They y-intercept of the function y = -2 log(4x + 1) + 3 is a) (0,-2) b) (0,4) c) (0,3) d) (0,1)

Q: Over 4 years, researchers studied the growth of a fish population and found its growth rate to P'(t)…

A: hintddxtan-1x=11+x2 or,∫11+x2dx=tan-1x

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…

Q: The effect on the graph of y = log,z if it is transformed to y = log,(z+3)? may be described as Oa…

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Q: Find the exponential function f(x)=a^x that passes through the point (−3,1/27) and has a y-intercept…

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Q: Find an exponential function of the form f(x) = bax + c for the graph.

A: Given function-  f(x)= bax+c ----(A)  The curve (A)  is passing through ( -1,9) So putting x=-1 and…

Q: How do I write the exponential function in the form f(t) = ab^t passing through points (-1, 2/5) and…

A: The solution of given problem is followed by

Q: Find the function of the form y = log,(x) whose graph is given. %3D y = y 2- -가 1/4,-1) 2.

A: Given: Provided graph is:

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: Find the exponential function of the form h(x)=ba^x + c such that  y=2 is a horizontal asymptote…

A: Topic:- calculus

Q: dz dz +y дх = 50 +x4°y+y5° ), Prove that x ду If z= log (x50

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Q: X-y 19. If log 3 (logx + logy), show that x+y = 11r %3D

A:

Q: 6. h(t)=- 2-1 7. g(x)%= 1-Vx-2 8. f(x) tanx 9. (x) = log(1-2x) 10. y (1-x

A: Please check step 2 for the solution.!

Q: e3+j4(3+ j4)5 log ji' sin(3 + j4) j2022

A:

Q: For any logistic equation, show that the point of inflection occurs at y = L/2 when the solution…

A: Given: The logistic equation

Q: Approximate the point of intersection of the graphs of f and g. (х, у) 3 y 2 5 10 15 -2 -4 Solve the…

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Q: Differentiate g (†) = 4 log, ( t ) – In ( t )

A: Given g(t)= 4log3(t)-ln(t) Now we have to differentiate g(t) as shown below

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: Domain of the y = log, (r-3) logarithmic function is {r|x > 3}

A:

Q: The number N(t) of people in a community who are exposed to a particular advertisement is governed…

A: Given that Nt represents the number of people who are exposed to a particular advertisement. The…

Q: f(x + h) – f(x) h\1/h log 1 + If f(x) log, x, show that = h + 0. h

A: fx=logax

Q: (3) Find the domain of f(x) = log(6 + x – x²) (A) (-∞, 3) (B) (-2, 3) (C) (3, ∞) (D) (-∞, -2) U (3,…

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Q: #2. Researchers have descried the maximum growth rate of a phytoplankton as a function of the cell…

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Q: Find y by logarithmic differentiation. y=x²X A O y = 2 In x+2 2 In x-2B O y = x²* (2 In x+2) .C O y…

A: Use log to differentiate

Q: If logy =c- log,x, where y> 0 andx > 0, then y is equal to A. c-X В. 3 D. C.

A: To solve the given logarithm

Q: log, y -log,(2-y)= 0

A: Use the logarithmic identities: logax-logay=logaxy            where x,y and a>0, and…

Q: Order the functions f(x) = log2 x, g(x) = xx , h(x) = x2 , and k(x) = 2x from the one with the…

A: Consider the given functions fx=1og2x,gx=xx,gx=x2,k=2x.

Q: Does the function f(x)= logarithm x with the base of 1/2 approach a certain real number as the value…

A: To Discuss: a. Does fx=logarithm x, with base 12 approaches a certain real as xincrease positively?…

Q: 1. Find the value of y. a. log;25 y b. logy32 = 5 c. log,y

A:

Q: For the function f(x)=5.log (x* - 10x +x+30)-5, on the interval (-4, 4), approximate the local…

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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: 7. True or False If y = loga x, then y = a".

A: Given that  y=logax

Q: 2 log , x + 12log, y

A:

Q: Cosh sec (3* Find (y')(3**) -X+1 y = log, 3

A:

Q: Using the linearization of f(x)=log,x, Approximate the value of log,30

A: Explanation of the answer is as follows

Q: 7) y= log, x+ 9 8) y= log, x

A:

Q: x-1 X-n x+n If y = x log show that y, =(- 1)" - 2 (n – 2) ! %3D x+1 (x - 1)" (x + 1)"

A:

Q: Solution to the equation Log(2iz + 1) = in is None of them z = ni z = i

A: Usually, log x is represented as log10x . If log x=y , then x=10y .  The natural logarithm, ln x is…

Q: A population of bacteria, B, can be modeled using the exponential function B (x) = 3 (2)“ , wherez…

A:

Q: Find the equation of an exponential function of the form f(x) = a · bº that passes through the…

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Q: Suppose log, (x) = 2 and log, (y) = 5. Find the following: d) log.(V) e) log, (x + 2y) f) log,(y")

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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: Finds 군x, 군y, Zxx, 군yy, 근xy, 2sx Z = LogX

A:

Q: Find the formula for an exponential function that passes through the two points given. (x, y) = (0,…

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Q: Find the linearization of the function k(x) = ln(x) when x= 1 and use it to estimate ln(1.1).

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Q: f 3(2x-5) dx а. - log7 × dx b. S log, x

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Q: find δƒ/δx and δƒ/δy. ƒ(x, y) = logy x

A: Given that: fx,y=logyx To calculate δƒ/δx Partial derivate the given function with respect to “x”…

Q: 12. Determine the y-intercept of the function y=log, (x+81).

A:

Q: b) Given that log, (y-1)+log,|| |= z and log, (y+1)+log, x = z-1, Show that y? =1+8² and find the…

A:

Q: Find of, af , for f(x, y) = log₂ (3г² - +y)

A: Solution of given question is written in below steps.