Differentiate (frac{5x^{3} + x^{2}}{x}, xneq 0) with respect to x.
Differentiate (frac{5x^{3} + x^{2}}{x}, xneq 0) with respect to x. A. 10x+1 B. 10x+2 C. x(15x+1) D. x(15x+2)…
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A curve is given by (y = 5 – x – 2x^{2}). Find the equation…
A curve is given by (y = 5 – x – 2x^{2}). Find the equation of its line…
There are 7 boys in a class of 20. Find the number of ways of…
There are 7 boys in a class of 20. Find the number of ways of selecting 3 girls…
If (y = frac{1+x}{1-x}), find (frac{dy}{dx}).
If (y = frac{1+x}{1-x}), find (frac{dy}{dx}). A. (frac{2}{(1-x)^{2}}) B. (frac{-2}{(1-x)^{2}}) C. (frac{-1}{sqrt{1-x}}) D. (frac{1}{sqrt{1-x}}) Correct Answer: Option A…
Evaluate (int_{-1}^{0} (x+1)(x-2) mathrm{d}x)
Evaluate (int_{-1}^{0} (x+1)(x-2) mathrm{d}x) A. (frac{7}{6}) B. (frac{5}{6}) C. (frac{-5}{6}) D. (frac{-7}{6}) Correct Answer: Option D Explanation Expanding…
The 3rd and 7th term of a Geometric Progression (GP) are 81 and 16. Find…
The 3rd and 7th term of a Geometric Progression (GP) are 81 and 16. Find the 5th term.…
Simplify (frac{sqrt{128}}{sqrt{32} – 2sqrt{2}})
Simplify (frac{sqrt{128}}{sqrt{32} – 2sqrt{2}}) A. (2sqrt{2}) B. (3sqrt{2}) C. 3 D. 4 Correct Answer: Option D Explanation (sqrt{128} …
Given that (f(x) = 5x^{2} – 4x + 3), find the coordinates of the point…
Given that (f(x) = 5x^{2} – 4x + 3), find the coordinates of the point where the gradient…
If (B = begin{pmatrix} 2 & 5 \ 1 & 3 end{pmatrix}), find (B^{-1}).
If (B = begin{pmatrix} 2 & 5 \ 1 & 3 end{pmatrix}), find (B^{-1}). A. (A = begin{pmatrix}…
Given that (sin x = frac{5}{13}) and (sin y = frac{8}{17}), where x and y…
Given that (sin x = frac{5}{13}) and (sin y = frac{8}{17}), where x and y are acute, find…