TMA4/MTH102

My TMA Home TMA Results My Pending TMA Quick Help TMA Quiz Questions TMA: TMA4/MTH102  SCORE 9.00 MTH102 - Elementary Mathematics II Mr. Olorunnishola Toyin (Tolorunishola@noun.edu.ng ) 1 Differentiate the following with respect to x : (6x5−3x4−2x3)$$(6x^5-3x^4-2x^3)$$ 30x4−12x3−6x2$$30x^4-12x^3-6x^2$$ (6x4−3x3−2x2)$$(6x^4-3x^3-2x^2)$$ 3x3−2x2$$3x^3-2x^2$$ 6x4−3x2$$6x^4-3x^2$$ 2 Find ddxof(2x+7)(x−9)$\frac{\mathrm{d}}{\mathrm{d}x}of(2x+7)(x-9)$ 4x -11 7x 2x-9 7x-2 3 Differentiate with respect to x:xn$$x:x^n$$ nxn$$n{x}^n$$ nx(n−1)$$n{x}^{(n-1)}$$ x2$$x^2$$ nx(n+1)$$n{x}^{(n+1)}$$ 4 Find the equation of the tangent to the graph of y= x2+x−2$$x^2+x^{-2}$$ at a point (1,2) . 3 1 4 2 5 Find ddxof(sinx)$$\frac{\mathrm{d}}{\mathrm{d}x}of(sinx)$$ coshx sinx tanx cosx 6 Find the integral with respect to x:∫cosxsinxdx$$x:\int cosxsinxdx$$ "sin2x2+c$$"\frac{si{n}^{2}x}{2}+c$$ sin2x+c$$sin2x+c$$ cos2x+c$$\frac{co{s}^{2}x}{+}c$$ sinx 7 Find the integral with respect to x:∫(exx)(ex1)dx$$x:\int (e^{x}x)(e^{x}1)dx$$ (ex+x)33+c$$\frac{(e^x+x{)}^3}{3}+c$$ x3+ex3$$\frac{x^3+e^x}{3}$$ 3x ex+3x$$e^x+3x$$ 8 Integrate with respect to x : ∫2−1x2(x3+4)2dx$${\int }_{-1}^2\frac{x^2}{(x^3+4{)}^2}dx$$ 12 12$$\frac{1}{2}$$ 6 512$$\frac{5}{12}$$ 9 Integrate with respect to x : ∫3−1x7+x2−−−−−√dx$${\int }_{-1}^3\frac{x}{\sqrt{7+x^2}}dx$$ 22√$$2\sqrt{2}$$ 42√$$4\sqrt{2}$$ 4−22√$$4-2\sqrt{2}$$ 2√$$\sqrt{2}$$ 10 Integrate with respect to x : ∫41x+1x√dx$${\int }_1^4\frac{x+1}{\sqrt{x}}dx$$ 203$$\frac{20}{3}$$ 20 320$$\frac{3}{20}$$ -20