Use integrating factors to solve (x² + y² + x)dx + xydy = 0. %3D

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

A:

Q: Find the derivative of the function. f(t) = 8r2/3 - 4t/3 + 8 f '(t)=

A:

Q: Find the unit vector of A=3ax+2ay-3az

A:

Q: Q5) Use the Chain Rule to express dy /dx in terms of x and y: y = csc t and x = sec-1t

A: To find: The value of dydx in terms of x and y. Given information: y=csct,x=sec-1t  

Q: 1. If x - y = 25, then y" = c.) d.) - a.) b.) 2. If y = cos(3x+1), find y a.) 3 sin(3x+1) b.) -3 sin...

A: Authoring guideline: As per the authoring guidelines, we can solve only the first three parts. Repos...

Q: If u = f(x), then f- dx ++2x+1 +C for some constant k. Compute kf(1).

A: In this question we have to compute kf(1).

Q: Question 4 (2x* +)x J (x8 + 4x5 + 4x²)² Using u-substitution and transformation of the integrand, th...

A:

Q: a. What is the horizontal distance between anchor 1 and the base of the antenna? feet Preview b. Wha...

A: For solving this, 1st change radian to degree. Then apply trigonometric relation. 

Q: 2. Given: a1 16, а4 1024 Find: az =? а. 12 b. 18 с. 36 d. 64

A:

Q: Determine f(x) so that cos(In²x) f (x) dx = sin(In²x) + C

A: Let t =log2 x and follow step 2nd . 

Q: Determine whether the series converges, and if so find its sum. 4k+2 7メー1 k=D1 1) This series can be...

A:

Q: Eliminate the parameter to find a Cartesian equation of the curve, for - くtく æ(t) = 4 tan? t y(t) = ...

A: Given

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A:

Q: Solve each of the following DEs by determining its integrating factr. y(xy+2)dx+(x²y+8x-4y²)dy = 0

A:

Q: Use sigma notation to write the Taylor series about x = xo for the function. 6 In r; xo = 1

A:

Q: ollowing functions: b) y = (cos x)Vx*

A:

Q: 2:(y –x² }tx+ dy =0 1.

A:

Q: *e「ス+

A:

Q: Q1) Evaluate the following integral using By Parts Method: y = х.In(x3 + x) dx

A:

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

A: Given problem:- Find the Taylor polynomials of orders n = 0, 1, 2, 3 and 4 about x = x_{0} and then ...

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: Eliminate the parameter to find a Cartesian equation of the curve. x(t) = 9 – 19t y(t) = 38t + 21 (a...

A:

Q: Evaluate the integral. In(10 x 9) dx +C

A:

Q: The integral J dx reduces to e+1 where u = f(x) and for some constant k.Compute f(1).

A:

Q: 2/Given frx)= 3Xtl a evaluate (flof(s) 1-SUEJECT NOTEBOOR 9. fo

A: Topic:-  function

Q: The integral / 2' )cos(2*) dx takes the form k cosu du when u=2* and f (x) =x- 5. What is the value ...

A: we use the formula ddx(ax)=ax lna

Q: dx 6. Evaluate 5-16r

A: Evaluate ∫dxx83-16x2

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A: Please see the below picture for detailed solution. 

Q: The owner of a cattle ranch would like to fence in a rectangular area of 3000000 m² and then divide ...

A: Solution is written in below steps.

Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the exac...

A:

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

A: Let's find. 

Q: Prove that the given equation is a solution to the given DE: 1. = C,e3* + C2e2x + C3e* ; y" – 6y" + ...

A: As you have asked for the solution of Question 3-5 only. So I am solving those only. Hope it helps y...

Q: k If u = f(x), then f dx x4+2x²+1 +C for some constant k . Compute kf(1). x2+1

A: topic - functions and indefinite integral

Q: Set up a definite integral with respect to x (dx) (set up only, do not evaluate the integral) to fin...

A:

Q: Q3) Find the limit for the following function by using L'Hopital's Rule: x2. e* lim x→0 tan2 x

A:

Q: For ſ k*e3* dx = 1 (ke)3x 3 (1–In 2-1) + C. If u = 3x, then k =?

A:

Q: An android phone and a bluetooth speaker together cost Php6500.00 . The phone costs Php2000.00 more ...

A:

Q: Solve the following differential equation xy = y(Iny- Inx) Select one: O a. In(2)- L: E CX O b. In(2...

A:

Q: Find a parametric representation for each of the following surfaces: (a) 36(x-1)² +25,y² +9(z+2)² = ...

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other...

Q: if we let u-4x- 1 for the 2 tan(4x-1)-3 cos (4r-1) dx, what will be the resulting integrand? cos 4x-...

A: The given integral is  (2tan(4x-1)-3cos2(4x-1))/cos(4x-1).

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

A: Given series:  ∑k=1∞k(1/5)k Then , ak=k(1/5)k ak+1=k+1(1/5)k+1

Q: Solve using the U-Technique Question 1 Consider the integral 2nx g(x) dx . There is a function g(x) ...

A: Given

Q: n exponential function y= f(). (2,8.64) Preview 1.2

A: We know that,Exponential function is of form y=abt. and here by using graph it is clear that , graph...

Q: Find the equation of a NORMAL LINE in SLOPE-INTERCEPT FORM to the given cu below f (æ) = (x² + 1)* %...

A: Note: The normal line is defined as the line that is perpendicular to the tangent line at the point ...

Q: Find the derivative of f(x) = sec(tan(x) + cot(x))

A:

Q: Find dy da Given: x² – y³ = 2xy

A:

Q: 4x – 1 for the 2 tan(4x-1)-3 cos² (4x-1) dr. what will be the resulting integrand? If we let u = cos...

A:

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

A: Given,           xdy+y-xy+2dx=0To find : Solve the differential equation.

Q: Evaluate the integral. -2x. + C dx NOTE: Enter the exact answer.

A:

Q: Find the solution of the following Differential Equations 1) ydx+ xdy 0 2) (xdy- ydx)/x = 0

A: Find your answer below