Solve the integral equation ) = 1 + 2. Ĵªelax(x−1) g(1) dt, g(s) = <-1 onsidering separately all the exceptional cases.

Q: dx J a-3)(x+1)

A:

Q: Question -2x2 + 4x dx J (x² + 1)(x² – x)

A: Given: ∫-2x2+4xx2+1x2-xdx

Q: Let 7 (t) = Find 7' (t)

A:

Q: Find the equation of the tangent line to the graph of g(x)=2* – 2x In 2+1 - at

A: Follow next step

Q: 1 •[₁ F(X) -1 Given f(x) dx = 0 and (a) [f f(x) and [₁ f(x) dx. 1 (c) [₁² (d) (b) • [² f(x) dx - [°…

A: (a)

Q: Solve the intial value problem f'(x) = 7x (x6-4) withf (I/6)=0.

A:

Q: The integrating factor of xdy + ((3x + 1)y – xe-2*)dx = 0 is %3D O a. xe* O b. 3xe* O c.x'e* O d.…

A: given :

Q: Q1: Solve ýex+y 2 = cosh x + √√cosh² x − 1 + 7e*

A:

Q: The equation x''+ x = sin t has a bounded solution. true or false ?

A:

Q: Integrate the following functions f(x) = 4/2/201 22²2 + + [2,³] X 3 x

A:

Q: Find the function F(x) such that F' (x) = 8x and F(0) = 1 O 1+4x^2 O 4x^2

A: topic- Functions

Q: Q3) Find the derivative of y for all functions the following (1) y = 0 (sin (In 0) + cos (In 0)),…

A: Since you have posted multiple questions, we have solved the first question for you, if any specific…

Q: Solve the intial value problem: dy/dx=[y(y+sinx)] /  [1/(1+y^2)+cosx-2xy]  , y(0)=1

A:

Q: Let F(x) f(f(x)) and G(x) = (F(x))² and suppose that f(3) = 2, f(2) = 2, f'(2) = 2, f'(3) = 14 Find…

A:

Q: Differentiate x *. Hence find [x(2+ x)e* dx.

A:

Q: You have to sketch the integration of the first graph

A: The integration of a function is the representation of the area under the curve of the function. The…

Q: Differentiate. f(x) = In (4x+5)(x+8)5 (1-4X)6

A:

Q: x f(x) f'(x) g(x) g'(x) 1 1 1 3 3 4 3 65 1 3 -2 3 4 4-2 -6 51 6 The functions f and g have…

A:

Q: 3. Solve e*³ (3x

A:

Q: What is r' (x) when r(x) = In (x³ + 2x2 + 3x +1)? Select the correct answer below: In (3z2 + 4z + 3)…

A:

Q: dy Зу (x + 1)+ dx x+1 2.

A: First i i have find the integrating factor and the general solution.

Q: r1/2 (1- 2x) dx + J1/2 1-2x dx= 2x) dx = Submit Skip (you cannot come back) Type here to search hp

A: We have to solve

Q: Solve the differnetial equation: dy/dx=3/x^2-3x^2+2 with the initial conditions (1,8). show work

A: By using variable separable method we can calculate the given differential equation. See attached…

Q: Integrate √ 2²4 x²ln(x) dx.

A:

Q: Solve dy / dx = 1 /( x^2 – 1) , for y(0)

A: Given,                        dydx=1x2-1;         y(0)=0

Q: Q5. (A) Evaluate [- dx +4x+3 (B) Use integration by part to evaluate ſe* sin (e** )dx

A:

Q: 5- (2xe" + e')dx + (x² + 1)e³dy = 0

A: solving given DE by separation of variables.

Q: All extrema of the function f (x)=x* – 2x³ – 9x² +1 _for -2<x54

A: Given that, fx=x4-2x3-9x2+1 and -2≤x≤4 Since, f-2=-24-2-23-9-22+1=16+16-36+1=-3 And…

Q: Where is the function f(z) = Log(z2 + 1) holomorphic? What is its derivative in the region where it…

A: The function f(z)=log(z2+1) is holomorphic in the region where its argument, z2+1,does not vanish.…

Q: (2xe" + e*)dx + (x² + 1)e'dy = 0

A:

Q: y^2(1-x^2)dx+x(x^2+2x+y)dy=0 solve using integrable combinations

A:

Q: pund axdy of e?- ysinx = 5-t Maing my licit differenti ation

A:

Q: Find the derivative of the function y x² + 6x +1 √x

A:

Q: find dy Jx рус 3 зах

A: