Find the derivative. y = log (9x) y'=0

Q: Find y' and then find the slope of the tangent line at z = -0.4. Round the slope to 1 decimal place.…

A: Given: y=(x3+5x+7)3 at x=0.4

Q: Find the derivative of P=155e^0.18t

A: p=155e0.18td dt(et)=et

Q: Find y' and then find the slope of the tangent line at x = 0.4. Round the slope to 1 decimal place.…

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Q: ind the critical points, domain endpoints, and local extreme values (absolute and local) for the…

A: Please see the below picture for detailed solution.

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Q: 2)Find the first and second derivative of the function for x greater than zero. f(x)= ln(x) f '(x)…

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Q: Find the point at which the line x(t) 5 + 2t y(t) 3-t z(t) = - 7 - 6t Question Help: Video…

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Q: 1. Determine the derivatives using shortcuts of each of the following functions. Do NOT simplify a.…

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Q: r(t) = (5t, 3 cos(t), 3 sin(t)), -9 st≤9 ep 1 For r(t) = (f(t), g(t), h(t)), the length of the arc…

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Q: 3. Show that there are no tangents to the curve f(x) = 9x³ + 2x² that are parallel to the line 2y +…

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Q: Find the differential of the function f(x, y) = 2xe³y at the point (5, 3) using Ax = -0.2 and…

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Q: Graph the function.. y=4 cot 2xx- To draw the graph, plot two consecutive asymptotes. Between those…

A: Given: y=4cot2πx-π2+2

Q: Let A be an m x n matrix and let B be the RREF of A. Which of the following is/are true? (select all…

A: Given that, let A be an m×n matrix and let B be the RREF of A. We have to find the true statement.

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A: Given:  s(x) : The amount of the vinyl LP records sold in millions x     : year since 2005. (This…

Q: Let f(x) = x² - 6x and g(x) = 4 - x². ▪ (f+g)(4) = (f-g) (4) = (fg)(4) = (4) (4)

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Q: Use a tangent plane to approximate the value of the following function at the point (4.1, 13.9):…

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Q: A vertical force of 30 pounds is applied to the end of a one-foot lever that is attached to an axle…

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Q: Find the value of b for which the given equation is exact. (ye4xy + x) + bxe4xyy' = 0 b: II Solve it…

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Q: . Sketch the graph of the function f(x) with the function. = 2x+3 x-5 Describe its features and…

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Q: Find the derivative of f(x)) at x = 3 if f(3) = 2, g(3) = = 5, f'(3) = 7, and g'(3) = 4.

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Q: Sand poured on the ground at the rate of 3 ft/min forms a conical pile whose height is one third the…

A: Sand poured on the ground at the rate of 3 ft/min forms a conical pile whose height is one third the…

Q: 18. g(x) = x² + 10x + 23 20. f(x) = x² + 6x - 2 22. f(x) = x² + 36 24. f(y) = 81y4 – 625 30. f(x) =…

A: To Find : Zeroes of given polynomial

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. x3 (6x4 + 5)³…

A: The given integral is: I=∫x36x4+53dx    ...1   Use the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: Solve the following for x. Give an exact answer using the log function. 3x 3. (532-6) = 27 X =

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Q: Find the first five terms of the sequence of partial 1 ( ( − 1)" n sums for Σ 13 n=1 Enter the exact…

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Q: f(x) = In (xe√x +9) f'(x) =

A: Given query is to find the derivative.

Q: Consider the following.   ∞ 9 n(n + 3)   n = 1  (a) Find the sum of the series. (Round your answer…

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Q: Find the derivative of the following function. dy dx y: - 3 (4x5 + 5)² 1

A: Given: y=-34x5+52

Q: Science The relationship between the number of decibels 3 and the intensity of a sound I in watts…

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Q: What is the period of the function f (x) = 3 cos 6x O T 3 O O O 6T 07/12 O 7/3

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Q: Find the tangent plane to the equation z = 6y cos(4x - 2y) at the point (2, 4, 24). Question Help:…

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Q: Given z=-18-6x² is a curve in the xz-plane. If the equation of the surface generated by revolving…

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Q: 1) Find the first and second derivative of the function where k is a non-zero constant. f(x)=e^kx…

A: Note:- These are multiple questions and we can do maximum 1 question so i am doing first question…

Q: Let z = f(x, y) = 3 sin (exy). (Use symbolic notation and fractions where needed.) дz дх дz ду = =…

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Q: 9x est dx dx = +C

A: Given

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Q: Justify why = by dragging the statements in the left column into the right column and putting them…

A: Given: limn→∞-3n5n2+1

Q: Determine whether the series is convergent or divergent. sin² n n5 +2 n = 1 O convergent O divergent…

A: We have to check whether given series is convergent or divergent.

Q: A) f(x)=12+9x-3x²-x³ [-3,1]

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Q: Translate the given statement into a linear equation in the form ax + by = c using the indicated…

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Q: Suppose the temperature in degrees Celsius over a 10-hour period is given by T(t)= -12 + 5t+31. a)…

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Q: Find an equation of the tangent line to the curve at the given point. Illustrate by graphing the…

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Q: The cost to produce a certain product depends on 3 main variables, denoted p, q, and r. If C(p, q,…

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Q: 32. f(x)

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: axis of symmetry is x =-2 the y-intercept is -12 what is the vertex of the parabola

A: Question -   axis of symmetry is x = - 2 the y-intercept is -12. what is the vertex of the parabola

Q: Evaluate the integral by applying the following theorems and the power rule appropriately. Suppose…

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Q: Find the domain of vector r(t) and find the limit as t goes to 0 of vector r(t)

A: According to question,Given vector,rt = 2-t, et-1t, lnt+1

Q: Find the equation of the tangent line to the graph of the given function at the given value of x.…

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Q: n #5: Express the parametric curve x-y-+7 in the Cartesian form y = f(x). Enter the function f(x)…

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Q: Q2. Find the equation of the line passing through (3,4) and (5,0).

A: Given query is to find the equation of the line.