Given f(x) = 9x2 4x + 11, find f'(x) using the limit definition of the derivative.

Q: dy: cos(y) + 7 Consider the integral This can be transformed into a basic integral by letting u =…

A: We can fill up the blanks as below.

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

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Q: Match the following series with the series below in which you can compare using the Limit Comparison…

A: There are more than 3 sub-questions, as per the Q&A guidelines I am answering the 1st 3…

Q: Implicit Differentiation. The demand equation for a certain brand of two-way headphones is 2x3-6xy +…

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Q: Find the differential equation corresponding to the family (x + a)? + 2y? = a?, where 'a' is the…

A: To find differential equation.

Q: b) dx xV5x2 – 4 c) dx 2 + (x - 1)2 d) . /2 2 cosx dx 1+ (sin x)²

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Q: Lena deposits $40,000 into an account that pays 6% interest per year, compounded annually. Ravi…

A: Given problem:- Lena deposits $40,000 into an account that pays 6% interest per year, compounded…

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: A ball is being inflated such that the volume is increasing at a constant rate of 100cm3/s How fast…

A: Given  and

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

A: Given;  Minimize :(x, y) =x2+y2 Constraint: x+2y-20=0.

Q: Question # 3 Driving From Edmonton To Calgary Reference Q. 15281 Kelcie drove from Edmonton Airport…

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Q: graph of the function "arccot(x)".

A: We have to draw the graph of the function "arccot(x)".

Q: f(x,y) = 3y3 – 2xy + 12y – 3x² – 8x – 16 then fy equals ух

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Q: NOTE: Each question must be submitted individually. Press 'Submit Answer' for each question before…

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

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Q: Evaluate the double integral // fO f(r, 0) dA. T/6 (4 r2 sin(0) cos(0) dr de Sketch the region R.

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Q: Vx +7 lim x-2 x2 – 4x +4

A: Given,            limx→2x+7x2-4x+4

Q: Find the exact length of the curve. 1 + x?)3/2, 0sxs2 y

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Q: Evaluate the following integrals: 1. So? 2. cos 2x dx

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Q: Water is falling on a surface, wetting a circular area that is expanding at a rate of ? s How fast…

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Q: Find the maximum rate of change of the function f(x,y) = sin(xy) at the point (0,1) and the…

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Q: The figure shows the level curves for a function f over a square region R. Approximate the integral…

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Q: Find the solution of the initial value problem y" + y = 8(t - 2), y (0) = 1, y' (0) = 2.

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Q: 5

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Q: Use variation of parameters to find the general solution of the equation  y" - 2y' + y = (e^(x))/x…

A: Use variation of parameter.

Q: 7x ス リこ1-x du=-2x dx

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Q: If f(x) = 2/x and g(x) = 4/x, find f(g(x)) and g(f(x)). f(g(x)) = g(f(x)) =

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Q: 8. Let V be the volume of the region inside the sphere r2 + y? + 2? = 6 that %3D lies above the…

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Q: – x² , Y2 = x² Y1 16 · x Rotate @ y – axis SHELL METHOD B V = 2. | (C.x² – E · a²)· dG • T: K A…

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Q: Given f(t) = 208e0.17t where 't' is in years, what is the continuous annual rate? Hint: Your answer…

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Q: Suppose the price of land in a city is given by the function P(x,y) = 227 – 10( x - - 15(y – 1)²…

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Q: Find the angle 0 (where 0° , i = 0< 180°) between the following vectors. degrees VI

A: Given query is to find the angel between the vectors.

Q: x2 - c2 x c -3

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Q: Let y=A cos x + B sinx is the solution of the differential equation

A: Follow the procedure given below.

Q: Use an iterated integral to find the area of the region. dy dx = y 6 5 4 3 2 1F -1 1 2 4

A: I am going to solve the given problem by using some simple calculus to get the required result of…

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: Use implicit differentiation to find the specified derivative at the given point. dy 7. Find at the…

A: Given that,   6x-7y+5x2y2=0 at the point -1,1

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: 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: The first term of the expansion of (j – 3n)a is –-3nª. True or False?

A: The \displaystyle \left(r+1\right)\text{th}(r+1)th term of the binomial expansion of \displaystyle…

Q: 25. A hemisphere has a radius of 3 cm. Draw complete with labels the cross section with equation of…

A: the derivation of moment of inertia is given as follow but mass is misssing.

Q: find the indefinite integral of (3lnx)/x dx

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Q: n(3n – 1) - 1+4+7+...+ (3n – 2) =

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Q: A differentiable function /has one critical number at x 6. Identify the relative extrema of f at the…

A: We need to choose correct opiton.

Q: Solve (x2 + 1) + 2xy = dy 2 dx x²+1

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Q: Part 1: Let h be the height of AWXY. Find the length of the corresponding base. | cm 14 cm Part 2:…

A: Part 1  as h is height  base is WY length of base = 14 cm

Q: Consider the lines defined by the equations {3 : a – 3 = y – 5 = z – 6 and 4(s) = (-2 – 2s, –2s,6 –…

A: Given lines are: l3: x-3=y-5=z-6 l4→s: -2-2s, -2s, 6-2s   We compare l3: x-3=y-5=z-6 or l3:…

Q: Finding an Equation of a Function  Find an equation of the function f that has the given derivative…

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Q: uestion 2 rite a chain rule formula for the following derivative. for z = f(r, s); r= g(t), s = h(t)…

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Q: Question # 10 Calculate The Average Speed Reference Q. 15261 Al and Bob, who live in North…

A: We have to find the average speed.