Consider the following sequence: +0 4" {an} = n=1 An+1 Use the ratio to show that the given sequence {an}is strictly increasing or strictly decreasing. An Sequence is strictly

Q: i) State the change-of-base formula for logarithms. ii) Using the change-of-base formula, and the na...

A:

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

A: We know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 The chain rule: fgx'=f'gx·g'x   Given: I=∫5+5t3...

Q: d tant dt (cost - 4

A:

Q: Y = e-5x x > 0

A:

Q: The angle of rotation is 18.485 of the conic section with equation Ax-Bxy +Cy 4, if A- C- 20 and B+ ...

A: Angel of rotation

Q: Assume y(x) eaa cosBx is one of the solutions of the DE y(3) – 3y" + 7y' – 5y = 0. - Then α β (A) 3 ...

A: The given question can be solved as shown in step2.

Q: 13. A cruise ship leaves port and sails at a heading of S60°W to an island that is 200km away. The n...

A: Find your answer below 

Q: Let 5n2 + 14n an = 3n4 - 5n2 - 19' b, = 3n2 Calculate the limit. (Give an exact answer. Use symbolic...

A:

Q: Vector A satisfies the vector transformation law, A'=SA. Show directly that its time derivative dA/d...

A:

Q: Obtain the general and particular solution 1. 2ydx = 3xdy, when x= 2, y = 1.

A: The given differential equation,1. 2ydx=3xdy, when x=2, y=1 Note:     Multiple questions are given, ...

Q: For f(x)=√(x^2+2) find all the values of c on the interval [0, 1] that satisfy the Mean Value Theore...

A: Given query is to apply mean value of theorem and find value of c 

Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1+x 1 F(x) = 1 +x+ :·...

A: Using the binomial series expansion: (1+x)k=1+kx+k(k-1)2!x2+k(k-1)(k-2)3!x3+...                     ...

Q: the derivative of y with respect to the given independent variable.   y=(sin5x)^6x

A:

Q: Find the indefinite integral. sin 78 V COS 76 de

A: Given: I=∫sin37θcos7θdθ  ....(1)   We know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: I Y=t5メPYove th y-2(21くるど

A:

Q: Sx² tan x3 dx (In x)3 dx 4x 2x3 dx x++1

A:

Q: B Resort Number of rooms A Total 114 134 181 285 714 a) Determine the standard divisor. (Type an int...

A: Since only part a is visible, henc answering part a. Given query is to find the the standard divisor...

Q: A. True or False. Write T if the statement is TRUE, otherwise write F. 3 1. The function f(x) = 4x-1...

A: Statements are given, we have to find it is true or false   Note:    Multiple parts are given, we ar...

Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at a = 8 for f(x) = In(x +1). %3D

A:

Q: Calculate the differential of the following function. Z = 2x³ex? + In(x+y²)

A:

Q: 4xdx х2-х+1

A:

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 3 %3D

A:

Q: You are given the graph of a function f defined on the indicated Interval. Find the coordinates of t...

A: Absolute Maximum of a Graph: The absolute maximum of a given graph is the point on the entire graph ...

Q: Determine whether the series converges. 1 Σ k + 10 k=1 The series eTextbo converges diverges

A: To determine whether the series converges.∑k=1∞ 1k+10

Q: Evaluate: 2n gn+4 O 7 94 1 1 94 (7) 94 –1 (7) 18 1+94 94

A:

Q: x = -1 if y=u° +5u – 4 a

A:

Q: Activity 3.2. Find the slope of the tangent line to the graph of the function defined by y = 4 + 2x ...

A:

Q: 6 (a). Let f be a differentiable function with f(0) = 1, f'(0) = 2. f(x) + f(2x) + f(3x) - 3 Find li...

A:

Q: 8. A parallelogram ABCD has vertices A(1, –2,6), B(3, –3, 12), and C(6, –2, 1). a) Determine the coo...

A: The diagonals of a parallelogram will bisect each other. So the mid point of the two diagonals will ...

Q: Suppose an object in circular orbit stops in a 3 -. The terminal point is 11 position where sin(0) l...

A:

Q: 7. 4. A firm's marginal cost and revenue functions are given by MC- 12e + 16a + 20 MR = 100 -29 a. R...

A:

Q: 3,Find the max, min, infledon Points an d the intervals eln which the F unc tHon on

A: f(x)=4x3+6x2-6x-4f'(x)=12x2+12x-6f'(x)=012x2+12x-6=02x2+2x-1=0 x=-2±4-4(2)(-1)2x=-1±32     (critical...

Q: c) Determine if y=x tan (x) satisfy dy _ y _ y sec?(r) = 0 when yLu-0=0

A: Put value in equation for satisfied

Q: What dimensions will maximize the lateral surface area of an inverted cone, if V = 27 cm³?

A:

Q: Fin d the intervals on which f (il I a creassing and decreasing are Con cave uP and con cave down an...

A:

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. 00 5+ 2"...

A:

Q: The derivative of the function y = cos(x ln 3)log3 (sin x) is:

A:

Q: Compute the angle between the two planes 2x + 3y + 7z = 2 and 4x - 2y + 2z = 4.

A:

Q: 2. Find the derivative for each of the following, be sure to use proper notation and simplify when n...

A:

Q: Q find as X mP totes $ the fallowing curves then graph them X-1

A:

Q: Find the centroid of the given region. [Give exact answer in fraction form.] y = 2-x? y =x The centr...

A:

Q: Find of the function given implicitly: 6xy + 7e" = 7e . Evaluate the second derivative at the point ...

A:

Q: Find two points where the curve x^2+3xy+y^2=47 crosses the x-axis. The tangent lines to the curve at...

A:

Q: A person coughs when a foreign object is in the windpipe. The velocity of the cough depends on the s...

A:

Q: Question The derivative of the function tan(In(vx² – 6x +1)) is: -

A:

Q: 18. Use logarithmic differentiation to find the derivative of y with respect to the given independen...

A:

Q: Find the derivative of the function. PLEASE HELP ME ANSWER WITH SOLUTIONS

A: ddv1-2v1+v3  

Q: 7. Given vectors ū =[2,1,4], v =[1,2,–1],and w=[x,1, z] find x and z such that ū x w = v.

A: u ×w = v now u × w = i    j    k                      2   1   4                      x   1   z now  ...

Q: Solve the triangle for which ZA = 30\degree, ZB = number. Do not use a decimal point or spaces in yo...

A:

Q: Compute the multiplicative inverses of the following (if they exist) usin Using the Euclidean algori...

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want...