t - et -6&lt;t&lt;6

A:

Q: 1 the area of the region enclosed by the curve y = =, and the lines y = x and 2. Start by sketching…

A:

Q: Find the area bounded by the curve (p^2)=16cosθ

A: We have to find the area.

Q: Find the exact length of the curve. x = e' +", Osys 4

A: Given function is  x = e^y +(1/4)e^-y

Q: Find the exact length of the curve. y = In(1 - x²), o s x s

A: Solve the problem using definite integral

Q: Find the length of the curve given by r(t) = for -5 <t<5. O 5/19 O 10/10 O 10/19 O 5/10 O 10

A:

Q: Find the length of the curve defined by the y-axis. over the interval <r< 1 about 2.r

A:

Q: From the vertex (0, c) of the catenary y = c cosh(x/c) a line L is drawn perpendicular to the…

A:

Q: Approximate the area under the curve of y = x² + 3 over the interval x = -3 to x = 1 using 4…

A: Recall: Trapezoidal rule  Area=∫abf(x)dx≈∆x2fx0+2fx1+2fx2+···+2fxn-1+fxn where, ∆x=b-a2 We have,…

Q: find the length of the curve on the given interval: y=1/3(x^2+2)^(3/2), [0, 1]

A:

Q: 2. Find the area of the smaller loop of the curve r = = 3( 1- 2cose)

A: We will solve the following

Q: Find the length of the curve y = a +; from a = 0 to x = 1. O None 5/2 O6/2 3 O4/2 3. 3

A:

Q: Find the area of the region enclosed by one loop of the curve. r = 4 sin(9θ)

A:

Q: (b) A Curve is drawn to pass through the following points: t 1 1.5 2 2.5 2 2.4 2.7 2.8 Find the area…

A: Simpsons 3/8 rule is used to approximate definite integrals. The integral can be approximated to…

Q: (a) Find the total area of the region between the curves y = sin x and y = cos x for 0 < x < 3x/2.…

A:

Q: Consider the region bounded by the curve v= x2 - 1 and the x - axis over the interval [0,3]. Find…

A: The equation for the x-axis is y=0. Draw the given two curves.

Q: The positive number c for which the curve yd- divides the area under the curve y 2209- from O to 47…

A: Given

Q: The length of the curve y from x=0 to x= 6 is

A: We need to find the length of the curve  y=23(x2+1)32 from x=0 to x=6

Q: y = In(1 – a²) ; 0 < æs

A: Solution:-

Q: determine the area of one leaf(petal) of the rosde curve r = 2sin(3Θ)

A:

Q: 1. Find the area of the regions shaded by the following curves: r = 2cos0 and r 2sine %3|

A: given polar equations are r=2cosθr=2sinθ

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.