Given P(x) = x³ + 2x? + 4x + 8. Write P in factored form (as a function with a product of linear factors such as P(x) = (x ±a)(x ±b)(x ±c) ... ect.).

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Q: Determine convergence or divergence by any method. 00 (-1)"n n=0 Vn2 + 9 The series diverges. conver...

A: The given series,       ∑n=0∞(-1)nnn2+9

Q: Determine whether the statement is true or false. The geometric series a + ar + ar? + · ..+ ar" + .....

A: This question is related to sequence and series, we will solve it using given information.

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A: b1=2bn=bn-1+1bn-1

Q: Use the formula for the sum of a geometric series to find the sum or state that the series diverges....

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Q: Find the abs extrema as well as all values of x where they occur for the domain.   f(x)= x/12 + 1/...

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Q: Find: Wx-Wy,Wxy Way, Wxx Wyy,Wz, Wzz Wzx, WZy Wyz, Wxz W= sinh (xy-2) %3D

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Q: Find the linearization L(x) of the function at a. 9 f(x) = a = 3 - L(x) =

A: We have to find the linearization L(x) of the function at a.  We have, f(x)=9x and a = 3 

Q: + cosx r- 2xy)y' = yly + sinx] ;when x = 0, y = 1 %3D %3D

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Q: The graph of y = \xl, shifted 9 units to the left Oy = |x - 9| O y = |x| + 9 Oy = |x + 9| Oy = Ixl y...

A: If a function is given as y=f(x), then To shift it up wards by k units we use y=f(x)+k To shift it d...

Q: 4. ydx + x(Inx - Iny - 1) dy = 0, when x = 1, y = e %3D

A: I am attaching image so that you understand each and every step.

Q: Find the differential of each function. (a) y = etan(nt) dy = (b) y = V4 + In(z) dy =

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Q: rsin 28x /ī+ t² dt and If f (x) = So g (y) = ' f (x) dæ., what is g" (6s )? 168

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Q: The great Swiss mathematician Leonhard Euler sometimes reached incorrect conclusions in his pioneeri...

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Q: Find the indefinite integral in each of the following. Show all necessary solutions. (2x – 3)dx 2. V...

A: Given :∫(2x-3)dxx2+2x+2

Q: Find A) The x values of all points where the function over the given interval has any relative extre...

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Q: Find the Taylor series generated by fat x = a. f(x) = 9*, a = 3 Choose the correct answer below. 729...

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Q: integral f theta^2  cos 3(theta)   d theta

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Q: 3. x/1+ x6

A: here you have mentioned to solve this integral by Integration By Parts.  

Q: For the function, find the relative maxima, relative minima, and horizontal points of inflection. (I...

A: Given:- y=x3/3 +x2 -24x+25  To find:- Relative maxima Relative minima  Horizontal points of inflect...

Q: Use substitution to find the Taylor series at x = 0 of the function 15 sin (-x). ... What is the gen...

A: This question is based on Taylor series expansion of sinx .

Q: Use a calculator to solve the following equation for 0 on the interval (0, T). 1 cot (0) Find all th...

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Q: for a sum of $8000 to double in 12 years and 9 months, what must be the rate of interest compounded ...

A: The solution is given in the next step.

Q: Evaluate the integral. Show all your work. 3 sin? xcos' xdx

A: Given that: ∫sin2x.cos3xdx

Q: The great Swiss mathematician Leonhard Euler sometimes reached incorrect conclusions in his pioneeri...

A: Euler deduce that 12=1-1+1-1+1-1+......and-1=1+2+4+8+......by substituing x=-1 and x=2 in the formul...

Q: Find the eguation of the tangent Line to the CUrre y= Cos( Son)e) at the Point mith coordinates (T) ...

A: This question is related to application of derivatives.

Q: # 00 R #3 The temperature, H, in degrees Fahrenheit (°F), of a can of soda that is put into a refrig...

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Q: Evalvate the limit lim Cos x In(x- TT Xーつク nピ-e)

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Q: 4. Given that ai = 3, > ak = 1 1 and ) bk = 5, it follows that k=1 k=1 Σ Eak and > 2ak + bk k=2 k=1 ...

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Q: Show that the equation has exactly one real root. 3x + cos(x) = 0

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Q: Let f(x) = tan '(sin(2a)) f'(r)

A: Given :f(x)=tan-1(sin(2x))

Q: A) What is the point of intersection between the plane x – 2 y +3 z +1 = 0 and the line r = + t? B)...

A: Use substitution method

Q: The following is the graph of a function f(x).

A: Given that: Graph of f(x)

Q: Consider the surface given z = f(x, y) = e*#v. Then, af 1. af 2. dy 3. The equation of the tangent p...

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Q: Given 8:[E!,i]> SR be a fanction H ベto if x-0 (5 cefined by gGs) = 2 Cosl Deter mine whether the fel...

A: This question is related to bounded variation . solve in step 2.

Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

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Q: Determine whether the improper integral converges and, if so, evaluate it. (Use decimal notation. Gi...

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Q: S( z +1) e2² dz

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Q: Evaluate the integral. Show all your work. tan’ x sec xdx 3

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Q: y" – 2y' + 2y = 0, y(0) = 1, y (T) = 1 -

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Q: Find the x vals of all pnts where the function over the given interval has any relative extrema & fi...

A: The given function,    f(x)=7sinπx ; 0<x<2π

Q: 25. | tan'x sec'x dx

A: Given query is to find integral.

Q: [sin (21x) dx

A: ∫sin4(21x)dx Note- sin2x=1-cos(2x)2 and cos2x=1+cos(2x)2

Q: Given sets X and Y. For x EX and for y E Y, we form the Cartesian produc X x Y := {(x, y) : x E X, y...

A: Given that: X={-1, 1}Y={-2, 0, 2}

Q: Find the abs extrema as well as all values of x where they occur for the domain.   f(x)= x/12 + 1/...

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Q: Find the missing values assuming continuously compounded interest. (Round your answers to two decima...

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Q: Gravel is being dumped from a conveyor belt at a rate of 25 ft3/min, and its coarseness is such that...

A: This question is related to cone and rate of change, we will solve it using given information given ...

Q: 7. уз y =/x³ – 1/1+ vx

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