Calculus - Study Mode
[#46] The following plot shows a function y which varies linearly with x. The value of the integral [{ ext{I}} = intlimits_1^2 {{ ext{y dx}}} ] xa0 is
Correct Answer
(B) 2.5
[#47] Given: [{ ext{x}}left( { ext{t}}
ight) = 3sin left( {1000pi { ext{t}}}
ight)] xa0 xa0and [{ ext{y}}left( { ext{t}}
ight) = 5cos left( {1000pi { ext{t}} + frac{pi }{4}}
ight)] The X-Y plot will be
Correct Answer
(D) an ellipse
[#48] The infinite series [1 + { ext{x}} + frac{{{{ ext{x}}^2}}}{{2!}} + frac{{{{ ext{x}}^3}}}{{3!}} + frac{{{{ ext{x}}^4}}}{{4!}} + ,...] xa0 xa0 xa0corresponds to
Correct Answer
(B) e x
[#49] If [phi = 2{{ ext{x}}^3}{{ ext{y}}^2}{{ ext{z}}^4}] xa0 then [{
abla ^2}phi ] xa0is
Correct Answer
(C) 12xy 2 z 4 + 4x 3 z 4 + 24x 3 y 2 z 2
[#50] The function f(x) = 2x 3 - 3x 2 - 36x + 2 has its maxima at
Correct Answer
(A) x = -2 only