Determine the end behavior of P. P(x) = 8x3 - x2 + 3x + 7 as x → 00 y as x → -0

Q: What are the P(x) and Q(x) of y' =y-xy³e2Xrespectively?

A: Given the differential equation is: Since

Q: Rewrite c(x) = (x ^ 2 + 5x + 2)/(x - 3) in the form y = q(x) + (r(x))/(b(x)) has degree less than b.

A:

Q: V2k2 - 8– x = 0 %3D Ifk>0 and x = 2 in the equation above, what is k?

A: 2k2 - 83  - x = 0 We need to calculate the value of k.

Q: ,0<x<3 If X has p.d. f. f(x) = . o.w. The probability that the quadratic cquation 4t2 + 4tX + X + 2…

A: Compare the equation 4t2+4tX+X+2=0 with the standard form of the quadratic equation ax2+bx+c=0, to…

Q: Given p(x), find p(-3) by using synthetic substitution. 1. p(x) = 8x³ + 7x² + 2x + 4 2. p(x) = x' +…

A: Synthetic division is a method used to perform the division operation on polynomials when the…

Q: If y = 5(1 - e-2x), compute y and show that y = 10 - 2y.

A: To compute y'

Q: The linearization of y = (6x- 11)2/3 at a = 2 has the form L(x): = mx +b, Find the values of m and…

A: We have to find out

Q: Let h(x) -222+z+4 %3D ,what is h' (-5)? 2+4z-1

A:

Q: Let y (x) be the solution of the IVP xy' -3y =x4, y(1)=2 Evaluate y(7).

A: We will rearrange the given differential equation and find a general solution of the given equation…

Q: -X - 2xe 73Xs =l =10. %3D Jordan elimination

A: Topic :- Matrix

Q: if y3-3ax2+x3=0 ,then prove that y2+2a2x2y-5=0

A:

Q: Q1. Verify that y= is a solution of the DE -20t y + 20y = 24 %3D

A:

Q: (a) First find the general solution of y" – 5y + 6y = 2e* (3) by using the Undetermined Coefficient…

A: Introduction: A higher-order linear non-homogeneous differential equation has two solutions. One is…

Q: Suppose that Yı x5 is a solution to x²y" – 10xy' + 30y 0. Use reduction of order to find another…

A:

Q: Let h(x) z² –3z+2 -z² –4x+4' what is h' (-5)?

A:

Q: Yp = x³ is a particular solution of y" – 3y' = -9x² + 6x %3D Select one: True False

A:

Q: а)у-x^3-5x+5 b)y= xe^X с) In(x^3

A: # we are entitled to solve 3 subparts of one question. Please resubmit the question which you wish…

Q: Use SYNTHETIC SUBSTITUTION to find P(c) for 3 P(x) = 4x + 2x2 – 4x + 6 and c = - |

A:

Q: Q2 Identify and solve xy"-2.xy'+2y=6x+4lnx assuming that

A:

Q: Find the sixth term of the G.P. 6, 2,..

A: Given first two terms of a geometric progression series,  6,2,... To find the sixth term of the…

Q: Find H. A.of g6)= 3x 5x+2x-7 ifany. Justtfy your answ 2x-3

A:

Q: Find all values of a such that y = xa is a solution of y'' − 12x−2y = 0

A:

Q: Find the second order derivation for y = e-3x².

A: d2dx2e-3x2

Q: Let y(x) be the solution of the IVP xy'-2y =x3, y (1)=2. Evaluate y(16).

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: from the first principle defferentiate h() = 5x³²x+7 2² +2+1

A:

Q: 3. Find the coefficient of xy' in (2x + 3y)°.

A: The provided information is we find the coefficient of  x2y7    in (2x+3y)9 Then, (79)*(2x)2*(3y)7…

Q: Sketch the graph of f.

A: To graph: The function fx=-2x,    x&lt;-1x2,       -1≤x&lt;1-2        x≥1. Graph: The function fx…

Q: Given the function P(n) = 4nª + 12n³ – 40n? its P-intercept is its n-intercepts are Submit Question

A:

Q: 4. Obtain the general solution (D + D - 9D - Dy = 6e - X 3x + 3xe

A:

Q: Jx-6dx is 3(x-6)% -+c 2 Ob. (x-6) +c O . (x-6)% 2 O d. 2(x-6)% -+c 3

A: I=∫x-6 dx   Let x-6=t⇒d(x-6)=dt⇒dx=dt

Q: Q3/ find the general solution of the following PDE yzx – xz, + x2 –- y? = 0

A: The given PDE can be written as  yzx-xzy=y2-x2

Q: Q4 Find x for all of : 2- y = 3 x(x-2) x+1 1- y = xvInx

A:

Q: Find the general solution of y'' - 2y' - 8y = 24(x2+1)e4x by using VARIATION OF PARAMETERS

A:

Q: 6) Find solution of the particular y"-2y'+y=x²-6x+ 2x

A: 6)Here the given differential equation is y''-2y'+y=x2-6x+2xe2exlet y=emx be the trial…

Q: -2x - 6 M N NL = x+ 15 WV = x+ 21 WN =

A:

Q: If k(x)= 2e^2x then k''(2) is equal to

A: Given  k(x)=2e2x To find  k''(2)

Q: f(x) = In (8x + 2)(3r - 6)

A:

Q: find / x(n) if XCZ) = 2 Z² (Z-1) (Z-0.5² 22 Z²

A:

Q: 1. Use the chain-rule and find x and ÿ in terms of x, i, and ä if: а) у3 4x? b) y= 10x3

A: To find y" in terms of x, x', x".

Q: 4. In x2 -4x + 4 - b2 = 0, find the value of x. %3D

A: Topic:- algebra

Q: Q6. Find general solution of the DE 4x²y" + 8ry' + y = 0

A: We need to find the general solution of the given differential equation. The general solution of the…

Q: Suppose that X is a (A = e-100, p = 3e-100)-BCP. %3D What is P(X(1)X (2)X(3) = 4)?

A: Correct answer is 4.

Q: -3 Show that y(x) = -9x7 is a solution to 4x²y" + 12xy' + 3y = 0 for x > 0. %3D

A: We will show in step 2.

Q: Find the particular solution of: ydx – 4dy = x²dy when x = 4 and y = 1 |

A:

Q: The particular solution Yp for the DE (D2-5D-6)y=-6x2-10x-4 is A Yp =x2+2x-1 Yp =x? +3x+1 Yp =x?…

A:

Q: (2) Determinek such kx - 4x+- =0 that has real and different solutions.

A:

Q: 3. Find all general solutions. 4sinxcosx V3

A: Find the general solutions of  4sinxcosx=3

Q: AB is a midsegment of AXY Z. If ZB 3p-4 and BX = 2p+20, what is the value of p? %3D %3D A Зр — 4 2p…

A: For the given Triangle XYZ  AB is the mid segment  ZB = 3p-4 BX= 2p+20 p is calculated as shown…

Q: Verify that yp = 3e2x is a particular solutions of y" − 6y′ + 5? = −9e2x .

A: Explanation is given below...

Q: Determine coefficients a and b such that p(x) = ax² + bx + 7 satisfies p(4) = -1 and p(4) = -6. a =…

A:

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.