Find the general solution of the ODE. y" +9y = 6 cot²3x

Q: The Cantilever truss in figure below is hinged at D and E. Find the force in each member. 1000 lb B.…

A: Solution :-

Q: em of Let f: G→ H be a group homomorphism. Then, Im f The kernel of f, we write Ker f, is Ker f = {g…

A:

Q: If K is a finite extension of a field F, then the group G (KF) of F K is finite and o[G (KF)] ≤…

A:

Q: Evaluate the double integral that will solve for the area of the region bounded by y = cos(x) + 5, y…

A:

Q: Example 12.5. Find the maximum value of Z= 2x + 3y subject to the constraints: x + y ≤ 30, y ≥3,0 ≤…

A:

Q: A Norman window is in the shape of a rectangle surmounted by a semi-circle.

A: We have to solve given problems:

Q: Example Test the canvergence of the following series: { In mo √n h = 4

A: We need to determine whether the given series convergent or divergent. ∑n=4∞ ln(n)n We know series…

Q: 1.Find the intervals (Isolate the roots) of the equation f(x) = = x² - x-1

A: The intermediate property is one of the most important and advanced property of a continuous…

Q: Arithmetic between 30 and 75

A:

Q: Prove that the following graph does not contain a Hamilton cycle. a b с d h g e m k

A:

Q: A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the…

A: The tank of diameter 4m is half of water Water density ρ=9800 N/m3 Radius R=D2=42=2m ∵  work =F×…

Q: 3. a) Compute: f (Rez-32) dz where I is a directed line segment from z=0 to z=i. b) Let C be the…

A:

Q: Use Simpson's Rule to evaluate the following. n = 10 3 1 dx -3 1+x²

A: Simpson's 13 rule: ∫abydx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn), where h=b-aN and N…

Q: The value of cosh(3z + 1)dz, where C is the line segment from z=1 စ် C to z = 2i. O a.…

A: Hyperbolic functions are one of the important inverse trigonometric functions. The difference…

Q: The real part of sech (2-j3) is -3.7245 -3.5906 O 0.0403 O -0.0106 -0.5309 1.0357

A: The Euler's formula is widely used formula in complex analysis. It makes a bridge between the…

Q: s+10 B:1: Solve 1. L { t²cosat) 2. L-102)

A:

Q: Z = (1 - j)¹-2j

A:

Q: 1 2 Find a basis for subspace V of R4 spanned by the vectors 3 dimension of V? 8 What is the

A:

Q: (i) Sketch the graph of y = cos x for 0° ≤ x ≤ 360°. On the same axes, sketch the graph of y = cos…

A:

Q: 3. Write the following triple integral !!! = x+y dA R in iterated form where S is the region bounded…

A: Let us consider a triple integral ∫S∫∫f(x,y,z)dxdydz To solve the triple integral  Integrate with…

Q: 4. Being careful to allow for parts of the curve being both above and below the x-axis, determine…

A:

Q: 3. Find the volume of the solid formed by revolving the region formed by the curve y = secx about…

A:

Q: (a) Find the solution set of the homogeneous linear system below. x + y + 2z = 0 - y3z + w=0…

A:

Q: b) Minimize z = (x₁ − 4)² + (x₂ −4)² : subject to x₁ + x₂ ≥ 5 -X1 2-6 -2x₂2-11 x₁ ≥ 0; x₂ ≥ 0

A: As per the policy , In multipart question we are allowed to solve first three part . So , I am…

Q: Use Simpson's Rule to evaluate the following. n = ·3 1 dx 1 + x² 2

A:

Q: properties to evaluate : 8 (In x)3 dx

A:

Q: Solve the following differential equations: 1. () + (x −2x*)y'+xx=0

A:

Q: | Example 8.12. Use the Trapezoidal rule to estimate the integral exª dx taking the number 10…

A:

Q: C: 2: Find the first 4 terms of the Maclaurin series for : In(1+x)

A:

Q: / Fit a curve of the form y = ax + bx² to the data

A: Given,    x 1 2 3 4 5 y 1.8 5.1 8.9 14.1 19.8 To find             y=ax+bx2…

Q: A tank with square base and volume 1125 cubic unit. If colouring of base and side cost $5 and top…

A:

Q: (b) Determine x(Cn, k), the number of k colourings of the cycle Cn with n vertices, for n> 3.

A: (b)  We can do this directly using the principle of inclusion-exclusion. Labelthe vertices of Cn…

Q: Find the values of x for which the gradient of the tangent to the graph of y=f(x) is equal to the…

A: We have to find the values of x for which the gradient of the tangent to the graph of y=f(x) is…

Q: Example 10.15. Apply Runge-Kutta fourth order method to find an approximate value of y when x = 0.2…

A:

Q: Evaluate the following linear system using Cramer's Rule: a. x-3y +3z=-4 2x+3y-z=15 4x-3y-z=19

A: The given system of linear equations…

Q: 2) Two friends are offered similar jobs at partner companies in Atlanta. One friend, a woman, is…

A:

Q: dy Example 10.24. If dx mula by calculating y(1), y(2) and y(3) using Euler's modified formula. = 2e…

A:

Q: x√1+x² dx

A: Follow the python script.

Q: Consider the equation du 2y = 0, y(0) = a. Let I=(-1, 1). Which statement below is NOT t - (A) When…

A: We have to solve given problems:

Q: Find the value of following the integral: ☎ COS²T -π1+a* S². dx,a>0

A:

Q: Particle motion At time t, the position of a body moving along the s-axis is s = t³ - 6t² +9t m. (a)…

A:

Q: Example 10.3. Solve y'= x + y, y(0) = 1 by Taylor's series method. Hence find the values of y at x =…

A:

Q: find The linear transformation T: C² C²³² 1+i which matrix i -i M₁ = -2 1 −1+2i with regard to The…

A:

Q: Evaluate the Cauchy principal value of 2 x 50% -dx 8 x 2 (x² + 1)²

A: We have to find Cauchy Principal Value of the given integral.

Q: Example 8.10. Evaluate Sº (ii) Simpson's 1/3 rule, (iii) Simpson's 3/8 rule, dx Jo. 1 + x² by using…

A:

Q: The simultaneous linear equations mx + 7y= 12 and 7x+my = m have a unique solution only for A. m = 7…

A:

Q: [x√1 + x² dx Find the integration in the Simpsons method when n=3 Then compare the integral with the…

A:

Q: ds dt dQt dt dP dt = μ-μP-BPS, :-(µ + y) S + BPS + αSQ₁ = = −µQ₁ - αSQ₂ + y(1-0) S.

A: As per the question we are given a population model in terms of dynamic system. And we have to find…

Q: A = {0,2,4,6}  B = {{0},{2}, {4},{6}} C = A ∪ Ø   D= A ∪ {Ø} E= { n € ℕ | n2 € ℕ } F= { n2 € ℕ | n €…

A:

Q: If K is a field and if 1, 2 are distinct automorphisms of K, ther it is impossible to find elements…

A: This is a problem of Abstract Alhebra.