Q: solve the equation 5 lim ( x-3 3y + 4x x - 3

Q: 8. . cos?rsin®x dx. COS 프2

A: Product Rule of integration : ∫u.v dx = u∫vdx -∫(dudx∫v.dx)dx dsin(x)dx=cos(x)  and dcos(x)dx=-sin(x...

Q: Question 16 Find the area of the parallelogram with the two adjacent vectors, a and b, to the neares...

A:

Q: Solve the given differential equation by separation of variables. dy ху + бу — х — 6 - - dx ху — 5у ...

A:

Q: dX; = X;(ydX, + tdt), d Хо 3D 1.

A:

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

A:

Q: 1.(Easy) In determining the integrating factor exp(S p(x) dx) for the first-order linear ODE y' + p(...

A: Given,            In determining the integrating factor exp∫pxdx for the first-order linear ODE.    ...

Q: sinx dx TI cosx t ecoSX 2

A:

Q: Evaluate the integral. 4 dx +C (1 – x2)ž NOTE: Enter the exact answer, without any trigonometric fun...

A: This question can be solved by the concept of integration by substitution(without any trigonometric ...

Q: 2022x -dx J x2 + 6x + 18

A: Solution of given integration question is written in below steps.

Q: For the sequence {an}, with lim an = 9, this means the terms in the sequence approach 9 as n becomes...

A:

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

A: ∑n=0∞ (-1)n+1 (n+4) xnan = (-1)n+1 (n+4) xn   limn→∞ an+1an < 1limn→∞ (-1)n+2(n+5)xn+1(-1)n+1(n+4...

Q: 4x 3 4X -e xp

A: To solve the following integral, we use substitution method

Q: 4x-1 4x-1 Calculate lim and lim If the limit does not exist but can 8х-5 8х-5 x→-00 be described as ...

A: Here, to evaluate the given limits  limx→∞4x2-18x-5  &   limx→-∞4x2-18x-5

Q: Question 3 Determine whether or not each of the following sequences is (i) bounded, (ii) monotone, a...

A:

Q: Question 6 of 9 Find the Taylor polynomials of orders n = 0, 1,2, 3, and 4 about x = x0 and then fi...

A:

Q: Solve the given initial-value problem. dy + y = In(x), y(1) = 20 dx (x + 2) y(x) = Give the largest ...

A:

Q: 3 - 2x? +x- 2 Use L'Hopital's Rule to evaluate Support your answer graphically. lim X2 x² +x-6

A: To find: The limit by L'Hopital rule. Given information limx→2x3-2x2+x-2x2+x-6

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

A:

Q: Use the Product Rule or Quotient Rule to find the derivative. f(x)=(−3x3−5x12)(−4x13−5)

A:

Q: Consider the following polynomial: f(x) = (x - 3)(2x – 1)(x + 2)(2x + 3) a. Write the polynomial in ...

A: Note:- According to our guideline , i didn't solved all subparts ( i  solved only first 3 subparts)....

Q: QJchange to Polar ( dxdy - Ji-y?

A:

Q: Answer and give a brief (1-2 sentence) explanation for each of the following questions. (a) Suppose ...

A:

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

A: We will find the derivative. 

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: 3xy Consider L- lim 3)-(0.0) a- Find the limits along the paths x=my. (Hint Find your answer in term...

A:

Q: Imagine yourself as a teacher. Explain how the graph of the function f(x) = ax + b depends about dif...

A: Line

Q: Use the limit comparison test to determine whether the series converges. Σ 3k +4 k=1 The series

A:

Q: Write the first five terms of the sequence, give the exact answer: +o0 n + 23 n=1 Determine whether ...

A: Given a sequence

Q: Which of the following are geometric series? 3" n=0

A: A)∑n=0∞ n53n=0+13+2532+3533+....(No common ratio found)B)∑n=0∞ 5n5=50+51+525+535+....(No common rati...

Q: y y 12 12 10 8 6 4 2 21 X 2 4. 8 10 12 4 (d) Show that the slopes of the graphs of f and f are recip...

A:

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

A: Area under the curve =∫ab(upper curve -lower curve)dx  

Q: What type of discontinuity is present in the function 3x – 2 if r 2 O The function has a removable ...

A:

Q: Integrate تلد ا - تم( فیگ S (a² – v²) * 22)* dv where " a" is constant

A:

Q: Which of the following statements is true about the function below? 6z² +8x+2 1-3r if æ # g(x) 4 if ...

A:

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

A:

Q: (4t°y – 15t2 – y) dt + (tª + 3y² – t) dy = 0.

A:

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

A:

Q: 2х — 4 f(x) = n = 4 x + 1 P4(x) = Need Help? Read It

A: We will find the mclaurian polynomial. 

Q: An+1 to determine if the sequence { ne" } is strictly increasing or strictly decreasing. an Use the ...

A: By see this solution in below

Q: (-1)"3nx" n2 – 5 Determine the interval of convergence of n=1

A:

Q: e 4x =dx Ve4x – e

A:

Q: Question 3 Find the length of the curve with the given vector equation. r(t) = (8 - 21) i+ (4 + 6t) ...

A:

Q: Find the radius of convergence and the interval of convergence. k(k + 4) Radius of convergence: Inte...

A:

Q: Write the first five terms of the sequence: (17 ln n +00 n=1 Determine whether the sequence converge...

A: The given sequence is 17ln(n)nn=1+∞. We have to check whether the sequence is converges or not. A re...

Q: The derivative of the function y = x(tan¬1(3x))² is:

A: This question is based on chain rule differentiation.

Q: x³ – 2x? – 4 dx x³ – 2x? 6. 13 -

A: As per Bartleby guideline,  we have answered only the 1st question, mentioned by you. Please repost ...

Q: Look for the volume of the solid generated by the Solid of Revolution revolving region bounded by th...

A: Let's find. 

Q: d tant dt (cost - 4

A:

Q: Find all angles 0 between 0° and 180° satisfying the given equation. Round your answer to one decima...

A: We can use the formula  θ=sin-1ab and sinθ=sin(180-θ) to solve this equation

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

A: y=3+ln(x)cos(ln(x)Differentiate w.r.t.xApply the Quotient Rule:  fg'=f '·g-g'·fg2dydx=ddx3+lnxcoslnx...