Using DeMoran's thearem, show that: L (A + B)'(.4' + B')' = 0 b. A + A'B +.4'B' - 1

Q: nter the exact answer. Im z? dz

A: Given, the vertices of the triangle are 0, 2, 2i.

Q: Qg show that: coths =} hm X+1/, X-1

A: Formula: The relation between hyperbolic function cothx and exponential function is given by, cothx…

Q: Fird the inversc trons frm of ; F (5) = sz+ 25

A:

Q: sast(ZayLor Serie) 2-X (MaclurinSones

A: We have to find the Taylor's series of the function fx=12-x about the point a=1 and then we have to…

Q: 8 to left of Z is 33% h. to the leftt of Z is 0.43%

A:

Q: Apply Uptimal obtain y, y₂₁ and y for the pr 3

A: given y'=t+2y h=0.1 and y0=1 to find the y1,y2,y3 proceed as follows Apply Runga Kutta 2 order…

Q: 2. J Зу /7—Зу?dy

A:

Q: What are y (l00) and y (101) for y = cosh x?

A: Given: y=cosh (x)

Q: Given frx) = s %3D and grx) -x? -) What is frg(x))?

A:

Q: al to). Average rainfall of a city from Monday to Saturday is 0.3 inch. Due to fce the rainfall on…

A:

Q: 57. Use FTC I to show that x" dx = 0 if n is an odd whole number. Explain graphically.

A:

Q: vin'x dx

A: Given ∫sin4(x)dx

Q: what is the DE for this?

A:

Q: Q3/ Evaluate the followings: 3) L, 4-* In 2 dx

A:

Q: 3. A populatian of NE7 scares na 3 a meañ of H=13. Wnat is the alve of Ex for this popuation ?

A: We have given that, A population size N=7 and Mean μ = 13   Mean μ: It is the sum of total…

Q: (Superman Versus m ers arrive according uho

A: System 1 Customer arrival rate in a Poisson Process λ Service time  3μ System Capacity…

Q: Sf(x)dと SgCx)dx, suppeat 9 Explain why SfC dx 7 goa) Counter ekample to やU8e a your claim .

A: Use substitute rule unless the integral can be simplified and directly evaluated. Counter example is…

Q: 2sinh cosh -dx 3cosh? * 2

A:

Q: The base x of the right triangle in the figure increases at a rate of 4 cm/s, while the height…

A: Given, h=16 cm & x increasing at a rate of 4cm/sto find angle θ changing when…

Q: cancer u alcurate 5th on diagnostic test is 9s 2 those who halse A 'cancer cnd on those wno do not

A: Given that, As the test is 95% accurate for both who have cancer and who don’t, therefore the…

Q: 15% at Goldstein's. A pric riced at $119 He a

A: Given, Cox's and Goldstein's department stores give discounts to college students, 10% at Cox,s and…

Q: nitial ter t und?

A: The distance s from the ground is given by;s(t)=96+80t-16t2When, ball touches the…

Q: Minz = S. to X₁ + 2x₂ 2X1- X₁ + 3 X. 7, Xz

A: Introduction: The simplex method is a method for testing vertices as potential solutions in a…

Q: Use the error bound to find the smallest value of N for which Error(SN) < 10-º. 9x4/3 dx (Give your…

A: The given integral is ∫169x43dx. Here fx=9x43  for  1≤x≤6. The errorSN denotes the error bound…

Q: aln(Vx) dx

A:

Q: SU = 94 in ; OU = (9x – 16) in %D %3D

A:

Q: 6. dyda ydyda 2R Sys of 37 15D to

A: Formula Used:-(1) ∫a2-x2=xa2-x22+a22sin-1(xa)+c(2) ∫xa2-x2 dx=-(a2-x2) 323Consider,A=∫02R∫0R2-(x-R)2…

Q: find the length of the arl 30 rse from f=0 to 0 =2

A:

Q: Diffirentiate 4=V sec? (St?)

A: Write the given expression using exponents, the apply the power rule

Q: Suponga P(Z,=K) = 2 Determine la distribucioñ de Zn. Ejercicio (DistrbugER del proceso de…

A:

Q: What is XY? 45 45° OA2 OB 5 C 5/2 OD 10

A:

Q: Evaluate plti 5. S z² dz using the formula [2² dz = A 3

A: This question is related to definite integration, we will solve it using given information.

Q: proof that [1] × [l, = [7].

A:

Q: If f'cx)= gica) for 0LKLH, then fca)=9(x) for OLxel True or false?

A:

Q: 20TH MAHH, Determine The deriva )y=3e* +916 4x t I +

A:

Q: what theorem was used? i cant read it.

A: Let's solve.

Q: Verify that * ox af dy 2+ ?х ду ду дх ах 22+ 21 ?х ду ду дж 11 olems) for f(x, y)=5x®y -7xy5.

A: Here is the solution of the given problem.  Partial Derivatives.

Q: 4. Describe in detail three separate ways to find /. Evaluate any two of these to show that they are…

A: I=∫x9-x2 dxUsing substitution method:u=9-x2du=-2x dxx dx=-du2=∫x9-x2  dx=∫-1u du2=-12∫duu=-12∫u-12…

Q: The base x of the right triangle in the figure increases at a rate of 7 cm/s, while the height…

A:

Q: Find the lenegth of the cunde 312 2 from x=o to -

A:

Q: 5. For what value of k, k> 0, does (6kx-2k) dx = -k³ ? о 1 02

A:

Q: for power substitution method, next step is For S dx xp: 4u³dx 4u³dx 1+ u* 1+ (u*)ã Option 1 Option…

A: Find your answer below

Q: Sino = 3. To 0= 19.47 /-

A:

Q: Q1: what is on (3x) SI2 dx x2

A:

Q: uming that there are 80 insects at t = 0. ve your answer as a whole or exact number.)

A: y' = 250 + 6t + 0.3t2 y = 250t + 3t2 + 0.1t3 + C

Q: en by

A:

Q: Fined the intercal of Prone that your ausmer Ys corvect Ž (5-2x)" nllncn) tz) connergance n-7

A:

Q: The base x of the right triangle in the figure increases at a rate of 3 cm/s, while the height…

A:

Q: find using Serie s リ2 dx "I+X 2

A: As a first step, we need to obtain a series for the integrand.