Match the equivalent representations. n° = 5 a. log, (n) n° = 9 b. log, (5) = 9 %3D 5° = n c. log, (9) = 5 %3D d. log,(n) = 9 %3D 9" = 5 %3D e. log, (5) = n %3D 95 = n f. log, (9) = n 5 = 9 %3D

Q: dE The rate at which a machine operator's efficiency, E (expressed as a percentage), changes with…

A: dEdt=25-8t(a) dE=(25-8t) dtIntegrate On both sides∫dE =∫(25-8t) dtE =25t -8t22+cE=25t-4t2+cgiven…

Q: . During a rainfall, the depth of water in a rain gauge increases at a rate modeled by R(t) = 0.5 +…

A: Given:  dh(t)dt = R(t) = 0.5 + tcosπt380                                 (1) R(t) = rate of change…

Q: If a cup of coffee has temperature 95°C in a room where the temperaturé is 20°C, then, according to…

A: Given:- If a cup of coffee has temperature 95°C in a room where the temperature is 20 °C , then,…

Q: Find 4 e" dt This can not be done.

A:

Q: Q17. The signal-to-noise ratio in an FM system is 4. The maximum allowed deviation is 4 kHz. How…

A: a) The signal noise ratio in an FM system is,      SN = 41  ; NS=14Calculate the phase shift for the…

Q: The following equation pertains to the concentration of a chemical in a completely mixed reactor: c…

A:

Q: Q5: Simplify the following then find the dy /dx a) y = (logy y2*) (estn 2*) (tan-!x)

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: 5. Solve the following D.E to find y as a function of x : d´y +y = 12 e3* +8 dx?

A:

Q: Related by the equation V=IR. Volts are V, current I ( ampreres ) and resistance is (ohms) Suppose…

A: Please see the explanation below

Q: Higher Order L.D.E. co°t60°+ 50-2)y=0 + 50-12)y=0

A:

Q: e2x dx= 1+e* A A 2e2x - In(1+ e*) +c B 8 e2x - In(1 + e*) + c C) e2X + In(1+ e*) + c D D ex - In(1+…

A: From the given problem: I=∫e2x1+exdx  ....1 Use the substitution method to calculate the given…

Q: In a large city the amount of sulfur dioxide pollutant released into the atmosphere due to the…

A:

Q: S(e +0°)de

A: On solving we will get:-

Q: Given dp/dt=cp(1-p)-ep. Given that p represents the fraction of islands occupied, 0 < p < 1. Let c…

A: Solution: Consider the given equation is dpdt = cp1-p-ep where p represents the fraction of islands…

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: e. (3.001) 51. A sled accelerates down a hill and then slows down after it reaches a flat portion of…

A:

Q: The voltage V (volts), current I (amperes), and resistance R (ohms) of an electric circuit like the…

A:

Q: The amount of carbon 14 present in a paint after t years is given by A(t) = A, e e 1 The paint…

A: Given that the amount of carbob 14 present in a paint after t years is given by A(t)=A0 e-0.00012t…

Q: 2e*dx where e = 2.7183 %3D

A: Given: I=∫012exdx   As we know from the integral; ∫a·fxdx=a·∫fxdx, where 'a' is the constant. And…

Q: If a cup of coffee has temperature 93°C in a room where the ambient air temperature is 23°C, then,…

A:

Q: d tet dx 1+e* , xe" + e* – e 2x A (1+e*)? xe" +e* +e2« B (1+e*) 2 xe* + e2* (1+e*)? (1+e*)xe* – ¢2«…

A:

Q: The period T of a pendulum is determined by T = 27 with L the length of the pendulum and g the…

A:

Q: The following table shows the time T, in seconds, it takes for a rock to fall s feet on a certain…

A: Power model of the data is already found that is T=0.17s0.56 . In this model , s denotes the…

Q: If a cup of coffee has temperature 89°C in a room where the ambient air temperature is 25°C, then,…

A:

Q: 15. The height above the ground of a Ferris wheel car is modelled with the equation h(t) = -15 cos +…

A: (a) The height is modeled by a cosine function and we know cos 0°= 1, cos 90° = 0 and cos 180° = -1…

Q: Evaluate the following: (Note: Final answer should be expressed as a decimal, not in terms of gamma…

A:

Q: If a cup of coffee has temperature 95°C in a room where the temperature is 20°C, then, according to…

A:

Q: If a cup of coffee has temperature 90°C in a room where the ambient air temperature is 18°C, then,…

A:

Q: If dx = e-²y and y = 0 when x = 5, then the value of x when y = 3 is dx e6 +9 A. e5 C. 2 B. e6 + 1…

A:

Q: Fit a linear model In(P) = In(Po) +r (t – to) through the data points %3D (ti, In(P:)), i= 0,…

A: Let the linear equation be y=a+bx. To determine the values of the constants a and b, solve the…

Q: Hummingbird wing-beat frequency decreases as bird mass increases. The table to the right shows the…

A: given f1=15.64    ;   B1=21.825f2=43.70    ;   B2=2.795f3=29.78    ;   B3=6.017

Q: dh = 1.2t + 7, where t is the dt An evergreen nursery usually sells a certain shrub after 5 years of…

A:

Q: Hummingbird wing-beat frequency decreases as bird mass increases. The table to the right shows the…

A:

Q: The voltage V (volts), current I (amperes), and resistance R (ohms) of an electric circuit like the…

A:

Q: Suppose on a certain day, that the temperature (in °F) at De Anza t hours after midnight is given by…

A:

Q: Suppose that (dy)/(dx)|x=1=-3 and y=-2 when x=1. What is the approximate value of y when x=0.99?…

A:

Q: The oxygen consumption of a bird embryo increases from the time the egg is laid through the time the…

A: We will find c'(t)  and then find the c'(26) by putting t=26 in the expression of c'(t)

Q: 5 y In the triangle shown above, if 0 increases at a constant rate of 3 radians per minute, at what…

A: In the triangle, θ increases at a constant rate of 3 radians per minute. To determine the rate at…

Q: DA body of unknown temperature was placed in a room that was nera 20 30 F. After 10 minutes, the…

A:

Q: You are studying the impacts of rising sea levels on an estuary, and are modeling how the salinity…

A: Given that st=12sin3π25tcosπ25t+15St=14sin3π25tcosπ25t+17 Here S(t), s(t) gives the salinity level…

Q: 67. Temperature and the Period of a Pendulum For oscillations of small amplitude (short swings), we…

A: Given: The period T=2πLg ...............(1) The change in length with respect to temperature dLdu=kL…

Q: You are studying the impacts of rising sea levels on an estuary, and are modeling how the salinity…

A: Given that: The historical data is: st=12sin3π25tcosπ25t+15. The current data is:…

Q: Please answer all parts in detail.

A:

Q: 10 A thermometțer showing 10°C js brought into a room whose femperature is 27°C After 5 mīnutes , it…

A:

Q: A tank initially contains 180 L of pure water. A mixture containing a concentration of y g/L of salt…

A:

Q: Sheet no.2: Exercises/solve the following D.E using L.T. 1. y"+3y'+2y = e', y(0) 1, y'(0) = 0,

A:

Q: Solve the following D.E. 1. zy+y+ye* =0

A: We will find out the required general solution.

Q: Just before mid-day, the dead body ofJohn Wayneis foundin a room that is kept at a constant…

A:

Q: Find the value of (D) for the given D.E if we use the variation parameters method d'y dx dy +y=te?t…

A: