4.) Verify the Divergence Theorem where F(x, y, z)=(x',xz,3z) given by x' + y +z² <4. and E is the solid sphere

Q: Mart the correct alternatives of the following: 1. If f(x)= a log |x + bx“ + x has its extremum…

A: Given function fx=alogx+bx2+x Function has extremum values at x=-1 and x=2 Differentiate fx with…

Q: 4. Find the isolates singularities of the following functions, and determine whether they are…

A: Solution:-

Q: Which of the following linear DE's can the method of undetermined coefficients be applied to find a…

A:

Q: Hiwsslove du 4 %3D dt dx² 8. u(0,t) =0 u (8,t) = U(x,a) =0 = 4X- (5)X

A: Given PDE is ∂u∂t=4∂2u∂x2               (1) Let the solution be, using variable separable method…

Q: Putting •7/2 •7/2 In = cos2"0 de and Jn = 0? cos2"e de for any non-negative integer n, show the…

A:

Q: Use only the Stokes’ theorem to evaluate  integralC(−z − y)dx + (x − z)dy + (x − y)dz where C is the…

A: Solution: given  F=-z-y,x-z,x-yand C is the intersection of ; z=x2+y2 and z=y First, we solve the…

Q: If any point D is taken on the base BC of an isosceles triangle ABC and DEF is drawn perpendicular…

A:

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

A:

Q: e) a unit vector perpendicular to both i and i f) the volume of the parallelepiped formed by vectors…

A:

Q: Compute central difference approximations for the first derivative of the function, y = cos(sin(x)+…

A:

Q: At the local hospital there is 1 nurse for every 10 beds and 2 nurse assistants for each nurse. How…

A: Given that,At the local hospital there is 1 nurse for every 10 beds and 2 nurse assistants for each…

Q: (a) An n x n matrix B is a square root of a matrix A if B² = A. Show that the 2 x 2 identity matrix…

A: Let A=acbd be a 2×2 matrix where A2=IA2=…

Q: Ohm's law states that the voltage drop Vacross an ideal resistor is linearly proportional to the…

A: Given,A curvilinear relationship between i and V in the form of data.We need to fit a curve to the…

Q: تعلهلتملوكملتهلعللموا محلموكيلوفحلللات )هه )x^(5-x = )ه ,Q7x

A:

Q: Prove the statements: Let n be an odd positive integer. Then the sum of n consecutive integers is…

A:

Q: What is the sketch the phrase "three collinear points and a fourth point not on the line of the…

A: Introduction: Dual of any phrase can be find by replacing the conjunction connective with…

Q: Consider the following two systems. (a) -5х — у 1 4x + 5y -1 (b) (-5x – y 3 4x + 5y -2 (i) Find the…

A:

Q: :Prove that function f(x, y) =: is a convex function. For this purpose, compute the Hessian matrix…

A:

Q: Radius of curvature at any point on the curve x = a (0 + sin 0), y= a (1 – cos 0) is (а) 2а сos (b)…

A:

Q: Mart the correct alternatives of the following: 1. If f(x)= a log |x+ bx“ + x has its extremum…

A:

Q: The Venn diagram shows sets A, B, C, and the universal set U. Shade (Cn A)' U B on the Venn diagram.

A: Given that the Venn diagram shows sets A, B, C and the universal set U.

Q: Use mathematical induction to show that E"-, ar ark-1 a(1-r") for all integers n 2 1-r 1. (Assume r…

A:

Q: An air traffic controller on top of a 300-foot airport tower looks up and sees a balloon. The angle…

A:

Q: The value of the triple integral (x² + y )dV where E is the E portion of x + y + z? = 4 with 0 < y,…

A: Solution:-

Q: tiu sing the optimizaton pro61 Pproach, find tue Point on the line V= 2X-1 thut is loset to Point…

A:

Q: The speed of a particular vehicle (in mph) when the driver slams on the brakes and skids to a stop…

A: The vertical shift in the graph of y=f(x) is represented by the transformation function: y=f(x)±n.…

Q: If 1 <p< o then P is separable.

A:

Q: Hiws slove du dt 4 dx2 K= 8. h=1 u(o,t) =0 u (8,+)=c U(x, a) =0 = 4 X- (5)X |

A:

Q: 21. If a function f: D→R is differentiable at a DED then f has partial derivatives fm and fu at (a,…

A:

Q: Which of the following is a nonhomogeneous linear differential equation with constant coefficients?

A:

Q: ) Find the maximum eigen value for the system 4 = 54 with initial vector

A:

Q: In order to eulerize the graph below, give the fewest number of edges that need to be duplicated. a…

A: Here we first lable the graph to better understand. Next we use the process of eulerization of the…

Q: Compute backward difference approximations for the first derivative of the function, y =[ e'nxP, at…

A: We have to compute backward difference approximations for the first derivative of the function,…

Q: Prove the statements: Use mathematical induction to show that E, ar*-1 a(1-r") for all integers n >…

A: Show that ∑k=1nark-1=a1-rn1-r for all integers n≥1, where r≠1. Prove the equation is true for n=1.…

Q: ہمملالعحممعم:لم ملنم ط علاهک إدلاعہراجم م = اهكهو

A:

Q: The value of the triple integral (x + y)dV where E is the E portion of x + y + z? 0 < y, is in the…

A:

Q: . Using the binomial series, find the power series of f (x) %3D 118

A:

Q: Write the given system in matrix form: x' = (2t)x + 3y y' = e'x + (cos(t))y

A:

Q: H Salve b Pinide diffrence methat Itx2 てメ+\ yot=t25,y4)=095

A: We can solve this using finite difference method

Q: 3 1.4.1.5I•6•!•7• I 8• I•9• I • 10• 1 •11· I •12. 1 •13• 1 • 14- 1 15. 1 % 17.118 ORDINARY…

A:

Q: a Separable Solve the initial value problem (2 + 1) - 2rco"(9) with y(0)- Find an explicit solution.…

A: We can solve this using given information

Q: 1. Let C be the curve of intersection of the paraboloid x2 + y? = z and the cylinder 4 - + (y – 1)²…

A:

Q: Prove using rules of inference.

A:

Q: [C2]=[1011001] 1- Find hamming distance for the three code words [C1]=[1011100] [C3]=[1011000].

A: As per the rule post one by one question or mention it which question solution you needed. I solve…

Q: a) Where are the horizontal and vertical asymptotes? (A – 1 marks) b) Describe what happens to the…

A: This is the application of calculus.

Q: Let f(x) = cos t dt ,x> 0. Then Ax) has (a) maxima when n = - 2, - 4,- 6, . . . . (b) minima when n…

A:

Q: Find the Laplace Transform of: f(t) = t sin(t + k) sin k(s?-1)-2s cos k O F(s) = s1+2s2+1 sin k(-s?…

A:

Q: ove the statements: e difference of the squares of any two consecutive integers is

A: Introduction: Odd numbers are defined as numbers that cannot be divided into two equal parts. Odd…

Q: If matrix multiplied by s equal to zero, then matrix C-4 D o

A:

Q: Question The graph of a function is shown below as a blue curve. Create a visualization of a…

A: [ 2 ,7 ] using 5 Rectanglas width of each Rectangle  = 7-(2)/5 = 5/5 =1 At value of x  2+1 = 3, 3+1…