3r- 5 If t(r) = r-A and t(3) = 2, what is the value of A?

Q: 3s2 – 4 (3) Is it true that L{(e' – e ')²} = %3D s(s² – 4)

A: To answer the question we shall find the Laplace transform by using the table of Laplace transforms.

Q: (d) (x– 2)* + (y-9)* =1 (e) x² + y² = 1 (f) x² +(y+5)° = = 25

A:

Q: Fina 十he by Us n CXS= Yこ fC

A:

Q: 3s + 2 F(s) = (s – 2)(s? + 2s + 5)

A: We will find the inverse Laplace transform of F(s) as shown below

Q: X-5 If y = Inx , find y'(e²).

A: If the two functions f(x)and g(x)are differentiable (i.e. the derivative exist) then the quotient is…

Q: (D³ + 4D² + 9D + 10)y - 24 e*; when x = 0, y = 0, y' = -4, y" = 10. %3D

A:

Q: n: y" – 9y = 0; e3x; e-3x

A:

Q: (c) Can you explain how to compute , 1(3f(x)g(x)) dx using the information given? Why or why not?

A: The given part is  ∫211fxdx=4.5∫211gxdx=13f and g are positive on [0,15] To compute: (c) ∫2113fxgxdx

Q: (B) 3 (C)2 If D* f (x) = 2f (x) D(f (x)), then (D*(x/nx)), is- (A) 4 BYA 16

A:

Q: { 3s-6 F (t) = L-1 fınd F (- s2 –4s+20 3e3m -3e?m -3e3n

A:

Q: s+6 Y (s) Find y(t) s2+8s+6

A:

Q: f(s) -3s² – 5 %D S f(s) -2 -1

A:

Q: 3s - 2s - (s-3)(s² +1) %3D (1 + ;s)(E = $) = (s)d

A:

Q: S₁ A B If 2x²+x-2 (x+1)(x²+1) ² 1 -- 2 U NIG 5 —— D E) None + -S₂ -dx = A x + 1 + B (2x) + C x²+1…

A: Partial fraction decomposition

Q: 11t? Given - 17t -3 6 1 t3 - 3t2 t - 3 (11t2-17t - 3 dt = Evaluate (Don't forget to include the…

A:

Q: 1.) A (y-9)° x +21 12x 1 D Find the Value of x.

A: A quadrilateral is a polygon with four sides. A parallelogram is a quadrilateral whose opposite…

Q: = e-t et + 2e²t e2t-3et - е

A:

Q: xf(x), x and f(x) has the corresponding possible values = 1a, 2a^5, 3a^9. where a is constant…

A: xf(x), x and f(x) has the corresponding possible values = 1a, 2a^5, 3a^9. where a is constant…

Q: T= 2 n t+n, -n <t < 0 f(t)= t - 7, 0 <t<A

A:

Q: 2 a) y = Find y'. 3e (ax-5)4

A: Explanation and solutions is given below.....

Q: e(12)x+ c2e' (5/2)x ans: y=cje 1. 4y"-12y'+5y=0

A:

Q: 2(x-1) + If y = Vx? – 2x then y' 3x2-2x T O F

A:

Q: 5r+1 (d) 16 - 2>0 (e) 2 4

A: Solution set of inequality are following

Q: (s-2) F(s) = [+ %3D (s-2)2 + 16

A:

Q: 15. P = 0.0089 and P = 0.3050 (a) (b) -3 /-2 -1 z =-2.37 J2-1 1 2 -3 -2 -1 3. z =-0.51

A: The P values are 0.0089 and 0.3050.

Q: 교고 + z-2 I+ -2, b) f(x) = I+2 -3, I = -2;

A:

Q: Part (c) 1 What is f (2) dz 2ni Jcs

A: This is a problem of complex analysis.

Q: A = {-();n e N} -1 S = {x €R; 12x+ 1| < 5} -Y

A: Find the attachment

Q: B 2 Show that can be written in the form A + C where A, Band Care T (x - 2)(x + 3) X-2 +3' constants…

A:

Q: G > -A – |< :). 3 Q: Let f (y) =y² for –1 < y< 1. Find P(|Y

A:

Q: (c) T1(T1(x)) = Ax -1 55 A = -22 54 (d) T2(T2(x)) = Ax A =

A:

Q: F(s) = = 2(s - 1)e-2s s22s+2

A:

Q: 2. x'y-x'y 12 at (-1,2)

A:

Q: C(-4,0) andr = 3 (x – h)2 + (y - k)2 = r2 0 = 1 + + +A + zX

A:

Q: gA (D-D-6)y(x) = xe Usled a *5x+2) - 1 хе 50 1 y,(8) 50 y,(x) = 50 xe (5x-2) - y,(x)-xe" (5x+2) -i

A: Given

Q: L?{F} Determine 6s- 13s+2 F (s) %3D s(s-1)(s-6)

A:

Q: %3D AB is a midsegment of AXY Z. If AB = 3f +8 and YX = 7f +11, what is the value of f? A 3f + 8 Y…

A:

Q: f(t) = te-t (s > -8) %3D

A:

Q: olve the equation for 0 < 0 < 2n 4cos 0 =-2 T 4T 3T A) 2 3 2 2T B) 3) T 2n 4T C) 2 3 3 2n 4t D) 3 3

A: The answer is

Q: s-1 Q1/ Find L- 2s2+8s+11

A:

Q: e3x-y+z (e*)³e² ey True False

A:

Q: 2s -5t f(s,t) = %3D 4s +t %3D f =

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: fo 뉴- 토욜 하블 4+0 X = 2 (-1,4] find MLE (0) GE | + 旦22 0 + ㅈㅈ =-2 7= 1 1

A:

Q: (1+m) x2 - 2 (1+3m) x+(1+3m) =0 Find the value of m from the above

A:

Q: 3) If y varies directly with x and y is -6 when x is 2, what is x when y is -22?

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: P(-0.34<Z < 2.46) = (Using table E) %3D

A:

Q: determine L−1[F].

A: Given Fs=2s+3ss2-2s+5.

Q: 1 e*(6x-15x +9x') =x'e* D² -D+3 true Error

A: e-2x(6x-15x2+9x3) =(D2-D+3) x3e-2xRight Hand Side:(D2-D+3) x3e-2x =(D2x3e-2x) - D (x3e-2x) + 3x3e-2x…

Q: 4 B + x+3 dx = (x- 1) (x² – 9) dx, what is A- B+C? If X-3 A) 0 B) 1 D

A:

Q: e 3z -で dz (ez + e5z)2 I = 0,

A: