Answers created by Costas C.

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A soft tennis ball is dropped onto a hard floor from a height of 1.25 m and rebounds to a height of 1.05 m?
A triangle has corners at $(5, 6)$ $(5 ,6 )$ , $(4, 3)$ $(4 ,3 )$ , and $(2, 2)$ $(2 ,2 )$ . What is the area of the triangle's circumscribed circle?
An object with a mass of $2 k g$ $2 kg$ , temperature of $315^{o} C$ $315 ^oC$ , and a specific heat of $12 \frac{K J}{k g \cdot K}$ $12 (KJ)/(kg*K)$ is dropped into a container with $37 L$ $37 L$ of water at $0^{o} C$ $0^oC$ . Does the water evaporate? If not, by how much does the water's temperature change?
Question #a540a
How do you solve $5 x^{2} + 98 = 0$ $5x^2+98=0$ using the quadratic formula?
What is $f (x) = \int - cos 6 x - 3 tan x d x$ $f(x) = int -cos6x -3tanx dx$ if $f (π) = - 1$ $f(pi)=-1$ ?
Does temperature increase during melting?
What is the density of the solid in the following problem?
If $f (x) = \sqrt{1 + x}$ $f(x) = sqrt(1+x)$ and $g (x) = \frac{3 x^{2}}{x^{2} + 1}$ $g(x) = (3x^2)/(x^2+1)$ , what is $g [f (x)]$ $g[f(x)]$ ?
Question #bc6c7
What is the limit of $\frac{ln (x + 1)}{x}$ $ln(x+1)/x$ as x approaches $\infty$ $oo$ ?
How do you solve $ln x + ln (x - 2) = 1$ $lnx+ln(x-2)=1$ ?
How do you find the absolute maximum and absolute minimum values of f on the given interval: $f (t) = t \sqrt{25 - t^{2}}$ $f(t) =t sqrt(25-t^2)$ on [-1, 5]?
For what values of x is $f (x) = x - x^{2} e^{- x}$ $f(x)= x-x^2e^-x$ concave or convex?
Question #2566c
What is $f (x) = \int \frac{x}{x - 1} d x$ $f(x) = int x/(x-1) dx$ if $f (2) = 0$ $f(2) = 0$ ?
Question #7fb29
Question #6bd6c
An object is at rest at $(4, 5, 8)$ $(4 ,5 ,8 )$ and constantly accelerates at a rate of $\frac{4}{3} \frac{m}{s^{2}}$ $4/3 m/s^2$ as it moves to point B. If point B is at $(7, 9, 2)$ $(7 ,9 ,2 )$ , how long will it take for the object to reach point B? Assume that all coordinates are in meters.
How do you find the first and second derivative of ${sin}^{2} (ln x)$ $sin^2(lnx)$ ?
How do you simplify ${log}_{4} 8$ $log_4 8$ ?
Question #a4844
The kinetic energy of an object with a mass of $1 k g$ $1 kg$ constantly changes from $243 J$ $243 J$ to $658 J$ $658 J$ over $9 s$ $9 s$ . What is the impulse on the object at $3 s$ $3 s$ ?
What is the derivative of $f (x) = \frac{x^{3} - {(ln x)}^{2}}{{ln x}^{2}}$ $f(x) = (x^3-(lnx)^2)/(lnx^2)$ ?
Question #c446e
How do you find the limit of $sin (\frac{x - 1}{2 + x^{2}})$ $sin((x-1)/(2+x^2))$ as x approaches $\infty$ $oo$ ?
Question #962b9
How do you balance $B a C l_{2} + A l_{2} S_{3} \to B a S + A l C l_{3}$ $BaCl_2 + Al_2S_3 -> BaS + AlCl_3$ ?
The force applied against an object moving horizontally on a linear path is described by $F (x) = x^{2} - 3 x + 3$ $F(x)=x^2-3x + 3$ . By how much does the object's kinetic energy change as the object moves from $x \in [0, 1]$ $x in [ 0 , 1 ]$ ?
How are distance and changing velocity related to limits?
How do you graph $f (X) = ln (2 x - 6)$ $f(X)=ln(2x-6)$ ?
What steps would you take to determine the density of a rubber eraser?
How do you find the axis of symmetry, graph and find the maximum or minimum value of the function $F (x) = x^{2} - 4 x - 5$ $F(x)=x^2- 4x -5$ ?
How do you find f'(x) using the definition of a derivative $f (x) = \sqrt{x - 3}$ $f(x) =sqrt(x−3)$ ?
What are the critical values, if any, of $f (x) = \frac{x^{3}}{x + 4} + \frac{x^{2}}{x + 1} - \frac{x}{x - 2}$ $f(x)= x^3/(x+4)+x^2/(x+1)-x/(x-2)$ ?
How do you simplify the expression $3 \sqrt{2 x^{2} y}$ $3sqrt(2x^2y)$ ?
How do you find the asymptotes for $y = \frac{{(x + 1)}^{2}}{(x - 1) (x - 3)}$ $y= (x+1)^2 / ((x-1)(x-3))$ ?
An object with a mass of $90 g$ $90 g$ is dropped into $750 m L$ $750 mL$ of water at $0^{\circ} C$ $0^@C$ . If the object cools by $30^{\circ} C$ $30 ^@C$ and the water warms by $18^{\circ} C$ $18 ^@C$ , what is the specific heat of the material that the object is made of?
Rob left Mark's house and drove toward the dump at an average speed of 45 km/h James left later driving in the same direction at an average speed of 75 km/h. After driving for 3 hours James caught up. How long did Rob drive before James caught up?
A balanced lever has two weights on it, the first with mass $8 k g$ $8 kg$ and the second with mass $24 k g$ $24 kg$ . If the first weight is $2 m$ $2 m$ from the fulcrum, how far is the second weight from the fulcrum?
What is the Cartesian form of $r - θ = - 2 {sin}^{2} θ - {cot}^{3} θ$ $r-theta = -2sin^2theta-cot^3theta$ ?
What is the maximum number of mols of copper (III) sulfide that can be formed when 8.0 mols of copper reacts with 9.0 mols of sulfur?
What is $\int x {ln (x)}^{2}$ $int xln(x)^2$ ?
How do you convert $4 = {(x + 8)}^{2} + {(y - 5)}^{2}$ $4=(x+8)^2+(y-5)^2$ into polar form?
How do you graph and solve $| 2 x - 5 | \geq - 1$ $|2x-5| >= -1$ ?
What is the equation of the line tangent to $f (x) = x^{2} + {sin}^{2} x$ $f(x)=x^2 + sin^2x$ at $x = π$ $x=pi$ ?
How do you evaluate the integral of $\int \frac{d t}{{(t - 4)}^{2}}$ $int (dt)/(t-4)^2$ from 1 to 5?
How do you find the points where the graph of the function $f (x) = sin 2 x + {sin}^{2} x$ $f(x)=sin2x+sin^2x$ has horizontal tangents?
Using charles' law and understanding of what is happening at the particle level, explain why a marshmallow expands in size when you microwave it?
How do you graph using the intercepts for $y = - 6 x - 9$ $y=-6x-9$ ?
In the reaction $2 N a O H + H_{2} S O_{4} \to 2 H_{2} O + N a_{2} S O_{4}$ $2NaOH+H_2SO_4 -> 2H_2O+Na_2SO_4$ , how many grams of sodium sulfate will be formed if you start with 200.0 grams of sodium hydroxide and you have an excess of sulfuric acid?
What is the domain and range of $\sqrt{\frac{5 x + 6}{2}}$ $sqrt((5x+6)/2)$ ?
How do you differentiate $f (x) = \sqrt{ln (\frac{1}{\sqrt{x e^{x}}})}$ $f(x)=sqrt(ln(1/sqrt(xe^x))$ using the chain rule.?
A projectile is shot at an angle of $\frac{π}{12}$ $pi/12$ and a velocity of $4 \frac{m}{s}$ $4 m/s$ . How far away will the projectile land?
How do you simplify ${(x^{- 1} y^{- 2} z^{3})}^{- 2} (x^{2} y^{- 4} z^{6})$ $(x^-1y^-2z^3)^-2 (x^2y^-4z^6)$ ?
How do you find the area bounded by the curves $y = - 4 sin (x)$ $y = -4sin(x)$ and $y = sin (2 x)$ $y = sin(2x)$ over the closed interval from 0 to pi?
How do you convert $- x y = - x^{2} + 4 y^{2}$ $-xy=-x^2+4y^2$ into a polar equation?
How do you factor $y = x^{2} - x - 20$ $y= x^2-x-20$ ?
Circle A has a center at $(3, 2)$ $(3 ,2 )$ and a radius of $6$ $6$ . Circle B has a center at $(- 2, 1)$ $(-2 ,1 )$ and a radius of $3$ $3$ . Do the circles overlap? If not, what is the smallest distance between them?
What is the equation of the tangent line of $f (x) = 14 x^{3} - 4 x^{2} e^{3 x}$ $f(x)=14x^3-4x^2e^(3x)$ at $x = - 2$ $x=-2$ ?
Cups A and B are cone shaped and have heights of $32 c m$ $32 cm$ and $12 c m$ $12 cm$ and openings with radii of $18 c m$ $18 cm$ and $6 c m$ $6 cm$ , respectively. If cup B is full and its contents are poured into cup A, will cup A overflow? If not how high will cup A be filled?
An object with a mass of $3 k g$ $3 kg$ is traveling in a circular path of a radius of $7 m$ $7 m$ . If the object's angular velocity changes from $3 H z$ $3 Hz$ to $29 H z$ $29 Hz$ in $3 s$ $3 s$ , what torque was applied to the object?
What is the average speed of an object that is still at $t = 0$ $t=0$ and accelerates at a rate of $a (t) = t + 3$ $a(t) =t+3$ from $t \in [2, 4]$ $t in [2, 4]$ ?
How do you insert parentheses to make $18 + 2 \cdot 1 + 3^{2} = 38$ $18+2*1+3^2 =38$ true?
How would you simplify $\sqrt{48} + \sqrt{3}$ $sqrt48 + sqrt3$ ?
Given $f (x) = 8 x - 1$ $f(x)=8x-1$ , and $g (x) = \frac{x}{2}$ $g(x)=x/2$ how do you find fog(x)?
A triangle has sides A, B, and C. If the angle between sides A and B is $\frac{π}{6}$ $(pi)/6$ , the angle between sides B and C is $\frac{7 π}{12}$ $(7pi)/12$ , and the length of B is 11, what is the area of the triangle?
How do you differentiate $f (x) = 8 \frac{e^{x^{2}}}{e^{x} + 1}$ $f(x)=8e^(x^2)/(e^x+1)$ using the chain rule?
How do you find the intercepts for $y = x^{2} - 9 x + 20$ $y=x^2-9x+20$ ?
How do you write an exponential equation that passes through (0, -2) and (2, -50)?
How do you simplify $5 \sqrt{- 75} - 9 \sqrt{- 300}$ $5sqrt(-75) - 9sqrt(-300)$ ?
Is $f (x) = {(x + 3)}^{3} - 4 x^{2} - 2 x$ $f(x)=(x+3)^3-4x^2-2x$ increasing or decreasing at $x = 0$ $x=0$ ?
How do you differentiate $e^{{(ln 2 x)}^{2}}$ $e^((ln2x)^2)$ using the chain rule?
How do you solve $x^{\frac{2}{3}} - 3 x^{\frac{1}{3}} - 4 = 0$ $x^(2/3) - 3x^(1/3) - 4 = 0$ ?
How do you find the inverse of $1 - ln (x - 2) = f (x)$ $1-ln(x-2)=f(x)$ ?
How do you find general form of circle centered at (2,3) and tangent to x-axis?
What is the derivative of $f (t) = (t^{2} - sin t, \frac{1}{t - 1})$ $f(t) = (t^2-sint , 1/(t-1) )$ ?
Question #dbd28
How do you differentiate $f (x) = \frac{sin x}{sin x - cos x}$ $f(x) = (sinx)/(sinx-cosx)$ using the quotient rule?
How do you solve $3 log x = 6 - 2 x$ $3 log x = 6 - 2x$ ?
What is the surface area of the solid created by revolving $f (x) = x e^{- x} - x e^{x}, x \in [1, 3]$ $f(x) = xe^-x-xe^(x) , x in [1,3]$ around the x axis?
Using the limit definition, how do you differentiate $f (x) = \frac{3 x}{7 x - 3}$ $f(x)=(3x)/(7x-3)$ ?
The diameter of a circle is 8 centimeters. A central angle of the circle intercepts an arc of 12 centimeters. What is the radian measure of the angle?
Question #07304
How do I find the limits of trigonometric functions?
Question #f9cc1
How would you determine the equation of the circle which passes through the points D(-5,-5), E(-5,15), F(15,15)?
Can a function be continuous and non-differentiable on a given domain??
If $f (x) = cos 5 x$ $f(x)= cos5 x$ and $g (x) = e^{3 + 4 x}$ $g(x) = e^(3+4x )$ , how do you differentiate $f (g (x))$ $f(g(x))$ using the chain rule?
What is the slope-intercept form of $15 x + 12 y = 9$ $15x+12y=9$ ?
How do you solve ${log}_{4} x = 2.5$ $log_4x=2.5$ ?
What is the formula for time from a changing velocity?
How do you solve $5^{4 x} = 2115$ $5^(4x) = 2115$ ?
How do you find the derivative of $\frac{1}{x - 5}$ $1/(x-5)$ ?
Is $f (x) = x e^{x} - 3 x$ $f(x)=xe^x-3x$ increasing or decreasing at $x = - 3$ $x=-3$ ?
What is the average speed of an object that is still at $t = 0$ $t=0$ and accelerates at a rate of $a (t) = \frac{t}{6}$ $a(t) =t/6$ from $t \in [0, 1]$ $t in [0, 1]$ ?
What happens to a saturated solution of sugar in water when the temperature of the solution is suddenly lowered by 10°C?
What are the first and second derivatives of $f (x) = ln (- 2 e^{- 6 x^{3}} + x^{2})$ $f(x)=ln(-2e^(-6x^3)+x^2)$ ?
What is the average speed of an object that is not moving at $t = 0$ $t=0$ and accelerates at a rate of $a (t) = 6 t - 9$ $a(t) =6t-9$ on $t \in [3, 5]$ $t in [3, 5]$ ?
A triangle has sides A, B, and C. The angle between sides A and B is $\frac{5 π}{6}$ $(5pi)/6$ and the angle between sides B and C is $\frac{π}{12}$ $pi/12$ . If side B has a length of 1, what is the area of the triangle?
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