Sketch the integration region of the fallowing integration aud evaluate the integral JS (xy-2xy) dl y dx -2

Q: Consider the function f(x) = The value of f'(0) is: (x+ 1)2

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Q: Find the volume of the solid generated when the plane region is bounded by: x= y^2 and x+y= 2 is…

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Q: se' z = st. Solve for dz IV. Let w = x ln x + 2xyz + 5z°y, x = tan s + r, y =

A: Given problem:- Let w = xln(x3) + 2xyz + 5z3y, x = tan s + r, y = (set )/r, z = st Solve for partial…

Q: 5. The cost C (in dollars) of producing x units of a product is given by the following. C= 3Vx + 400…

A: Use derivative for finding the marginal cost .

Q: (sec2 x + csc2 x)cos2 x dx

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Q: Determine the antiderivatives of the following functions: 1. V1-4x² dx 12 2. 1+9x² dx 3. 4+(x-3)² dx

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Q: Test the given geometric series for convergence or divergence. If it converges, find its sum. 4 16…

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Q: Evaluate the limit x2+19x- 48 lim x--3 x2-11x+42 O a. а. 0 b. None of these. С. 13 11 d. 00 е. 13 17

A: Limits

Q: 6. Calculate the locations of maximums and minimums of the following functions: Show work in…

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Q: 13. Identify the polar coordinates of the point with the given rectangular coordinates. (-6, - 63) 7…

A: Topic = Algebra

Q: 20. Find f2x/(5x-3)dx

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Q: Use the graph to find the following limits and function value for each value of a. i) lim f(x) i)…

A: Given query is to find indicated limits.

Q: x-1 lim エ→1VX -1

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Q: 1. The figure shows the graph of a function f (x) with domain 0 < x < 3. Which of the following…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 2. A boat is being pulled into a dock by a rope attached to it and passing through a pulley on the…

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Q: Determine the antiderivatives of the following functions: 1. V36-x² dx 2. J 9x2+36dx 1 S- x In…

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Q: ² f r' రy2 Əx? dy? dz? x² + y? + z²

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Q: Consider the function  f(x,y,z) = sqrt(xyz)   what is the gradient of F?   Determine the…

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Q: For each function, determine the long run behavior x2 + 1 has Select an answer x2 + 2 x3 + 1 has…

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Q: Evaluate the limit In(x) lim x+1 x- 15x+ 14

A: Given,  limx→1ln(x)x2-15x+14

Q: Decide from the graph whether a limit exists If a limit exists, find its value. lim F(x) X→1 What is…

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Q: Differentiate the function. t(t? + 1)4 n 8t – 1 g(t) = In %3D

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Q: 7. Find the price per unit p that produces the maximum profit given

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Q: Find the particular solution to the differential equation d²y = 4e* + 3x² given y = -3 dx2 and = 3…

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Q: Calculate the area of the region limited by the equation r = 2+2cos φ

A: Given:  r = 2+2cos φ.

Q: Find the Taylor polynomials P,,P,, P2, P3, and P, for f(x) = ln(x³) centered at c = 1.

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Q: demand for a certain type of cosmetic is given by p= 540 - x, where p is the price in dollars when x…

A: Given query is to find the revenue function and maximum revenue.

Q: The Laplace transform of ,-2r ,3(1-t) dt e is Select one: 1 (s + 3)(s – 2) 1 (s + 3)(s + 2) 1 (s –…

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Q: b). Using gamma function, evaluate Sx6 e-2x dx

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Q: 2. Find the volume of the solid bounded by z = 0, x = y2,z= 3, x = 4 - y2. (graph the solid)

A: Given problem:- Find the volume of the solid bounded by z = 0, x = y2 ,z= 3, x = 4 - y2

Q: For an arithmetic sequence, a17 = 2. If the common difference is 5, find: aj = the sum of the first…

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Q: Find the third Taylor polynomial for f(x) = sin(2x), expanded about c = n/6. %3D

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Q: Given the geometric sequence 33, 44/5, 176/75 find an explicit formula for an and find a12 please…

A: Given GP is 33,44/5,176/75 We have to find the explicit formula for an and then have to find a12.

Q: Find aly if and of to

A: Differentiation

Q: The volume of the solid of revolution obtained by revolving the region enclosed by the x-axis and…

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Q: 4. State whether the given measurements determine zero, one, or two triangles. A = 43° a = 8 b= 10…

A: We will use Sine /Cosine rule to find the triangle.

Q: Step 2: Step 3: Sten 4:

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Q: Find the number(s) b such that the average value of f(x): f(x) = 6x2 42x + 70 on the interval (0, 6…

A: To find the value b.

Q: 27. f(1) = 1 + e*" 28. f(1) = r² - eW + 5 29. f(1) = (1 + e?)2 30. f(1) = (e' – e")? 31. f(1) = 412…

A: Given÷

Q: scientific

A: We will find the 28th term

Q: Evaluate the integral. (Use C for the constant of integration.) | 8 sin (x) cos°(x) dx

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Q: 6. Vector, scalar or meaningless? Explain. ») (ä - 5) + (7 - E) b) (å x 5) – (¿ x đ) c) dlã x )

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Q: 13. The distance s, in metres, fallen by a skydiver t seconds after jumping (and 160(:1 – 1 + e-5.…

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Q: Bolyng bernoulli differential equation

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Q: 1 - 2 9) Ans. r = 1

A: Given the matrix . We need to find it's rank. As we know that rank of a matrix is number of non zero…

Q: he fox population in a certain region has an annual growth rate of 8 percent per year. It is…

A: To find the function models of population.

Q: n-1 Consider the series n=1 Find the sum. If it doesn't exist enter "DNE"

A: We have to find out the sum

Q: Express the vector - 6i + 6j + 7k as a product of its length and direction. - 6i + 6j + 7k…

A: For a given vector v→, length of the vector is denoted by v→  and direction vector is obtained by…

Q: Assume Za is opposite side a, 2B is opposite side b, and Zy is opposite side c. Solve triangle ABC…

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Q: 2 2 y-3y 2+y =1+2x°

A: The solution is given in the next step.