Evaluate the following limits. 1. lim (1+ Vw)(2– u? + 3w) 22 – x - 2 4. lim 6x2 – 7r +1 7. lim エ→ー1 V +3 -2 r² +1

Q: Use the trapezoidal rule with n = 5 to approximate %3D 5 cos(x) -d.x 1 Keep at least 2 decimal place...

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Q: [3 – x2, – 1< x < 2 20. If f(x) discuss its continuity and differentiability. %3D 2x – 4, 2 <x< 4

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Q: Find the volume V of the described solid S. The base of S is a circular disk with radius 4r. Paralle...

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Q: The population of a city is 45,000. The city grows continuously by 2.8% per year. If this trend cont...

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Q: about the y-axis

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Q: 4,5in3x =sinx S Sinx(sin?x-\= sin?x. Sinx(sinx-1). COS X tank (sin zx - COS tan-o TT

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Q: Find the numerical value of a) sinh Cen 4) b) sinh (1

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Q: The integral -8 sin(x) cos(x) dx can be evaluated in four different ways: (1) The substitution u cos...

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Q: Compute the first three non-zero terms of the Maclaurin Series for f(x) = sin-1 x

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Q: Find the limit of the function along the path y = 0. X-m lim (х.у) - (0,0) у -п C. -" 772 772 A. 0 В...

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Q: Solve ſ cot3 4x csc² 4x dx then evaluate the answer at x=22, C=26

A: ∫cot34x csc24x dx

Q: Let S be the solid obtained by rotating the region shown in the figure about the y-axis. (Assume a =...

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Q: 27 Given Cost and Revenue functions C(q) = q° - 10q +56q + 5000 and R(q) = - 3q + 2600q, what is the...

A: Let's find. 

Q: 16-X - 13 - 13 10-x x E 10 = 3.66 m

A: Given: 10-xx=3  ..1

Q: 3. a) Use the Chain Rule and the fact that |x| = Vx2 to show that d dx |x| b) Sketch the graphs of t...

A: We will use the give solution as we are instructed.

Q: Integral of | 4sinxcos cos |dx 1. J sin 9x cos4x dx J cos 2x cos (-x)dx 2. 3.

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Q: The pair of parametric equations represents a line, parabola, circle, ellipse, or hyperbola. Name th...

A: The parametric equations are given as , x=2cos8t , y=2sin8t Name the type of curve that the pair of ...

Q: Refer to the figure and find the volume V generated by rotating the given region about the specified...

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Q: Question 2 We consider compound interest with a nominal annual rate r compounded n times per year. T...

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Q: 18. Differentiate y with respect to x using A-method. a) y = x³ + 2x? - x+ 5 b) y = ax*, where a is ...

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Q: 14x - 39 * The partial fraction decomposition of can be written in the form of 12x2 - 13x - 14 f(i) ...

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Q: For each item, graph the function f (x). Use the graph to estimate lim f(x), lim f(x), and lim f(x)....

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Q: The function f is shown below. What is the value of f(x) dæ? Write your answer in simplest form. Gra...

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Q: Odr + (2r +1- Or) d0 = 0

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Q: Use cylindrical shells to find the volume V of the solid. A sphere of radius r V = %3D

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Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

A: Put 8x=15tanw =[12×(15/8)³tan³w]/[5×15√1+tan²w] =(79.10/75)×(sin³w/cos³w)/[sec²w] =1.05sin³w/cos²w

Q: Find y' by implicit differentiation 1. x³+y³=6xy 2. x²+y²=4

A: Question 1,Given,           x3+y3=6xyTo find : Find y' by implicit differentiation.

Q: Given cost and price (demand) functions C(q) = 100q + 43,000 and p(q) = - 2q + 880, what profit can ...

A: Given :cost price (demand) functions C(q)=100q+43000 andp(q)=-2q+880, company earn by selling 50 ite...

Q: Movie expenditures, in billions of dollars, on advertising in a certain format from 1995 to 2004 can...

A: 1999 is the fourth year from 1995.

Q: use Substitution method to Schve (3メ -2Y +1)dx -(X-2Y-3)dy=o

A: Given:   3x-2y+1dx-x-2y-3dy=0

Q: If z = x? + y?; x = t sin t , y = 2t cos t dz then dt at t = is

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Q: 10 -X 13 10-x = J3x 10 ニ 3.66 m

A: Topic:-  function   

Q: Find the inverse of the given matrix and verify if [A][A]-1 = [A]=1[A] = [1]: [25 5 [A] = |10 4 8 16...

A: Here, the given matrix is: A=25541051681222 First of all, find the inverse of the matrix.

Q: Use the graph of the function to answer the following. f(x) = cos(x) on the interval [-27, 2x] 2 -27...

A: Given that f(x)= cosx and in interval [-2π,2π]. We find increasing and decreasing interval and also ...

Q: X-7y=-11 ---(1)  5x+ 2y = -18 ---(2)

A: Note:- As statement of problem is missing for given system of equations so we can solve system of eq...

Q: A house sells for $81528 at the end of 2010 and for $161637 at the end of 2017.   If the market val...

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Q: (2æ + 3) = y+ y (2x + 3)i

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: х*+ 4x2-9х-36 3. у %3 4x2+28х+48

A: First we simplyfy then taking derivative. 

Q: 1. (Based on 7.6.33. from the book) The method of carbon dating makes use of the fact that all livin...

A: For living organisms; C14C12 = constant = 11012   Hence, 14C just before the organism dies; C14 =C12...

Q: Evaluate the integral dx et – e-x

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Q: 22. Find the required derivatives. a) y = (4x3 - 2x + 1)-2; find y b) x = Vy? + 1;find x"

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Q: x+1 dx 3. (25 – x²)3/2

A: Solve by separate integral

Q: Computational: (1) The concentration C of a certain chemical after t seconds of an autocatalytic rea...

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Q: sec(Vx) tan(Vx) dx

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Q: ITEMS: Evaluate the following integrals. 1. / e* cos(2x) dx

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Q: Refer to the figure and find the volume generated by rotating the given region about the specified l...

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Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman win...

A: we should find the height of the rectangle such that the window will admit the most light.

Q: In February, Apple stock rose from $120.69 to $164.85, while Tesla stock increased from $675.50 a sh...

A: Given:- In February, Apple stock rose from $120.69 to $164.85 Tesla stock increased from $675.50 to ...

Q: Find the volume formed by rotating about the y-axis the region enclosed by: 10y and y° = x with y > ...

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