MCQ
If $f(x) = mx + c,f(0) = f'(0) = 1$ then $f(2) = $
  • A
    $1$
  • B
    $2$
  • $3$
  • D
    $-3$

Answer

Correct option: C.
$3$
c
(c) Here $f'(x) = m = 1$==>$f'(0) = m = 1$ and $f(0) = c = 1$.

Therefore $f(2)=2×1+1=3$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

The weight $W$ of a certain stock of fish is given by $W = nw,$ where $n$ is the size of stock and $w$ is the average weight of a fish. If $n$ and $w$ change with time $t$ as $n = 2t^2 + 3$ and $w= t^2 - t + 2,$ then the rate of change of $W$ with respect to $t$ at $t = 1$ is
If $f ( a + b - x )= f ( x ),$ then $\int_{a}^{b} x f(x) d x$ is equal to
If $ a,b,c $ are three coplanar vectors, then $[a + b\,\,b + c\,\,c + a] = $
The value of $\sin {\cot ^{ - 1}}\tan {\cos ^{ - 1}}x$ is equal to
Suppose $y=y(x)$ be the solution curve to the differential equation $\frac{d y}{d x}-y=2-e^{-x}$ such that $\lim _{x \rightarrow \infty} y(x)$ is finite. If $a$ and $b$ are respectively the $x-$ and $y$-intercepts of the tangent to the curve at $x=0$, then the value of $a-4 b$ is equal to$....$
$\mathop {Lim}\limits_{n \to \infty } $$\frac{\pi }{{2\,n}}\,\,\left( {1\,\, + \,\,\cos \,\frac{\pi }{{2\,n}}\,\, + \,\,\cos \,\frac{{2\,\pi }}{{2\,n}}\,\, + \,\,.....\,\, + \,\,\cos \,\frac{{(n\, - \,1)\,\pi }}{{2\,n}}} \right)$ equal to
Choose the correct answer in Exercises:
$\int\frac{10\text{x}^9+10^{\text{x}}\log_\text{e}10}{\text{x}^{10}+10^{\text{x}}}\text{ equals}$
  1. $10^\text{x}-\text{x}^{10}+\text{C}$
  2. $10^\text{x}+\text{x}^{10}+\text{C}$
  3. $(10^\text{x}-\text{x}^{10})^{-1}+\text{C}$
  4. $\log(10^\text{x}+\text{x}^{10})+\text{C}$
If $a = (2,\,\,5)$ and $b = (1,\,\,4),$ then the vector parallel to $(a + b)$ is
If $f(x) = \int_0^x {t(\sin \,\,x\, - \sin \,\,t)\,dt} $ then ?
The area of the region described by $A=\{(x,y):x^2 + y^2 \le 1\,and\,y^2 \le 1-x \}$ is