S(x? – x), if r < 1 p. Determine if the function f(x) = is differentiable at x = 1. %3D | log, x, if x >1

Q: Which of the following functions grow faster than In x as x→ oo? Which grow at the same rate as In…

A: fx=lnx c. gx=1x Now, limx→∞gxfx=limx→∞1xlnx=limx→∞1x lnx=0 Hence fx=lnx and gx=1x grows at same…

Q: Q2) A: Compute 2 at the point (1, 0) for the function dx S(x.y) = cot(4x + eln(sinzxy)) + sinh(3) +…

A: Consider the given function. f(x,y)=cot-1(4x+ein(sin2xy))+sinh(3)+log2x2

Q: Consider the following function. 1 f(x) : X. Find its average rate of change over the interval [4,…

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Q: - Which of the following functions grow faster than In x as x→ o0o? Which grow at the same rate as…

A: Derivative of a function determines the change of variable with respect to another variable. Whereas…

Q: What is the closest value to the instantaneous rate of change of the following function at x = T?…

A: Ans:  Given  fx=2 cosx-π2  at  x=π          ⇒fx=2cosx coπ2+ sinπ2         ⇒fx=2cosx 0+sinx1…

Q: The slope of the secant to the curve is: f (x) = log1o I between x 1 and x 10 %3D O a) 1 Ob) 9 O d)…

A: Topic = Functions As per guidelines , At a time only one question can be answered. please repost for…

Q: If U, is a function whose fifth differences are constant and U, dx can be expressed in the fom pU…

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Q: Let f(t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid…

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Q: 5 dy (x*+3)* Use logarithmic differentiation to find- given that y dx /2x+1•ecscx*

A: The given function is: y=x4+352x+13·ecsc x Find dydx using logarithmic differentiation. Logarithmic…

Q: Find the slope and the y-intercept of the tangent line to the graph of the function f(z) f(x) = 3…

A: Given: f(x)=3logx10-9x

Q: If; of t = x then at t=1 is (Note that these functions in N) dx

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Q: Consider the following function. f(x) = Find its average rate of change over the interval [1, 9]. Ду…

A: The given function is -  f(x) = 1x We have to find the following -  (a) Average rate of change over…

Q: B- Find dy / dx for the following functions: (3 mark) * 1- Y= sin( coshx log, 2 ) 1 Add file 2- (3…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: f(x, y) = 1/(xy), then the marginal pdf of X is (log x)/y. Is this statement True/False?

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Q: 4. Which of the following functions grows at the same rate as ex as x goes to infinity? ex+3 e3x e2x…

A: We find which of the following functions grow at the same rate as ex as x goes to infinity: (1) ex+3…

Q: Q4: Find integration for the following functions: - a- S 3ln²x dx

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Q: Find for y = (x? + 5)°(1 – x*)* using logarithmic differentiation. dx

A: To find dy/dx using logarithmic differentiation

Q: dy Find for the following function: dx 1- y = etan'x 2- x³y + x²y = 2 at x = 2 3- y = log4(x³ – x)

A: Finding Derivatives by applying chain rule of derivative

Q: If X is an exponential RV with parameter A, find the PDF of Y = -14 In(X). 2

A: Given information: If X is an Exponential random variable with parameter λ. The pdf of X is,…

Q: (i) Find dy dx for the function y cot a using logarithmic differentiation

A: According to guidelines we should have been able to solve only one first question at a time #1

Q: Evaluate the second derivative of e22.1.png а f(x) acos(b/x) x2 if a = 345 and b = 0.6 at x = 5…

A: Given: Let us consider the given, fx=acosbxx2 where a=345 &amp; b=0.6 at x=5 using BDA with ∆x=0.06.…

Q: where a = If loga z= dt, then r= exp

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Q: Consider the following function. g(x) = x³ – 5 Find its average rate of change over the interval…

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Q: By direct calculation, estimate the value of df/dt for f(x) = 1/x^2 at x=4. Use an increment of…

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Q: Q1: Using natural log., the derivative of : z(r) = cosʻ(r)/1+r² ?

A: The objective is to use natural logarithm to find the derivative of  z(r) .

Q: At what value of tt does the local max of f(t) occur?

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Q: For function y=xx , finding dy/dx required the use of logarithmic differentiation. Now let…

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Q: 4. y = log,(x* +3x² +1)

A: y = log(x4 +3x2 +1 ) here we use chain rule for differentiation dy/dx = (4x3 +6x )/(x4 +3x2 +1 )

Q: Q1: Find dy/dx of the following functions: 1. x?e? y = log2 2Vx+1,

A: Disclaimer: Since you have posted multiple questions, we will be answering only first question for…

Q: To three decimal places, the slope of the tangent to the curve f (x) = 5 log3 a +7, at x = 2 is:

A: Slope is defined is as differentation of function at given value of x.

Q: dy for y =loge(l-Sin( 3x) Xア

A: We use chain rule to solve this differentiation

Q: A radioactive material went through a decaying process as given in the following function f(t): f(t)…

A: If the input variable t of a function changes, its output also changes. In this problem, the…

Q: Consider the following function. f(t) = 4t + 5 Find its average rate of change over the interval [1,…

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Q: Which of the following is the average rate of change over the interval [-2, 5] for the function g(x)…

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Q: Consider the following function. g(x) = x³ – 5 Find its average rate of change over the interval…

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Q: 04: Find dy/dx for the following function:: (5) y = x³ log₂ (3 - 2x)

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Q: Given that y = (In(x))²In(), find dy using the method of logarithmic d.x differentiation. dy %3D

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Q: A pump allows water to flow into a pool at the rate of r (t) = 2t liters per minute, where t is the…

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Q: Use the Simpson's rule to estimate e**dx with n = 4

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Q: The expenential grooth of the daer populatin is estimated t be where 500DD 0.06 is the growth rate.…

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Q: Consider the following function. 1 f(x) Find its average rate of change over the interval [1, 4]. Ду…

A: Solve the function

Q: S() dt, where f is a continuous function, find f(4). (c) A 10 ft ladder rests against a vertical…

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Q: Under certain conditions, the efficiency e (in %) of an internal combustion engine is given by E =…

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Q: Find the first derivative or h'(s) of the function below using the techniques of integration: 4 h…

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Q: Integrate the following functions f(x)=Ln [sec (x)] [², 3]

A: We will see the graph of secx to judge the value of greatest integer function of secx.

Q: (i) Find dy for the function y dx xcot a using logarithmic differentiation

A: Implicit differentiation

Q: Show that an investment that pays out R dollars per year continuously for T years has a PV of R(1…

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Q: The equation y = log(x + 4) has a vertical asymptote at: %3D X =

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Q: Consider the following function. 1 f(x) = Find its average rate of change over the interval [4, 9].…

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