1. In the diagram, POQ is a sector of a circle with centre O and radius 10 cm. Q 9) radian x 10 P. 4. R Given that QR is perpendicular to OP and PR = 4 cm, find %3D (a) ZPOQ in radians, b) the area enclosed by PQR.

Q: Determine the total work, by Green's theorem, done by the force field F(x,y)=, on a particle followi...

A:

Q: Find the volume of the given solid. Bounded by the coordinate planes and the plane 8x + 9y + z = 72

A:

Q: (E) : 22 + 2Xz – 2X + 15 = 0 ation: ndom pumber over 10. 41 What is the probability th:

A: This is a problem of theoretical distribution and the nature of roots.

Q: (a) If U and V are vector subspaces of Rn, then U ∪ V is also a vector subspace of Rn.   (b) If V an...

A:

Q: 2w + 2x - y +z = 4 2w + 5x – y +z = 6 8w + 5x-3y + 4z = 12 Зw + 3x - 2у + 22 — 6 CamScanner

A:

Q: Solve for x. If necessary, round to the nearest ten-thousandth. (If there is no solution, enter NO S...

A:

Q: The group of rational points on the unit circle.º A point in the complex plane with both coordinates...

A:

Q: Let S = {(x, y) : x and y rational numbers}. a. What is the interior of S? Justify your answer by gi...

A: A point x is said to be an interior point of S if there exists a neighborhood N(x) of x such that N(...

Q: Solve: y''' – 3y'' – 15y' + 125y = 0 - y(0) = 4, y'(0) = 13, у'"(0) — – 94 - y(t)

A:

Q: Solve the given linear programming problem using the table method. A table of basic solutions is pro...

A:

Q: The solution of the non-exact differential equation (x³ev +*) dy+ (1+ 2x²e³)dx = 0 is: x^2 e^y-In(yx...

A:

Q: Denoting by PN the vector space of polynomials of degree less than or equal to N, with real coeffici...

A:

Q: Use the second Taylor polynomial P2(x) for f(x) = r? + cos(x) about co = 0 and evaluate S f(x)dx.

A: Given: fx=x2+cosx The second degree Taylor polynomial about x0=0 is P2x=f0+f'0x+f''02x2. Here, fx≈f0...

Q: Find the indicated maximum or minimum value of the objective function in the linear programming prob...

A: we have given a linear programming problem maximize f = 20x +50y x+2y≤48x+ y ≤302x+y≤ 50x≥0, y≥0 we ...

Q: 4. Let E denote the set of all 3 x 3 orthonormal matrices whose first column is (0, 1,0)". (a) Write...

A:

Q: (2) (a) For which PDE that we've studied is the Maximum Principle true? Describe the Maximum Princip...

A:

Q: (a) Prove that there exists a function f : Z → Z so that f is one-to-one but f is not onto. (b) Prov...

A:

Q: Given: - The system of the linear equation is, 3x – 2y = 5 2y + 3z = 4 x + y – z = 1 To solve: - The...

A:

Q: Using tabular integration, the integral ft"(-2x² + 4x) cos(2x) dx equals: 3Tt -1+ 3T 2 2 2 the above...

A:

Q: Let V be a finite-dimensional vector space over a field F, and let T:V → V be a linear transformatio...

A: Here given as V be a finite-dimensional vector space over the field F. T:V→V be a linear transformat...

Q: (: ) . Consider the matrix A = Find (a) the characteristic polynomial of A; (b) the eigenvalues of A...

A: By Bartleby policy I have to solve first 3 subparts only. Repost separately remaining questions.

Q: The standard form of the differential equation cosx y' + cosx y = x sin x is: None of the above O y'...

A:

Q: 5- Verify that the given function u is harmonic in an appropriate domain D. Find v(x,y), the harmoni...

A:

Q: 2. Given the following profit-versus-production function for a certain commodity: 8 1.1 P= 200000 – ...

A:

Q: 7. Consider the subset S of R³, S = {(x, y, z) | 2.x – y + 3z = 0}. Show that S is a subspace and fi...

A:

Q: Problem 1: Find the equation of the parabola with focus at ( 1, 1) and x = 7 as directrix.

A: Given, Focus = (1,1)  Directrix :  x=7 To find : Equation of parabola  

Q: Evaluate the integral, if it exists: +z sinx dx

A: Given integral is ∫-z+zsinxdx

Q: Q1. (a) Solve the equation dy dr

A: It is given that ;                dydx = -xy The given differential equation can be solved by variab...

Q: 4) Sketch the region and find the area bounded by + = 1, y = ±3 and y = x + 4 using double integrati...

A: We have to find the area of the region.

Q: Consider the function f(t) = sint + cost defined on the interval –1 <t< 1. Select the option that be...

A:

Q: cross section is made parallel to the bases of a right triangular prism. Which of the following stat...

A: Given: A cross section is made parallel to the bases of a right triangular prism.

Q: 5- Verify that the given function u is harmonic in an appropriate domain D. Find v(x,y), the harmoni...

A: 5. (iii)

Q: Let W = {(x − y − z, y − z, x + y − z) | x, y, z ∈ R} ⊂ R3 be a vector subspace. Do the following (j...

A:

Q: find the approyimate Valueof: +.

A:

Q: Let M1 = ( S1, Ih) and M2 = ( S2, I2) be two matroids with disjoint ground %3D sets. Prove that the ...

A: Given: Two matroids M1=S1,I1 and M2=S2,I2 with disjoint ground sets.   To prove: The subset system M...

Q: Formulate the situation as a system of linear equations. Be sure to state clearly the meaning of eac...

A: ormulation of equations Write A for x1 , B for x2 and C for x3. A truckloads of GrowRite contains 40...

Q: Determine whether these functions are onto, one-to-one, both or neither. Justify your answer. f(1) ...

A: (A) 2 and 4 are different elements in domain mapping to the same element d in the co-domain under f....

Q: The angle 0 is in standard position, passing through the point (12, -35). What is the measurement of...

A: Given point: (12,-35)

Q: Consider the function fix) - sin x, Complete the table below and sketch its graph. x011/6 1/2 5n/6 7...

A:

Q: Determine the total work, by Green's theorem, done by the force field F(x, y) =, on a particle follo...

A:

Q: 3. f(x) = x In x - 2x + 3 on (0, ) . f(x) = -12r + 75x* – 80x . f(x) = x² - 2 In x %3D

A:

Q: 7) L{as° +! 4s 2 ( 4s² 2s – 6 8) L* 2 s* +9 1 9) L¯ 2 s´+3s

A:

Q: Using Reciprocal Substitution * dx For S x*(81+x+)% |(81t* + 1)(r³de) Option 1 Option 2 Option 3 NON...

A: Solution:-

Q: Find all the roots of f (z) = 226 + 81/3 – j81

A: The roots are  81e-jπ36, 81ej11π36,  81ej23π36, 81ej35π36, 81ej47π36, 81ej59π36  

Q: Solve the initial value problem: dy x(1+ y)²; y(0) = –3 dx

A:

Q: (2) y ty= tanx (0)=2 (0) = |0

A:

Q: A snail is at the bottom of 10-meter well. Each day it crawls up 3 meters, but at night, it slips do...

A: The snail crawls up 3 meters at day, but slips down 2 meters at night. So gradually, everyday it is ...

Q: 3. A particle of charge q = moves in velocity i = (2 + m)i – (5 + m)j – 4k in magnetic field B = (7 ...

A:

Q: Three siblings Seo-jun, Tae-hyung and Hyung-sik started with different amounts of money. Seo-jun gav...

A: Tabulate the data that depicts this scenario. Use the table to formulate a system of equations. Use ...

Q: H.W: Evaluate the integral 1 1 2 y? || x²e*ydxdy || dxdy 1. 2. 0 y 1 у

A: The double integartion is of the form ∫R∫f(x,y)dxdy, ∫R∫f(x,y)dydx,  On changing the order of the in...