Factor the difference an+1 - an to show that the given sequence {an} is strictly increasing or strictly decreasing. +oo 16n +7 n=1 An+1 - an = (16n – 7)(16n + 23)' strictly increasing (16n + 7)(16n + 23)' ; strictly increasing 7. (16n + 7)(16n + 23)' strictly decreasing (16n - 7)(16n – 23) strictly decreasing 16 (16n + 7)(16n + 23) ; strictly increasing

Q: nd the value of o(1999), p(101), p(243), 9(1998).

A: Phi function

Q: Find the nth Maclaurin polynomial for the function. 4x - 1 f(x) n = 4 x + 1 P4(x) = %3D

A:

Q: x³dx (x² – 1)² dx 4. (x² – 6x + 13)² (² – 6x dx 5. (x² + 9)² 3.

A:

Q: dr if r =Vs+1 and s=161-20t . dt 1. Find -

A:

Q: Solve the components of the given equation of conic sections and sketch the graph: а. 9y? — 4x2 + 32...

A: In this question we have to solve the following question.

Q: The graph shown below is f(x) = x2. If g(x) = f(t)d t, find g(3). AY 8 6+ 21 X 4 O g(3) = 9 O g(3) =...

A:

Q: Use sigma notation to write the Taylor series about z = 1, for the function. 3 In z; z0 = 1 k =

A:

Q: Consider -dx. Using u-substitution and transformation of integrand, then the power formula applies; ...

A:

Q: sing u-substitution, the integral Jf(x)dx reduces to a new integral J glu) du. If g(u) = , evaluate ...

A: Topic:- application of integration

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

A:

Q: d) If the coefficients are rounded off of 0.31x + 2.73 find the absolute and relative in y x + 0,35 ...

A:

Q: EC an

A:

Q: 3(1+x²)-1/2, y(C

A:

Q: f(x)= (x-2)/(x^2-x+1)^2the intervals on which f is increasing or decreasing (d.) the intervals on wh...

A: Given functionfx=x-2x2-x+12We will answer sub-part c, d and e(c) the intervals on which f is increas...

Q: Evaluate the integral / V4x4 - 12r? +7 xdx A - {(2x?-3) /4x4– 12x?+7 - 2 In |2x?– 3 + V4x4 - 12x2+7|...

A:

Q: Please see the attached image to see the given. thank you  (a.) the critical numbers of f (b.) all ...

A:

Q: х — 2 1. f(x) (2? — х + 1)2

A:

Q: Question 16 3 In?x + 1 Evaluate x (In3x + In x) 1 In lin³x + In x| + C A +x, B In in?x + 1| + C © 3I...

A:

Q: Graph the two equations x+y= 0, and y = - (x-1) and find the points in which the graphs intersect

A: 1. Given x+y=0y=-xtf x=0,y=0if x=1 ,y=-1if x=2,y=-2Graph passing through origin .2. y=-x-12if x=0,y=...

Q: x³dx (v²– 1)7 3.

A: In this question we have to find the value of Integration.

Q: 2) Which of the following sequences are summable. If the sequence is geometric, find the sum: a) a; ...

A: a) a1= 5/4 a2= 25/16 a3= 125/64 b) a1= 11/6 a2= 15/11 a3= 19/16  

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

A:

Q: Inz Let U = ry ,x= Vst, y = s? - 1². Use the chain rule to find when s = 1, as 4. -. t = 2.

A:

Q: x²dx S. 1. 4 – : - x²

A:

Q: Direction: Provide what is asked in each item. 1. For what value of a does the limit of the piecewis...

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

Q: Watch the introduction to partial fractions video 2 and the video on repeated linear factors e befor...

A:

Q: Suppose f(x) - 6'Vi+ť' dt. 1) Evaluate / (2).

A:

Q: Determine if -1 CSC if 0 1 is continuous or not at r = and 1. If it is discontinuous, identify the ...

A:

Q: f(x) = x(6 – x)-

A: Given :f(x)=xa(6-x)b 0≤x≤6

Q: 2. Divide the class into groups of 10. Measure the height of each member. Find the sampling distribu...

A:

Q: Use the limit comparison test to determine whether the series converges 8. 74 +5 The series Save for...

A:

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) n = 4, c = 4 P(x) =

A: solution:-f(x)=1x2,     n=4,       c=4f'(x)=-2x3f''(x)=6x4f'''(x)=-24x5f4x=120x6

Q: B. Determine the function which coincides with f(x) for all values with the exception x = 5. (x² - 2...

A:

Q: 8. What is de x2+1

A:

Q: Cos (Jx) dx

A:

Q: II. Determine the derivative of the ff. logarithmic functions 1. y = 25 In 5x 2. y = -10 In 3x4 3. у...

A:

Q: 1. Consider the relation R1: R2 - R such that (r1, y1)R1 (x2, y2) if and only if both points are on ...

A:

Q: The student should estimate the equation 0.24 0.24 + tan [0.247 + 2(0.27)n] π 1 1 =-+-tan(Tx + 2ny) ...

A: Given function: gx,y=xπ+xπtanπx+2πy Point: 14, 14 To estimate: 0.24π+0.24πtan0.24π+20.27π Formulas u...

Q: The diagram below shows points P, Q and R. The coordinates of the points are given by P (2), Q(5, 6)...

A: Distance between the points P(x1,y1) and Q(x2,y2) , D = (x2-x1)2+(y2-y1)2 .

Q: Find the centroid along the y-axis of the plane area bounded by the equation y^2=4x, x=1 and the x-a...

A: Given curve is y2=4x ,x=1

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

A:

Q: (x + 1)2 and the line (x+1)?, 1, where a is the same constant. 4. Let Si be the area of the region b...

A:

Q: Let F = %3| Use Stokes' Theorem to evaluate curlF · dS , where S is the hemisphere x? + y? + z² = 1...

A:

Q: Find the distance between the points (distance formula) 1.(3, 2), (4, -3) 2.(-5, 1), (-7, -3) 3.(-1,...

A: Distance between two points (x1,y1) and (x2,y2) is (x2-x1)2+(y2-y1)2. Note : As per our Guidelines ...

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

A: First we find radius of convergence. Then find interval of convergence. 

Q: rot F - dS, where F = (y+1)i – (x² + y² + z)k and S It is given by Use Stokes' Theorem to calculate ...

A: This is a problem of vector calculus. Based on the stokes formula for vector calculus we will evalua...

Q: 3 In?x + 1 Evaluate x (In³x + In x) 3. A 3 In |in3x + In x| + C B B In in3x + In x| + C -In lin?x + ...

A:

Q: Find an equation of the tangent line to the graph of the function at a given point. Do not use the l...

A: Slope of the tangent line of the function f(x) is the derivative of the given function . f'(x) = lim...

Q: 3) A businessman ventures to put up a digital printing shop which caters to printing of t-shirts for...

A: Let the number of t-shirts that will obtain maximum gross return is = 50+x. In this case x t-shirts ...

Q: 9 10 handwritten

A: We have to find the derivative of the given function using the rule of derivative