11. The graphs of y – log, x and y – log x are shown here. Determine which graph is which, without using a calcu- lator. (Hint: Think about the graphs y = 2* and y = 4*, and then reflect those graphs over the line y = x.) y = log, r and y = log4 r 2+ 1 2 3 4 -1- -2+

Q: (ii).Given that log, (y-1)+log, = z and log, (y+1)+log, x= z – 1, Show that y = 1+8° and find the…

A: Given: log4y-1+log4x2=zlog2y+1-log2x=z-1 . . . . . (equation 2) Concept: Here we shall use the…

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A:

Q: 12. The following graph is the 2.5 acceleration versus time for the 2 motion of a bike. If the bike…

A: We will find the total distance travelled as following.

Q: 6. More models For each of the models listed below, predict y when x = 2. a) ŷ = 1.2 + 0.8 log x d)…

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Q: Given that 4.0 4.2 4.4 4.6 4.8 5.0 5.2 y 1-3863 1-4351 1.4816 1-5261 1.5686 1.6094 1.6487 5-2 3…

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Q: 1 1 7. Show that log3 x show your full solution with restrictions log5 x log15 x

A:

Q: 4. Find the value of x in each of the following (convert to exponential form to help!). a) logX = 2…

A: Note:  Hello User, as per company policy we should answer only for first three subparts of the…

Q: If the parent common log function f (z) = log z is shifted 3 units down, what is the range for the…

A: The range of the parent logarithmic function is all real numbers.

Q: 81. Show that for any constants M, k, and a, the function ("-)) M(1+ tanh y(t) =. satisfies the…

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Q: in The solution of the equation Log(z² – 1) = is %3D Select one: 1 in 1 19T 22e 8 and 22e 8 1 in 1…

A:

Q: 2. A bacterial population has an initial population of 1500. It is observed that the population is…

A: Initial population=1500 Population growth will be given by, P(t)=P0ektP0=1500

Q: 2. The function f(x) = log, x is the logarithm function %3D So f(9) = -- f()- with base %3D f(1) =…

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Q: (b) Suppose $2,300 is borrowed and the interest is compounded continuously. If A(t) is the amount…

A: As per our company guidelines we are supposed to answer ?️only first 3️⃣ sub-parts. Kindly repost…

Q: Consider the function shown below. y 5 5 8. The equation of the graph shown above, where the base…

A:

Q: 5. Find y' and y". f(x)= log,0 x Find y' if y=In(x²+y?) 6.

A: f(x) = log10x ∴ f'(x) = 1/x and f"(x) = -(1/x2)

Q: 1 Suppose y : [0,0) →R is continuous and order exponential. If L{y} = s3/2 %3! and y(0) = 1, express…

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Q: (1) If the general solution of the PDE is Zr e+g(x-logz) then find the PDE.

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

Q: A relationship between (y – 2) and (x – 1) is given by (y – 2) = ab(x -1). . With a suitable linear…

A:

Q: 3. Suppose i h(x, y) log(3x) Actan (¹) Find h(x, y), hay(x, y), and

A: Solution : z=h(x,y)h(x,y)=log3xtan-1y4 hx(x,y) is partial differential of h with respect to x,…

Q: 1 1 1 The value of log, n log,n SI- log,™ -+- t.

A:

Q: A relationship between (y – 2) and (x- 1)is given by (y – 2) = a b(x-1). With a suitable lincar…

A: relationship between (y-2) and (x-1) is (y-2) = ab(x-1) So we will find the solution using logarithm…

Q: The human population x of a certain island satisfies the logistic law dx/dt = kx – Ax² with k = 0.03…

A: Given that, The human population x of a certain island satisfies the logistic law dxdt=kx-λx2 with…

Q: 1. Find the function of the form y = log,(x) whose graph is given. y = y 1.5 (5, 1) 1.0 0.5 5 6 -0,5…

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Q: If t > 0 and 3" kT, where k E Z, then 3" (2 log3 t – 1)7 (2а — 1)" -In 3. csc² (3ª ) d -- dt dæ t…

A: To determine whether the given statement is True or False.If t>0 and 3x≠kπ, where k∈Z,…

Q: 0:A-If y = 2cc (20) and x = etot(20), Prove that: - (answer one only) dy *- (In2).. log, x %3D dr B-…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 17. Suppose the radius r, height h, and volume V of a cylinder are functions of time t, and further…

A: Simply write the volume of the cylinder and differentiate with respect to h.

Q: (-1,}). Find a formula for the exponential function passing through the points and (1,20) f(z) =…

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Q: 1. Below shows the graph of y=2* ,sketch the graph of (a) y=(-2) (b) y= log₂ x (c) y= log₁x 2 -4 -3…

A: Solution:-

Q: 2. Suppose the remaining quantity, measured in grams, of a radioactive substance present after time,…

A: Given: Qt=500e-0.05t we know that at half life quantity of radioactive substance will be half of…

Q: A linear relationship between the logarithms of the variable x and y which are connected by the…

A: We Know that Logarithmic Rule, log(ab) =log(a) +log(b) log(an) =nlog(a) By using above rule we find…

Q: (b) Show that u(2) = log log (1 + la|") belongs to W12(U) but does not belong to L (U).

A: Given: u(x)= log log(1+|x|^-1)

Q: 1. 4 20. The graph of a piecewise-linear function f. for -1<xS4. is shown above. What is the value…

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Q: 1 The resulting 8. 6. The graph of y = log, x is horizontally stretched about the y axis by a factor…

A: Given , a graph y=log2x x is horizontally stretched about y axis by factor of 18 we need to find the…

Q: 2. For the following graph, determine C if x = 2. 04 U 0.3 0.2 1.0 0246 8 10 12 log C 0

A:

Q: 2. Find an approximate equation y = ab* of the exponential curve that contains the given pair of…

A: The objective of the question is determine the approximate equation at given data.

Q: 2 Jlgull %3D ealog (z) e log (e) e log(a) e-log (a)

A: Given complex function is, fz=za. Let, za=z1. Taking log on both side, logza=logz1 Since it is…

Q: 9. If y= ax for some constants a>0 and b, which of the following graphs is a straight line? (A) y…

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Q: Here is a graph of y = log10 (x). y 4 3 1 100 200 300 400 500 600 700 800 900 X What does (100,2)…

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Q: Which of the following is the equation for the graph? (2, 0) -2 -1 5 10 11 12 13 -1 (11, –1) -2 -3 O…

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Q: 6. Solve the following equations for the unknown: i) 4 3n = 32 ii) log2(y +1) + log:(y– 1) = 3 iii)…

A:

Q: 3) Show that for any constants M, k, and a, the function k(t – a) y(t) = - M1+tanh 2 satisfies the…

A: Here, the given function is: y(t)=12M1+tanhk(t-a)2...(1)

Q: 1. Below shows the graph of y=2* ,sketch the graph of (a) (b) y=log, x (c) y=log, x 4 3 2 -4 -3 -2…

A: If you have any doubts in the solution please ask me  in comments i will reply you as soon as…

Q: The human population x of a certain island satisfies the logistic law dx/dt with k = 0.03 = 3 x…

A:

Q: 8. Without a calculator, match the functions y = 2, y = e, y = 3, y = In x, y = log x with the…

A: Without using a calculator, to match the functions, y=2x, y=e-x, y=3x, y=ln x, y=log x with the…

Q: The human population x of a certain island satisfies the logistic law dx/dt = kx – Ax² with k = 0.03…

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Q: 1) Find x to the nearesl integer: e bx - 358,700 2) Find x to the nearest in teger X = log8000 : %3D…

A: Use given conditions find x

Q: (7) k +1\-(k+1) Ck. Ck+1 = e (7.93) Note that for k → 0, this equation becomes Ck+1 ~ Ck, (7.94)…

A: When we take   limk→∞ ek+1k-(k+1)ck =(1)ck=ck Hence, ck+1~ck Let us consider Λ(k)=ek+1k-(k+1) Taking…

Q: 10) The following logistic function model the population P of a koi pond over x months. 68 P(x) =…

A:

Q: 1. The human population of a certain island satisfies the logistic law dx = kx - dt with k = 0.03…

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Q: Suppose y = m In(x) + b is a logarithmic function that has the points (16.9,1.2) and (55.8,9.8) on…

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