Find y as a function of t if 5184y" – 1584y + 121y = 0, - y(0) = 6, y'(0) = 3. y =

Q: Find the area of the region bounded (refer to picture) the x -axis and the line x = 13  using  Simp...

A: Simpson rule for integral  ∫ab​f(x)dx =∆x3  (f(x0 )+4f(x1)+2f(x2 )+4f(x3)+2f(x4 )+.......+2f(xn-2 )+...

Q: The graph shows a region of feasible solutions. Use this region to find maximum and minimum values o...

A: As linear programming function gives extreme values on corner points

Q: d n=0

A:

Q: QUESTION7 Let g be a fixed element of a group G.Prove that H = {x EG: gx = xg } is a subgroup of G.

A:

Q: 8) What is angle x? 32° B

A: Introduction: If the vertex of the angle is inside the circle, then half the sum of the measures of ...

Q: Find the LCM:24x and 8x"-16x

A:

Q: 2. f(x)= 2x³ – 7

A: Given function is f:ℝ→ℝ such that fx = 2x3 - 7

Q: The monthly rent for the first house is $1, 190, and the Bainters can expect it to increase 1.7% eve...

A:

Q: Solve the following  inverse trigonometric and hyperbolic complex numbers in their rectangular form....

A: Given inverse hyperbolic function is csch-1(-2.0807+4.5465i) We know the formula csch-1z=ln1z+1z2+1 ...

Q: Farrah borrows $18,000 to purchase a new car. The annual interest rate for the 60-month loan is 4.3%...

A:

Q: n(n+1) 1. pdRecall the triangle numbers, 1, 3, 6, 10...where the nth triangle number tn Show that if...

A:

Q: m. ; D2=58.2

A: Given as. VE=4096.25 m3,C1 =5m,C2 =7m,D1 =44.5 m,D2 =58.25 m,L=20 m.

Q: Sketch a contour map with at least four level curves for the following surfaces: a. z = 9x? + y? b. ...

A:

Q: Obtain the general solution of the differential equation (x2 + у?) dx + (x2- ху) dy 3D0 A (x + y) = ...

A:

Q: Solve the D.E. 3(3x2 + y?) dx - 2xy dy = 0 A x = c(x2 + 3y²) B x = c(9x² + y²) c) x = c(x² + 9y²) D ...

A:

Q: In the field of numerical methods, a hybrid numerical method is reported to outperform the standard ...

A:

Q: Let f(u, v) be a differentiable function with f(0, 2) = 0, fu (0, 2) = 2 and f. (0, 2) = -3, g(z, y)...

A: Given fu,v is a differentiable function with f0,2=0, fu0,2=2 and fv0,2=−3. And given gx,y=fx2y+x,3x−...

Q: Draw a direction field for the differential equation y' = -y(1 – y). Based on the direction field, d...

A: We have ,                                                                           y' = - y (1 - y)...

Q: How many 3-letter codewords can be formed if: At least one of the letters is to be chosen from the ...

A:

Q: ys a > b

A: Given that center of ellipse is (0, 0) major axis is 16, semi-minor axis is b , a=8, a > b direct...

Q: Use the assumed Babylonian square root algorithm of the text to approximate 21. Begin with the value...

A: We use basic knowledge of numerical analysis, in particular, the Babylonian square root method to an...

Q: The first definition of the logarithm was constructed by Napier and popularized through his posthumo...

A: We will use basic knowledge of analysis and set theory to answer this question using Binomial theore...

Q: Find y as a function of t if 16y" – 72y' + 72y= 0, and y(4) = 9, y' (4) = 8. y =

A:

Q: You run a volunteer organization to help clean up local parks. You have 108 volunteers to assign to ...

A:

Q: Simplify the expression. State what value(s) of the variable must be excluded from the answer.

A:

Q: 1. Determine the Fourier series of the following 17 (1|5) fle) = lo d>5) a. 15 (-7sts7) o otherwise ...

A:

Q: Find Newton’s polynomial that interpolates f(x) = 1 x at x = 1, x = 2, x = 4, and x = 5. Use the tab...

A: Given  fx=1x and x1=1, x2=2, x3=4, x4=5  

Q: Given the ordinary differential equation d'y dx² + dy -6y =0 with yco) =0 and dy (6) =1 , the value ...

A: Let us consider the homogenous differential equation y''+py'+qy=0 then the solution of the different...

Q: What must be true of the discriminant a

A: Given, the general second-degree equation is                                        Ax2+Bxy+Cy2+Dx+E...

Q: 2x- 7x + 31x – 45x + 46 2x – 7x + 11x – 10

A: Given integration is ∫2x2-7x3+31x2-45x+462x3-7x2+11x-10dx We can simplify as 2x4-7x3+31x2-45x+462x3-...

Q: 3x3 + y3 (x, y) # (0,0) Let f(x) = 1, (r, y) = (0,0) Is ƒ continuous at (0,0)? Give mathematical rea...

A:

Q: Find the value or values of x for which the curve of the following functions has a point of inflecti...

A:

Q: Given the vectors a=i + j + k,  b= i-j and c=i + 2j + k, determine the volume of tetrahedron

A: Given- Given the vectors a = i + j + k, b = i - j, and c = i + 2j + k.  To find- Determine the volum...

Q: In the figure, QN¯¯¯¯¯¯¯¯ is the perpendicular bisector of LM¯¯¯¯¯¯¯¯¯.Which of the following can be...

A: Introduction: Congruency is a very significant property of a triangle. Two triangles are referred to...

Q: 4. Vector A S has a magnitude of 35.0 units and points in the direction 325° counterclockwise from t...

A:

Q: Direction: solve and analyze each of the following problem in neat and orderly manner. Do this in yo...

A: Here we use the technique of Auxillary equation .

Q: メパーフメーCO x²-25 コメー 60

A:

Q: The monthly rent for the first house is S1, 190, and the Bainters can expect it to increase 1.7% eve...

A:

Q: put the X-axis.

A: The surface area generated by revolving a curve f(x) over the interval [a,b] about the x-axis: Wher...

Q: Factor 42w+ 24. Write your answer as a product with a whole number greater than 1

A:

Q: 20y gny %3D

A:

Q: Obtain the general solution of the differential equation (x2 + y") dx + (x2 - xy) dy = 0 (x+y^2 = cx...

A:

Q: Considerthreemappingsα,β,γ:Z→Zdefined by α(n)=2n−1, β(n)=(n−1)^2, γ(n)=(n−1)^3

A:

Q: 2. Define two ordered bases B = and E = on R³. (i) Find the vector vị of R³ whose component vector w...

A:

Q: Solve, using the method of variation of parameters: et y" – 2y' + y = - 1+x²

A:

Q: Produce the linear and quadratic Taylor polynomials for f(x) = Vx, a = 1. Graph the %3D function and...

A: According to the Taylor series, a continuous and infinite differentiable function can be expressed a...

Q: Draw a Cayley graph for Z/7Z with generating set {2¯,5¯}.

A:

Q: the first house is $1, 190, ase 1.7% every year. The B- ly rent over time.

A: The future value as, FV=PV×1+gn

Q: ax? (x) - -k if -L< x < L

A:

Q: 7×7

A: To find- 7×7