If `f(x ) = x "for" x le 0` `=0 "for " x gt 0` then f(x) at x=0 isA. continuous but not differentibleB. Not continuous but differentiableC. Contunuous and differentiableD. Not continuous and not differentiable

If `f(x ) = x "for" x le 0` `=0 "for " x gt 0` then f(x) at x=0 isA. c

1.	If `f(x ) = x "for" x le 0` `=0 "for " x gt 0` then f(x) at x=0 isA. continuous but not differentibleB. Not continuous but differentiableC. Contunuous and differentiableD. Not continuous and not differentiable
Answer» Correct Answer - A

The objective function `Z=4x_(1) +5x_(2)`, Subject to ` 2x_(1) +x_(2) ge 7,2x_(1)+3x_(2) le 15,x_(2)le 3, x_(1),x_(2)ge 0` has minimum value at the pointA. On x-axisB. On y-axisC. At the originD. On the line parallel to x-axis
A box contains 6 pens , 2 of which are defective Two pens are taken randomy from the bax .If r,v. X., : Number of defective pens obtained , then standard deviation of x=A. `+- (4)/(3sqrt(5))`B. `(8)/(3)`C. `(16)/(45)`D. `(4)/(3sqrt(5))`
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if `int (1)/(sqrt(9-16x^(2)))dx=alpha sin ^(-1) (beta x) +c.` then ` alpha +(1)/(beta )=`A. `1`B. `(7)/(12)`C. `(19)/(12)`D. `(9)/(12)`
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