Find the maximum value of the function f(x) = x3 - 9x2 + 15x - 5.

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A: Given query is to find the derivative of the expression.

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A: This question is related to Functions, we will solve it using given information.

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A: See the details solution in below

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A: answer is in next step

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Q: Match the differential equation with its direction field. y' = sin(10x) sin(10y) y \ 20y 0.34 15 0,1…

A: Here, to match the graph of the given differential equation: y'=sin(10x)sin(10y)

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Q: lim f(x) = c lim f(x) = 00 lim f(x) = 0+ lim f(x) = 0- x-1+ X-1- f(0) = 0,f(-1) = -f(-2) = -

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A: The objective is to flnd the derivative and slmpify.

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A: Given

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A: As per guidelines we have to solve one question

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Q: 1 1. Let f (x) = x - 5, g (x) = V5 - x and h (x) = 2x 1 a) Determine the domain of f, g and h. b)…

A: We have to find the function

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Q: dx the correct solution of this integral is:- 1+x A) 2 V5 В) Зл

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Q: 2. Vy-2+1 dy

A: ∫vn dv = vn+1n+1+C

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Q: Find the equation of the tangent line and the normal line of the curves at given point 1. y = x V16…

A: Equation of tangent line Consider y=x16+x2slope of the tangent line is dydx  at…

Q: Given: -8 17 sece = -17/15 17/8 -17/8 17/15

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Q: Use the following information to answer the next three questions. A model of a house was built using…

A: 2.5cm corresponds to 1m.

Q: x²+1, xs1 f (x) dx if f (x) = 2, raluate x> 1 A) 10 20 B 3 12 8 D 3

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

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Q: Find the interval of convergence. 00 (x + 6)" Σ (n In(n))² n=2 (Use symbolic notation and fractions…

A: The given series is: ∑n=2∞(x+6)n(n(ln(n))2 Let, an=(x+6)n(n(ln(n))2, n>1

Q: 2. Find the radius of convergence and interval of convergence of the series. (a) (-1)--1 (" – 5)*+1…

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Q: F(x)=x+1/x Find the Point of inflection, All asymptotes and all local maximums and minimums?

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Q: From the graph, determine the x- and y-intercepts and the vertical and horizontal asymptotes. (If an…

A: Explanation of the answer is as follows

Q: Find the gradient of the function at the given point. f(x, y) = 2x + 5y2 + 10, (3, 4) Vf(3, 4) еBook

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Q: ctangular storage container with an open top is to have a volume of 10 m3. The length of this base…

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Q: Use the cylindrical shell method to calculate the volume of the solid formed by rotating the graph…

A: Cylindrical shell Method : The Volume of the solid obtained by rotating about the y-axis the region…

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Q: What is the reference angle of O if 0= -137°? A 43° B 47° C 137° D 223°

A: Given query is to find references angle.

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A: Topic:- sequence and series

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Q: 1. Find the radius of convergence and interval of convergence of the series. (a) (-1)"(n+1)"a²" n=1

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Q: Find dy. y = vx + 10 dy = (Simplify your answer.)

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Q: Use the cylindrical shell method to calculate the volume of the solid formed by rotating the graph…

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Q: Find Ay and f'(x)Ax for y = f(x) = 6x°, x = 4, and Ax = 0.06. Ay = (Round to four decimal places as…

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