If the function \( f(x)=2 x^{2}-k x+5 \) is increasing in \( [1,2] \) then \( k \) lies in the i...
If the function \( f(x)=2 x^{2}-k x+5 \) is increasing in \( [1,2] \) then \( k \) lies in the interval
(a) \( (-\infty, 4) \)
(b) \( (4, \infty) \)
(c) \( (-\infty, 7) \)
(d) \( (4, \infty) \)
π²PW App Link - https://bit.ly/YTAI_PWAP
πPW Website - https://www.pw.live
Other Videos By PW Solutions
2023-06-08 | A curve is represented by the equations, \( x=\sec ^{2} t \) and \( y= \) \( \cot t \) where \( ... |
2023-06-08 | Let the function \( g:(-\infty, \infty) \rightarrow\left(-\frac{\pi}{2}, \frac{\pi}{2}\right) \)... |
2023-06-08 | Let \( f(x)=x^{3}+b x^{2}+c x+d ; 0b^{2}c \) then \( f(x) \)
(a) Is strictly increasing
(b) Has ... |
2023-06-08 | \( f(x)=x^{2}-2 b x+2 c^{2} \) and \( g(x)=-x^{2}-2 c x+b^{2} \) if the minimum value of \( \mat... |
2023-06-08 | Function \( f(x)=\frac{\log (\pi+x)}{\log (e+x)} \) is decreasing in the interval
(a) \( (-\inft... |
2023-06-08 | The length of a longest interval in which the function \( 3 \sin x- \) \( 4 \sin ^{3} x \) is in... |
2023-06-08 | The value of \( c \) in lagranges theorem for the function \( f(x)=\log \sin x \) in the interva... |
2023-06-08 | If \( f(x)=x^{5}-20 x^{3}+240 x \), then \( f(x) \) satisfies
(a) It is monotonically decreasing... |
2023-06-08 | The function \( \frac{|x-1|}{x^{2}} \) is monotonically decreasing in
(a) \( (2, \infty) \)
(b) ... |
2023-06-08 | Function \( f(x)=x(x+3) e^{-x / 2} \) satisfy all condition of Rolles theorem in the interval \(... |
2023-06-08 | If the function \( f(x)=2 x^{2}-k x+5 \) is increasing in \( [1,2] \) then \( k \) lies in the i... |
2023-06-08 | In the interval \( (1,2) \), function \( f(x)=2|x-1|+3|x-2| \) is
(a) Monotonic increasing
(b) M... |
2023-06-08 | The function \( f(x)=x^{2}-3 x+2 \) is
(a) Increasing at \( x=0 \)
(b) Neither increasing nor de... |
2023-06-08 | The rate of change of \( \sqrt{\left(x^{2}+16\right)} \) with respect to \( \frac{x}{x-1} \) at ... |
2023-06-08 | If there is an error of \( k \) in measuring the edge of a cube then the percent error in estima... |
2023-06-08 | The approximated value of \( f(3.02) \), where \( f\left(3 x^{2}+5 x+3\right) \)
(a) 45.46
(b) 4... |
2023-06-08 | Tangent of an angle increases four times as the angle itself. At that angle, sine of the angle i... |
2023-06-08 | The minimum distance between \( y=x^{4}+3 x^{2}+2 x \) and \( y=2 x-1 \),
(a) 1
(b) \( \sqrt{5} ... |
2023-06-08 | On dropping a stone in stationary water circular ripples are observed. Rate of flow of ripples i... |
2023-06-08 | The curves \( x^{2}-y^{2}=5 \) and \( \frac{x^{2}}{18}+\frac{y^{2}}{8}=1 \) cut each other at an... |
2023-06-08 | The radius of a sphere is changing at the rate of \( 0.1 \mathrm{~cm} / \mathrm{sec} \). The rat... |