Thursday, July 5, 2018

List of Questions

Latex formatted questions may not properly render

Q1 Given f(x) = $$(7x^{4} - 5x^{3})$$, evaluate \[\frac{d f(x)}{d x}\]
 
 
 
 

Q2 Evaluate \[\int x^{2} e^{3x} dx\]
 
 
 
 

Q3 Find the volume of a sphere generated by a semicircle \[y=\sqrt(r^{2}-x^{2})\] revolving around the x-axis
 
 
 
 

Q4 Determine \[\int\frac{x^{2}+1}{(x+2)^{3}}\]
 
 
 
 

Q5 Evaluate \[\int \frac{x+1}{x^{2}-3x+2} dx\]
 
 
 
 

Q6 Find $$ \int {\sec^3 x}{\tan x}dx$$
 
 
 
 

Q7 Find the $$\int {\tan^3 x}{\sec^3 x}dx$$
 
 
 
 

Q8 Find $$\int x\cos ax^2dx$$ with respect to x
 
 
 
 

Q9 Evaluate \[\int x e^{6x} dx\]
 
 
 
 

Q10 Evaluate $$\int e^{4x}dx$$
 
 
 
 

Q11 Integrate with respect to x :$$ \int_{1}^{4}\frac{x+1}{\sqrt{x}}dx$$
 
 
 
 

Q12 Integrate with respect to x :$$ \int_{-1}^{3}\frac{x}{\sqrt{7+x^2}}dx$$
 
 
 
 

Q13 Integrate with respect to x :$$ \int_{-1}^{2}\frac{x^2}{(x^3+4)^2}dx$$
 
 
 
 

Q14 Evaluate \[\int_{-1}^{2} y^{2}+y^{-2} dy\]
 
 
 
 

Q15 Find the integral with respect to x $$ \int \cos x\sin x dx$$
 
 
 
 

Q16 Evalute \[\int x^{2}(3-10x^{3})dx\]
 
 
 
 

Q17 Evaluate \[\int 3e^{x}+5\cos (x) -10 \sec^{2}(x) dx\]
 
 
 
 

Q18 Evaluate \[\int \cos (6x+4)dx\]
 
 
 
 

Q19 Evaluate \[\int(3x-2)^{6} dx\]
 
 
 
 

Q20 Integrate \[\int (x^{3}+3x^{2}+2x+4)\]
 
 
 
 

Q21 Differentiate \[y=3\sqrt(x^2)(2x-x^{2})\] with respect to x
 
 
 
 

Q22 Differentiate with respect to x: \[f(x) = (ax{^3} + bx)\]
 
 
 
 

Q23 Given \[y(x)=x^{4} - 4x^{3} + 3x^{2} -5x \], evaluate \[\frac{d^{4} y}{d x^{4}}\]
 
 
 
 

Q24 Given \[\frac{2x^{5}+x^{2}-5}{t^{2}}\], find \[\frac{d y}{d x}\] by using the first principle
 
 
 
 

Q25 Find the derivative \[f(x)=2x^{2}-16x+35\] by using first principle
 
 
 
 

Q26 Evaluate the limit \[\lim {x\rightarrow \infty} \frac{6e^{4x}-e^{-2x}}{8e^{4x}-e^{2x}+3e^{-x}}\]
 
 
 
 

Q27 Evaluate the limit \[\lim {x\rightarrow -\infty} \frac{x^{2}-5t-9}{2x^{4}+3x^{3}}\]
 
 
 
 

Q28 Evaluate the limit \[\lim {x\rightarrow \infty} \frac{2x^{4}-x^{2}+8x}{-5x^{4}+7}\]
 
 
 
 

Q29 Evaluate the limit \[\lim {t\rightarrow 4} \frac{t-\sqrt(3+4)}{4-t}\]
 
 
 
 

Q30 Evaluate the limit \[\lim_{h\rightarrow 0}\frac{2(-3+h)^{2}-18}{h}\]
 
 
 
 

Q31 Differentiate \[y=3\sqrt(x^2)(2x-x^{2})\] with respect to x
 
 
 
 

Q32 Differentiate with respect to x: \[f(x) = (ax{^3} + bx)\]
 
 
 
 

Q33 Given \[y(x)=x^{4} - 4x^{3} + 3x^{2} -5x \], evaluate \[\frac{d^{4} y}{d x^{4}}\]
 
 
 
 

Q34 Given \[\frac{2x^{5}+x^{2}-5}{t^{2}}\], find \[\frac{d y}{d x}\] by using the first principle
 
 
 
 

Q35 Find the derivative \[f(x)=2x^{2}-16x+35\] by using first principle
 
 
 
 

Q36 Evaluate the limit \[\lim {x\rightarrow \infty} \frac{6e^{4x}-e^{-2x}}{8e^{4x}-e^{2x}+3e^{-x}}\]
 
 
 
 

Q37 Evaluate the limit \[\lim {x\rightarrow -\infty} \frac{x^{2}-5t-9}{2x^{4}+3x^{3}}\]
 
 
 
 

Q38 Evaluate the limit \[\lim {x\rightarrow \infty} \frac{2x^{4}-x^{2}+8x}{-5x^{4}+7}\]
 
 
 
 

Q39 Evaluate the limit \[\lim {t\rightarrow 4} \frac{t-\sqrt(3+4)}{4-t}\]
 
 
 
 

Q40 Evaluate the limit \[\lim_{h\rightarrow 0}\frac{2(-3+h)^{2}-18}{h}\]
 
 
 
 

Related Posts:

  • Lyrics I Miss You Clean Bandit, Julia MichaelsI know you're out in Cabo Hanging with your brother Wishin' that I was your bottle So I could be close to your lips again I know you didn't call your parents And tell 'em that we ended 'Cause you know that they'd be offended … Read More
  • Lyrics 4/5 Ronnie FlexLyrics4/5Ronnie FlexOh yeah, yeah, yeah, yeah Oh yeah, yeah, yeah, yeah Yeah Prrr O-Oké, ik heb 4/5 bitches aan de lijn (Prr) Pull up, ben met 4/5 niggas aan m'n zij Stapel al m'n money, ik bestel geen ene trein Henny in m'n… Read More
  • Lyrics Tip Toe Jason Derulo, French MontanaDerulo Wine for me darling When you move your slang is a love meanNow, why you just... Big fat thang, overflowing Skinny tight dress, couldn't hold it Way too thick like it's swollen Girl, you're too bad and you know it When… Read More
  • Lyrics The Fall GojiraLeaves are falling, the wind is blowing so cold The end, cycle, peel to the core The weight I can't take I eat all, wild and virgin The world carries the tears Again the glory collapsing in silence I'll be counting the layers… Read More
  • Lyrics Mayday GOT7LyricsMaydayGOT7I want you to find me and save me 내 꿈들과 한없이 원한 모든 것들은 내 추억의 친구로 되어가 전혀 믿기지 않아 소리쳤지만 돌아오는 건 그냥 가 라는 말 그 한마디에 나는 손을 모아 바보처럼 가만히 I'm sorry 버릇이 됐던 이해할 수 없는 이말 날 구해줘 앞이 보이지 않아 널 잡을게 더 이상은 안돼 나 지금 위험해 I'm shouting M… Read More

0 comments:

Post a Comment

Popular Posts

Recent Posts

Text Widget