Find f(x) so that when u = f(x) the integral J 1+ In x tan(f(x)) dx can be rewritten as cot u du..… ... A x+ In(x) B xin(x)

Q: EXERCISES 1. What value(s) of c, if any, will satisfy the IVT for the given function f and the given...

A: topic - intermediate value theorem

Q: Suppose that f(z) is an entire function and there exists aceR s.t. Re(f(2)) < c for all z. Show that...

A:

Q: 11

A: We will find the derivative. 

Q: 1- 8x + 72(-1) (k + 7)! k! k=2

A:

Q: A cylindrical tank of radius 20 ft and height 3 ft is two-thirds filled with water. Find the work re...

A: This question can be solved using the concepts of application of integral.

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = x0 and then find the nth Taylo...

A: This question is based on Taylor series.

Q: The standard form of the first order linear differential equation x'y'+ry +2=0is

A: The standard form of a first-order linear differential equation is:

Q: Write the first five terms of the sequence: +00 {Vn² + 2n – n}" Determine whether the sequence conve...

A: The given sequence is {√(n2+2n) - n}.

Q: Use the formula for the binomial series: (1+x)" m(m-1) 2 + 2! m(m-1).-(m-k+1). k! 1+ тx + + = ... .....

A: Given:     Maclaurin series for 1+x18  Formula for binomial series:      1+xm=1+mx+mm-12!x2+...+mm-1...

Q: Write the first five terms of the sequence, give the exact answer: +00 In +1Sm-1 Determine whether t...

A:

Q: Find the derivative of the function. f(z) = Vī – 8V7 f (x) 12r – 83x23

A:

Q: Find the domain of the function H(x) = 2x +3/x3-4x Solve the following (i) |10 - 3x | 13.

A: The given function,  H(x)=2x+3x3-4x Note:    Multiple questions are given, we are answer only one qu...

Q: Assume that f is continuous and | f) dt 3 sin х — х сos x. 0, (a) Determine f(;n). (b) Find f'(x).

A:

Q: Current Attempt in Progress Use the ratio test to determine whether the series converges or diverges...

A:

Q: Since the terms of the series do not approach 0, what can we conclude? The series converges. O The s...

A: Given query is to find the which statment is true.

Q: JA 1 J 40. f(x) x'+3x + 7

A: Given query is to find the interval where function is increasing and decreasing.

Q: Evaluate the integral. 3 sin x dx +C |3D

A:

Q: Use the Quotient Rule to find the derivative of the function. Re) = Sos(t) f'(t) =

A: We will find the derivative of the function f(t) as following.

Q: Make a 1 rational equation problem involving 3 rational expressions with binomial term with solution...

A:

Q: Solve the given differential equation by undetermined coefficients. y"- 2y' + 2y e2*(cos(x) – 8 sin(...

A:

Q: Q2) Show that y = 35 x* – 30 x2 +3 satisfies ( 1- x² )y" – 2xy' + 20y = 0 %3D

A: y =35x4 - 30x2 +3 satisfy (1-x2)y" - 2xy' +20y =0 for this wew find  y" and y' y' = 140x3 - 60x y" =...

Q: Determine the volume of the solid obtained by rotating the region bounded by y= 2x2 and y = x³ about...

A: Let's find. 

Q: n + 3 n- 1

A: Given query is to find the series converges or diverges.

Q: Find the arc length L of the graph of the given equation from P to Q or on the specified interval. y...

A: Solution is written in below steps.

Q: 8 구 6 5 4 10 -9 -8 -7 -6 -5 -4 -3 -2 2 -4 -6- -10- Find the parametric equations for the graph shown...

A:

Q: 2. xdy+(y-xy +2)dx=0

A:

Q: 32. In y = 2y² - x; (2, 1)

A:

Q: Atmospheric

A: We will find the height of the mountain. 

Q: Find the Taylor polynomials of orders n = 0,1, 2, 3, and 4 about x = xo and then find the nth Taylor...

A:

Q: Use the Chain Rule to express dy /dx in terms of x and y: y = csc t аnd x = sec-1 t

A: Given  y=csct and x=sec-1t  

Q: 6 for the Use sigma notation to write the Taylor series about x = function. 1 x+5 k =

A:

Q: asap

A: We will verify the differential equation 

Q: df 1 at the point x 51=f(3). Let f(x) = 5x° - 9x-3, x2 1.5. Find the value of dx df The value of at ...

A: f(x)=5x3-9x2-3, x≥1.5The value of df-1dx at the point x=51=f3

Q: Use the formula for the binomial series: (1 + x)" = т(т-1) 2 2! m(m–1).-(m-k+I),k + + 1+ mx + %3D .....

A: The maclaurin series for 1+x7

Q: solve question 32 with complete explanation asap

A: Topic:- complex number

Q: 2. Evaluate [log(-1-/)(-2- j2)] tan(4 + 3i) cosh-1

A:

Q: general equation in y dx 2. The linear differential equation dy x = y' has the integrating factor eq...

A:

Q: EXERCISES O soke the follwing linear syskems of equations: 4x -Ry +3z = -2 2x +2y + Sz = l5 8x-Sy-22...

A:

Q: Use the difference an+1 – An to show that the given sequence {a, } is strictly increasing or strictl...

A:

Q: Find the exact value of the expression. cos(tan-1() 35

A:

Q: Eliminate the parameter to find a Cartesian equation of the curve, for – x(t) = 100 tan² t y(t) = – ...

A: We are a parametric equation of curve as follow: x(t) =100 tan2t  y(t) = - 12sect Where -π/2 &lt; t ...

Q: 1. S(z) = 64 –³ VI 2. -12r2 S(z) = 1+ 8x²

A:

Q: find asymo tote s of the following cerves then graph them X-1 X?(X-2)

A: Solution: f(x)=x-1x2(x-2) vertical asymptotes Take the denominator and compare it to 0

Q: 1. Evaluate the following integrals using Cauchy's formula: (a) sin z -dz. |z|=1__%

A: Hello learner, we can answer first question as per the honor policy. Please resubmit other question ...

Q: B In Problems 31-40, find the intervals on which the graph off is concave upward, the intervals on w...

A: Find your answer below 

Q: Use the formula for the binomial series: m(m–1)---(1n–k+1), +. よ! (1 + x)" 1+ mx + m(1m–1) 2 + ... 2...

A:

Q: Given A=-3ay +2ax +4az, B=3az -2ay + 5ax and C=-3ax +4az +5ay. Find a. A+2B-C and b. I 2A-3B+C I.

A: Given A=2ax-3ay+4azB=5ax-2ay+3azC=-3ax+5ay+4azA+2B-C=2ax-3ay+4az+10ax-4ay+6az--3ax+5ay+4az          ...

Q: In a certain bank account, after 10 months, the amount of money is given by the function S(t) = S0e^...

A:

Q: 23) Find the limit for the following function by using L'Hopital's Rule: x². e* lim x→0 tan² x

A: limx→0x2extan2x

Q: Find the amplitude, period, and horizontal shift of the function. y = -3 sin(6(x +)) amplitude perio...

A: Given query is to find the period amplitude and the horizontal shift.