Factor the difference an+1 – an to show that the given sequence {an} is strictly increasing or strictly decreasing. 16n + 6 J n=1 an+1 – an = 6. strictly decreasing (16n + 6)(16n + 22) ;strictly increasing (16n + 6)(16n + 22) strictly decreasing (16п - - 6)(16n – 22)

Q: 2 3 хе dx

A:

Q: Find the differental equation of the family of plane curves described, Draw at least three members o...

A: Formula: Circle equation (x-x1)2+(y-y1)2 =r2 given, Centre on y=x is (b,b) And radius =k

Q: e

A: We need to evaluate integral.

Q: Assume cos(t) = - where <t <a. Compute the following %3D cos(-t) = sin(t) = sin(-t) =U sin(-t) + cos...

A: topic - trigonometric ratios sin(-x)=-sin(x) cos(-x)=cos(x) sin2(x)+cox2(x)=1

Q: Question 3 Transform the polar equation 6 to an equation in I and y. Submit Question

A:

Q: 5. f(x) 3x

A: here we have to plot a graph of f(x)=3x.

Q: 6. (3y2-x2" = 0 ;when x = 1, y = 1 y5 2y4

A: The given differential equation is 3y2-x2y5y'-x2y4=0; when x=1, y=1  

Q: Use the figure to determine the radian measure of angle 0. Then approximate the degree measure of 0....

A:

Q: Poblam cu (a) Compute Cm 2月-/ where xe [-,]. (1) 2n 2n-1 where ze C-1,1]. (b) Gompule Cm z nっ%

A: (a) 

Q: Question 3 (a) Show that the limit łycosy lim (x.y)→(0,0) 2x4 +y² does not exist.

A:

Q: How many saddle points does the function f(x, y) 116 – 18r 66y + 9x + 11y? have? Answer: (Input 0 if...

A: Given problem:- How many saddle points does the function f(x, y) =116 - 18x - 66y + 9x2 + 11y2 have?...

Q: (8,7,11) Figure 1 Figure 2 A(n) 3 in x 12 in piece of cardboard has squares cut out of each corner i...

A:

Q: an² y dx = sec²x dy

A:

Q: 4. Calculate the volume of the solid obtained by rotating the region bounded between y = -x and y = ...

A: Note :- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly r...

Q: Given P(x)=x^3+3x^2+x+3. Write PP in factored form (as a product of linear factors). Be sure to writ...

A:

Q: For real number p, let f and g be defined by f(x) =e3 and g(x) = 1/xP, respectively, on [1,00). f(x)...

A:

Q: T/2 cos t dt 1 + sin²t

A:

Q: Solve method of undetermined coefficients using (D+AD+8)Y 3X t, z 13e +50X when x-0, y=0, Y=D0 ゾーo

A:

Q: -) that passes through (-1,3) that is parallel to 2x – 5y = 1

A:

Q: Use the appropriate reciprocal identity to find the exact value of sec 0 for the given value of cos ...

A: NOTE: Refresh your page if you can't see any equations. .

Q: A helicopter is heading N 33° E (i.e. direction angle of 57°) with an airspeed of 17 mph, and the wi...

A:

Q: Set up the definite integral that gives the area of the region. Yı = 7(x³ – x) Y2 = 0 dx y 3 2 -1.5 ...

A:

Q: 3. ( 3x²y + e' )dx + ( x³ + xe' - 2y)dy=0

A:

Q: Find the point of intersection between the line x+2/6 = y - 3 = z/3 and the plane x + 2y – 4z = 0.

A:

Q: 4.x (a) lim 10 sin 5x sin() (b) lim 5x sin 3x (c) lim 10 x2 tan 2.x

A: Read the following instructions once 1. Short method is provided at the end of the subpart (c) 2.sin...

Q: dx =(x²yeº- 3xy²) dy |

A:

Q: dy 2y_(x+2)² %3D dx x2 -4 x² -4

A:

Q: 11T A point has polar coordinates ( 8, 6. Convert to rectangular coordinates. (r, y) = Enter your an...

A:

Q: 2. Sketch the graph of g(x) and discuss the continuity and discontinuity at x = 2 X = 0 g(X) = PEN

A:

Q: C. . Solve the initial value problem: 2xydx + (2y2 – 3x²)dy; y(0) = –1.

A: C is homogeneous Differential equation

Q: Factor the polynomial. (a) 6x – 7ry - 5y² (b) 9x² + 5x – 4

A: To factorize the given polynomials.

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

A:

Q: The general solution of the differential equation (x + y)°dx – (y² – 2xy – x²) dy = 0 is

A:

Q: Setup an integral to find the surface area obtained by rotating the curve y = e about the line y = 1...

A:

Q: Evaluate the following integral: x² (3 + 4x – dx

A:

Q: and stra ight and x : 8 Let R be an area enclosed by a curve. : 1 Using the cylindrical shell method...

A: Given problem:- Let R be an area enclosed by a curve. X =4√y and straight line y=1and x = 8 Using th...

Q: find the differential equation of the family of plane curves described. draw at least 3 members of t...

A:

Q: (b) If u = x² cos y+ye", where x = s+2t and y = st, prove that ди ди 2 = (s – 2t) (x siny– xye – e")...

A: u=x2cosy+yexyx=s+2ty=st

Q: (-1)"n For positive integer n, let a, = 3" Determine whether the sequence {an} is convergent.

A:

Q: Differentiate y = sin(3x + 4y) cos(3x+4y) 1+ 4 cos(3x+4y) з cos(3x+4y) 1+4 cos(3x+4y) cos(3x+4y) a. ...

A: y=sin3x+4y

Q: Evaluate the definite integral. Round your final answer to three decimals. 53 298, 512 dt t3 Vt? – 3...

A:

Q: Use a system of linear equations with two variables and two equations to solve.   287 students enr...

A:

Q: Find the the arc length of y = 3x² – 2 from x = 0 to x = 4 No decimal entries. Find the exact value....

A:

Q: Show that the limit x?ycosy lim (x.y)→(0,0) 2x4 +y² does not exist.

A:

Q: Find the General Solution: y" - 3y' + 2y =4e ** -4x

A:

Q: 2 Let R be the region of the 1st quadrant surrounded by a curve. X : + 2 straight straight line line...

A: The region is bounded by,       x=y2+2 ; y=4-x and x=2

Q: y" - 3y' + 2y = 0 Find the General Solution:

A: y''-3y'+2y=0This is 2nd order differential equationAuxillary Equation is :m2-3m+2=0solvem2-2m-m+2=0m...

Q: Convert the angle to D°M'S" form. 44.27° 44.27° ='O'0"

A: The angle is 44.27°  

Q: 1. A model for the position x (t) of an Olympic jump skier says that the acceleration a(t) = x" is p...

A: As per as our guidelines i am supposed to answer only three parts of this question Please repost the...

Q: Evaluate the limit |t +5| lim t→ - (5) t + 5

A: we have limt→ -5-t+5t+5