sec x 2 X. Ay In the figure to the right, the equation of the solid curve is y = and the equation of 4 the dashed curve is y = 4 cos x. Determine the area of the shaded region.

Q: +secx(y-2sec x+2 sec? xtan x)+y cot x = 0 dx Solve the DE:

A: The Differential Equation is given as , dydx+secxy-2sec3x+2sec2xtanx+ycotx=0 find the solution.

Q: csc x In the figure to the right, the equation of the solid curve is y = and the equation of the…

A: • First we need to find the points of intersection of both curves. Then, set up the integral to find…

Q: fe) = %3D The images of the imaginary axis the Sine y= V3X +7 under t acute angle to I and intersect…

A: Here we use the property that holomorphic function preserve  angels.

Q: dy -1 Find for y tan-(3x) dx Ans= Check Answer

A:

Q: f(x)=2-3cos2(x- pi/4), determine: a) period b) amplitude c) vertical shift d) horizontal shift

A: Given query is to find period , amplitude, and shifts of the graph.

Q: b) Evaluate || 2 dA, where R is region in the first quadrant that is out side the Petal r = Sin(38)…

A: The objective is to find the value of ∫∫R2dA , the region R is lies in first quadrant which is…

Q: P 5 cm R 3 cm T Diagram 1 12 In Diagram 1, QRS is a straight line, QR = 8 cm and tan x =. Find the…

A:

Q: Amplitude ? Period? Horizontal shift ? Solution for this equation as well Y= a sin(k(x-b))

A: Given: Y= a sin(k(x-b)) From the given wave form  Positive Peak value is=7 So Amplitude, a=7

Q: Spot the mistake/s in the solution. Tick the box that applies. I da s (ort? x -1) cot %3D X Csc ^x…

A: For the solution follow the next step.

Q: 2- 1- 3一寸

A:

Q: Simple Substitution dy tan y cot x – sec y cos x dx Hint: First express the functions in terms of…

A:

Q: Spot the mistake/s in the solution. Tick the box that applies. CSC csc" da -2 dx 3 S cccx cot x dx *…

A:

Q: 2y-3a) and the x-axis 2. Find the area enclosed by r = a cos 30 II YOLUMES OF REVOLUTION

A:

Q: Water Supply The flow rate R (in thousands of iters per hour) of water at a pumping station during a…

A:

Q: cosece c) Find a Cartesian equation of r : with 0< 0 < 2n . = tan e

A:

Q: Period ? Horizontal shift? Y= a cos (k(x-b)) what is y?

A: We can see here that the period will be:Time period: 3π4--π4=πA general cosine curve with period π…

Q: y=cos(x) x: 0, pi/4, pi/2, 3pi/4, pi, 5pi/4, 3pi/2, 7pi/4, 2pi Y: Graphy y=cos(x) below:

A: The given trigonometric function is,

Q: Simple Substitution dy tan y cot x – sec y cos x | dx Hint: First express the functions in terms of…

A:

Q: 8. f(sin3x – cos4x) dx

A:

Q: Find the area of the region inside the cardiod r = 2+2 cos 0 and inside the cardiod r = 2 2 cos 0 -…

A:

Q: Activity 3: Find and simply the result, if possible. a. y = V - b. y = x² + n² + x* C. y = x² secx…

A:

Q: A particle is moving with the given data. Find the position of the particle. a(t) = 18 sin(t) + 7…

A: Application of integration and diffrentiation

Q: Find the total area of the shaded region shown to the right given by the curve y = 4( sin x)/1+ cos…

A: Given:

Q: secx In the figure to the right, the equation of the solid curve is y = and the 4 equation of the…

A:

Q: dx 15) Using trigonometric substitution, what is an appropriate value of x to evaluate f, A. 3 cos e…

A:

Q: The sine curves y, = 30 sin 6t - and y, = 30 sin 6t - have the same period. (a) Find the phase of…

A:

Q: Direction: Eliminate the following arbitrary constants to obtain the DE. 5. x = c1coswt + c2 sinwt

A:

Q: The area of the region inside r = 6 cos 20 the rose and outside the circle r = 3/2

A: Given that r=6cos2θ,r=32 Equating both, 6cos2θ=32cos2θ=122θ=±π4θ=±π8

Q: alculate the area of the region lies inside the diagram (r 4 cos 20) and outside e circle (r = 2).…

A:

Q: Find the area of the shaded region. r2 = sin(2theta)

A:

Q: Refer to the figure below. Find a + b., when t = 0, x = 5, y = -6. %3D sec (cost` +t sint cost sin z…

A:

Q: y X 0 A Which ordered pair represents the coordinates of point P? A (-sin 0, -cos 0) B (-cos 0, -sin…

A:

Q: Identify the range and the x-value(s) of the visible vertical asymptote(s): 27 x( radians) a) Range:…

A: The given function is piecewise continuous function. Domain of the function is in the radians. The…

Q: Find the area of the region inside r = 9 cos 0 and inside the rose curve r = 9 sin 0 Note: a.…

A: 1st we will find values of r and θ and also intersecting points  to trace the curves . Then shade…

Q: Harmonic Motion The displacement fromequilibrium of an oscillating weight suspended bya spring is…

A: So, if we have an equation for the displacement of the oscillating weight and the time at which we…

Q: cos B = 2<B<n Find tan (a + B). tan a = T<a< cos

A: Explanation of the solution is given below...

Q: (G)/ sec (2x) tan(2r) dæ .x) d.x

A:

Q: •0.5 5x+3 Evaluate dx. Give your answer in radian up to four decimal places. V1-x²

A:

Q: la When a projectile is launched from a height of h with an initial velocity of vo and an initial…

A:

Q: sin³ydy |1+ cosy The is equal to 1 A.cosy +, cos²y+C 1 B. –cosy +, cos²y + C 1 C.-cosy -, cos²y + C…

A: Use the following: 1.sin2y=1-cos2y2.1-cos2y=(1+cosy)(1-cosy)3.∫xndx=xn+1n+1+c

Q: EQUATION FORM (FOLDE/FOBDE ?) P (x) (y – sin z) dz + sin ædy | Select] | Select] [Select] COSX sinx…

A: Let's find.

Q: particle is moving with the given data. Find the position of the particle 8x7 v(x) = 2 cos r - 4x2,…

A: Given: A particle is moving with the given data.vx=2 cos x-4x2s0=3 To Find: To find the position of…

Q: x = cost and y=sin ²t-3 Part: 0 / 2 Part 1 of 2 (a) Eliminate the parameter and write an equation in…

A:

Q: Find the area of the shaded region shown in the graph. The area of the shaded region is (Type an…

A:

Q: .4 x²+4x-5 Consider dx using Trigonometric Substitution find X- 1. x+2 -2 +3 sec 0 3 sec e -2 + sec…

A: To find I=∫14x2+4x-5x+2dx

Q: 7) Given y = Cos x and y = Cosx Fill in the table below. a = X Radians (플) (7) (号)| (2元) y3D Cosx X…

A:

Q: Damped Vibrations The displacement of a spring vibrating in damped harmonic motion is given by y =…

A: This question is based on general solution of Sine function.

Q: y' = cos?x cos y %3D

A: Given: y'=cos2xcosy To Find: Solution of the following differential equations. Concept: 1.…

Q: Answer the question below: Let h(x, y, z) = ze*y + x² cos(z) cot(y³). The student should find hyzx.

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.