TMA2/MTH102

My TMA Home TMA Results My Pending TMA Quick Help TMA Quiz Questions TMA: TMA2/MTH102 Matric Number:  SCORE=10.00 MTH102 - Elementary Mathematics II Mr. Olorunnishola Toyin (Tolorunishola@noun.edu.ng ) 1 Integrate sec2wdw$$se{c}^{2}wdw$$ with respect to w. tanx+c cosx+c sinx+c secx+c 2 d2dx(2x2−2x)$$\frac{{\mathrm{d}}^2}{\mathrm{d}x}(2x^2-2x)$$ 2 4 3 4x 3 d2dx(x2−6x)$$\frac{{\mathrm{d}}^2}{\mathrm{d}x}(x^2-6x)$$ 2x 6x 6 12x 4 Integrate by partial fraction 5x+23x2+x+4$$\frac{5x+2}{3x^2+x+4}$$ 196$$\frac{19}{6}$$ 23ln(3x+4)+(x−1)+c$$\frac{2}{3}ln(3x+4)+(x-1)+c$$ 13ln(3x+4)+(x−1)+c$$\frac{1}{3}ln(3x+4)+(x-1)+c$$ 25ln(3x+4)+(x−2)+c$$\frac{2}{5}ln(3x+4)+(x-2)+c$$ 5 Integrate with respect to x : ∫2−2(x3−3x2+2x−5)dx$${\int }_{-2}^2(x^3-3x^2+2x-5)dx$$ -36 35 40 41 6 Integrate completely with respect to x : ∫21(4x+6)dx$${\int }_1^2(4x+6)dx$$ 12 6 8 16 7 Find the integral of ∫secudu$${\int }_{se{c}^u}du$$ cosu + c tanu + c 2secu + c sinu + c 8 d4dx(x4−4x3+3x2−5x)+3$$\frac{{\mathrm{d}}^4}{\mathrm{d}x}(x^4-4x^3+3x^2-5x)+3$$ 24 42 20 22 9 Differentiate with respect to x:f(x)=(ax3+bx)$$x:f(x)=(ax{}^3+bx)$$ 3ax2+b$$3a{x}^2+b$$ ax2+b$$a{x}^2+b$$ 3x2+1$$3x^2+1$$ 3ax2+x$$3a{x}^2+x$$ 10 Differentiate with respect to n:f(n)=(8n3+n2)$$n:f(n)=(8n^3+n^2)$$ 8n3−n$$8n^3-n$$ 24n2−12n$$24n^2-12n$$ 24n2−2n$$24n^2-2n$$ 8n2−n$$8n^2-n$$