Determine the particular solution of the ODE y”’ - 8y” + y’ + 42y = 2e^3x + 1 a. (-xe^3x / 10 - 1/42) b. (-xe^3x / 10 + 1/8) c. (-xe^3x / 5 + 1/8) d. (-xe^3x / 5 - 1/42)

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: If p(x) = 3x - 4 and r(x) = 2x-5x+ 1, find each value. 11. р(8а) 12. r(a*) 13.-5(2а) 14. r(x + 2)…

A: If p(x) = 3x ^ 2 - 4 and r(x) = 2x ^ 2 - 5x + 1 find value p(8a)

Q: Suppose that y^-1= 7x ^-2/6z^-1 Which equivalent to y? A. 6x^2/7z B. 7x^2/6z C. 7z/6x^2 D. 6z/7x^2

A: I have given the answer in the next step. Hope you understand that

Q: Exercise 17. Coтрute [(4:1- 5а")dr (17A) 2826 – 15x² (17B) 4г* — 524 +C (17C) 4* – ja* + c (17D) -r*…

A: Integration Question

Q: If p(x) = 3x ^ 2 - 4 and r(x) = 2x ^ 2 - 5x + 1 find value - 5r * (2a)

A: Given p(x)=3x2-4r(x)=2x2-5x+115 -5r(2a=?to het r(2a) substitute x=2a in r(x)

Q: Write two rational expressions whose product is x + 5 x – 2' X+ -4, x # 1, x # 2.

A: These functions are just simple observations of definition of rational functions

Q: If I have 0=24x-5.19x^2, then I simplify it to 0=x(24-5.19x). How do I proceed to find x from here?

A: The given function is Here, either

Q: y is initialized with 90 and multiplied by a factor of 4 each time x increases by 1 1. y = 90 + 4x.…

A: here option (4) is true

Q: Which of the constants in the equation f(x) = a * x ^ 2 + bx + c can be interpreted geometrically?

A: If x=0 then  f(x)=ax2+bx+cf(0)=a(0)2+b(0)+cf(0)=c This means the point is (0,c). This means the…

Q: 1. Plot 1/(x^2-1), x/(x^2-1), x^2/(x^2-1), x^3/(x^2-1) when x = -2 to x=2.  2. What are the…

A: We have to plot graph of Gven Functions,1x2-1, xx2-1, x2x2-1, and x3x2-1.,From x = -2 to x=2.

Q: Which polynomial function has a y-intercepts at X = -2, - 1, and 1? O A a(x) = 2x3-3x2- 3x + 2 b(x)…

A: putting the values of x = 1,-1 and -2  f(x) should be 0.

Q: 17x^(2)+7y^(2)=119. Find the length of a, b, c.

A:

Q: Find the solution of HLDECC: (4D^5-23D^3-33D^2-17D-3)y=0 the answer should be y=e^(-x)…

A: Given that the differential equation (4D5-23D3-33D2-17D-3)y=0. Find the solution of the given…

Q: The hang time of a football field that is kicked on the opening kickoff is given by s=-16t^2+88t+1…

A: it is asking the time when the ball hits the ground, which means s= 0.   , and solve for t

Q: What value is a discontinuity of O x=-1 Ox= -4 Ox= -3 Ox=-2 x² + 8x +4 x²-x-6 ? (5 points)

A:

Q: b) p(x) = x* – x³ – 6x² %3D y-axis 4+ 3+ 1-- X-axas 1 3. 4. -1 -1 -2 -2 -3 -4.

A: We have to draw the graph of px=x4-x3-6x2 Factorizing the curve:…

Q: Solve for x (х+3)^2 О х^2 + 3x + 2 О 2х^2 + 3x + 2 О х^2 + 6х + 2 О х^2 + 6х + 9

A:

Q: When x = 2 , y = 4 , and z = 3 , what is the value of 2x^3 - 3y^2 + 6z

A: SOLUTION-

Q: Find all roots x^3-4x^2+x+26=0 A. x=-2 & the two other roots are imaginary B. x=-1 & the two…

A: Explanation of the answer is as follows

Q: 4/3 -1/6 -1/4 y 7/6 -2/3 1/3x y

A:

Q: Compute the arc length function L = | ||r(u)||du for r(t) = (16t/2, In(t), 32t), and a = 1. %3D la L…

A:

Q: Solve for x and check x/x+2 + 2/x-2 =x+6/x^(2)-4

A: Given information:The given equation is .

Q: Differentiate. h(w) (w5+ 8w^) (w-4-w-6)

A:

Q: Solve for the particular solution of the given IVP: Q y^(-3) = 9/5x^(-1) - (49/5)x^(-6) Oy^(-3) =…

A:

Q: Find the coefficent of x^6 in the following: (1 + 2x + 4x^2 + 8x^3 + ...)(3x^2 + 3x^4 + 3x^6 +…

A:

Q: Solve the following equations  6x2 + 7x - 3 = 0

A:

Q: Given f(x) = 4x^2-3 and g(x) = 6 - 1/2x^2a. (f of g)(4)b. (g of f)(2)c. (f of f)(1)d. (g of g)(0)

A: Composite function:A composite function is a function that depends on another function. This…

Q: Solve the following equation (D^5 + 4D^4 + 2D^3 – 4D^2 + 8D + 16)y = 312e^(–2x) + 100e^(xsinx)

A: We have to solve the following equation: D5+4D4+2D3-4D2+8D+16y=312e2x+100exsinx

Q: Find the quotient and the remainder when  2x^4+3x^3+x+1 is divided by 3x^2+1 in Z5[x].

A: We have to find the quotient and remainder when 2x4+3x3+x+1 is divided by 3x2+1 in ℤ5x