a. Show by means of slope that the four points (0,0), (-2,1), (3,4), and (5,3) are vertices of a parallelogram.

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

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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: ladder 10 ft long rests against a vertical wall, If the bottom of the ladder slides away from the wa...

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Q: DIfterenti are (뉴) de Ipx tan x -In DIfterentiate exy te Yy 1, tnd y"

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: x²dx S: 1. 4 – 3 x' dy 2. V16 + y²

A: Let I=∫x24-x2dxI=∫x222-x2dxPut x=2sinudifferentiate dx=2cosu.duI=∫22sin2u22-22sin2u2cosu.duI=∫4sin2u...

Q: Question 2: Differentiate the functions by using product or quotient rule. a) f(x) = (1 – 3x²) · e* ...

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Q: 30 3 120 x f(x) = 2x-3 X + 1 n = 4 3 Pa(x) = 3 1+ x -x+x -3+ 5z- 522 +5-54 | Solution or Explanation...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 00 k+1 Σ (2k –...

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Q: Use the difference a41 - a, to show that the given sequence (a,] is strictly increasing or strictly ...

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Q: 22 Use a triple integral to find the volume of the given solid. The solid enclosed by the evlinder x...

A: According to question,Given Cylinder and planes,x2 + z2 = 4y = -1y+z = 4

Q: Graph the Parabola. Given: Vertex at (4, -5) and Focus at (4-1)

A: (x-h)2=4p(y-k) , Vertical parabola.Vertex - (h,k)Focus - (h,k+p)

Q: (e) Every functionf defined on (-∞, ∞) that satisfies the condition that lim f(x) = lim f(x) = ∞ mus...

A: topic - functions

Q: Let V be the volume of the solid obtained by rotating the region above the x-axis and below the grap...

A: Given :f(x)=e-x0≤x≤2Rotating about the x-axis

Q: A company wishes to produce two types of souvenirs: Type A and Type B. Each Type A souvenir will res...

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Q: f(x) = 3√3x^2 + x + 1  take note: fuction of x is cube root of 3x^2 + x + 1 (a.) the critical numb...

A: As per bartleby guidelines we only give first three suparts  question answer.

Q: Find the value of c for which the area enclosed by the curves y = c-x and y = x-c is equal to 128. (...

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Q: Determine the equation (both standard and general) of the following conic sections based on the cond...

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Q: Write the first five terms of the sequence, give the exact answer: +00 n+ 19 n=1 Determine whether t...

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Q: the weight of an object to its volume. re Density.

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Q: + oo Consider the improper integral dx . What will be an appropriate solution and answer? x2+ 2x+ 2 ...

A: We have to find solution of improper integral.

Q: 1. Let (r + 2)², if I 0. (a) Give the r coordinate(s) of the possible point(s) of discontinuity of ...

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Q: Question 12 If the solution to e2x sec2(e2x+1)dx is equal to ktan (e2x+') + C, find the exact val S ...

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Q: f(x) =(x^2/3 − 1)^2 -Take note that the 2/3 is the exponent of x (c.) the intervals on which f is ...

A: Given problem:- f(x) =(x2/3 − 1)2   (c.) the intervals on which f is increasing or decreasing (d.) t...

Q: Is the given series divergent or convergent? +oo 1 Σ 4n2 - 8n +3 -

A: Limit  Comparision Test :Suppose ∑an and ∑ bn are two positive term series and                limn→∞...

Q: f(x)= (x-2)/(x^2-x+1)^2 (a.) the critical numbers of f (b.) all relative extrema of f (c.) the inte...

A: To find (a.) the critical numbers of f(b.) all relative extrema of f(c.) the intervals on which f is...

Q: Solve the components of the given equation of conic sections and sketch the graph: a. x2 + y2 – 10x ...

A: Given

Q: The graphs show the position s, velocity v = ds/dt, and acceleration a = d?s/dt2 of a body moving al...

A: The graphs show the position s, velocity v=dsdt, and acceleration a=d2sdt2 of a body moving along a ...

Q: 3) For f(x)= cos(20x), use Taylor polynomials to estimate f(1/40) to within 1/100. Do not forget to ...

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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: O : (2r-3)/ar- 12x²+ 7 – 2 im |2x*-3 + Vart- 12r²4 7|} +C V4r4– 12r2+7|}

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Q: If the limit of x->3- and x->3+ is +♾️, while f(3) is 2, is this a removable or infinite essential d...

A: Given

Q: 2 10 10 dx x5 x5

A: Given, a ∫2x+10x5dx b ∫122x+10x5dx We have to solve for parts (a) and (b).  

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 7 (1 -7)° (...

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Q: Find f'(x) for f(x) = (x² +4) sec(x) f'(x) = x^2secx+tanx+4secx tanx+2x secx %3D

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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: Is the series convergent or divergent? Explain in minimum of two sentences. +00 n2 – 1 n2 +1 Un n=1 ...

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Q: Find the nth Maclaurin polynomial for the function. f(x) = e-X, n = 5 2 3 4 5 P5(x) = 1-x+ 6 24 120 ...

A: Note that, the function ex is: ex=1+x+x22!+x33!+x44!+x55!+...⇒e-x=1+(-x)+(-x)22!+(-x)33!+(-x)44!+(-x...

Q: Find the radius of convergence and the interval of convergence. 00 k(k + 1) k=1 1) First apply the R...

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Q: uestion 9 x2 dx. Which of the following options is correct? 00 onsider 9+x6 (A Arctan 3 + lim Arctan...

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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: Write the given series: 2+4+6+8+10 in sigma notation.

A: Given problem:- Write the given series: 2+4+6+8+10 in sigma notation.

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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Q: Does the following power series converge for all real values of x? (-1)"x" n n=1 It converges for al...

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Q: Use the binomial series to find the Maclaurin series for the function. 4 f(x) = V1 + x 1 f(x) = 1 +-...

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Q: 0 5 Let A=-8 4 and B= 4 -6 1 -9 .Solve the matrix equation - 2X + 5A = B for X. 77 6 -3 ... X-(Type ...

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Q: 3. a) Find the percentage error in computing u = Vx at x = 2.45, when x is 4 %3D b) | If Ax = 0.005,...

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Q: Find the equation of the tangent to the following curve at the point where x = 1 y=Vx

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Q: cot (2x) dx . V cot2(2x) – 15 Evaluate the integral csc (2x) -Arcsec 4 A +C 4 O - - In [cor (2r) + V...

A: This question can be solved using the concept of integration by substitution and some special integr...

Q: Find the solution of the following Differential Equations 2) (xdy – ydx)/x² = 4) 2.x In(y)dx+ yx'dy ...

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