5 6 2) Solve For x, then WS Find WS S 6x W R |12.x 00

Q: 18. Solve x?y" + xy' +y = In(x),(x > 0

A:

Q: 1. Find the value(s) of x that satisfy x? – 3.5x + 1.8 = 0.

A:

Q: 1. Given that P + 4 - x (3 – x)(4 – x) A P = 3, q= 4 B P = 4, q = -3 G p = 3, q = -4 D p =-3, q= -4…

A:

Q: 5+²+3+ 외 QJ Given am.g. f.Mx (t) = e for -8 <tex Find The Ex) and E (x)²

A: Given that a moment generating function Mxt=e5t2+3t

Q: verify the given equation. 16.∞∑n=0an(x−1)n+1=∞∑n=1an−1(x−1)n

A:

Q: µ = 3, o² = 9, P(−6 < X <12) a. Determine P(µ − ko < X < µ+ ko) ≥ 1 − 1/k²

A: The question is about Chebyshev's inequality Given : μ = 3 σ2 = 9 So, σ = 3 .... by taking square…

Q: Determine the particular solution1 1. (2-r) dr=rsin 0 de; when 0 0 and r 1

A: The given differential equation is 2-r2dr=r2sinθdθ. Rewrite the above differential equation as…

Q: 5.2 Q3: By using Trapezoidal rule find I | In xdx , where n=6.

A: The objective is to find the integration of the given function in the interval [4,5.2] by using…

Q: 3) FIND A PARTICULAR SOLUTION OF THE ODE y"+8y-20y = 2x +5 - e?X %3D

A:

Q: 10- Solve the problem: Utt-4uxx = xt, 00 u(x,0) = x, 4(x,0) = 0, u(0, t) = 0, Ux(1,t) = 1+t, t20 %3D

A: Given, utt-4uxx=xt;   0&lt;x&lt;1, t&gt;0 ⋯⋯⋯⋯1ux,0=x,   utx,0=0,   0≤x≤1,⋯⋯2u0,t=0,   ux1,t=1+t,…

Q: O Solve the eguation, Kdz x dz - gdz +ze (tya) Ans OF THS + -z) =0

A: This is linear equation so we can use Lagrange auxiliary equation to solve this problem.

Q: 1. Solve the following ODE by the method of variation parameters 4y" – y = 1. (Other methods are not…

A:

Q: 5. Find MZRPQ. 99° P 111 R MZRPQ Enter your next step here

A:

Q: If z =3+2t. y=-t,tez, are the solutions for az + by - e, a, b, c, z, y € Z, then the number of…

A: Given that x=3+2t, y=-t, t∈ℤ are the solutions for ax+by=c,    a,b,c,x,y∈ℤ.

Q: d) solve to 1l o wing equan on. the differenti al 2 dy 3y = 3 n2 + 5 %3D

A:

Q: [6.6] Find dy for the given values of x and Ax. 56) y = x3 + 2x; x= 2, Ax = 0.01

A:

Q: 4. Find all values of x satisfying In[(2x + 1)(x +2)] = 2 In(x+2). Verify the values of x you found…

A:

Q: 16. Find all solutions in the range (0 <0 < 2n): 20sin20 – 5 = 0

A:

Q: 12 17 Find p, q if s" f(x) dx + fi2 f(x) dx = " f(x) dx. (Give your answers as whole or exact…

A:

Q: If X represents a geometric variable with p = 0.7 then Pr(X>250) is equal to Select one: O (0.7)250…

A: Obtain the probability that P(X&gt;250)   The probability that P(X&gt;250) is obtained below as…

Q: If the inequality 1 - <1- sin [æ³y³[ < P ) |z*y*| for all æ and y. Then, find the lìm(z,9)→(0,0) 2…

A: We will use Squeeze theorem in the given problem.

Q: Let A={mez: m = 2a for some aeZ}, B= {mez: m = 2a for some aeZ}. Show that A=B. (need to show A≤B…

A:

Q: 42x – 20(4*)+64 = 0 [HINT: let u=4* - 4*] 3. Solve for x: 4* )+ Ans 3 x=.

A:

Q: 51. If objects of weights x and wi are suspended from the balance in Figure 14(A), the cross-beam is…

A:

Q: 8. How many integer solutions are there to the inequality Y1 + y2 + Y3+ y4 0, 0 < y2 ≤ 10, 0≤ Y3 ≤…

A:

Q: 3. Solve the following ODE by the method of variation of parameters:( y =ulyl + u2y2) 6 y"- 5 y'+…

A:

Q: Find the length of segment NL. N x-8 x- 5 4 K L. 0 4 15 O19 3.

A:

Q: Solve the triangle. Round decimal answers to the nearest tenth. 77 17 O mZF 13°, xs 7.6 ys 15.2 %3D…

A:

Q: 15 A and K are the routs Of xZ find the Cfuahon wbese routs ore. -2x +3 x+2, 6+2 Cu) 2

A: Given,          α and β are the roots of x2-2x+3=0.

Q: 2. a) Evaluate xin(x) dx using the Trapezium rule with 4 ordinates. Complete the table by…

A:

Q: 2 21. The maximum value of is 3 cosh 2r + 2 A 2 B 5

A:

Q: 2 4 Q2) Assume A = |1 3 and B = show that (AB)' = B' A' 3 4] l3 6 4

A:

Q: a²x, a?x? Po(x) = 1, p1(x) = 1 + ax, p2(x) = 1 + ax + 2! P3 (x) = 1 + ax + 2! %3D 3! a?? ax? p4 (x)…

A:

Q: 1 x? + k by considering several cases for the constant k.

A: Let k be equal to a2. k=a2a=k Use the formula ∫1a2+x2=1atan-1xa ∫1a2+x2=1atan-1xa∫1k+x2=1ktan-1xk

Q: 2. In In AXYZ, ZX = 72°, XY = 109 m and XZ = 218 m. a) Draw a labelled diagram. b) Solve AXYZ for…

A: Given that: In ∆XYZ, ∠X=72°, XY=109m and XZ=218m

Q: 9. Solve the following equation. sec x - 2 -0 A) 元 x -+ 2n and x- 2n7, where n is an integer 6 B) x…

A: Given: sec x-2=0

Q: 3. If h:x + x + 1 and k:x - x', complete the following. b. ko h:5 a. koh:3 d. hok:3 c. koh:x - ? e.…

A: Since we only answer up to 3 subparts, we'll answer the first 3. Please resubmit the question and…

Q: [12 31 1 2 and B = ] 1) If JA| = |B1, find the value of k where A =0 %3D 13 [2 1

A:

Q: 9. To solve L [et] = you may use: n! (s-a)n+1 [te] - (-1){(t)}

A: here , we need to find laplace transform of function f(t)= f     we know laplace transform of eat…

Q: 1 In the interval -T, 7| the equation sin x = (a) has an infinite number of solutions O (b) has two…

A: This question is based on general solution of Sine function.

Q: 1.3 In APQR, QR is extended to S, the size of <Q is. A: X B: 60° D: 20°

A:

Q: 59 AM Thu Mar 4 * 69% + : 0 12. Find all solutions of the following equation on the interval [0,27).…

A:

Q: 5. Theorem ZM = LL=. K 110° 60° M N

A:

Q: 1. Find an interval for which the following has an unique solution: (x-2)y"+3y = x, y(3) =2,y'(3) =…

A:

Q: (27) Let X = P(2) and E(-x) = E(5 – 5x) find 2.

A: Given: A random variable X follows Poisson distribution Mathematically, X~Poi(λ) The probability…

Q: 10 4) By using the iterative formula x+1 = of the equation x+ 4x 10 in [1,2] Xn+1 and x, = 1.5 ,…

A:

Q: 5. Find the general solutions to the nonhomogencous, lincar difference cquations. (a) x,12 + X141 –…

A:

Q: 11. If AJKL AMKN, find the value of x. K 12 N 20 x + 1 L. 3x-2 J

A:

Q: (33) Let X = b(20, p) and E-x) = E(3–10x) find p. р.

A: Let X follows binomial distribution with parameters ( n =20, p) The mean of X is, Use the…

Q: Find the Solution (1+12) ds + 21[st² – 3 (1+12) ²jdt = 0; when t = 0, s = 2. t = (1 – s²)[2-e- A s =…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.