Which of the following is a linear equation? O log 20 + e 1 O 2z + 3y- 1 O log a- log r+y= 3 O sin z + log y = 2

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: pmogeneous a²u ду? du a. (y + 2)² – 2x log y + k - In u = 2e¬*, k > 0 ax? ду b. и хх + ху иҳу + y?u?…

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Q: 3. x(y-x) y (y+x). Ans. 2-log xy = a dx

A: 3. To solve the given differential equation: x(y-x)dydx=y(y+x)

Q: Y Let A(x) constant, is a solution of (x³ - x) dy dx +x Then, A is = = log x + C Where C is an…

A: Given yA(x)=log x+C, where C is an arbitrary constant, is a solution of (x3-x)dydx-(3x2-1)y=x5-2x3+x…

Q: Q13] Solve the following equations. a) e = v3+ i, b) log (2) = i + 2rk, ke Z, c) cos-" (2) = -i log…

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Q: Follow the hints and solve the system.

A: We have to solve the system of equations   The given equation is  logx+logy=32…

Q: 2. Evaluate the following a. log i b. tanh(3 + i) c. (2- i)¹

A: Solution:-

Q: If Y = Ab" , then log Y = n log(Ab). %3D

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Q: 1) Solve for x and y in the following simultaneous equations *a) log, x = 2; 5y= x +12 log, y *b)…

A: We have to solve for x and y in the following simultaneous equations.

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

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Q: 1 The functions y= log, e and y are equal. In a Select one: a. False b. True

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Q: – 1)7 (2x – 1) dt csc2 (3") d Ift >0 and 3* + kT, where kE Z, then (2 log3 t – -In 3. dx Jo.2 t csc?…

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Q: z=sin(4TT/3) | * Your answer n=2x^3-log(x)^5 Your answer d=|√(e^(x)^3 )|* Your answer

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Q: Solve the following equations (a) ez = 2i (b) log (z2 -1) = i/2

A: We have to solve the given  complex equations .

Q: Which of the following is a solution of the equation 11 · 4* = 7 · 5*? Select one: a. x = 11/7 b. x…

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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: 1 .The functions y = log e and y = are equal In x :Select one a. False b. True

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Q: Solution to the equation Log(2iz + 1) = in is %3D O None of them Z = Ti z= 1 z = T O z= i

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Q: Which of the following is an equivalent fact to the equation e = T? a) In(t) = x b) log, (e) = X c)…

A: According to the laws of logarithm we have: ln(ab)=b ln(a)   Also, the natural log of constant e is…

Q: a. In cot(1 – 4i) i b. (3et) C. z2 – 2z = log(-2), Calculate the value/s of z d. (V1– 21)7

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Q: Consider the following equations. I. X = 4 %3D log 8 II. X= log 2 III. X = log, 8 IV. X = 3 log 2 V.…

A: Explanation of the answer is as follows

Q: dy Solve the initial-value problem for y as a function of r. (4 x) = 1, y(0) = 4 de…

A: Given initial value problem is,

Q: 1 a ae 9 = t"e 41 what value ofn will make %3D ar ar at -9 = log(x +y +z -3xyz), show that (x+y+z)*

A: Partial differential equations

Q: 7. y=x then log y= log x

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Q: O19 find the Value of X that Satisfies the following equation: a). log 10 Cx+2) + logio (x-1)-1 b).…

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Q: d'a b. = -ka dt? Solve the differential equation and Express the x as a function of trigonometric…

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Q: (iv) log4 r – log, (r – 1) = (v) 41-z = 32r+5 (vi) 2x In - r=0

A: iv) log(a)-log(b) = log(a/b)   (x/x-1) = √4  x/x-1 = ±2   x= 2 or -2/3    v)  4/(2^2x) = 243*(3^2x)…

Q: c) sin [2cos- (-)] d) e 3lns e) Σ-3k-2 54 Lk=2 f) log2 (sec)

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Q: 7. f(x) = log10(1 + cos x) 3D

A: Solution is in step 2

Q: If T = 1o, then log T is equivalent to: 5 A (1 +2 log x) – log y B log(1 +2x) – log y (1- 2 log x) +…

A: We can find the log as below

Q: 2 d'y Solve x? dx? dy + y = log x - dx Which of the following is the solution of the above equation?…

A: Given differential equation is  x2d2ydx2-xdydx+y=logx To find the solution of this equation

Q: Which of the following expressions is equivalent to log(3) - 2 log(2x) + 3 log(y2) show your work…

A: Using logaritms formulae loga+logb=logabloga2=2logaloga-logb=logab We have given log3-2log2x+3logy2…

Q: 1/2 (log.(e))" (b) dt. 2t

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Q: The equation 2 = log y+ 1) can be written as: %3D x+1 2 a) y = -2 log(x+1) %3D b) y (x +1)2 – 1 с)…

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Q: b. (3e* C. z? – 2z = log(-2), Calculate the value/s of z

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Q: 13. Express the following equations in exponential form. (a) logs 5 = 1 (b) log, Q = k (c) In 30 =…

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Q: Which of the following are equivalent to 5 · log (u-1/6)? Assume u > 0. 1 O log log (u/") 1 log (u")…

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Q: Solve algebraically and approximate solutions to three decimal places. a. In(x-3) = 0.924 b. e103x…

A: (a) Solve the equation ln(x-3)=0.924 as follows. lnx-3=0.924elnx-3=e0.924x-3=e0.924x=e0.924+3≈5.519…

Q: 4.) Find y': Given:y = x²(3 cosh x - 1) 5.) Find y': Given: y = log, csc h (6x³)

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Q: Consider the following regression equation: log Yni = log 3.07 + 0.9 log X1i + 1.41 log X2i a.…

A: Given, The regression equation is, log Yni = log 3.07+0.9 log X1i+1.41 log X2i

Q: d 1 -(log, (x))= dx x > 0 x In a

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Q: Which of the following equations is equivalent to the equation below? 6 8 a) O log, (-8) = 6 1 b) O…

A: Solution

Q: Q13] Solve the following equations. a) e = v3+i, b) log (e) = i + 2nk]. %3D k€ Z, c) cos" (2) = -i…

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Q: r1/2 1 (i) s(x)aª(log –)°dx J1/n [" cos(a)a“ (log -)*dr,

A: We will answer the first question only as we don't answer multiple questions at a time. Please…

Q: ez = -2 log.2 – ni A log 2 + ni B log.2 + (2n + 1)ni,n E Z log 2 + (2n)ni, n ɛ Z D log.2 E

A: Given that ez=-2

Q: Which of the following is correct? A. O log n EO(Vn) B. O vn EO(log n) C. O log n EO(Vn) D. O log n…

A: We first expand log n to see the behavior.

Q: a. In cot(1 – 4i) b. (3e) i C. z2 – 2z = log(-2), Calculate the value/s of z d. (V1– 2i)7

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Q: The solution(s) of log2(÷)+ log2(°) = 3 is ( are ) = Select one: O a V8 Ob V8 Oc.-V8 Od-V8, v8

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