Answers created by Jothi S.

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How do you write the equation of an ellipse with vertices at (-5,1) and (-1,1) and co-vertices at (-3,2) and (-3,0)?
If $f (1) = 3$ $f(1) = 3$ and $f (n) = - 2 f (n - 1) + 1$ $f(n) = -2f(n-1) + 1$ , what is $f (5)$ $f(5)$ ?
How do you solve using the completing the square method $x^{2} - x = 30$ $x^2 − x = 30$ ?
If cot (π/2 - x) = -3/4 , what is sec^2(x)?
How do you find the derivative of $3 arccos (\frac{x}{2})$ $3arccos(x/2)$ ?
At the shopping mall, Joaquin bought 4 pretzels and a bottle of water for $11.50. Kelly bought 3 pretzels and a bottle of water for $9.00. What is the price of a bottle of water?
How do you integrate $\int \frac{d x}{{(x^{2} + 1)}^{2}}$ $int dx/(x^2+1)^2$ using trig substitutions?
How do you solve $x^{2} \geq 36$ $x^2>=36$ using a sign chart?
How do you differentiate $f (x) = sec (e^{x} - 3 x)$ $f(x)=sec(e^(x)-3x )$ using the chain rule?
What is the equation of the normal line of $f (x) = 2 x^{4} + 4 x^{3} - 2 x^{2} - 3 x + 3$ $f(x)=2x^4+4x^3-2x^2-3x+3$ at $x = 1$ $x=1$ ?
How do you solve $| 16 + t | = 2 t - 3$ $|16 + t| = 2t - 3$ ?
How do you find the phase shift of $y = sin (θ - 3 \frac{π}{4})$ $y=sin(theta-3 pi/4)$ ?
What is 7.25% of 7600?
How do you solve the following equation $2 cos x - 1 = 0$ $2 cos x - 1=0$ in the interval [0, 2pi]?
How do you convert $2 y = y^{2} - x^{2} - 4 x$ $2y=y^2-x^2 -4x$ into a polar equation?
How do you find the exact value of $sin (\frac{5 π}{3})$ $sin ((5pi)/3)$ ?
How do you find the critical numbers for $cos (\frac{x}{x^{2} + 1})$ $cos (x/(x^2+1))$ to determine the maximum and minimum?
How do you find the Vertical, Horizontal, and Oblique Asymptote given $Q (x) = \frac{2 x^{2}}{x^{2} - 5 x - 6}$ $Q(x) =( 2x^2) / (x^2 - 5x - 6)$ ?
How do you solve ${cot}^{2} x = 2 cot x - 1$ $cot^2x=2cotx-1$ ?
How do you differentiate $y = ln (\frac{x - 1}{x^{2} + 1})$ $y=ln((x-1)/(x^2+1))$ ?
How do you solve ${(8 x)}^{\frac{1}{2}} + 6 = 0$ $(8x)^(1/2)+6=0$ ?
How do you solve $3 csc x + 5 = 0$ $3cscx+5=0$ ?
How do you evaluate $sin (\frac{7 π}{12})$ $sin ((7pi)/12)$ ?
Each episode of a show requires 3.5% of the total capacity her video recorder. Her recorder currently has 62% of its total memory free. If Monica records all five episodes this week, how much space will be left on her video recorder?
What is the the vertex of $y = - x^{2} - 3$ $y = -x^2 - 3$ ?
How do you differentiate $f (x) = \sqrt{e^{cot (x)}}$ $f(x)=sqrt(e^cot(x))$ using the chain rule?
What is the equation of the normal line of $f (x) = \frac{3 x^{2} - 2}{6 x}$ $f(x)= (3x^2-2)/(6x)$ at $x = 1$ $x = 1$ ?
How do you differentiate $g (x) = (x^{2} + 1) (x^{2} - 3 x)$ $g(x) = (x^2+1) (x^2-3x)$ using the product rule?
Show that integration of cos^4 x sin² x dx = 1/16 [ x - (sin4x)/4 + (sin^3 2x)/3 ] +c ?
What is the domain and range of $f (x) = \frac{5}{| x |} - 3$ $f(x) = 5/ |x|-3$ ?
If a right triangle has legs of $x$ $x$ and $3 x$ $3x$ and a hypotenuse of $10$ $10$ , what is the value of $x$ $x$ ?
What is the vertex of $y = - 2 x^{2} - 2 x - 6 + 3 {(x - 1)}^{2}$ $y= -2x^2-2x-6+3(x-1)^2$ ?
How do you solve ${log}_{3} (x + 3) + {log}_{3} (x + 5) = 1$ $log_3 (x + 3) + log_3 (x + 5) = 1$ ?
How do you differentiate $f (x) = 2 x (x^{2} - 1)$ $f(x)=2x(x^2-1)$ using the product rule?
How do you solve $log (2 x - 1) = 3$ $Log(2x-1)=3$ ?
How do you differentiate $f (x) = tan (e^{{(ln x - 2)}^{2}})$ $f(x)=tan(e^((lnx-2)^2 ))$ using the chain rule.?
How do you convert $r = 4 sec (θ)$ $r = 4sec(theta)$ into cartesian form?
What are the critical values, if any, of $f (x) = x^{\frac{2}{3}} + x^{- \frac{1}{3}}$ $f(x) = x^(2/3)+x^(-1/3)$ ?
What are the intercepts of $7 y + 3 x = 7$ $7y+3x=7$ ?
What is the equation of the line tangent to $f (x) = \sqrt{e^{x} - x}$ $f(x)=sqrt(e^x-x)$ at $x = 1$ $x=1$ ?
How do you rewrite ${log}_{11} 11 = 1$ $log_11 11 = 1$ in exponential form?
How do you implicitly differentiate $- 3 = 5 x^{3} y - x^{2} y + \frac{y^{2}}{x}$ $-3=5x^3y-x^2y+y^2/x$ ?
What are the local extrema, if any, of $f (x) = x^{3} - 6 x^{2} - 15 x + 11$ $f (x) = x^3 - 6x^2 - 15x + 11$ ?
What is the arclength of $(2 t^{2} - t, t^{4} - t)$ $(2t^2-t,t^4-t)$ on $t \in [- 4, 1]$ $t in [-4,1]$ ?