00 4" n=1

Q: lal Compute the double integral (x – y)dA, for R: 0<x< 1, 0 <y< 2. b/ Evaluate the integral // (2y? ...

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Q: express each integral as a single integral.

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Q: Find f''(x) (second derivative) of f(x)

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Q: 9. Consider a regular tetrahedron of side length 2. a. Use vectors to find the angle 0 formed by the...

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Q: 3e^6x+7=28 If you give a decimal approximation, your answer must be accurate to at least 3 decimal p...

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Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

A: Plug x=1 for the limit  

Q: find the terms through degree 4 of the Maclaurin series of f (x). Use multiplication andsubstitution...

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Q: 3 Find the derivative of: 4/a – Type your answer without fractional or negative exponents. Use sqrt(...

A: Given function is

Q: Use linear approximation, i.e. the tangent line, to approximate V125.1 as follows: Let f(x) = Vx. Th...

A: To approximate cube root of 125.1 using linear approximation. Let f(x) = ∛x then linear approximatio...

Q: express the definite integral as an infinite series and find its value to within an error of at most...

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Q: Determine whether the following series converges conditionally, converges absolutely, or diverges.

A: Consider the series  

Q: end 3. One side of a right triangle is known to be 20 cm long and the opposite angle is measured as ...

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Q: Use Lagrange multipliers to find the points on the given surface that are closest to the origin  y^2...

A: To find the points on the given surface that are closest to the origin. We want to minimize the dist...

Q: A particle is moving with the given data. Find the position of the particle. a(t) = t2 − 3t + 6,   ...

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Q: Find d/dx (arcsin (π/x^2))

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Q: Find U from the differential equation and initial condition.

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Q: Find the points at which y=f(x)=4x−ln(2x) has a global maximum, a global minimum, and a local, non-g...

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Q: 47. Consider a 100-N weight suspended by two wires as shown in the accompanying figure. Find the mag...

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Q: Consider the equation below. f(x) = 2x3 + 3x2 − 12x (a) Find the interval on which f is increasing...

A: given function, f(x) = 2x3 + 3x2 − 12x a) interval on which f is increasing and decreasing b) local ...

Q: The figure below is the graph of a second derivative f′′. What are the x-values that are inflection ...

A: To determine the point of inflection.

Q: Write an equivalent equation using polar coordinates. Use t to represent Theta. (x-4)2 + (y+5)2 = 41

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Q: Draw a graph of the signed area represented by the integral and compute it using geometry.

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Q: Find all values of x such that ΣΗ converges. n! n=1

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Q: 4. Given the cost function C(x) =120+12x Find the marginal average cost function.

A: We find the average cost function  

Q: Find d/dt (2^tant)

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Q: A particle is moving with the given data. Find the position of the particle. a(t) = 2t + 3,    s(0)...

A: Integrating a(t), we get  

Q: The radius of a circular oil slick expands at a rate of 2 m/min. (a) How fast is the area of the oil...

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Q: Find the points at which y=f(x)=4x−ln(2x)y=f(x)=4x−ln⁡(2x) has a global maximum, a global minimum, a...

A: Given function

Q: Find dy/dx by implicit differentiation if xy − sin y = x

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A: To evaluate the below limit.

Q: (1.51)x=22 For this problem, your answer must have no decimals, it needs to be in exact form with no...

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Q: find the Taylor series centered at c and the interval on which the expansion is valid. f(x)= 1/1 − x...

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Q: Find U from the differential equation and initial condition. I'm know the answer but I don't know ho...

A: To solve below initial value problem.

Q: Can you please answer these two sub questions and show all of the steps and say the correct letter

A: To determine the value of the limit.

Q: I. %3D

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Q: solve using first principle f(x)=2x2-x

A: The first principle of derivative is : We will plug the given function in it to find f'(x).  

Q: Can you help me step by step

A: To sketch the graph of below function and determine the absolute extreme values.

Q: f(x) = 5 cos?(x) – 10 sin(x), 0 <x< 2n (a) Find the interval on which fis increasing. (Enter your an...

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Q: A box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the bo...

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Q: Find the general antiderivative of f and check your answer by differentiating. f (x) = 2x4 − 24x2 + ...

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Q: find the interval of convergence.

A: The given series is

Q: find the Maclaurin series and find the interval on which the expansion is valid. f (x) = sinh x

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Q: Sketch the graph of a function that satisfies all of the given conditions. f '(0)  =  f '(2) = ...

A: f'(0)=f'(2)=f'(4)=0 means x=0,2,4 are critical points. f'(x)&gt;0 means f(x) is increasing f'(x)&lt;...

Q: 1. Show that 2n n=0 onverges absolutely.

A: Given series: According to the ratio test:

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

A: We sketch the region using a graphing calculator The shaded region is rotating around the x=5 line ...

Q: Use differentials to approximate the quantity   √99.7

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Q: 29. Calculate the sums: 4 ( a) Σ ( Φ) Σ4 (c) k3 k=2 i=1 i=0

A: Here a=9 and n= 5 Therefore,

Q: Given the demand function D(p) = 200 – 4p, Find the Elasticity of Demand at a price of $2

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Q: f(x,y) = x2-y2 There's a two-dimensional line that goes through the point (5,4) and is parallel to t...

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Q: in exercises 37-50, find the vertex, focus, and directrix, of the parabola. then sketch the parabola...

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