Prove that `sin^5theta=1/16[sin5theta-5sin3theta+10sintheta]`
Concept: Expansion of sinnθ, cosnθ in powers of sinθ, cosθ
Expand `2x^3+7x^2+x-1` in powers of x - 2
Concept: Expansion of sinn θ, cosn θ in terms of sines and cosines of multiples of θ
Find all values of `(1 + i)^(1/3` and show that their continued product is (1+ 𝒊 ).
Concept: Powers and Roots of Trigonometric Functions
By using De Moivre's Theorem obtain tan 5θ in terms of tan θ and show that `1-10 tan^2(pi/10)+5tan^4(pi/10)=0`.
Concept: D’Moivre’S Theorem
If y=(x+√x2-1 ,Prove that
`(x^2-1)y_(n+2)+(2n+1)xy_(n+1)+(n^2-m^2)y_n=0`
Concept: Leibnitz’S Theorem (Without Proof) and Problems
Find the n^th derivative of `x^3/((x+1)(x-2))`
Concept: nth derivative of standard functions
Find the nth derivative of cos 5x.cos 3x.cos x.
Concept: nth derivative of standard functions
If `y=e^(tan^(-1)x)`.Prove that
`(1+x^2)y_(n+2)+[2(n+1)x-1]y_(n+1)+n(n+1)y_n=0`
Concept: Leibnitz’S Theorem (Without Proof) and Problems
Evaluate `lim_(x->0) sinx log x.`
Concept: nth derivative of standard functions
If U = `e^(xyz) f((xy)/z)` prove that `x(delu)/(delx)+z(delu)/(delx)2xyzu` and `y(delu)/(delx)+z(delu)/(delz)=2xyzu` and hence show that `x(del^2u)/(delzdelx)=y(del^2u)/(delzdely)`
Concept: Successive Differentiation
If y=sin[log(x2+2x+1)] then prove that (x+1)2yn+2 +(2n +1)(x+ 1)yn+1 + (n2+4)yn=0.
Concept: Leibnitz’S Theorem (Without Proof) and Problems
Find nth derivative of `1/(x^2+a^2.`
Concept: nth derivative of standard functions
Prove that log `[tan(pi/4+(ix)/2)]=i.tan^-1(sinhx)`
Concept: Logarithmic Functions
Obtain tan 5𝜽 in terms of tan 𝜽 & show that `1-10tan^2 x/10+5tan^4 x/10=0`
Concept: Separation of Real and Imaginary Parts of Logarithmic Functions
If y=etan_1x. prove that `(1+x^2)yn+2[2(n+1)x-1]y_n+1+n(n+1)y_n=0`
Concept: Separation of Real and Imaginary Parts of Logarithmic Functions
If `Z=x^2 tan-1y /x-y^2 tan -1 x/y del`
Prove that `(del^z z)/(del_ydel_x)=(x^2-y^2)/(x^2+y^2)`
Concept: Logarithmic Functions
Find tanhx if 5sinhx-coshx = 5
Concept: Separation of Real and Imaginary Parts of Logarithmic Functions
Separate into real and imaginary parts of cos`"^-1((3i)/4)`
Concept: Separation of Real and Imaginary Parts of Logarithmic Functions
Considering only principal values separate into real and imaginary parts
`i^((log)(i+1))`
Concept: Separation of Real and Imaginary Parts of Logarithmic Functions
Show that `ilog((x-i)/(x+i))=pi-2tan6-1x`
Concept: Logarithmic Functions
Semester 1 (FE First Year) Applied Mathematics 1 can be very challenging and complicated. But with the right ideas and support, you will be able to make it work. That’s why we have the semester 1 (fe first year) Applied Mathematics 1 important questions with answers pdf ready for you. All you need is to acquire the PDF with all the content and then start preparing for the exam. It really helps and it can bring in front an amazing experience every time if you're tackling it at the highest possible level.
Applied Mathematics 1 exams made easy
We make sure that you have access to the important questions for Semester 1 (FE First Year) Applied Mathematics 1 B.E. University of Mumbai. This way you can be fully prepared for any specific question without a problem. There are a plethora of different questions that you need to prepare. And that's why we are covering the most important ones. They are the questions that will end up being more and more interesting and the results themselves can be staggering every time thanks to that. The quality itself will be quite amazing every time, and you can check the important questions for Semester 1 (FE First Year) Applied Mathematics 1 University of Mumbai whenever you see fit.
The important questions for Semester 1 (FE First Year) Applied Mathematics 1 2021 we provide on this page are very accurate and to the point. You will have all the information already prepared and that will make it a lot simpler to ace the exam. Plus, you get to browse through these important questions for Semester 1 (FE First Year) Applied Mathematics 1 2021 B.E. and really see what works, what you need to adapt or adjust and what still needs some adjustment in the long run. It's all a matter of figuring out these things and once you do that it will be a very good experience.
All you have to do is to browse the important questions for upcoming University of Mumbai Semester 1 (FE First Year) 2021 on our website. Once you do, you will know what needs to be handled, what approach works for you and what you need to do better. That will certainly be an incredible approach and the results themselves can be nothing short of staggering every time. We encourage you to browse all these amazing questions and solutions multiple times and master them. Once you do that the best way you can, you will have a much higher chance of passing the exam, and that's what really matters the most!
