If f(x) = 6 + Find f'(3). 7 x + 2 x² find f'(x).

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Q: Find by implicit differentiation. dy dx dy dx = xey = x - y

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A: Number of revolutions in 4 seconds = 1 Diameter = 4 inches

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A: The answer is in step 2.

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Q: A right circular cone has a radius of 5x+4 and a height of 3 units less. Express the volume of the…

A: A right circular cone has a radius of 5x+4 and a height of 3 units less. Express the volume of the…

Q: Carl

A: Given - First 100 natural or counting numbers,  I.e.   n=. 1,2,3,4,5.......100. Required- Sum of…

Q: Find the linearization at x = a. 9x² x-3,9=11 (Use symbolic notation and fractions where needed.)…

A: We can find the Linearization function in the below steps using the given datas.

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Q: The position of a free-falling object is given by s(t) = -4.9t² + vot + so where s(t) is measured in…

A: Note : As per our Guidelines , we can solve first three subparts .Please repost remaining subparts .

Q: 23-24 Find the local maximum and minimum values of f using both the First and Second Derivative…

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Q: 1 at [²" x ²e ³ dx = ² * e^ dx ²dx. е 2 Jo 0

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Q: from a = = 2 to x = 6. The length is y = 6x³/2 - 5

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Q: The graph below is the function f(x) -5 -4 -3 -2 -1 Find lim x 27 Find lim 5 4 3 2 1 x → 2 + -5 1…

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Q: Understand Properties of the Cross Product Find the Vector Orthogonal to Two Given Vectors Need a…

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A: let x = horizontal distance from bow of the boat to dock  let y = height of dock  = 1 m = costant…

Q: 4. Maximize the daily output in producing x₁ chairs by Process P₁ and x2 chairs by Process P₂…

A: As per our guideline we supposed to answer only first question    Daily  output   Z= x1+x2 subject…

Q: 4. Consider the function f(x)=√x-1. Find f-¹(x) and sketch the graphs of y = f(x) and y = f(x) on…

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Q: 16. f(x) = x² - 2x³; [-2,2]

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Q: 1. 2. y"" +3y" +4y +12y = 8cos2x - 16sin2x y" - y'= -2(1+x) +4e* -6e-* +96e³x

A: Disclaimer:  “Since you have asked multiple question, we will solve the first question for you. If…

Q: Find the derivative of the following: g(x) = (3 + 5x) / (x4)

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Q: HW Salve the following equat.i.912.s...... 2. Schichen Ren) dite.

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Q: Given the position function s(t) = 2+³ - 2 +² - 60++ 3₂ where it is in seconds and s is in ft, Find…

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Q: 26. √100.5

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Q: Find a polar representation for the curve whose Cartesian equation is x² + (y + 1)² = 1. 1. r = 2. r…

A: The equation of the curve in cartesian coordinates is given by x2+y+12 = 1 Relation between…

Q: Which one of the following could be the graph of the polar function r = 1 + 2 sin ? 1. 013 2. P…

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Q: c) Solve f(x)= -2√2 on the interval [-2,4x]. What points are on the graph of f? d) Use the graph…

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Q: Kindly help me solve this question,show full and clean solution thank you.. Note: Lesson about…

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Q: Find Vectors and Perform Vector Operations in R³ Let à = (3, 2, 2). Find a unit vector in the…

A: Given query is to find the unit vector.

Q: ind the linearization at x = a. 14x² x - 3' Jse symbolic notation and fractions where needed.) g(x)…

A: We have to find the linearisation

Q: Write the Parametric Equations of a Space Curve Find the vector equation that represents the curve…

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Q: Consider following ODES: 1)4y" +12y' +13y=0,2 a) Find characteristic equation ar

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Q: A constant force of 50 lb is applied at an angle of 48° to pull a handcart 41 ft across the ground.…

A: Force, F= 50 lb  Angle with base = 48°  Displacement = 41 feet

Q: in 16 35-40 Find the horizontal and vertical asymptotes of eac curve. You may want to use a graphing…

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Q: Evaluate the definite integral. 6 L₁³25 1 25+ (x+4)² dx

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Q: State the slope of the line that is parallel and line that is perpendicular A) y=-1/4(x-2)-1 B) x=5…

A: To state the slope of the line that is parallel and the line that is perpendicularto each of the…

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lime7ti + sin(6t)j + e-9tk…

A: Find the limit of each term individually

Q: Find the average value of f over the given rectangle f(x, y) = 2x²y, R has vertices (-3,0), (-3, 3),…

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Q: Find Cross Product Find the cross product u x 7 where u = 6i +8j +8k and 7 = 6i +8j +8k and 7 = (4,…

A: Topic = Vector

Q: Find the slope of the tangent line (10-x)y² = x³ at the given point (5, 5). Round your answer to two…

A: Derivate the given equation with respect to x

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x² + xy + 2x +…

A: Given functionnf(x,y)=x2+xy+2x+3y+2

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Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

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Q: Graphs of the position functions of two particles are shown, where t is measured in seconds. (Enter…

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Q: The temperature is T(x, y) = (x-1)² + y² degrees at any point (x, y) on a triangular metal plate…

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Q: Estimate using the linearization L(x) of f(x)=√√ at a = at a = 49. (Use decimal notation. Give your…

A: Given that , fx=1x Estimate 152 using the linearization Lx of fx at a=49.

Q: Draw a graph to match the description given. F(x) has a negative derivative over (-∞, -1) and (6,9)…

A: Given query is to find the graph of the function F(x).