Solve the components of the given equation of conic sections and sketch the graph: a. x2 + y2 – 10x – 10y + 25 = 0 b. x = -y2 + 1

Q: Evaluate: lim 2 tan (r – 2) sin(x – 2)ª

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Q: Watch the video on partial fractions decomposition with a repeated quadratic factor before answering...

A: Given,1x2+3x2+221x2+22x2+3=Ax+Bx2+3+Cx+Dx2+2+Ex+Fx2+221x2+22x2+3=(Ax+B)x2+22(x2+3)x2+22+Cx+Dx2+3(x2+...

Q: A vertical wall makes an angle of radian measure źr with the ground. A ladder of length 20 ft is lea...

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Q: Find the Maclaurin polynomials of orders n = 0,1, 2, 3, and 4 and then find the nth Maclaurin polyno...

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Q: x + px+6, x22 (b) Functions f(x)={ x-2, x<2 (4– 2x, x22 and g(x)={ are 9-x, x<2 continuous at x= 2. ...

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Q: Find the nth Maclaurin polynomial for the function. f(x) = eX, n= 5 Ps(x) = ||

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Q: Explain briefly why the function f(x) = e" – x³ – 8 eIntermediate Value Theorem. Use IVT to show tha...

A: We will use the Intermediate value theorem. 

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: Explanation of the answer is as follows

Q: Question 14 3r dx be given. If u=e+2, then the resulting integral is ex+2 du. Compute f (3). Let A n...

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Q: 2x2 - 1 6 y = х - 2

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: A cylinder is inscribed in a cone as shown in the figure. The radius of the cone is 3 inches and the...

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Q: -1-0. 1) Write f(x). 3) Find D & R 4) Sketch f(-3t+3) 5)Find D & R for the function of point 4 2)Fin...

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Q: 2. Find the equation of the tangent line to the curve at the given point by eliminating the paramete...

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Q: d) If the coefficients are rounded off of - 0.31x + 2.73 find the absolute and relative in y x + 0.3...

A: Find absolute and relative in y

Q: 4. Find the area enclosed by the curve: x=t2 – 2t, y= vt and the y-axis

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Q: Q2.) Graph the two equations x+y= 0 , and y = - (x -1)? ( 10 pt and find the points in which the gra...

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Q: 6. Consider -dx. Transforming the integrand, the result will be k , where k is a constant. What is u...

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Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

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Q: x³dx (v²– 1)7 3.

A: In this question we have to find the value of Integration.

Q: Situation 3: Find the area enclosed by the graph of the curve x^2+8y^2+16 = 0, the x-axis, the y-axi...

A: according to our guidelines we can answer only three subparts, or rest can be reposted.

Q: An open box is to be constructed so that the length of the base is 3 times larger than the width of ...

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Q: 5. Find the centroid of the solid formed by revolving the area between the curves: y? = x and y = 2 ...

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Q: Determine whether the alternating series converges. 5ln k k=3 O The series diverges. O The series co...

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Q: dx The integral can be re-written as (A) (2-2 V1-m ) lim m- 00 B none of the choices lim (-2+2 /1-m ...

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Q: The number of yeast cells in a laboratory culture increases rapidly initially but levels off eventua...

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Q: Question 20 tan (In |4x2|) -dx is b ln Jcos (In |(2x) D[+c.• The integral of What is b?

A: I =∫ tan(ln|4x2|)x dxln|4x2| = t14x2 ddx(4x2) dx = dt8x4x2 dx = dtdxx=dt2Hence, Integral becomes;I=1...

Q: A closed right circular cylindrical tank is to have a capacity of 128??3. Find the dimensions of the...

A: Volume of cylindrical tank is 128π m3.

Q: Determine whether the alternating series converges. 51n k (-1 k k=3 O The series diverges. O The ser...

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Q: Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the or...

A: topic- logarithmic equations

Q: cot (2x) Evaluate the integral - * xp- V cor (2x) - 15 csc (2x) (A) -Arcsec +C 4 (B -- In cot (2x) +...

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Q: sin(In x) In(sin x)" Use Squeeze Theorem to evaluate lim

A: limx→ 0+sinlnxlnsinx

Q: Find the nth Maclaurin polynomial for the function. 4x - 1 f(x) n = 4 x + 1 P4(x) = %3D

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Q: Use the Shell Method to compute the volume of the solid obtained by rotating the region above the x-...

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Q: Consider the following sequence: +00 4" {a,} = an+1 to show that the given sequence {a,} is strictly...

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Q: 5x² tan( 3x³) dx. If u= 3x³, then the resulting integral is Jf(u) du. Find . 5/2 A 18 5/2 18 5 18 D ...

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Q: 1g graph, clearly showinng any pointS where the graph crosses the nate axes: + 7x + 10r

A: We will draw the graph. 

Q: Solve the following Sturm-Liouville problem by finding the positive eigenvalues and its correspondin...

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 6 Pa(x) =

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Q: nt) Detemine coefficients a and b such that p(x) x + ax +b satisfies p(1) = 0 and p(1) = -4. %3D %3D...

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Q: 2. Σ E(4x – 8)" n= 1

A: The given power series,        ∑n=1∞2nn4x-8n

Q: Determine whether the alternating series coniverges. 5ln k k k=3 O The series diverges. O The series...

A: Here, the given series is: ∑k=3∞(-1)k5 ln kk which is the alternating series with bk=5 ln kk; k≥3

Q: An agriculturist wanted to plant seven different organic crops in a small field. To properly study t...

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Q: Is the series convergent or divergent? Prove in no more than two sentences. +oo - n T1-n n=1

A: ∑n=1∞ (πnπ-1n3)(series with increasing terms)limn→∞(πnπ-1n3) =∞-0  =∞   

Q: Evaluate the integral. x² + x + 1 dx Jo (x + 1) (x + 2)

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Q: 2. In each of the following, find fyzz, fryz, fryz- 2. f(x, y, z) = In(xyz) + z² tan-'(e*")

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Q: 8. What is de x2+1

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Q: f(x) = x - 5x^1/5   A) Find all critical values of f  Critical values = ____  B) Use interval no...

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub- par...

Q: 1 tan 2 1 1 + tan-x +C. 2 2

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Q: Find the polynomial with a leading coefficient of either 1 or - 1 and with smallest possible degree ...

A: Draw a schematic diagram of given graph.  

Q: 12x +1 dx. (2x- 1)2 (3x+2)? Evaluate: 1 (A (2x- 1)2 (3x +2)² +C B (2x- 1)3 (3x + 2)3 3 + C ⓒ In l(2x...

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