Let Ci and co be arbitrany canstants. Geneial solutian to the hamogencus dfferenti al oquation 1692 y" + 39xy'+25y =0 y(x) = Ci yı(2) + Caya (z) - C. is the function %3D + C2 The e sdution to the inihal value problen. unique 1692 y"+ 39 xy'+ 2sy =0 y'C.) -9 39 Ly+ 2sy + 2sy so ya) = -9 IS the funchon y(z) = for x E

Q: MARQUEZ, YSLE RHE INE BSME IB COE 102 Given: y xC xt3)? ở. ye x[2Cx13)C1)]+ (x13)°C1) y: 2x Cx+3) +…

A:

Q: solve

A: We have to choose the correct answer from the give

Q: differentiate the question 1 to 5

A:

Q: y = log (cos(2x) );y'=* %3D %3D O 2 tan ( 2x ) / In (10) O - 2 tan ( 2x ) / In (10) O 2 cot ( 2x ) /…

A:

Q: If f'Cx) ="e find all wrical auedy or honilantal Ao

A: Here we have to find the vertical and horizontal asymptote of the function f'(x)=-e1xx2

Q: ****** x² x3 x4 +: 6 P4(x) = 1+ x + x +¬+ 2 24

A:

Q: 1.2 s Find first derivative for the following functions. dx (a) y = 5+ 6x + 4x3 (b) y = In(2x) +x*…

A: Note:-Since you have asked multiple questions, we will solve the first question with three sub-parts…

Q: f(x) = (x² + In x)(x³ + 4x + 5) f(x) = (x2+5x) In x (Vx-6x)e* %3D

A: We have to find the derivative for each of the functions. 1. fx=x2+lnxx3+4x+52. f(x)=x2+5xlnxx-6xex

Q: Let n be a positive integer. Prove that 1:(1)+2 (;) . (:)- n n + 2 . +n . n2"-1. ... n

A: We have to prove the identity: 1·n1+2·n2+....+n·nn=n2n-1

Q: Find the derivative

A: Given function is  By using the properties of log  log(m)-log(n)=log(m/n) and log (m^n)=nlog(m), we…

Q: HiHtar is THe secoyd derivative OF Y

A:

Q: Kim throws a ball against a wall at time t = 0 At time t = 1 , it hits the wall and then at time t =…

A:

Q: Review for Algebra 2 Semester Exam 6. Find the value of f(2) and g(6) if f(x) = 5x + 9 and g(x) = 6x…

A:

Q: Suppose that the p.d.f. of X is as given f(x) = 3(1-x)2 for 0<x<1 and 0 otherwise Find the pdf of…

A: If Y=g(X) is the transformation then the PDF of Y is given by; fY(y)=fX(g-1(y))ddyg-1(y)

Q: A1) Using the definition of derivative, find the derivative of f(x) = x2 + 8x + 8.

A:

Q: 4) The population of frogs has been declining in North Dakota. At one lake, researchers found there…

A:

Q: Since f'(1) number. Th number line and decreas YOUR TURN 3 Find where f is increasing and decreasing…

A:

Q: B- Find dy / dx for the following functions: (3 mark) * 1- Y= sin( coshx log, 2 ) 1 Add file 2- (3…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Suppose that Var(X) = 934.93, Var(Y) = 11297.02, and Cov(X,Y) = 2912.35. What is Var(.87X + .13Y)?

A: The given .The aim is to find the .The formula used .

Q: Show that the function F= the fallowing canohical tranformatione %3D COS and %3D

A: Determine q from Q=ln1+qcosp and then express q and P in terms of p and Q.…

Q: Find the derivative. 5 (2x-3)* f(x)=- OA f(x)=- <-40 (2x-3)³ O c. f(x) = OB. f(x)=- OD. f(x) = 5…

A:

Q: If ƒ(x) = (6x² − 2) (4x + 6), find: f'(x) = Suggestion: Verify using product rule and by simplifying…

A:

Q: Calculate L6 for f(x) = \6x + 1 over [1,3]. (Give your answer to three decimal places.)

A:

Q: Which of the following is an/are anti-derivative(s) of – 36 cot (18x) cosec? (18x) |18cosec? (18æ)…

A:

Q: Which of the following functions has a vertex of (4,7 O y = (x+ 4)² +7 O y = (x – 4)² + 7 O y (x +…

A: We know that the vertex form of a parabola is y= a(x−h)2  +k  where (h,k) is the vertex.  Thus, for…

Q: calculate the value of coth-1(x) when x is greater than 1

A:

Q: Suppose f"(x) = N (h) + a,h + azh2 + azh + -. The value of N½(h) using Richardson's extrapolation…

A:

Q: dn Find a general formula for den by identifying a pattern in parts (a) through (c). To begin,…

A: We use the given details and differentiation formula to find answer

Q: consider the ff. function: f(x, y) = cot" "^ (1+x) - 2x + ³y 3y 2e

A: Given the function             f(x, y)=cot-1(1+x)-2ex+3y Where              x=s2+t2,  and…

Q: Find the derivative y = e* In x In x ex E + e* In x O None of these

A: Use product rule:-