Math subjective test 2

Provide solution to the following questions:

  1. Evaluate the following: ∫xsin3xdx

This question requires integration by parts

Let u=x and dv/dx =sin (3x)

du=x dx=1

But

Math subjective test 2 Image 1 Math subjective test 2 Image 2
  1. The line y = mx + 1 is a tangent to the curve y2= 4x .Find the value of m.

Substitute y=mx+1 in =4x

= 4x

Expanding = 4x

+1+2mx-4x=0

+x(2m-4)+1=0

The tangent touches the curve at one point hence the roots are equal. Therefore, discriminant =0

-4((1) = 0

+16-16m-=0

16-16m=0

16=16m

M=1

  1. Solve the following differentialequation:(x2y2) dx + 2 xy dy = 0.

Te integrating factor of the equation is

Math subjective test 2 Image 3
  1. Solve system of linear equations, using matrix method.

xy +2z =7
3x +4y −5z =−5
2x y + 3z = 12

Math subjective test 2 Image 4

Hence

X=2

Y=1

Z= 3

Reference

Chirgwin, B., & Plumpton, C. (2016). A Assignment of mathematics for engineers and scientists. Elkins Park: Pergamon Press/Elsevier Science.

Improve Your Grades with Custom Writing Help
Homework Help
Writing Help
Editing Services
Plagiarism check
Proofreading services
Research Project help
Custom writing services
scanner
E learning blogs

Disclaimer : The study tools and academic assistance/guidance through online tutoring sessions provided by AssignmentHelp.Net is to help and enable students to compete academically. The website does not provide ghostwriting services and has ZERO TOLERANCE towards misuse of the services. In case any user is found misusing our services, the user's account will be immediately terminated.