B. Find the value of x and y given that; - 5 S = 2 x 3 1 6 (a) R = 3R + S = 4 2 y -1 8 1.

Q: Water is dripping into a hemispherical bowl with a radius of 8 cm at a rate of 1 cubic cm per…

A:

Q: If dįd2dzdądzded7ds is 1 4 0 5 7 3 2 3, let n = 100 + dzds and a = dzdg. n 3D Find d e Z, such that…

A: The solution follows from the Generalized Euclidean Algorithm for finding GCD.

Q: minimize [f1(x) = 5x1 – x2, f2(x) = x1+ 4.x2| subject to -51 + 2.x2 3 X1 + 2x2 > 4 X1, X2 > 0 Draw…

A:

Q: yz do where o is the part Calculate the surface integral of the plane z = y + 3 that belongs to the…

A:

Q: Evaluate the surface integral f F. dS where F = (-2x, –5z, 5y) and S is the part of the sphere x2 +…

A:

Q: Find the value of X and Y in given that; 1 - 2y 4 7 2 2 - 2x 4 - 5 I3D 3. 2.

A:

Q: Let X be the graph of f(x) given below that is, X is the subset of R x R satisfying the given…

A: Sol

Q: Suppose that the function f is defined on the interval -2, 2) as follows. -2 if-25x<-1 -1 if -1Sx<0…

A: Function value at a given point

Q: Draw these graphs. a)       K1,4 b)       W4

A:

Q: A cylindrical tank of radius 20 ft and height 3 ft is two-thirds filled with water. Find the work…

A: The given radius r of the cylindrical tank is 20 ft and its height H is 3 ft. Water fills two-thirds…

Q: thi.2 Evatuate the foltawingcartesian integrats by changing them inte equivalent Pelar integrals: 2.…

A:

Q: . Use the surface integral in Stokes' Theorem to calculate the circulation of the field F around the…

A:

Q: ly manufactur nk for the exp- greed that she

A:

Q: (iüi) (iii) dydx x/3

A:

Q: SECTION I: MATRIX OPERATIONS 2 -1 4 -0.5] -5] A = –1 1.5 0.25 1.5 C 4 B = -3 2.75 0.1 3 -7 -0.5 1…

A: 1. The given matrix is A=2-1-11.5-32.75-0.51. Find the transpose of A.…

Q: Use the cylindrical shell method to find the volume of the solid generated by revolving the shaded…

A:

Q: Use Green's Theorem to evaluate the line integral (y – x) dx + (2x – y) dy for the given path. C:…

A: The graph is drawn using DESMOS graphing calculator.

Q: Use the Solovay-Strassen test to show that 7739 is composite.

A:

Q: A curve has an equation of 9x2 + 25y2 = 225. Compute the second eccentricity of the curve. %3D 1.33…

A:

Q: 2) Water is pouring into an inverted cone at the rate of 8 cubic me- ters per minute. If the height…

A: Given that Height of cone h=12 m radius of its base r=6 m rate of pouring water into cone dVdt=8 m3

Q: 3. Use Secant Method to determine the root of f(x) = Sin (Vx) - x where x > 0. Use up %3D to 8…

A:

Q: Find a root of f(x) = 6 Sin (x)e- x + 1 using Newton Raphson Method accurate to 5 decimal places.

A:

Q: The solution of the differential equation dy dy 3 dx + 2y = e3* is given by dæ?

A: Given differential equation is d2ydx2 - 3dydx + 2y = e3x

Q: a. Use the formula for general solution to solve the following equation b. Check for your answer.…

A: The solution is given as

Q: The​ O'Connors own a small janitorial service. John requires 14 hour more time to clean the Moose…

A:

Q: If u = tan -1 x- the value of x2 +y?+xy du at x = 1 and y = 3 is

A:

Q: the exact arc length of the curvex = + 2) from y = 0toy = 5. er the exact answer.

A:

Q: cos t f(t)f" (t) If f(t) = then = f"(t) -1. 1+ sin t

A:

Q: Consider the following IVP: y"-3y'+2y = e3t; y(0) = 0, y'(0) = 0 Find the general solution. y(t) 31…

A:

Q: Please answer number 1 use 4 decimal places. Find the positive real root of f(x) = x^4- 8x^3-35x^2 +…

A:

Q: Find the following complex series. 2. Find the Mclaurin Series expansions of cos(x) + sin(x) up to…

A: Macluarin series expansion of the function

Q: 2 -1 4 -0.5] -5 A = -1 1.5 0.25 1.5 C 4 B -3 2.75 0.1 -7 -0.5 0.2 1 1.5 5 -15.2 -0.4] 7 0.6 2.7 D =…

A: Given some matrices. (1) Find the difference between matrix H and E Given matrices are…

Q: 1 ral e" dx of the function d 1.0. The abso

A:

Q: Each pair of polygons is similar. Write a similarity statement and find the scale factor. 4. B C 55…

A:

Q: Consider this argument to answer the following questions: The convict escaped either by crawling…

A: Solution: The convict escaped either by crawling through the sewage pipes or by hiding out in the…

Q: 1. Let f :i →i be a function given by f (x)=x³ –1. Prove the followings a) f([0,2]) b) ƒ*([0,2]) 2.…

A:

Q: Consider the function given by y = cos(bx) on the interval (0, 2). (a) Sketch the graph of y =…

A: Introduction: The cosine function is a significant trigonometric function. It is a periodic function…

Q: find the two-dimensional vector equation of the line r(t) = a +t*m such that - r(0) has norm 8 and…

A:

Q: Consider the following function: -1 <r <0 ) = {sin rz, 0<zs1 f(x) = (i) Sketch the graph of f, find…

A: Here, we are given the following function: f(x)=0,          -1≤x≤0sin πx,     0&lt;x≤1. For (i), We…

Q: Using the method of undetermined coefficients, find the particular solution of the following initial…

A: As per our guidelines we are supposed to answer one ques only. Here is the solution for the first…

Q: e of z cos (÷) a

A:

Q: d d Calculate r1(t) · r2(t)] and r1(t) × r2(t)] first by differentiating dt dt the product directly…

A: Derivative of vector valued fumction

Q: A is an n x n matrix. Check the true statements below: OA. Finding an eigenvector of A might be…

A:

Q: Let Scメッリ):\y\<\,Ms I = be the square with Siles of lenglh 2. Let In be the Square pimed at (0,0)…

A: Given,I=x,y:x≤1,y≤1: SquareLength of square=2In is rotated at an angle 2πnθTo find: limn→∞sup (In)…

Q: Solve for the volume of the solid generated by rotating the plane bounded by the equations below…

A: Given: Let's consider the given, y=12πe-x22y=0x=0x=1

Q: Part: b:Let W be the set of all vectors of the form shown below in parts į and ii. In each part,…

A: A non empty subset W of a vector space V is said to be a subspace of V is:1. for all u, v ∈W we…

Q: Solve for the volume of the solid generated by rotating the plane bounded by the equations below…

A:

Q: Q1/ Graph the following functions (choose 2 only) 1) y = 4 sin x 2) y = cot x 3) y = csc x

A: (1) Calculate a table of points for y=4sinx taking the values of x as 0, π2, π, 3π2, 2π. x y 0…

Q: eigenvalues of matri: 9 7 k2 is 29, ther

A:

Q: 2)1 I Solve the boundary-value problem y" + 9y = 0, y(0) = -3 and y(/2) = 3.

A: Given differential equation is y'' + 9y = 0,   y(0) = -3  and  y(π/2) = 3