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Q: Test the following sequence for convergence n! クク n=1

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Q: Write the equation of a circle osculating with the curve f(x)=arctanx at the point x0=1.

A: Given: f(x)=arctanx x0=1.

Q: Use the initial condition to find the particular solution of the differential equation. dy = 4xy sin...

A: In the given question apply the variable separable method, i.e, isolate the y terms on the left side...

Q: Find the explicit formula for the general nth term of the geometric sequence described below.

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Q: Find and classify all local extrema of g(x) = (x^3) + 12(x^2) + 45x − 20.

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Q: Calculus Question

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Q: Approximate 3√2 to 6 decimal places.

A: To Approximate up to 6 decimal places.

Q: Differential Equation Initial Condition x(y + 4) + y' = 0 y = -9 when x = 0 %3D

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Q: Investigate the one-sided limits graphically: (a) lim x→2# x – 2 (b) lim x→0± x2 (c) lim In x x→0+

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Q: Solve this early. Question no 7 only. But all subparts of question 7 ( a, b, c) .

A: For (a),

Q: 7/4 2 sec(6x)dx sin(r In(x)) 13x 1

A: (b)

Q: Find the values of the function. g(x, y) = x2e2y (a) g(−2, 0) (b) g 2, ...

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Q: If three resistors with resistances R1, R2, and R3 are connected in parallel, their combined resista...

A: On simplification,

Q: Part 2 of 5 Integrate both sides and use the power rule on the right side. 5+1 y = 48. + C 5+1 6 8 +...

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Q: Find the volume of the region bounded above by the paraboloid z = 3 - x2 - y2 and below by the parab...

A: Given: To Find: The volume of the region bounded above by z=3-x2-y2 and below by z=2x2+2y2. Intro...

Q: Find the average distance from a point P(x, y) in the disk x2 + y2<=a2 to the origin.

A: Average distance is given as

Q: = 1 + 16 9. revolving (#1) Find the volume of the solid bounded by about the x-axis:

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Q: Supply the details for the proof of the Weierstrass M-Test (Corollary 6.4.5).

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Q: An oil company bores a hole 80m deep. Estimate the cost of boring if the cost is £30 for drilling th...

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Q: Show P(x) dx\ dx yp(x) = e-/ P(s) dx / (2(w)e/ P©)d« ) dx Q(x). is a articular solution of dy/dx + P...

A: We have given a first-order differential equation;

Q: ' 2 (а) f(x) dx 0. |4 5 (b) f(x) dx 7 (с) f(x) dx 9. (d) f(x) dx

A: (a) The given integral represents the area under the curve from 0 ≤ x ≤ 2. We have to find the area...

Q: Need help with this question

A: Given:

Q: Solve the equation dy /dx = k y

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Q: Find the derivative of f(x) = ln(2x^3 + x).

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Q: The graph of g(x) = cos x is shown below. Explain whether the points

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Q: If cot(r) (in Quadrant-I), find cos(2r): COS (Please enter answer accurate to 4 decimal places.)

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Q: find the domains of ƒ, g, ƒ + g, and ƒ . g ƒ(x) = √x + 1, g(x) = √x - 1

A: Now domain f is the set of all values of x for which, Now domain g is the set of all values of x fo...

Q: Verify the identity sinh(x + y) = sinh x cosh y + cosh x sinh y

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Q: please explain and show all parts

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Q: find the general solution of dy/dx + y = 2 sin x.

A: Now comparing with Now integrating factor is,

Q: Find the global extrema of the function f(x)=3x4−6x2+2 on the interval [−2,2]

A: Global extrema of a function exists at critical points or at the end points of the interval. Differe...

Q: find the limit of each rational function (a) as x→ ∞and (b) as x→ -∞. Write ∞ or -∞ where appropriat...

A: a).

Q: Find a parametric description r(t) for the following curve. The segment of the curve x = sin πy from...

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Q: Find the inverse of f(x) = Vx3 – 8 and determine its domain and range.

A: Now let Now to find inverse function, replace y by x and then solve for y in terms of x. That is,

Q: find the areas of the surfaces generated by revolvingthe curves about the given axes. x = √y, 2 ≤ y ...

A: We first find dx/dy

Q: Calculus Question

A: To Approximate

Q: Determine whether each integral is convergent ordivergent. Evaluate those that are convergent integr...

A: Given

Q: A manufacturer has modeled its yearly production function P (the monetary value of its entire produc...

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Q: In Exercises 38--45, complete the square and find the minimum or maximum value of the quadratic func...

A: Dear student, since you have posted multiple questions, as per our policy we will answer first quest...

Q: Evaluate the indefinite integral. ∫(1 -2x) 9dx

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Q: The sum to infinity of a GP is twice the sum of the first two terms. Find possible values of the com...

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Q: Use integration to find a general solution of the differential equation. (Use C for the constant of ...

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Q: Determine whether ∞∑n=1√n/2n2+n+5 is convergent.

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Q: What are the intervals of values of m and n if the function is differentiable at the origin?

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Q: For an arithmetic sequence, a5 = 21. If the common difference is 4, find: a1 = the sum of the first ...

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Q: Calculus Question

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Q: dy 9x2 + 5 dx ,2

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Q: Consider a rectangle with perimeter 28 (units). Let the width of the rectangle be w (units) and let ...

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Q: (#2) Find the area of the surface generated by revolving the curve about x-axis for f(x) = 2Vx on 3....

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Q: Let f(x) = - 9 cos (sin(x*)). Then f'(x) = Preview

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Transcribed Image Text

Let f(r) = 2 1- 1- 1-1 Find f(1/2) i. Find the domain of f ii.