1. Find the y" of y (4x-3x + 1)9 (5x + 7)2 1/2

Q: Show that the sequence too n! 217 is eventually strictly increasing or eventually strictly decreasin...

A:

Q: Verify that the indicated function is an explicit solution of the given differential equation. Assum...

A: Given:     y''-6y'+25y=0     y=e3xcos4x      y'=ddxe3xcos4x  Apply the product rule: ux·vx'=u'x·vx+u...

Q: Find the equation of tangent line to graph at f at the given point.

A:

Q: Score Grade/Section: Date 13. What is the solution of the inequality? A. x > -1 or x 1 or x -2

A:

Q: Find the domain of the vector-valued function. r(1) =In(1– 1)i+v4-1j O (-1,4] O 14,-1] O 1,4) O (1,4...

A:

Q: (y-2)(y²+4) 4. S x3-x2+1 dx (x²+2x+2)2

A:

Q: MY NOTES ASIK YOUR TEACHER Consider the following differential equation. (x y?)y - y2 Let (x, y) FIn...

A: Given    x2+y2y'=y2 We have to find ∂f∂y and region of XY plane

Q: (2y² + 3x) dx + (2xy) dy = 0 .

A:

Q: Q.2\Prove the Maclaurin series: In(1+ x) = En=1' (-1)"-1x" ,-1<x< 1 . %3D

A: f(x) = ln(1+x)f0(0) = 0f1(x) =f'(x) =11+xf1(0) =1f2(x) =f''(x) =-1(1+x)2f2(0) =-1f3(x) =f'''(x) =2(1...

Q: Sketch one possible graph of a function f(x) defined on R that satisfies all the listed conditions. ...

A:

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

A:

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A:

Q: The derivative of the function y = xe(5+sec(2x)) is: хе %3D

A: Explanation of the answer is as follows

Q: 10 (100*+1) dx

A: I have stated the used formulas in the solution 

Q: 2022 2. Evaluate lim,tx (1+

A:

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

A:

Q: Use the formula for the binomial series: m(m-1).(m-k+1). k! m(m-1) (1+ x)" 1 + mx + 22 + ... + %3D 2...

A: We have to obtain the Maclaurin series for 1+x5

Q: solve the given ini tial -value problem dx -x = gyz , x(6)=1 dy 2. X (y). %3D Give the largest inter...

A: linear differential equation

Q: . Find two positive integers such that the sum of the first number and four times the second number ...

A:

Q: Fill in the table with the correct information by referring to the function f below. The table conta...

A:

Q: 1. Find the y" of y = (4x - 3x + 1) (5x + 7) 2. Find y" given y = cosx + sin 3x 3. Find all the deri...

A:

Q: Use the limit comparison test to determine whether the series converges Σ 7k + 5 k=1 The series

A:

Q: dx The integral / can be re-written as 1- x (A lim (2 - 2 V1-m ) m-- 00 B lim (-2 + 2 V1–m ) m-- 00 ...

A: ∫-∞0 dx1-x

Q: Use the formula for the binomial series: mm-1)2 ** (1+x)" = 1+ mx + m( m1)---(m-k+1), k! + ... 1+ £=...

A: The given expression  1+x8

Q: Use the formula for the binomial series: (1+x)™ = 1 + mx + x² + .… + m(m–1) m(m–1).-(m-k+1). k! + .....

A:

Q: sinx dx TI Cosx t ecoS X 2. e cosX

A: integration

Q: II. For each of the following functions, find the indicated derivative using the definition. Show so...

A:

Q: Q2) A) Graph the curve Y = x (x +5)(x-3) between the value of x [-5, 3], then find the area of the f...

A:

Q: Write the first five terms of the sequence: {Vn? + 7n – n}n=1 | Determine whether the sequence conve...

A:

Q: Find the third derivative of the function: Y = =+ VX3 %3D

A: To find the third derivative of the function: y=1x+x3  

Q: Set up but do not evaluate, an integral for the length of y = Vr +2,1<r<7 using, 2 dy dx (a) ds = 1+...

A:

Q: Tutorial Exercise Find the indefinite integral. sin 70 V cos 70 de Step 1 To solve the integral sin ...

A: Given problem:- ∫sin3(7θ) √(cos(7θ)) dθ  

Q: d tant dt (cost - 4

A:

Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate int...

A:

Q: B. Find all x values at which f(x) = 2-6-16 is not continuous. Identify the removable x+2 discontinu...

A:

Q: sin 0 d0 cos? 0 +5 cos 0 +6

A:

Q: 1. Find the domain of the following functions: х - 3х -10 a. y = х-5 x+ 5 b. y = - Vx- 5

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...

Q: (8) Solve -53 (9) Solve (-5)3 (10) Solve -64 (11) Solve (-6)4 (12) Solve 20-1 (13) Solve 200

A: Basic exponent problem

Q: みm 'cU24onba buimoll ut anos Give answers occurate to o tu100yら19 SONe the foilowing tigures 6.8= .3...

A:

Q: For eccn of the functions below, calculate the in verse function : h-dre=(ワナ 2)9u)%3D33%-1 +5 る) hx)...

A:

Q: Find the maximum or minimum value of the quadratic function g(x) = 2x + 6x + 3.

A: Given,           gx=2x2+6x+3To find : The maximum or minimum value of the quadratic function.

Q: 1) exist. Show your work and carefully explain your reasoning in complete Find the limit of the foll...

A:

Q: Determine whether the following series is convergent or divergent. 1 1+ 1 t.. 22 33 44 O The series ...

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 5 cosh(/x) xp

A: ∫5cosh(x)xdxlet x=tdifferentiate on both sides12xdx=dtThen ∫5cosh(x)xdx=5∫2cosh(t)dt

Q: Using appropriate substitution, the integral S ex3 dx is equal to: X4

A: Indefinite integral

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 2(-1)*+1_k+ 10...

A:   ak =(-1)k+1 k+10k(k+11) {bk} =k+10k(k+11)bk - bk+1 =k+10k(k+11)-k+11(k+1)(k+12)=k3+23k2+142k+120-k...

Q: 3. Find from the following functions: dx y = (12x + 2)(7x + 3)3/2 18+2x+7 y = (i) (ii) (3x+6)2/3

A: 3)I) y=(12x+2)(7x+3)3/2 ii)y=(18x2+2x+7)/(3x+6)2/3.

Q: -) A) Find by using chain rule if f = ( , u = -1,x=-1 dx u+1 B) Evaluate the following integral: SV2...

A: This question is based on chain rule differentiation and indefinite integral.

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

A:

Q: Jse the definition of Taylor series to find the Taylor series (centered at c) for the function. 4 f(...

A: