What is a limit and how can it be found using tables and graphs?

Q: Find the exact value of the expression. cot

A: Cot(x)= Cos(x)/Sin(x)

Q: Consider the following sequence: {an} = {n – n² },=I Use an+1 an to show that the given sequence {an...

A: We have to find if the sequence is strictly increasing or decreasing.

Q: To evaluate the integral expression sin-(vVx )dv, using simple substitution dv = f (x) dx, Determine...

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Q: 1 eB*[Scos2x - psin2x] + C *sin2xdx a Find: a + B + 8 + p

A: The given integral is e-3xsin(2x).

Q: I Solve the di fferential equations ( 2x-5y+12) dx +(7x-4y+15) dy - o 2.

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Q: Differential Equation A tank initially contains 100 gallons of brine whose concentration is - lb/gal...

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Q: I Solve the differential equations [ 2(x+y)- xy]dy = (x+xy²- 2y +3)dx when x=1, y=1 3.

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Q: Q3/ find the derivative La)= メ 2. logs (x+3) 2x+4

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Q: Solve using method of undetermined coefficients d?x d3x + 6 dt3 dt2 d?x + 12 dx dx + 8x = 0 when t =...

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Q: 20. Let h be the function defined by h(x) = [", sin²r dt. Which of the following is an equation for ...

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Q: V. 49+x2 16. F(b) is equal to? 28-7pi A. 7pi-28 B. 4 4. 17. F(a) is equal to? 28-7pi A. 4. 7pi-28 B....

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Q: 2 integrate by parts

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Q: - ydx + (x ++ Vxy )dy = 0

A: Given  -ydx+(x+xy)dy=0 To find solution of this Differential Equation:

Q: Match the integral expression on the left to its suitable transformation on the right, after using a...

A: Here we have to match the expression on the left to its suitable transformation on the right, after ...

Q: 3 -x if x < 2 f(x) = at x = 2, (-0,2) if x 22 2x - 3 if x 2 2 -3 f(x) = -2x + 2 if x < 2 at x = 2, [...

A: We have to check if the function is continuous or not.

Q: Differentiate. t- Vt g(t) : g'(t) = Need Help? Read It

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Q: Consider the following sequence: {a,} n=1 An+1 to show that the given sequence {an}is strictly incre...

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Q: 8. 1 (b) 2 11k + 1 The series converges. eTextbo diverges. may or may not converge; it cannot be det...

A: A)∑k=1∞ 111k = 111+1112+1113+1114+.........+∞is the GEOMETRIC series with r = 111 &lt; 1As per the p...

Q: Eliminate the arbitrary constant a from the equation (z - a) + y = a O = + 2ry' O = + 2ry Ov =+ 2ryy

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Q: Find the differential equation of the family plane curves described. Draw atleast three members of t...

A: We need to find the differential equation of the family of curves described below: All tangent lines...

Q: Which of the following integral will give the volume of a solid generated when the area bounded by y...

A: We have to find volume generated when area is rotated about x-axis.

Q: YOU

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Q: An+1 -to determine if the sequence an { Use the ratio is 4n + 6 J =1 strictly increasing or strictly...

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Q: Given the function: f(x, y) = y°e -5x a. Find fyy(x, y) b. Find fyyæz (0, 1)

A: a)f(x,y)=y3e-5xPartial differetiate w.r.t yfy(x,y)=3y2e-5xPartial differetiate w.r.t yfyy(x,y)=6ye-5...

Q: Find the amplitude of the graph of y = - 5 sin O 167 8. 05

A: Comparing with standard form of the wave equation

Q: Find r'(t)⋅r''(t)forr(t)=−3t^5i+5tj+2t^2k

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Q: F. Planes and Lines O Find an equatin The plane each of whose paints idistant to The agu w eq point ...

A: Here ,              We have given two points which are               equidistant from each points of...

Q: Find the area bounded by the indicated equations. y = x 5, x = -5, x = 1, y = 0 В) 2604 15625 6 7813...

A: Given: y=x5, x=-5, x=1, y=0 The area of the curve by the bounded region is given by: A=∫x5dx Here, t...

Q: Which of the following integrals will yield an inverse trigonometric function? e2x dx 4+e2x wdw (B 2...

A: Let I=∫19-16x2dxI=∫11-16x29dxI=∫112-43x2dxWe know tha ∫1a2-x2dx=sin-1xa+CThereoreI=sin-143x1+CI=sin-...

Q: 4. Find the equation of the tangent line to the curve f (x) = (x² – 4)(2x + 1) at x : -2.

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Q: Determine which of the following differential equation is linear O +5 + 2y² = e3= %3D + 5y +2y = 0 %...

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Q: Calculate the volume of a solid on the first octant and under the plane defined by 2x+6y+6z=24. Roun...

A: Let's find. 

Q: Which of the following differential equations can be solved by separation of variables? A (x²y² + x)...

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Q: The quantity of charge Q in coulombs (C) that has passed through a point in a wire up to time t (mea...

A: we have given Q 

Q: WHich of the following represents the shell height if the shell method will be used to find the volu...

A: Given problem:- Which of the following represents the shell height if the shell method will be used ...

Q: 2 5. lim x→3 \x – 1 х2 — 1, 2 |

A: Follow the procedure given below. 

Q: Find the volume of the solid generated by revolving about x=0 the region bounded by the given lines ...

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Q: following

A: We will use rhe graph of the derivative to find the intervals. 

Q: WHich of the following represents the shell height if the shell method will be used to find the volu...

A: For Understanding of the shell method (Revolution about the x-axis):

Q: IX. E sin (2x)dx by using walli's formula. a is equal to ? A.0 29. B.1 C.2 D.pi/2 The definite integ...

A: Applying Wallis Formula. 

Q: Set-up the integral to calculate the area of a region bounded by x-y=3 and y=x2 -6x+9 ?

A: Given x-y=3 and y=x2-6x+9 To find area of region between these two curves:

Q: To evaluate the integral expression sin-(Vx )dv, using simple substitution dv =f (x) dx Determine th...

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Q: SOLVE THE DIFF EQ (ху-бх?)dy - (2y2-9ху)dx

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

A: Let's find. 

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

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Q: SOLVE THE DIFF EQ (x²+xy²-x³)dx + (x²y-v®)dy = 0

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Q: Activity 1: Determine the number at which the function 1 is not satisfied. x2+x-6 if x # -3 1. f(x) ...

A: See the details solution in below

Q: Solve the differential equatons (9xy-2y2) dx - ( 6x²_xy) dy =0 4.

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Q: Use any method to determine whether the series converge. 1. (a) 19k k=1 The series 00 1 (b) 19 + 1 k...

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Q: 3x2 + 6, x 0 1+ 9x + x3' Find the following limits. NOTE: Enter an exact limit if it exists. If the ...

A: This question is based on Limits.