a power series representation (Give yo power series representation centered at x 8 + X f(x) 1 -X f(x) = 8 + n=1 Determine the interval of convergence. (Enter your answer using interval notation.)

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Q: X-9 At what x- values is f(x) not differentiable?

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Q: Find an equation of the sphere satisfying the ff. a. The vertices of a cube are on the sphere, side ...

A: Find your answer below I have solved two because these questions are not related to each according t...

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A: Given  f(t)=10t meter/second

Q: SAQ 1: If f(x) = x² + 5x – 3, show analytically that lim f(x) = f(2). X-2

A: Topic = Limits As per guidelines , At a  time only one question can be answered out of different mul...

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Q: Let T = x²y - xys + 6x, where x = r cos 0 and y = r sin 6. Use the chain rule to find dT/00.

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Q: ... What is the value found using the linear approximation? Convert any degree measures to radians. ...

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Q: 2. For g(x) = cos³ (2x - 1), find g' (#). %3D –

A: topic - derivative of a function

Q: [6 sin x – 7 sec? x] dx +C - %|

A: Find your answer below 

Q: a1/ Find the missing term in the following table using interpolation: 2 4 y: 3 81 ...

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Q: Find the volume of the solid. y=9-x2, y=0, about the x-axis

A: y=9-x2, y=0, about the x-axis here  put y=0 0=9-x2 x = +3 or -3 volume V = ∫-33 2πxydx V =∫-33 2πx(9...

Q: 10+ 8- 4+ 2+ 2 4 6 10 8. 6

A: Of the 2 graphs, find the largest open interval on which f is increasing and decreasing. Then find t...

Q: 18) Find a + b, 2a + 3b, |a|,  and |a - b|.  a = 2i - 4j + 4k, b = 2j - k

A: The objective is to Find a + b, 2a + 3b, |a|, and |a - b|.

Q: Find the critical numbers of f (if any), find the open interval(s) on which the function is increasi...

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Q: Find length of curve y= 2/3 (1+x^2)^3/2,  0<= x<=1

A: Let's find. 

Q: 2.6 Find the inverse of the following matrices. A. 123 В. | -| 3 3 -2 C. Use the found in A. to solc...

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Q: Plot the vector field F = (y,sinx) using the viewing window (-2pi,2pi)x(-2pi,2pi

A: Given:       F = ( y , sin(x) )      viewing window :  (-2pi  ,  2pi)

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does...

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Q: Let A E R²x2 be special orthogonal. Show that there exists & E [0,27t) such that COS O - sin o A = s...

A: According to question,Given Matrix,A = cos ϑ-sin ϑsin ϑcos ϑ

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Q: The widths (in meters) of a kidney-shaped swimming pool were measured at 4-meter intervals as indica...

A: We have to calculate area using Mid point Rule.

Q: ry" +xy'-4y 2r y"-2y' +y -3-x+x. y(0) =-2, y(0) 1.

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Q: Directions: Evaluate the following limits. 1. lim(In (2x – 9)) 2. lim (tan-)

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Q: Explain why the function is differentiable at the given point. 4x f(x, y) = y + sin (0, 6) The parti...

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Q: Evaluate the following integral using partial fractions: 1 (x² + 1)(x² + 4)

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Q: Evaluate the following integral where S is the closed surface bounded by the graphs of x = 2, z = 9 ...

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Q: Consider the equation and the given point. f(x) = (x - 3)(x? + 6), (1, -14) (a) Find an equation of ...

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Q: sin -x/3) dx xp. Evaluate the integral| 19-x sin(x/3)dx -1 dp, %3D X-6/ 9-X

A: We have to find integral

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Q: 2 Given a circle with radius, r, and a sector with area, A, formed by angle of 0 radians. Find a for...

A: Here we have to find the area of the sector.

Q: Find the derivative of the following including trigonometric identitier functions. Show complete sol...

A: h = sin-x here we apply chain rule dh/dx = (1/2sin-x)*(1/1-x2) dh/dx = 1/2sin-x*1-x2   y = k2sin-(x/...

Q: (d) lim sinh(x) X+ -00 (e) lim sech(x) X+ 00 (f) lim coth(x) X+ 00 (9) lim coth(x) (h) lim coth(x) (...

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Q: Evaluate ]] 6z°dxdydz , where V – is the region below 4x+ y+2z=10 in the | V first octont

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Q: Find the present value of an ordinary annuity which has payments of $600 per year for 12 years at 7%...

A: To find the present value of annuity

Q: Find the linear approximation of f(x)=sin(x) at x=2π3 and use it to approximate sin(121∘). Give you...

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Q: 1. The number of accidents (y) in millions for drivers of age (x) was predicted by an insurance comp...

A: Solution of question is written in below steps.

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Q: mg U = k E (1 -e ktlm). At what rate is the velocity is changing at time 0? At t = 6? What do your a...

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Q: Finding the Domain and Range of a Function: f (x) = Vx - 3x + 2 Domain: all x# ±2 Domain: all x# ±3 ...

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Q: x²-2x -3 (15) Rational function r(x) = has a vertical asymptote at x = 4. The asymptotic behavior X-...

A: Solve the following

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Q: the coordinates or the point on parale x = 5t, y = 9 – t, z = 8 + 8t Y, z) = ( 0, 9, 8 ],) 5, – 1, 8...

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Q: The flow of blood in a blood vessel is faster toward the center of the vessel and slower toward the ...

A: We have to find the rate of change in velocity of blood.

Q: Find dy/dx by implicit differentiation cos(x) sin(y) = x2 − 3y

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Q: Calculate the values of the following serics. 4+ 2" a ) Σ b) (-2)" 3n en n=0 n=1 Hint: write it as a...

A: Given: a)∑n=0∞4+2n3nb)∑n=1∞(-2)nen

Q: *B: %3D A 3. B[ 2 3

A: Find your answer below