se the General Power Rule to find the derivative of the f y = 124x2 + 5

Q: (a) Let f (x) = Vx – 1. Use the limit definition of the derivative to find f' (x).

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Q: Determine the of : In (xy²) = x y dx

A: Derivative dydx of equation  lnxy2=xy

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Q: Solve the given differential equation by variation of parameters. y" - y' = xe*

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 19e" dx 1+…

A: Please see the answer below.

Q: Find the exact length of the curve. x- 2, y =? - 2, Osts9

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Q: Find the value of m for which the equation x' + y? – 2y + 4x –m = 0 represent a point. O NONE OF…

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Q: Let f(T) 16 Using the definition of derivative at a point, f'(3) = lim f(x)- f(3) enter I - 3 the…

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Q: (1 2. 14 Approximate | * -6) dx using 4 rectangles. It is approximatley : (If necessary, round to…

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Q: Ise implicit differentiation to find the specified derivative at the given point. ind dy at the…

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

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Q: х — 5 Limit. lim х>5 уx + 31 — 6 Does Not Exist (DNE or ±∞ O 12 0.0833 0.8333 6. II

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Q: Cost Function. Suppose the cost to manufacture a product is given by f(x,y) = x²+Vy The domain of…

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Q: Suppose that f is a function given as f(r) = - 2² +2x + 4. Simplify the expression f(x + h). f(x +…

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Q: You are given a sphere of radius 2. A hole of radius b (b < 2) is drilled through the center of the…

A: Follow the procedure given below.

Q: Find the general solution of the given linear differential equation. y"" - 2y"" + 5y" = 0

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Q: Graph the following equation by completing the table. r = 3 + 3sin0 0° 30° 90° 150° 180° 210° 270°…

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Q: Given f''(x) = 9x – 5 and f'(– 3) 5 and f( – 3) = 4. %3D a? - 5æ - 121 Find f'(x) 2 and find f(3)

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Q: Find the derivative of the function. y = x2 In x2

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Q: Below is the graph of a piecewise function f(x). y 2 1 X -6 -5 4 -3 -2 -1 -1 2 3 4 5 6 1 -2 -3 y =…

A: According to guidelines, answers for first three subparts are provided. Please repost the remaining.…

Q: Below is the graph of a piecewise function f(x). y 4 3 1 -5 14 -3 -2 -1 1 2 3 4 5 6 -1 -2 -3 y= f\x)…

A: Please see the answer below.

Q: Derivative. The derivative of e-3 h(x) e(3x2 + 13) 4 + is none of the other answers e-3(-3)(4 +…

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Q: Choose the point which shows the correct location for the polar coordinate (3, –45°). 90° 512 WIN 4…

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Q: Find the arc length of the parametric curve. x = 8 cos(t), y = 8 sin(t), z = 6t; 0 <t< T L = %3D

A: To find the arc length of the parametric curve.x=8 cost, y=8 sint, z=6t; 0≤t≤π

Q: Given the following differential equation y" - x?y = 0 After plugging in the appropriate power…

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Q: mutliple choice- I need help asap please!

A: a. limx→-4+f(x)    This limit means what is value of f(x) when we approach -4 from right(right…

Q: (a) Estimate the area under the graph of f(x) = 2 + 4x2 from x = -1 to x = 2 using three rectangles…

A: The given function is: f(x)=2+4x2; x=-1 to x=2

Q: Integration by Substitution. The rate of growth of Grass carp, one of the most common type of fish,…

A: The given data is: ∫025x+10x2+4x+4dx

Q: Find the gradient field of the function, g(x,y,z) = e 3z - In (x +2y).

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Q: Choose the point which shows the correct location for the polar coordinate (-2, – 3). 90° 2 45° I 4…

A: The point is -2,-3π4

Q: Find the domain of r(t) and the value of r(to). NOTE: Rownd your answer to two decimal places when…

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Q: Profit. Suppose the profit of a product is modelled by the function f(x) 2x3 – 30x2 + 96x + 3 The…

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Q: Electric Current. Suppose you have two electronic devices that have different currents when x = 2.…

A: The given function,   f(x)=a+3x+2x2if x&lt;24x2+6x+8if x≥2

Q: A block of mass m = 2.00 kg is attached to a spring of force constant k = 410 N/m as shown in the…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. sin (70) de…

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Q: 2. If f(x)=sqrt(x), which of the following is the simplified form of the difference quotient? *

A: Function f(x)=x

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A: To find equation of line passing through the point 2,6,−1 and perpendicular to both vectors −4,3,−5…

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Q: etermine the magnitude and direction of the vertical shift and the phase shift for the function…

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Q: Choose the rule that you would use to most efficiently find the derivative of the function. f(x) =…

A: Given f(x) = 8√x^3

Q: Flight of a Model Rocket The height (in feet) attained by a rocket t sec into flight is given by the…

A: The objectives to find when the rocket is raising and when the rocket is descending.

Q: 4 Suppose that r + y* = 82. dy (1) Use the method of implicit differentiation to find da dy dx (2)…

A: Please see the answer below.

Q: 17. Given a demand function, p=v15x + 0<x<65, find the value of x x- 65 Use R=xp that produces a…

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Q: For the function f(x) given below, evaluate lim f(x) and lim f(x). f(C) = - (x + 1) (x² + 1) (3x² –…

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Q: Profit. Suppose the profit of a product is modelled by the function f(x) = 2x3 – 21x2 + 36x + 9 The…

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Q: Find an equation of the line which is tangent to the circle r +y - dr + by – 12 = 0 at the point (5,…

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Q: 4- x2 Evaluate lim x+2 3- (x2+5)Z 5 3 O NONE OF THESE O 4

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Q: The marginal cost for a company to produce q items is given by MC(q) = 0.004q -0.7q + 635. The…

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Q: Find the area between the graph of f (x) = 10 – x² and the x-axis over the interval [-3,3]. area =…

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Q: Domain. The domain of 8/x + 8 g(x)=. 3x2 - 12x + 9 can be written: O (-0,3) U (3,8) U (8,00) O…

A: The given function is: gx=8x+83x2-12x+9 To find the domain of the function g(x).