GUESTION 3 dy Fmid Tx 2. 3.1 sinh e 3.2 %3D (Simiplify = Sech Cuox) answer fully your

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A: solution of the given problem is below using laplace transformation...

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Q: 2) dx Ve -1 a) 2 vezr - 1 In (e – 1), c) arctan (e), d) sec-le

A: We need to solve the integral

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Q: 1 Jlgull Planck's constant is very Larger 0 صواب ihi O

A: Since we know that the value of plank's constant is 6.62607015×10−34 J·s

Q: Neter to the imege below cvaluate the Parsterular colutron the differential eguatiob of and frnd pse…

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Q: 1). § x²e5* dx (Integration by Parts)

A: ∫x2e5xdxIntegrate by parts ∫fg'=fg-∫f'gf=x2,g'=e5xf'=2x,g=e5x5=x2e5x5-∫2xe5x5dxIntegrate by parts to…

Q: e3x d 6. (10) Calculate dx cot(t)dt. 2

A: Solve by using substitution and first solve the integral and then go for differentiation. Do step by…

Q: 3. An elementary reaction is generally expressed as: dCa =-kC," dt %3D where A is the species being…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: dy 3. (a) If y=x'sinh (1/x)+ In(tanh 2x), find dx

A: Given function is y=x3sinh−11x+lntanh2x. We have to find the dydx. Used formula, ddxsinh−1x=1x2+1…

Q: A conference room has a volume of 4500 cubic feet. Initially, the air in the room has no Carbon…

A: Given: The initial amount of carbon monoxide-free air is 4500 cubic ft. Let y(t) be the amount of…

Q: The dye dilution method is used to measure cardiac output with 8 mg of dye, using the following…

A: Definition used -                 Cardiac output = Quantity of dye∫010(concentration ofdye)dt…

Q: Find dy/dx if ylnx + y^2 = 0.

A: According to our guidelines, we can answer only one question or three subparts of a question.

Q: The number of cells in a bacteria population is given by P(t) = 1950 · 4 where t is measured in…

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Q: dy 3. (a) If y=x'sinh '(1/x)+ In(tanh 2x), find dx

A: Given: y=x3sinh-11x+lntanh2x

Q: Find dx y = 4 In x+9 log 4x dy (Type an exact answer.) dx

A: See the details solution in below

Q: On Myra's spelunking adventure (cave exploring) she found an incredible population of albino…

A: Given : At time t population of  cave's salamander is 317 and population as a function as a time is…

Q: 32. A wheel rotates at 300 rpm and decelerates at 5 rad/s^2. How long will it take for the wheel to…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: mass suspended from a spring performs vertical oscillations and the displacement x (cm) of 1 d?x he…

A: Differential equations and amplitude

Q: 2x^ + xt3 dx x+ x a. In lxl+Ź In Cx t1)+ tan-"c) tc b. In \xl-Į m (x2+1)+ tan-' Cx) tc in e, wone

A: The integration of the integral is  (2x2+x+3)/(x3+x).

Q: Consider the model y;=Bo+B12t+B2zt-1+Uf z temporarily increases by 1.80 units. The ontemporaneous…

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Q: A tann initrally cunsnista f 50 gal ef 1b/gal f sald Ļ5 pumped into the tan n at a, rate cf 3'gal/…

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Q: QI/ Find dx 少 for Iny=ex).csch"()

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Q: eYdx+ costx dy co

A: We have the given equation as   e-ydx+cos2xdy=0   We have to solve this differential equation

Q: Q3. Find an equat ion of the line passing throngh the point (1.2) and perpendicular to the lne 3

A: Here we are to find the equation of a line which passes through the point (1,2) and which is…

Q: The ideal gas law is known as PV = nRT Where P, V, n, and T refer to pressure, volume, moles and…

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Q: " sinh z a Cosh z 2) coth 2 Tanhz A cschz 4-2-2at1 4) Camscanner l

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Q: 1 dx(give work clearly with full explanations) find (2x+5)²

A: We have to find the integral of the given expression   The given expression is    ∫1∞1(2x+5)2dx

Q: Eliminate the arbritrary constant/s. Show full solution. x = -ln t, y= at + bt2

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Q: d 55. Vcosh x +1 (cosh x + 1)-/2 sinh x dx

A: Given The function is f(x)=cosh x +1 .

Q: SSAdalyticalsalution dy +Cosyco give y=- dx whan t= 12

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: L{e-4t cosh 2t} L{e=t (3 sinh 2t – 5 cosh 2t)} -

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Q: Valuate% I-S(t sinzo} de

A: To evaluate the given integral.I=∫0π12sin 2θ2 dθ

Q: The height (in centimeters) at time t (in seconds) of a small mass oscillating at the end of a…

A: We will plug the values in the average velocity formula

Q: 10. The rate of growth of a population is given by r(t) = t+t cos() hundred per day. Has the…

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Q: 9. A model used for the yield Y of an agricultural crop as a fur tion of the nitrogen level N in the…

A: Please check step 2 for the solution.!

Q: II ACTIVITY # 8: esinx dx use N=5 SOLVE USING TRAPEZOIDAL AND SIMPSON'S RULE

A: For trapezoidal rule  h = b-anh = π-05h = π5 x 0 π5 2π5 3π5 4π5 π esin x esin 0 = 1 esinπ5 ≅…

Q: ich option is an antiderivative of Sar 3x cos(-2x) dx a. 3 9.

A: We will use integration by parts to find the answer.

Q: 3.1.1 L sinh 3t dt

A: The Laplace transform can be obtained using the table of the transforms. The integral for the…

Q: 1:10 PM Wed Nov 24 Inverse hy perbolio AUTIVITY Oy = sinh (2x+-1) cosh Sza ☺ y= tanhB | -| /2

A: We have to find the derivative

Q: S16 – x2" Quiz: integrate the following equation x3 dx 16 -x2

A: The formula for the substitution method for definite integrals is given by, where g'(x) and f(x)…

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Q: e* sec (e* +1)dx tanle* +1

A: We need to evaluate ∫ex sec2(ex+1) dxtan(ex+1)                              (1) Let tan(ex+1) = t On…

Q: 2EValuatethe Valee ofthe Inextintegration byusing the t rapezoidat vule zhen find the absotute…

A: Given that, ∫03π20sin5x+1dx with n=4

Q: Incot3x dx sinh e* 1+9x

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Q: An object is suspended from the end of a spring. Its displacement from the equilibrium position is s…

A: Solve the following

Q: 5. As sand leaks out of a hole in a container, it forms a conical pile whose altitude (height) is…

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Q: メナ1 dx 3) Integrate : Si ar" he

A: Given: I=∫x+1x3+4x2+4xdx We know that; The Power rule; ∫ax+bndx=ax+bn+1an+1+C ; n≠-1 And…

Q: A model that describes the population of a fishery in which harvesting takes place at a constant…

A: It is given that, dP/dt=kP-h Where k and h are positive constants.

Q: A model for the basal metabolism rate, In kcal/h, of a young man is R(t) = 95 - 0.18 cos where t is…

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