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A: Since you have asked multiple questions, we will solve the first question for you. If you want any…
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A: See the details solution in below
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A: Given statement :
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A: Given function is f(x)=3x2. we have to find the derivative using limit definition .
Q: Use linear approximation or differentials to estimate the following
A: Solution: Consider the given number: 1000.033 Let y = x3 = x13 Differentiating with respect to x:…
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Q: Verify the statement by showing that the derivative of the right side equals the integrand on the…
A: We write the expression using exponent and then integrate C=integrating constant
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A: Three point central differential formula for 2nd derivative f′′(x)= f(x-h)-2f(x)+f(x+h)h2 Five…
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A: To solve: ∫(x4+2)2dx
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A: The derivative of y=sech-1(lnx)+esinh-1(3x) is to be calculated by chain rule. The derivative of…
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A: We have to find
Q: Use forward difference approximation to estimate the first derivative of the following equation.…
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Q: 6. Differentiate: a. f(x) In (In (3x)) b. Find equation of the tangent line to the graph of y-e³x.…
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A: Given, no. of tent = 25 , average no. of cases=6
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Q: the derivative of y with respect to v. 1 = In ( cosh (5v)) –· tanh 2(5v) 2 derivative of y with…
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Q: = Determine the equation of the tangent line to the graph of f(x) = I x+ln x cosh (√2t - 1) dt at x…
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Q: I. Find an equation of the tangent line to the graph of 1 t cosh (t² – 1) dt - f (x) = 1 tan-t 1+ln…
A: The given function is fx=∫1+lnx1tcosht2-1tan-1t dt.
Q: Find both first partial derivative Z = 15x x/y az az ду
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Q: Explain how to simplify x³ + Vx x3/2 the integrand of integrating. dx before
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A: Follow the procedure given below and use simple intergation by parts.
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Q: Use Richardson extrapolation to estimate the first derivative of Y = sin x at * = π/4 using step…
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A: solve the following
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Q: Find the slope of the tangent line to the graph of f(x) = x· 2e*cos-1t dt at x = 1 Jln x
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Q: Compute forward difference approximations for the first derivative of the function, y = cos(sin(x)+…
A: Given is the function y=cos(sin(x))+1) Forward difference is found as:F'xi=Fxi+1-FxiΔx
Q: Find the Equation of tangent line of the function f(x) = 1+ csc(x) – /cos(x) (2n 4+v3 3' 2v3 At the…
A: Given: f(x) = 1 + csc(x) -cos(x) To determine: Equation of the tangent line at the point…
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Q: Determine the rate at which the total average number of COVID cases is increasing at x=10 tents and…
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Q: The derivative of y=esinh/x + coshVx equals Select one: 1 1 (esinh/cosh/x + Vx² -1 2х 1 O y' = e…
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Q: 2 e -8; x(0) = 1 dt
A: Solution is given below:
Q: 1. Find the derivative of g(x): Int dt 1+t Cos
A: This will solve by Leibnitz theorem
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Q: Find critical points of ƒ(x) = x² ln(x) — 1⁄x² on the interval (0, ∞).
A: Given; fx=x2lnx-12x2 ; x∈0,∞ As we know that; The critical points of the function, y=fx can be…
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Q: A curve y = /(x) have length of the curve from x 0 to x= n/2. dy Vcos(2x - 2) as its first…
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- Consider the following profit function used my mobile phone manufacturing company for the calculation of their profit. p(x)=−40000x3+240000x2+2520000x where p is the profit in Pak Rs and x is the production level in thousands of units. How many units should be produced to maximize profit? 2. Find the local extrema of following equation with the second derivative test. REFER TO IMAGE FOR EQUATION AND VALUES FOR BOTH PARTSFind first and second derivative, critical points, concavity, x and y intercepts, vert and horz asymptotes, dec/inc, and points of inflection for f(x) = ln(x)/xIt works using the second derivative [ osxs] 1. Find the maximum and minimum limits of the function for the period | f (x)=x-4sin2x+2