Evaluate sin z dA, where A is the same triangle as in the problem above.

Q: Verify Green's Theorem by evaluating both integrals dk + x° dy = /. / dA ду for the given path. C:…

A:

Q: The length in meters of the four sides of a building are 3x, 6x - 5, 9x, and 4x + 1. (a) Calculate…

A: (a). Add 3x, 6x-5, 9x and 4x+1 to calculate the total length around the building.…

Q: 3. The position of an object that is moving along a straight line at t seconds is given by s(t) :…

A: This is a problem of dynamics.

Q: Find the angle a, in radians, between the vectors -5 and 3

A: Use the formula of angle between the vectors to solve the question.

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: dx Evaluate the improper integral x(lnin x )²

A:

Q: Find the Laplace transform of f (t) = 6e-t +e + 5t -9

A:

Q: 1. Find the DIFFERENCE between Matrices H and E. That is: [H] – [E]. Name it, "Matrix I". 2. AUGMENT…

A: (a) find the difference between matrices H and E given…

Q: If the sum of eigenvalues of matrix 9. 7 16 A -9 k2 3 is 29, then the possible - 16 9 values of k…

A: We want to find the value of k

Q: Javier has $15 to spend on action figures. If each figure costs $2, what is the *greatest number of…

A: Given,  Javier has  $15 spend on action figures Each figure costs  is = $2

Q: Q1/ A waveform f(t), is defined by f(t) = 45 0sts1.5 period =2.5 1.5 <t< 2.5 1) Sketch f (t) on the…

A:

Q: b) Z = Arctan ( x² /y³)

A:

Q: Consider the quadratic function f: R3 →R defined by f(X) = xỉ – x1x2 + x – x2x3 + x3 + 1 A: Express…

A:

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

A:

Q: Find the volume of the pyramid with base in the plane z = -9 and sides formed by the three planes y…

A:

Q: 2. The slope of the surface z = ry in the r-direction at the point (2,3) is slope of this surface in…

A: We have to find the slope of the surface in the x and y direction at (2, 3).

Q: 4. I, Let L: V W be a linear transformation from the vector space V to the vector space W such that…

A:

Q: 25.2 Solve the following problem over the interval from x 0 to 1 using a step size of 0.25 where…

A: Part (a) Analytically

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

A:

Q: Q3. Solve the following LP problem using the simplex method: Maximize: Z- 2x + y Subject to: 2x +…

A:

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: I-y 1. Let f(r, y) Find: Ity+1 (a) f(2, 1) (b) f(1,2) (c) f(a, a) (d) f(y+ 1, y)

A: Use the given function.

Q: S = 5 and s7+1 14s, +1 for n21. %3D %3D

A:

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

A: Sol

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

A:

Q: Evaluate the following integrals using Cauchy Residue Theory. All closed contours are traversed CCw.…

A:

Q: Find L{f(t)} by first using a trigonometric identity. (Write your answer as a function of s.) f(t) =…

A:

Q: Find T(t) and N(t) at the given point. r(t) = (t – 6)i + tj; t = 6 T(6) N(6) =

A:

Q: x3 – 2x2 – 5 = 0, [1,4]

A: With the help of bisection method we find the root of the equation.  In this method we find a…

Q: 4. The equation f (t) = models the bacterial count, in thousands, for a sample collected from pond…

A: solve when f(t)&gt; g(t)

Q: Aayush and Abbey have the following system of differential equations da dt -5 x + 12 y dy = -2 x + 5…

A:

Q: -3 = 10 and i =

A:

Q: QUESTION THREE (a) Find x and y given that GOG) = G) %3D (b) Determine x, y and z if (3,–1,2) =…

A:

Q: Find exactly T(t) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

A: This is a problem of Differential Geometry.

Q: Calculate the volume of a solid bounded by surfaces: z = x? +y? z= 4(x²+y²) y= x? y=x

A:

Q: )4 in the Taylor -g x - log x2 abor

A:

Q: II. Solve each equation by completing the square: 4. x2 + 12x – 2 = 0 5. x(x – 1) = 30 6. 2y? + 7y –…

A: Solving Quadratic Equations usingCompleting the Square we follow the step given below : 1. Divide…

Q: Suppose that (Sn) and (t„) are convergent sequences with lim s, = s and lim t, = t. Then b) lim…

A:

Q: uestion: The half-life of a certain substance is 5.9 days. How many days ill it take for 30 gm of…

A:

Q: The vat shown in the accompanying figure contains water to a depth of xo = 1.9 m. Find the work…

A: 1st we will find work done to empty a horizontal slice of water , Then integrate it to find total…

Q: 3. Solve the initial value problem y" – 3y' + 2y = 10 sin x with y(0) = 1, y'(0) = -6 by using both…

A: The given initial value problem is                                          y''-3y'+2y=10sinx,…

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: f(x) = - and g(x) = find (f o g)(3) and (g o f)(3) %3D x+1 X-

A:

Q: Find the Laplace Transform of (t2 +4t + 2)e3t 4 2 4 (A) (s - 3)3 (s - 3)2 3 2 4 2 (B (s - 3) 3 (s –…

A:

Q: Consider the ceiling function [z] = min{z € Z]z >1}. This basically rounds up any real number. For…

A: To show that the limit doesnt exist the key idea is to show that the Left Hand side limit doesn't…

Q: Q Final the complement f the gwaphs in fig-1-34 figti3t

A: We have to find the complement of given graph.

Q: 6. f(t) = 5cosh(3t)-sinh(4t) %3D

A: 1) L{af(t)±bg(t)}=aL{f(t)±bL{g(t)}2) L{cosh(at)}=ss2-a23)L{sinh(at)}=as2-a2

Q: Let X = R? – (0,0) and - be defined over X by setting X~y + y = tx for some non-zero t e R. (b)…

A: Sol

Q: 24. The following data resulted from a stress-strain experiment where a given strain was applied and…

A: Sol

Q: (x)= e°2× (x-1) us

A: Here The second method gives the correct result for an initial guess of less than one.