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Q: Find the limit. lim (t i – 3 j+ t?² k) t-2 lim (t i- 3 j+1? k) = j + i i+ i i k

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Q: A function is defined as f(x) = x3 - x - 11 = 0. Between the interval [2,3] find the root of the…

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Q: Find the sum of the following power series: 3 3.7 1+7** 4-8 3.7.11 3.7.11.15 + 4.8. 12 4.8. 12• 16…

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Q: ||r(t) × r"(t)|| ||r(t)|| Use the formula k(t) to find k(t). 13 13: r(t) = t’i+ t³j K(t) =

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Q: (2xy+x^2+x^4)dx - (1+x^2)dy=0 the answer should be

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Q: dx 2.) S 4+ x2

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Q: Given: 4 2 y = -arctan sinh 3 х — find y' at x = 2 - cosh 1 - y 1 + sinh? 1 %3D cosh 1 y = 1 + sinh…

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Q: 3. Use the Fundamental Theorem of Calculus to evaluate the definite integral 16 x Vx dx 4

A: Given: ∫416xxdx Simplifing the given integral∫416xxdx=∫416x(x12)dx                 =∫416x1+12dx…

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: पेरडा test conerg ence and divergence

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Q: A _1. (2x – 3) dx A. -2 _2. L(x3 + 2x) dx В. 0 _3. (x² – 2) dx 1 С. 3 4. S(x3 + 3x – 1) dx 2 D. 2 |…

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Q: 1.f In(x² +a°) dx Ans. x In(x' +a')- 2x + 2a tan " +C a

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Q: uences below are either arithmetic sequences or geometric seguences. For each sequence, determine…

A: Given query is to find the type of the sequence.

Q: Find the area of the region R bounded by the graph of the function f(x)=x' – 3.x² +2 and the axis on…

A: Given :

Q: dx x* + 4

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Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. 2(3*)…

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Q: Evaluate the double integral over the rectangular region { 2(* sin(1) – y sin(z) dA; R= {(x,v) : 0 <…

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Q: The total revenue, thousands of dollars, for selling g thousand Framits is given by (a) Find all…

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: Consider f(x) = (5x + 11)2022, find: i. f'(x) ii. f"(x) iii. f''(x)

A: Given Data: f(x)=5x+112022 Formula used: dax+bndx=nax+bn-1dax+bdx dxndx=nxn-1

Q: Find curl (7z i + 8x j + 9y k). curl (7z i+ 8x j + 9y k) = ( i )i + ( i )j + ( i )k

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Q: Find the following for the given equation. r(t) = 8 cos(t)i + 8 sin(t)j (a) r'(t) = (b) r"(t) = (c)…

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Q: Find the limit. NOTE: Enter the answer using round brackets. ) - () t2 + 8 1 lim tto \ 5t2 + 6'8t

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Q: Question 2 Find the inverse Laplace transform of H(s) - (;+)-

A: H(s)=1s2-e-s1s2+2s+e-4s4s3+1s L-1{H(s)}=L-11s2-e-s1s2+2s+e-4s4s3+1s…

Q: stimate using the trapezoid rule and Simpson's rule for et dx;n3D8 -2x+5

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Q: Find the average value of f(x)= 4x - 5 from 1 to 3. ... The average value of f(x) = 4x - 5 from 1 to…

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Q: Is the solution region bounded or unbounded?

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Q: Write the given (total) area as an integral. a. The area above the x - axis and below y = 4 – x2 b.…

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Q: Consider the points A(1, –3, 4), B(2, –5, 2), C(-1, –4, 2), and D(2,3, –5). (a) Find the volume of…

A: Let a,b,c and d are position vectors of point A,B,C and D resp. Therefore a=i-3j+4k b=2i-5j+2k,…

Q: I - 5 Use l'Hopital's Rule to evaluate lim Then determine the limit using limit laws and I5 22 - 25…

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Q: 1. Do the integration by substitution for the following integral and find the value of definite…

A: We have to find the given integral value.

Q: Find the equation of the tangent plane to the graph of f(x, v) = In (17x² – 14y²) %3D at the point…

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Q: dx V25 – x

A: Given problem:-

Q: Given the following equation, determine y using the methods discussed in class a - y = cosh(cy) |

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Q: x² – 2 (x + 2)(x + 1)²

A: Partial fraction

Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x3 +x)dx

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Q: . Find all relat/ve extremo and saddle points of the runcton. Use econd Partials Test where appliı…

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Q: integral of 3/(x^2)+9

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Q: 4. SET A. Evaluate di/dt, correct to 4 significant figure, when t 0.1 and I 15t sin 3t. %3D

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Q: eshows wire 1 in cross section; the wire is long and straight, carries a current of 4.00 mA out of…

A: To find x- component of force on wire 2 due to wire 1.

Q: 2.) S- e2x dx ex – 5

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Q: 3. Find the 23Td term of the arithmetic sequence whose common difference is d = 4 and whose first…

A: Find the 23rd term of the arithmetic sequence

Q: Sx+11x+2 dr x(x+1) Zln|x| + 3 In|x+ 1| +C 2łn]x| + 3 In|x +1|- Option 1 Option 2 2ln|x] + 3 Inx+ 1|…

A: We can solve this as follows:

Q: An archaeologist found a burial jar when excavating in an ancient village. To determine the age of…

A: Rate of decay of C14 is proportional to its amountdctdt=kct…

Q: Find the generating function for this when n=2, f(2)=1. n=3, f(3) = 6. n=4, f(4)= 25. n=5,…

A: Given :n=2, f(2)=1. n=3, f(3) = 6. n=4, f(4)= 25. n=5, f(5) = 125. n=6 f(6) = 750To find : The…

Q: SHOW THAT THE DIFFERENTIAL EQUATION IS LINEAR EQUATION OF ORDER ONE 1. (3xy + 3y – 4)dx + (x + 1)…

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Q: A particle moves vertically (in inches) along the yaxis according to the position equation s(t) = -…

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Q: -2+0.5-0.125+...= (Write your final answer in fraction form, when applicable)

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Q: Find the first three non-zero terms of the Taylor expansion for the given function and given value…

A: The Taylor series;  fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+..... Where, center at x=a.   Given:…

Q: In the year 2000, the population of a small city was 43,000. The population grows at a rate of r(t)…

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Q: test conerg ence and clivergence h!

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