2. Write down the name of the curves and shade the region that is inside of r = 8 and to the left of r = - 4 sec 8. Hence, find the area of the region shaded.

Q: (ii) = 0.3r - 3ry dt = -2y + 0.1zy dt

A: Note: As you asked only Question2 (ii) part so, I answered here only part (ii).

Q: Ex. 6 If y(1)=12, y(2)=15, y(5)=25, y(6)=30 find the value of У(4) %3? 1 5 y 12 15 25 30

A: Legranges interpolation, to find the function value at point

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A: Simple Harmonic motion so y(t)=0 is not a solution.

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A: Number of author = N = 400  possibility for An established author is successful = n  = 112

Q: if if +1 proof that hot comtin aous Otis Riemann thtegrable

A:

Q: 1. Sketch the graphs of v = 2x - x2 and y = - x. Shade the region bounded by the curves, Find the…

A: Given, The sketch graph of; Y = 2x - x² Y = - x The volume of the solid that is formed by revolving…

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A: Derivative of the function at coordinate x=1 is equal to gradient of curve

Q: a+ 2b+3c-2d =6 3a + 2b -c+2d = 4 2a -b-2c-3d = 2 2a - 3b +2c+d =8

A:

Q: Question A7 Calculate the flux of the vector field F = (0, z, y) through the surface E: x = 2u?v? E:…

A: Value of the flux depends on the normal direction. So it may be positive or negative .

Q: [CLO-1] The table attached shows the preference schedule for an electic Number of Voters 1st choice…

A: Count the total number of votes The total number of votes are 41+10+10+15+5=81

Q: Solve the following inequality in the complex variable z: Re ((z − 1)(z − 2i)) ≥ Re(z − 1) · Re(z −…

A:

Q: Complete the following table of values of a function p : {3,4,..., 11, 12} {-4, -3, ...,4,5} 3 5 10…

A:

Q: Find a rational point on the plane conic 2x2+y? = 6 other than the points (+1,±2). Show all your…

A:

Q: (O U 1)* (01)* 1*01* 01* > > > >

A: This is a problem of Automata.

Q: 2. Let C be an open (upper) semicircle of radius R with its center at the origin, and consider J…

A:

Q: Calculate the present value PV of an investment that will be worth $1,000 at the stated interest…

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Q: 212 Given that the moment generating function of a random variable X is e2, using the Maclaurin…

A:

Q: Use Clairaut's theorem to draw the geodesics of the catenoid

A: Solution :-

Q: At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 15 knots and ship…

A:

Q: 1. Find the explicit solution to the following initial value problem.Solve your answer for y. X y y'…

A:

Q: Q.1/ Find the area of the region bounded by the line y = 1- x and the curve x = 3 – y?.

A:

Q: In the following exercises, plot the point whose polar coordinates are given by first constructing…

A: If r is negative then add multiple of π in angle .

Q: Given the series Which ONE of the following statements is TRUE? A. The series converges to 1 by…

A:

Q: 1 - Find the eigen values and eigen vectors of the matrix: 1 3 4 |-2 1

A: Solution:-

Q: -х - 5у — 5z%3D2 4х — 5y + 4z % 19 x+ 5y – z =-20 a) formulate the appropriate matrix for the system…

A: We have : -x-5y-5z=24x-5y+4z=19x+5y-z=-20 Part(a) The given system can be written as:…

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A: Consider the following system of three linear simultaneous equations with three variables.…

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A: Solution

Q: 10. Find the general solution of the system of linear equations x - y +2z + v = 2.x - 2y + z + 5v+2w…

A: To find the general solution of the system of linear equation, we first write in the matrix form and…

Q: A test program for grade 10 can generate quadratic functions in a standard form y = ax + bx + e…

A: Given quadratic function in a standard form is y=ax2+bx+c wherein coefficients a, b and c are…

Q: Let the curve C be traced by the vector-valued function Rt) = cos(rt) i + xt j + sin(rt) k. %3D

A: The vector valued functions are usually represented in the form: r→(t)=x(t)i^+y(t)j^+z(t)k^, where…

Q: 4 Using the Alternating Series Remainder Theorem, determine the number of terms N required to appro…

A: The degree to which the nth partial sum of an alternating series accurately predicts the sum of the…

Q: 2; if x 4. (a) Find the values for f(x) when x = -3, -2, - 12, - 1, 0, ½ , 1, 3, 4, 5, 6 (b) Sketch…

A:

Q: ct the Fourier series for the function f(x) = (T-x)² for 0 <x < 2n ? %3D

A:

Q: Evaluate the integral: I = ∫∫∫s  2z dxdydz where the solid S is defined as: S =  { (x, y, z) ∈ R3…

A: The integral given is as follows: I=∭S2zdxdydz The solid surface is defined as follows: S=x, y,…

Q: show Itat the differential equation メり dy - -2-ye" dx xーとリ Xe 29 its exact and find its Folution

A:

Q: 4. This question asks you to find an integral using Riemann sums. Recall from lectures, that a…

A: We will draw curves for y=x2 . Then draw rectangle for right and left riemann sum to decide which…

Q: S Evaluate L-{: (s2 + 144) (s – 8)

A:

Q: (e) Let B be 2 x 2 matrix. any a CO a = Uj1 (i) Show that there are real numbers u11 and a such that…

A:

Q: Using the Laplace transform method, solve for t > 0 the following differential equation: d²x dx +3-…

A: The solution is given as

Q: In Exercises 1 and 2, we consider the system dx 2x + 2y %3D dt dy = x + 3y. dt For the given…

A: Disclaimer: Since you have asked multiple question, we will solve the first question (Ex 1) for you.…

Q: ez Write the adjacency matrix for the graph. Write the incidence matrix for the graph. State the…

A:

Q: 15. Let T: P, P, be defined by T(a, + a,x+ a,x²) = (5a, + 6a1 + 2a,) - (a, + 8a,)x + (a, – 2a,)x² a.…

A: The given linear transformation is T(a0+a1x+a2x2)=(5a0+6a1+2a2)-(a1+8a2)x+(a0-2a2)x2 (a) To find:…

Q: 7. When 3 edges are removed from a graph G without removing any vertices the resulting graph G' is a…

A: Consider a graph G which resulted in a forest graph G' when 3 edges are removed and no vertex is…

Q: Given the graph as below. Determine whether it is Eulerian circuit, semi-Eulerian or neither. State…

A: Introduction: Eulerian graph is defined as a graph in which we tour the edges of a graph and visit…

Q: 13. Solve the ivp differential equation: +y = e2x; y(0) = 0,y'(0) = dx

A:

Q: Find x to the nearest tenth. 20 25 4.3

A: Given traingle is a Right angle Triangle.  Since one given angle is 90° .

Q: 2. Write the equation for each sequence. 3, 6, 9, 12, 15 b. 5, 7,9, 11 а. с. 3, 6, 11, 18

A: (a)  a1=3=3×1;a2=6=3×2;a3=9=3×3;a4=12=3×4;a5=15=3×5;..an=3×n=3nHence an=3n

Q: Sarah's mother tells her that she can play video games after she runs 5 laps around the circular…

A:

Q: Solve the equation: u = a u 0 Uxx u(x, 0) = f(x), a(0, t) = u(L, t) = 0 %3D

A:

Q: 5. Suzy gets a commission of 9% for selling a $12,000,000 real estate property. 40% of the…

A: Solution