Хо — 0, х X2 = 3' , and X3 = , X4 = 2 4' and where 2 C, = - 6' C3 = 3 3 and Ca = 2 3' y 1.5 1.0 0.5 3 -1.5+

Q: z dz 2). S: 25+16z2

A: We can find the integration as below.

Q: Solve: L{tet sin 3t} O (18s^2 - 6s + 36) /(s^2 + 2s +10)^3 O (18s^2 +36s 36)/(s^2 +2s +10)^3 (18s^2…

A: Solutions

Q: If Z~N(0,1), calculate Pr(1.55 < Z < 2.65). You can use Excel. Round your answer to three decimal…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: - 4.9t tlut t600=0 t--14 士 + 4ベ49せo0 - 2<4:4 tz 12.59 tキーve

A: solution of quadratic equation is given by :when ax2+bx+c = 0x = -b±b2-4ac2a

Q: If Z~N(0,1), calculate Pr(2.26 < Z < 2.89). You can use Excel. Round your answer to three decimal…

A: Solution: Let Z be the standard normal distribution.

Q: E n Σ(x − x) = (n − 1)σ. - -

A:

Q: 2.282 Ex 1.234 - 0.051 al -1.699 0.025 ail vel 2.045 95% -2 -1 t= Ex: 1.234

A: *Answer:  From the given information, the number of observations is 30.

Q: solve the intial value problem y'' + 6y' + 9 = 0 , y(0)=2 , y'(0)=-5

A:

Q: 6. +4y> S 7. 15m+42s 8. pe-5 9. 52x+y 10. -zy-3r +S ame Cortesian anc

A:

Q: dy If y = e8z+13 then- dx O 7e8z+13 O 13e8z+13 O 9e8z+13 O 8e8z+13 O 104e8z+13

A:

Q: 2 If In(ax)dx = 2, then a = 1 es 4 4. O None e3 4. 4

A:

Q: tain cancer among men aged 70 and over occurs at a rate of 1 in 150. A blood test will be positive…

A:

Q: Find y' to 3 |х — 1 O y = In x2 O x² In V3x + 5

A: Here we use logarithmic properties ln(mn) =n(ln(m)) ln(m/n)=ln(m)-ln(n)

Q: The nh³ (2x) sech (2x) dx is equal to O A. sech³ (2x) sech³(2x) +C 3 10 O B. tanh°(2x) +C OC. sech³…

A:

Q: L[u(1 – 3) (r²4' – 9 4')] = In 4 e-" (금 + 음) ㅇ -3s 64e 2 (s-In 4)3 (s-In 4)2 In 3 e-4s (를 - 8 -4s e…

A: Laplace transform satisfies linearity property, La·ft+b·gt=a·Lft+b·Lgt By Laplace transform table,…

Q: 11. (4+ t) dt 13. | – 5y) dy 15. (31² – 4t + 5) dt

A:

Q: For someone who wants to see the higher temperature will lead to a higher hardness index, why it is…

A: Regression: By regression we mean estimation or prediction of the average value of one variable for…

Q: de (x+2) h+2+ +C (r+2) x + 2- Option 1 Option 2 In Ix + 21 + 4r+5 + C in x + 2 (e+2) O Option 3…

A:

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

A:

Q: 4. L{t² sin 10t} 60s? – 1000 60s? – 2000 b.- (s² + 100)3 60s2 + 2000 а. c. d. none of the abov (s? +…

A:

Q: kx 4+x² If k > 1, evaluate O ka -In|x² + 4 +C 2 Okx -arctan (2x) + C 2 Ok In(x² + 4) + C O arctan…

A: Given: I=∫kx4+x2dx   ...1   As we know the common integral. ∫1ax+bdx=1alnax+b+C

Q: X~N(253, 39).  Find P(260< X < 340).  (Round to 3 decimal places.)

A:

Q: 2 O Finel F.S For Fex) = 2くxくだ 7. %3D 2. -2 37 2 2.

A: By Bartleby policy I have to solve first question, as these are all unrelated problems. These are…

Q: 1 if dx =3 then K3D203 Select one: O True O False 03789

A: objective to find the integration.

Q: CV4-x2 4-x2-y2 1- o So Si s** ydzdydx Jx²+y2

A:

Q: 46) Evaluate V(3r + 1)dx 2(3r+1)7 O s(3z+1) 2 O 2(3z+1)7 +c 3 O D(3r+1)1 + c 2

A: We have to solve the given integration

Q: Assume that a factory can produce a quantity 2x3 + x°y + y4 of goods, when x is skilled workers, and…

A: Here we use the concept of implicit differentiation.

Q: 9. S(9 + 8y – y²)= dy

A: Topic = Integration As per guidelines , At  a time only one question can be answered . please repost…

Q: If y=2x²-4, what is its inverse? or Oy¹--√2 Dy^--, DOIN such that xs-4 such that x2-4 such that x20…

A: Given, y=2x2-4 To find the inverse, we need to swap the variables 'x' &amp; 'y' x=2y2-4 Now solve…

Q: X0.334 y 3.4 0.340 4.0 0.367 3.1 0.269 11.1 0.286 0.248 8.6 7.4 (a) Verify that Ex = 1.844, Ey =…

A: x y 0.334 3.4 0.286 7.4 0.34 4 0.248 8.6 0.367 3.1 0.269 11.1   r =…

Q: 2 If [ In(ax)dx = 2, then a %3D 1 e4 4 None es 4 4 4

A:

Q: 3t when LI 1 ニe then L %3D S- 3 S-3

A: If Laplace transform of the function f(t) is denoted by Lf(t) or F(s), then the Laplace inverse of…

Q: Suppose X~N(148,8), and Z~N(0,1). Then x = 143, is equivalent to z = ______. (Round your answer to 2…

A: Given information  X ~N(148,8) Population Mean (µ) = 148 Standard Deviation(σ) = 8 X= 143

Q: dr e² +e== 10 ´e² - dy | 4z sin(4z + 5) dr ( (4r0 + 2r* + 15z" 7 +1 + (3z – 5)*) dz / (Vi++ e** +4*…

A:

Q: F(s) = 5s+3 6s 8 9- - (5s2 +4s+1) s2+7 9

A:

Q: .7 f(x)dx= 12 and f(x)dx = 3.1, then 5. If %3D

A:

Q: dx = 2x - 1 x³+3x + C x2 +C -- 3+C 2. 6. In x +C In x +C

A:

Q: 1+ In x If y = 1- In x The value of y' = 10.62 at x = 2 %3D

A:

Q: 2 dt t² +2t +3 18. Evaluate 8 dz z² +8z+ 25 20. Evaluate o

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 y = [cosh(2x)] co* ot-1

A:

Q: S tan³ 6x sec10 6x dx 1 sec1²6x + sec1º6x + C 72 1 60 B none of the choices 1 -sec1²6x + 72 1 1…

A:

Q: 39. If z = 5x² + y² and (x, y) changes from (1, 2) to (1.05, 2.1), compare the values of Az and dz.

A:

Q: x²+|lx-35 =0 川+4(0-35) 26) -I| ± J961 12 12 1+ 30 Jud -11-30J6T

A: Topic:- algebra

Q: L() tu(t-3) e6-3s ( 1 + (s+2} 3 s+2 e2-3« ( + ) o 1 (s+2} S+2 e-3+ ( +) o 1 (s+2} s+2 ( e-6-3s 1 3 +…

A: We will find out the required value.

Q: L[u(t – 3) (r²4' – 9 4')] = 64e- -3s (s-In 4)3 9. (s-In 4)2 2 81e-4s (s-In 3)3 16 (s-In 3)² 64e-3s (…

A:

Q: 2ť coslatray) 5t"Sim latr34) +Sing-e 4 限-0

A: Let us consider the differential equation of the form Mdx+Ndy=0 Firstly check the equation is exact…

Q: 2s+2 ds = In|s| – In\s + 2| + C %3D s3 +3s2+2s

A: Here, we are solving only 1st question and for the remaining question post the question again.…

Q: seParable 5い / / とll y=2メJタ! 4 xx

A:

Q: Solve for nif n Py=60(nc)

A: We know that nP4 = n!/(n-r)! nCr = n!/(r!(n-r)!)

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.