3 L cosh-t|= 4 .a 4s 4s2 – 9 - .b 4s 4s2 – 16 .C 9s 9s2 – 16 .d 16s 16s2 – 9

Q: 8. Simplify. 2 a) istooon sdt of b) m (2b\² c) d² 5c e) (ab)? f) (n²m)³ h) (xy-1)3 g) (&d²)-4

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: Cansider h(x)= Ilx? -6x = l|x? calculate Ha) 6 .x T1 3 (22r – 6) A) In(3)- 11 (22.r – 6)3** - (11z²…

A:

Q: 9. Estimate I 3. (4x? + 4x + 1) dæ using n 3 subintervals, and (a) Left endpoints. (b) Right…

A:

Q: (e) For any n €N\{0}, D-C Στις r=1 VI 1 - η 2 11

A: As per the guideline I am answering only first question as they are different questions. We have to…

Q: 5 t+4 14. Subtract. 4t 10t2 23t -8 А. 2012 23t +8 ОВ. 20t2 1-t Ос. 2012 50 - 4t O D. 20t2

A:

Q: ro0 dx -5 and r0x) dx -8 then f) dx is glven by O a 13 b.3 Oc-3 O d. 13

A: We evaluate given Integral

Q: 2s +9 Find L 2 s² - 8s +19

A:

Q: dx 11. Evaluate - V4x² +9 in(2x - Vax" + 9) + C In (2x+V4x² +9)+C А. C. In 2x + V4x? +9)+C D. In(2x…

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: (2) 2 (a) (D² +60 + 110+6) J dy (b) dy dň + 2(2)+55-0 =0

A:

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

A:

Q: [38] Evaluate f, 40yds where S is the portion of y=3x2+3z2 that lies behind y=6.

A:

Q: Solve: L{t° + 3t? + 3t + 1} Select the correct response: 3 6. 3 + - + s s3 6s3 + 6s² + 3s + s s4 3!…

A:

Q: step by step please

A: Consider the given function.

Q: d'y If x = 21? + 3 and y = t – 2 then is 2 dx 3 a) 4 3 b) 16t c) -t d) None of These 4

A: parametric derivative is derivative of a variable with respect to other and both variable  depend…

Q: Q2 For the circuit shown below, choose the correct answer R2 680 Ohm R1 R3 12V 1k Ohm 4.7k Ohm R4…

A: we are given a circuit. when we replace a resistance with short circuit that means we simply remove…

Q: 6. Find y" give y = 7³x a) 21³x In(7) b) 63³x In(3) c) 3(7³x)ln(3) d) 9(7³x)(ln7)

A:

Q: 8 A baker determined the annual profit in dollars from selling pies using p(n) = 52n-0.05m %3D where…

A: Given : Pn=52n-0.05n2

Q: St. -4 16-x² A 4 (В 2 (C) 0 (D) None (Ε 8 00 dx is equal to

A: This is based on the definite integral.

Q: implicit diferentiention for : 2n?+y = goay ts (I,I). 2x3 442-2xyこ4 (2r-3x4+) とy to 611)2- 12 iい)+w…

A: The given equation is 2x3+y3=2xy+1.

Q: 13) f(x) = x2 between x = 1 and x = 5 using a lower sum with four rectangles of equal width. A) 54…

A: Here we will use basic definition of reimann sum/lower sum.

Q: 21.Find. the.curent.densi..a.t. P.(.1,l3). .... D...

A:

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

A: Solution set of inequality are following

Q: Q.5 Use the one sided Greens function to solve the I.VP. y+2y'+y=8+3, y(0) =0, y'(0) =5.

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: dy Suppose =ky, where k is constant and y=15 when =0 Also suppose that y=10 when =2. What is the…

A:

Q: 2a*y? lim (2,u)(0,0) xª + 3y4 O A. 2 B. Does not exist C. O D. 2/3

A:

Q: 13 =D It2 find nd the Va

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: K(t)= 20+ 11t K(5)3D %D

A: We are given k(t)= -20 +11t

Q: Sz sin50 de 8. 15 53 b. 100 11 С. 20 d. None of the abov a.

A:

Q: Evaluate L{(t²+ 4)e³t} 2(2s² – 12s + 19) а) 2(2s² - b) 12s + 19) (s + 3)2 (s – 3)2 (2s2 – 12s + 19)…

A:

Q: c) p(n)= (5n+1)(-n² + 3) %3D d) Alr) =(1+ 2r)(2r2 – 6)

A: Given query is to find the derivative of the expression.

Q: dx 4. S хV25-х2 5+Vx2-25 + C а. 5+Vx2-25 b. In + C c. --In 5+v25-x2 + C с. 5 d. None of the above

A:

Q: a2f_ If f(x, y) = xe?y + 6xy, then is given by: dydx O 2xe?y + 6 None of these e2y + 6 2 xe?y + 6 2…

A: We have to find the derivative

Q: d -In3(kx + Tt) = dx k2 – 4 -In2(kx + ㅠ) kx + T Find k so that A) -1 B) -2 (c) -4 D) -3

A:

Q: F(s)= 2s+8s+12 f(t)=?

A: according to the question we need to find the inverse Laplace

Q: e In x) Q5 Evaluate a) 9. b) 4 c) d) 4. 1/2 3/2

A: we use logarithmic property to solve this integration

Q: 2 35+65+2= x de dk ds S₁-042 V S21=-1-577 B √√²-4AC ZA

A:

Q: 44. г(t) 3 (2t%)/2, t3), for 0 < t<2 %3D

A:

Q: dy Find ax if y = V6+ secnx² %3D O 1) nx(6+ tannx?)-1/2secTx?tannx? O 2) nx(6 +…

A: We are given y=6+secπ x2. So,            dydx=6+secπx2'      =126+secπx26+secπx2'      =126+secπx2·…

Q: dy when t =7. Evaluate xp y = 2z? - 3z +5 x = 4t' +t t= z? +z+1

A: Given that,

Q: 4. a is the sum of 2b and 3 more than b. If b 4, then a is F. G. 9 Н. 15 J. 18 К. 19 8. snd

A:

Q: 3. (36D² – 60D + 25)y = 0 5x a.y = Ge+ Ce 5x b.y = Ce+C,xe 5x c.y = C,xe + Cxe 5x d. none of the…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: s-1 2. Y(s) s2 +4s+5

A: Given that, Ys=s-1s2+4s+5

Q: Q.5 Use the one sided Greens function to solve the I.VP. y"+2y'+y 8+3t, y(0) = 0, y'(0) = 5.

A:

Q: S(3x².fu)+x°, f'(x) dx =24 so, so, f(2) = ) %3D

A: We have to solve the given question. Derivative of the function f(x) can be written as f'(x) Product…

Q: Higher Order L.D.E (D4+5D2+4)2y=0

A: Let's find.

Q: Find 7e' dy. a. 11.23 b. 30.82 С. 49(e6 – e3) d. 7(e6 – e³) e. 7

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.