8) Find the x-coordinates for the points of inflexion of f(x) = %3D a) O x = 0, x = 1 b) O x = 1 only c) O x = -1 and x = 1 d) O x = 0 only

Q: find extreme Value of function fex, y) = x°t 3xy?-3x²-3y=t7 1

A: Given:  fx,y=x3+3xy2-3x2-3y2+7 ⇒fx=3x2+3y2-6x, fy=6xy-6y To find extreme points put fy=0, fx=0…

Q: Find the values of a and b that makes f continous everywhere if  f(x) =

A:

Q: /s. 5. Show that 2x?dx = f 2x²dx + S, 2x²dx + f 2x²dx %3D

A:

Q: B)Is w = Ze² analytical function or not?

A:

Q: Find * 1 y" if y =-(x -3x)

A:

Q: Differentiate in two ways: y = (x + ¹)(x - ² + 1)

A: We know that the product rules of the derivative d/dx(uv)=u*(dv)/(dx)+v*(du)/(dx)

Q: Find &, for f(a, y) = xy? – 4.ry² +x*. 3

A: This question is related to partial derivatives.

Q: Find the distance between 4y + 3x = 4 and point (0, 5) O 3.4 O 3.2 O 2.8 3

A:

Q: Determine the length of x = 3+ (y – 2)², 4<x< 19

A:

Q: Consider the two following graphs and answer the following questions. a) Are G and H isomorphic?…

A: The graphs given are as follows:

Q: What is the domain of the function y=sec(x+π)

A:

Q: Zez analytical function or not?

A: We check whether w=zez is analytic function or not.

Q: 2-2x find (fif) G) to use f Cx) = x

A:

Q: Q/ Let x~P(m) and let y = 5x , find the p.d.f of y

A:

Q: Differentiate w.r.to "x" y = xsin-1x +x/(1-x3)

A:

Q: Find V · (V x F), if F(x, y, z) = 5e*?i+ 9xe"j – 6e²k. V · (V × F) =

A:

Q: Find the value of x x - 2 x - 1

A: claim- find the value of x

Q: Estimate f(2.1, 3.8) given that f(2, 4) = 6, fx(2, 4) = 0.9, and f,(2, 4) = -0.2.

A:

Q: If f.(x, y) = 13x + 8y + 11, || f.(3, 2) = a. b. f„(5, 2)

A: Given, fx(x,y) = 13x + 8y + 11 a). fx(3,2) = 13*3 + 8*2 + 11 = 39+16+11 =&gt; fx(3,2) = 66

Q: (4xy) w = 3 sin (4xy tan (z) +4 In (5yz)- 8 e

A:

Q: 5 B) Find y" for the function y = x + Vx at p(1,3)

A: Given query is to find the double derivative of the expression at point p.

Q: fluu) is a function, fl13|=0 fal-1.31=2 ,fg(-1.3) =-3 glxiy.z)=f(xyz,xzyzz?) So Vg(1,-1,1)? %3D

A: Gradient of the function w=f(x,y,z)  is given by ∇f=∂f∂x,∂f∂y,∂f∂z Chain rule of derivative: Let us…

Q: Find the domain and range ofy = |2sin4x 21

A: We need to find domain and range of y=2 sin4x-12. The domain of a function is the set of input or…

Q: Find all complementary functions of the equation 25y" 40y + 16y = 0 a. e4x/5cOSX, e4x/5sinx b.…

A:

Q: 2-3) ے دن 3 1

A: We are given.To Find:The above integral.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.