# Recent questions tagged constant

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Why is $|c| ||y|| = ||cy||$ where $y$ is a vector and $c$ is a constant?
Why is $|c| ||y|| = ||cy||$ where $y$ is a vector and $c$ is a constant?Why is $|c| ||y|| = ||cy||$ where $y$ is a vector and $c$ is a constant? ...
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Find the value of $\mathrm{k}$ if the constant term in the expansion $\left(\mathrm{k} x-\frac{1}{x^{2}}\right)^{6}$ is 240 .
Find the value of $\mathrm{k}$ if the constant term in the expansion $\left(\mathrm{k} x-\frac{1}{x^{2}}\right)^{6}$ is 240 .Find the value of $\mathrm{k}$ if the constant term in the expansion $\left(\mathrm{k} x-\frac{1}{x^{2}}\right)^{6}$ is 240 . ...
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Find a formula in terms of $n$ for $\sum_{r=1}^{n}\left(3 r^{2}+r-2\right)$. Simplify your answer fully.
Find a formula in terms of $n$ for $\sum_{r=1}^{n}\left(3 r^{2}+r-2\right)$. Simplify your answer fully. Find a formula in terms of $n$ for $\sum_{r=1}^{n}\left(3 r^{2}+r-2\right)$. Simplify your answer fully. &nbsp; NB: You may find the following ...
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Find the sum of the first three terms of $\sum_{r=1}^{n}\left(3 r^{2}+r-2\right)$
Find the sum of the first three terms of $\sum_{r=1}^{n}\left(3 r^{2}+r-2\right)$\begin{aligned} &amp;\text { Find the sum of the first three terms of } \sum_{r=1}^{n}\left(3 r^{2}+r-2\right) \text {. } \end{aligned} ...
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Which of the following operations over a system of linear equations could change the solution set?
Which of the following operations over a system of linear equations could change the solution set?Which of the following operations over a system of linear equations could change the solution set? A) interchanging two equations B) removing an equ ...
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The function $f(x)=\frac{x^{3}-6 x}{x^{2}-4}$ is
The function $f(x)=\frac{x^{3}-6 x}{x^{2}-4}$ isThe function $f(x)=\dfrac{x^{3}-6 x}{x^{2}-4}$ is &nbsp; A. even and has two vertical asymptotes, B. odd and has two vertical asymptotes, C. even ...
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Find $\lim _{x \rightarrow 0}(1-\sin x)^{\frac{3}{x}}$
Find $\lim _{x \rightarrow 0}(1-\sin x)^{\frac{3}{x}}$Find $\lim _{x \rightarrow 0}(1-\sin x)^{\frac{3}{x}}$ ...
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Find partial fractions of $f(x)=\frac{4}{x^{3}-2 x^{2}-3 x}$
Find partial fractions of $f(x)=\frac{4}{x^{3}-2 x^{2}-3 x}$Find partial fractions of $f(x)=\frac{4}{x^{3}-2 x^{2}-3 x}$ ...
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Write $\frac{9-x^{2}}{x^{3}+9 x}$ in terms of its partial fractions.
Write $\frac{9-x^{2}}{x^{3}+9 x}$ in terms of its partial fractions.Write $\frac{9-x^{2}}{x^{3}+9 x}$ in terms of its partial fractions. ...
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Identify the constant solutions (if any) of $\dot{y}=t \sin y$.
Identify the constant solutions (if any) of $\dot{y}=t \sin y$.Identify the constant solutions (if any) of $\dot{y}=t \sin y$. ...
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A quadratic pattern has a constant second difference of 2 and $T_{5}=T_{17}=29$
A quadratic pattern has a constant second difference of 2 and $T_{5}=T_{17}=29$A quadratic pattern has a constant second difference of 2 and $T_{5}=T_{17}=29$ 4.1.1 Does this pattern have a minimum or maximum value? Justify yo ...
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When a 2 kilogram mass is suspended from a spring, the spring stretches 4 cm. The force constant of the spring is approximately:+
When a 2 kilogram mass is suspended from a spring, the spring stretches 4 cm. The force constant of the spring is approximately:+When a 2 kilogram mass is suspended from a spring, the spring stretches 4 cm. The force constant of the spring is approximately:+ w) .5 newtons per m ...
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A spring with a force constant k is cut into thirds. The force constant of each of the new springs is
A spring with a force constant k is cut into thirds. The force constant of each of the new springs isA spring with a force constant k is cut into thirds. The force constant of each of the new springs is w) k x) 3k y) (1/3)k (read: one third k) z) ...
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A satellite is observed to move in a circle about the earth at a constant speed. This means that the force acting upon it is:
A satellite is observed to move in a circle about the earth at a constant speed. This means that the force acting upon it is:A satellite is observed to move in a circle about the earth at a constant speed. This means that the force acting upon it is: w) zero x) parallel to ...
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A spring with a force constant of 100 Newtons per meter is loaded with a mass of 1.0 kilogram. The period of vibration of this system is:
A spring with a force constant of 100 Newtons per meter is loaded with a mass of 1.0 kilogram. The period of vibration of this system is:A spring with a force constant of 100 Newtons per meter is loaded with a mass of 1.0 kilogram. The period of vibration of this system is: w) .03 seco ...
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As a 10 kilogram mass on the end of a spring passes through its equilibrium position, the kinetic energy of the mass is 20 joules. The speed of the mass is:
As a 10 kilogram mass on the end of a spring passes through its equilibrium position, the kinetic energy of the mass is 20 joules. The speed of the mass is:As a 10 kilogram mass on the end of a spring passes through its equilibrium position, the kinetic energy of the mass is 20 joules. The speed of the ma ...
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The potential difference across a 4 ohm resistor is 20 volts. Assuming that all of the energy dissipated by this resistor is in the form of heat, how many joules of heat are radiated in 10 seconds?The potential difference across a 4 ohm resistor is 20 volts. Assuming that all of the energy dissipated by this resistor is in the form of heat, how ...
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The constant potential difference across a 2 ohm resistor is 20 volts. How many watts of power are dissipated by this resistor?
The constant potential difference across a 2 ohm resistor is 20 volts. How many watts of power are dissipated by this resistor?The constant potential difference across a 2 ohm resistor is 20 volts. How many watts of power are dissipated by this resistor? ...
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If the resultant force acting on a body of constant mass is zero, the body's momentum is:
If the resultant force acting on a body of constant mass is zero, the body's momentum is:If the resultant force acting on a body of constant mass is zero, the body's momentum is: w) increasing x) decreasing y) always zero z) constant ...
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A machine performs 8 Joules of work in 2 seconds. How much power is delivered by this machine?
A machine performs 8 Joules of work in 2 seconds. How much power is delivered by this machine?A machine performs 8 Joules of work in 2 seconds. How much power is delivered by this machine? ...
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A 40 kilogram girl climbs a vertical distance of 5 meters in twenty seconds at a constant velocity. How much work has the girl done?
A 40 kilogram girl climbs a vertical distance of 5 meters in twenty seconds at a constant velocity. How much work has the girl done?A 40 kilogram girl climbs a vertical distance of 5 meters in twenty seconds at a constant velocity. How much work has the girl done? ...
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What is the magnitude and direction of the velocity of the package, relative to the ground, the instant the package is released by the helicopter?
What is the magnitude and direction of the velocity of the package, relative to the ground, the instant the package is released by the helicopter?A helicopter is ascending vertically with a constant speed of 6 meters per second relative to the ground. At the instant the helicopter is 60 meters a ...
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What is the velocity of the ball, MAGNITUDE AND DIRECTION, relative to the elevator shaft the instant the boy releases the ball?
A body of mass $3 \mathrm{~kg}$ moves with a velocity of $8 \mathrm{~ms}^{-1}$. It collides with a second body moving in the same direction with a velocity of $5 \mathrm{~ms}^{-1}$.(a) A body of mass $3 \mathrm{~kg}$ moves with a velocity of $8 \mathrm{~ms}^{-1}$. It collides with a second body moving in the same direction wi ...