Using Sandwich Theorem, the sequence 2 = 4 – - Cos2 n +1 n³ converges to 4 converges to 2 diverges converges to 0

Q: Determine the general expression for the four roots of V3 – j . O V2cjs (- + 글세), k=D 0, 1, 2,3 O…

A:

Q: II. Consider the function g defined by 1 g(x, y) = cos (TI/) + log3 (r – y) Do as indicated. 1.…

A: The maximum rate if change of g occurs along gradient of g.

Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

A:

Q: . (1 + j3)z² + (5 + j6)z +7 – j6 = 0

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: íf was T'fz (R)→R Linearidentifier grand father ♡ Kert ☺ Im T

A: Here given that a linear identifier T :ℙ2ℝ→ℝ3 defined by Ta+bx+cx2=a, b, a+b. We have to find Ker T…

Q: The equation p =- in spherical coordinates 5 represents sphere.

A: This is a problem of spherical coordinate system, vector calculus.

Q: Given the solid E that lies between the cone z² = x2 + y2 and the sphere x²+y2 + (z – 8)2 = 32. a) !…

A:

Q: IF R= 5B-2C find the value of the following 10 13 r21 16 12 #14 #17 #11 r22 #12 15 23 18 r33

A:

Q: 505. Two tangent lines at the endpoints of a given arc containing 120° are drawn, and a circle is…

A: Solution :-

Q: Question 2: Apply the modified Euler method (Runge-Kutta of order 2) with h = 0.1 to determine an…

A:

Q: [B] Use Newton-Raphson Method to perform thirteen iterations to the equation f(w) = w* + 4w² – 10 =…

A: This is the problem of Numerical analysis.

Q: Find cos 0, where 0 is the angle between two vectors a = 2i – 3j + 2k, b = -2i + 2j+6k

A:

Q: 11. Solve the second-order differential equation y" – y' – 2y = 20 cos x using the method of…

A: To solve the second order differential equation by using the method of undetermined coefficients.

Q: x = 0 x # 0 Let g(x) = {sin Find all values of h for which h satisfy the following conditions on I =…

A: We will use the basic knowledge of set theory and functions to answer this question completely and…

Q: 6. Find the rank correlation for the following data: 56 42 72 36 63 47 55 49 38 42 68 60 y 147 125…

A:

Q: Show that the function f defined by (r, y) = (1, –1) (r, y) # (1, –1) f(r, y) = 1² + y is not…

A:

Q: For the differential equation (x? – 9)y" + (x- 3)y' + 2y = 0, a regular singular %3D point is: x-9…

A:

Q: az az and dy IV. Suppose z is a function of r and y, and tan y² + x² Solve for

A: Given    tanx2+y2  =zxe6y

Q: Solve the following differential equation : d?y + 2 cos x· 2 sin x dx2 dy +2 sin x dx dy + 2y cos x…

A:

Q: Using the method of undetermined coefficients, the form of y, of the differential equation: y4) -…

A:

Q: Which óf thé fóllówing directión fiéld will represent the differential equation y' = y + 1 Option 1…

A: Direction field: A graphical representation of solutions of a first order differential equation is…

Q: lcose sin el sin e -cos 0 sin el cos cos 0 Find the inverse of [sin 0 cos 01 а. sin 0 -cos c. cos 0…

A:

Q: 5. lodine-131 is a radioactive isotope of iodine that is used in a sodium salt to diagnose thyroid…

A: 5. Concept: Here we shall use the formula: N=N00.5t/h Here N is the remaining substance, N0 is the…

Q: 3) Using the Power method, obtain the largest eigenvalue and the corresponding eigenvector for the…

A: Given  2-1-14x1x2-λx1x2=00 We will obtain the largest eigenvalue and corresponding eigenvector for…

Q: We consider the linear transformation T1 : R3 R 3 T1(x,y,z) = ( x +2y –z , x –y +2z , x + 3z) We…

A:

Q: Determine the value of k such that the system of linear equation has infinite number of solution. 4x…

A:

Q: I. Show that the function ƒ defined by (1, y) = (1, –1) f(1, v) = { +g (z, y) # (1, –1) + y is not…

A: We will use the sequential characterization of continuity to solve this problem. The detailed…

Q: Evaluate: x2dz using trapezoidal method with n = 10. Round off to 6 decimal places.

A: To evaluate using the trapezoidal rule with n=10.

Q: 15. Which of the following is an even function of t? t-sin(t) t'cos(t) sin(t) +t t'sin(t)

A: The function is said to be even if f(-t)=f(t) The function is said to be odd if f(-t)=-f(t) Note:…

Q: A stone is dropped from the top of a tower. it reached the ground in 2 s. what is the height of the…

A:

Q: test the convergehce and divergene ni+2"

A: Convergence or divergence of the series

Q: (i) Determine P after 5 years if r = 0.07.

A:

Q: C.CE diff. eqs. 8. x³y" +x² y" – 2x y' + 2 y = x³sinx

A:

Q: 4 -7 6 5. Find the inverse of -2 4 5 7 -4

A:

Q: Determine whether the following relation is an equivalence relation or not. (a) G = {(x, y) |æ…

A: We have to determine whether the given relation is equivalence relation or not.

Q: 1 example problem about Area Region Bounded by Different curves. Write the problems and the complete…

A: consider the curves  fx=x2 , gx=8-x2

Q: Differentiate Зх — 6 - y = csc 5x2 + 9

A:

Q: (5a?y? - xy? + 17y2) dæ (a³y + 2a?y + 9xy + 18y) dy = 0 Solve -

A:

Q: 1. A periodic function f(t) is given by a function where f(t)=. 3t for 0<t<3 For the given function…

A:

Q: Measure of minor arc SH= _____?

A: This is a problem related to circle. Let us find the measure of the minor arc SH in the next steps.

Q: 4. Construct all degree sequences for graphs with four vertices and no isolated vertex.

A: Construct all possible degree sequences with four vertices and no isolated vertex

Q: in fourier series b, =f(x) cos NTX cos dx L L True O False О

A: We Know that,  A Fourier series is an expansion of a periodic function f(x) in terms of an infinite…

Q: 9. If a, =1.57, a, -(-1) -11. b, --)" f(t) and period f(t) =f(t+4) up to n=2 is then the Fourier…

A: Fourier series of the function

Q: 1. Consider the circle in the ry-plane given by the parametrization x = 2 cos t, y = 1 +2 sin t, 0…

A:

Q: Find the matrix A. 13

A:

Q: 1. Find a graph with 12 edges having six vertices of degree three and the remaining vertices of…

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: Find the equation of the plane passing through three points A (-1, 2, 1), B (1,0, -2) , C(1, –1,1)

A:

Q: 8. Solve the system of equations (solve for x and y algebraically). Use another sheet of paper if…

A: 8)

Q: Consider the DE " – xy 15y 2x – 4 | | A) Verify that yı = x and y2 = x satisfy the DE: xy" – xy -…

A: Variation parameter method

Q: Use Stokes' Theorem to evaluate F. dr. F(x, y, z) = 8(x – y)i+8(y – 2)j+8(z – x)k where C is the…

A: The given vector function is F(x,y,z)=8(x-y)i+8(y-z)j+8(z-x)k. To Evaluate: ∮CF·dr using Stoke's…