I'm an iitian studying in 2nd year of Btech course.
Given that $f, g,$ and $h$ are functions with values $f(2)=1$, $g(2)=-4,$ and $h(2)=3$ and point-derivatives $f^{\prime}(2)=3,$ $g^{\prime}(2)=0,$ and $h^{\prime}(2)=-1,$ calculate$$(3 f+4 h)^{\prime}(2)$$
Given that $f, g,$ and $h$ are functions with values $f(2)=1$, $g(2)=-4,$ and $h(2)=3$ and point-derivatives $f^{\prime}(2)=3,$ $g^{\prime}(2)=0,$ and $h^{\prime}(2)=-1,$ calculate$$(2 f+3 g-h)^{\prime}(2)$$
Given that $f, g,$ and $h$ are functions with values $f(2)=1$, $g(2)=-4,$ and $h(2)=3$ and point-derivatives $f^{\prime}(2)=3,$ $g^{\prime}(2)=0,$ and $h^{\prime}(2)=-1,$ calculate$$(f h)^{\prime}(2)$$
Given that $f, g,$ and $h$ are functions with values $f(2)=1$, $g(2)=-4,$ and $h(2)=3$ and point-derivatives $f^{\prime}(2)=3,$ $g^{\prime}(2)=0,$ and $h^{\prime}(2)=-1,$ calculate$$\left(\frac{f}{g}\right)^{\prime}(2)$$
Suppose $g(x), h(x),$ and $j(x)$ are differentiable functions with the values of the function and its derivative given in the following table:$$\begin{array}{|r|r|r|r|r|r|r|}\hline x & g(x) & h(x) & j(x) & g^{\prime}(x) & h^{\prime}(x) & j^{\prime}(x) \\\hline-1 & 3 & 0 & 1 & -1 & -2 & -2 \\\hline 0 & 2 & 3 & 0 & -2 & 3 & -2 \\\hline 1 & 0 & -1 & -2 & -2 & -2 & -1 \\\hline 2 & -2 & -2 & -3 & -1 & 0 & 2 \\\hline 3 & -3 & 0 & 1 & 0 & 1 & 2 \\\hline\end{array}$$Use the table to calculate the values of the derivatives listed.If $f(x)=3 j(x)-2 h(x),$ find $f^{\prime}(3)$
The pilot of an airplane traveling 180km/h wants to drop supplies to flood victims isolated
The ball is shot vertically with the initial velocity of -2 m/s from the 21m level.
How long will it be in the air?
Neglect the air resistance, and take g=9.8 m/s2. Give the answer to the nearest hundredth of a second.
Considering the roller coaster of mass 75kg shown below withinitial speed of 7 m/s at point A, complete the Table 1. You mustshow your calculations to have full grade for this question. Assumeg=9.81 m/s2.Kinetic Energy (J)Potential (J)Total Energy (J)ABC
A mustang (free-roaming horse) flees 2.0 km due west, then turnstoward the south by 60 ∘ and flees 4.5 km more. How far west is itof its initial position? Can you draw a diagram for visualizationplease?
A steel ball of mass 2.2 kg is pressed against a spring of constant 12 kN/m until it compresses it over a distance of 10 cm. The ball is then released and climbs up a frictionless ramp of height 1 m. What is the ball's speed at the top of the incline?
What is the kinetic energy of a 15 kg object travelling at 6m/s. What is the height of the height where the object must bedropped if it will be raised up ?