Given f(x)=x+2Jx. Use the definition of derivative to find f'(x).

Q: Find the absolute maximum and minimum values of the function on the given set R. f(x,y)=(x-2)*+y'; R...

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Q: Use implicit differentiation to find y', and then evaluate y' for xy-4x° + 16 = 0 at the point (2,4)...

A: The objective is to find y' and y' at (2, 4).

Q: F(x)= (x^2 + 5) /(x-2) find where the function is increasing/decreasing and has local extrema if any...

A: Question- F(x)= (x^2 + 5) /(x-2) find where the function is increasing/decreasing and has local extr...

Q: Between 0°C and 30°C, the volume V ( in cubic centimeters) of 1 kg of water at a temperature T is gi...

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Q: 11 1 Calculate the following limit. Let an = and bn = Vn + In (n) (Give an exact answer. Use symboli...

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Q: Let u = (-3,4) and v = (2, –5). Find (a) the component form of the vector 3u – 4v and (b) its magnit...

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Q: 5. Use the definition of the Taylor Series to find the Taylor Series for the function f(a) 2- cos(x)...

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Q: Ihe Water Level Was 6m at belining-QFindthe IWater Levet a any Zime QFind the 2ime when the tank emp...

A: This question can be solved by applying the equation of continuity and integration.

Q: A radio active element (x) has a half-life of 38 hours. Initially, X = X0 %3D . Determine the amount...

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Q: Iff is a one-to-one function with f(9) = 3 and f'(9) = 2, find the equation of the line tangent to y...

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Q: х — х* - 3х - 2 X | dx x* - x'+ 4x – 4x 3

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Q: Solve for x. = x + x² + x' + ., ]x| < 1 ... 11 + 11x (Use symbolic notation and fractions where need...

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Q: C(x) = 0.01x-0.3x + 9x gives the cost, in thousands of dollars, to produce x thousand items. (a) Fin...

A: (a).C(x)=0.01x30.03x2+9xC'(x)=0.03x2-0.6x+9 (b)C'(0)=9    

Q: 7. Let C be the curve y = 3x for 0 <x S 1. 0.5 Find the surface area of revolution of C about the x-...

A: Given: y=3x3 for 0≤x≤1

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: Use implicit differentiation to find y' and then evaluate y' at (- 1,1). x In y + 3y = 3x³ y' = D y'...

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Q: Solve the given system of differential equations by systematic elimination. (D2 + 2)x - -2x + (D2 + ...

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Q: find the derivate of y=x^3(5^-x)

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Q: A tank initially contains 180 L of pure water. A mixture containing a concentration of y g/L of salt...

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Q: A company that produces ribbon has found that the marginal cost of producing x yards of tancy ribbon...

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Q: . Find (f o g)(x) for the pair of functions. f (x) = x – 3 g(x) = 6x + 8 (fo g)(x) =

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Q: Activity on ELLIPSE Directions: Determine the equation of the ellipse in Standard Form and General F...

A: As per bartleby guidelines we only give first question answers. 

Q: Evaluate the integral: el/z dx -1

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Q: 3. The diagram shows a cuboid that is formed by bending a long wire of length 336 cm?.

A: Given : h = 4(21-x) x = 12.92 cm  

Q: Let f(x) = Vx. Which of the following is the Taylor polynomial of degree 1 for f(x) centred at a = 1...

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Q: Find the equation(s) of the tangent line(s) at the point(s) on the graph of the equation y -xy + 12 ...

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. g(t) = |5t...

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Q: 7. The population of a certain city in Northern Ontario can be modeled by P(t) = in years from 2010....

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Q: A bacterial population is 2000 at time tea equals zero, and it’s rate of growth is 1000×2^t bacteria...

A: We have to find the population after one hour

Q: Use Simpson's Rule with n = 4 to estimate the average value of %3D f(x) = 2ª on the interval [1, 9].

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Q: n? Write an inequlity comparing n5 1 for n > 1. n3 - 4 with + 4 (Express numbers in exact form. Use ...

A: Solved below

Q: dx

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Q: Solve the given differential equation. x2y" – 6y = 0 y(x)

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Q: Tunorial ExSICISS And any Intercepts. 49x Step 1 To And the y-Intercepts, letx be zero and solve for...

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Q: f (x) = x² + 4x

A: Follow the odd, even function rule.

Q: Given f(x, y) = a° + 3xy“ – 2y°, find

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Q: 1. Assume the graph pictured below is the graph of a function (x). Use this graph to answer the ques...

A: Solution of question is written in below steps.

Q: Use L'Hopitals's rule to find lim (2 – x)tan(ra/2). (Tx x→1

A: We use elogu=u and l- hospital rules in this question to find limit.

Q: e the graph to state the absolute and local maximum and minimum values of the function. (Enter your ...

A: Given query is to find absolute maximum and minimum value of the function.

Q: The gross domestic product (GDP; in trillions of dollars) for Country A and Country B can be approxi...

A: The gross domestic product (GDP in trillions of dollars) for Country A and Country B can be approxim...

Q: lim ("V52"-1 52n-1

A: F

Q: 1.5 (0,7, 0.2y f0.7,0.2) O5 ー15 - O.5 0.5 1.5 -0.57 (-1,2,-1) -15 -2

A: The f' is undefined where the graph of f has shard edges that is at x=-0.7,0,0.7,1 f(x) has sharp ed...

Q: For the demand equation, use implice deferentiation to find dp/de. 18p + 4p +3-x

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

Q: Find the general solution of the differential equation. 1 こ

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Q: Find the equation(s) of the tangent line(s) to the graph of 9 x – 4 xy + 16 y = %3 25 at points wher...

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Q: 2. S(2 – 3e*) dx

A: According to given , only 2 solved .Given :∫2-3exdx

Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

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Q: 20x + 1125 The average cost for a company to produce x units of a product is given by the function A...

A: Given problem:- The average cost for a company to produce x units of a product is given by the funct...

Q: Verify that the series n4 + 1 n=1 satisfies the conditions of the Integral Test, then use the Integr...

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Q: x +1 limx→∞ х3 — 1

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