Find the derivative of f(x) = ex - x3 + ln(x)

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A: To compute the directional derivative of the following function at the given point P in the…

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Q: Identify the level curve of the function g(x, y) = xy − 9x for c = 8. Write your answer in terms of…

A: given function g(x,y)=xy-9xwe need to identify the level curve for C=8

Q: Consider the function f(x) = = Find the slope of the secant line on this interval. 8√x +9 on the…

A: Given query is to find the slope of the secant and the value of x.

Q: Problem 2: Given the differential equation (xy − e¯x) dx + xdy = 0: a. Identify whether the…

A: Given differential equation:- (xy-e-x)dx+xdy=0

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A: Given  that, The heights of 400 students are approximately normally distributed with a mean of 174.5…

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Q: 1 = and find 1 Use linear approximation, i.e. the tangent line, to approximate as follows: Let f(x)…

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Q: Find the PS of dy dx ex sin y + e cos x ex cos y + ey sin x y(0) = π/2

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Q: Solve for the relative min value of y = 14x - 4 In (3x)

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Q: f(x) = x³ - 6x² + 4, x ≥ −1. d the minimum value of the function: ve where the minimum occurs. Type…

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Q: find ab if |al=5 161=7 and the angle between a and 6 is 1/9 radians 9₁6=1

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Q: Solve for the min value of f(x) = 5x² + 4x + 6

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Q: Part A: Find all values of x in the interval [0, 2π] that satisfy the equation. (Enter your answers…

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Q: For the function defined below, find all values of x and y such that both fx (x,y) = 0 and fy (x,y)…

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Q: Solve the following initial-value problem: y'+ (tan x)y=cos²x; y(0) = − 1 Oy=2(cos.x)(sin.x+1)-3 O…

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Q: Let f(z) —7cosz —6tanz f'(x) = f' 4TT 3 J

A: f(x)=7cos(x)-6tan(x)

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Q: :-√√3x lim x-3 27-x3

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Problem 3: Given the differential equation (ex−y + 1) dx − (e³ + ex−y) dy = 0: - a. Identify whether…

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Q: a) 2₂x5e-x² dx b) 510 cos(5t) dt

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