Write an equation of the conic section.
Circle with center at (2,-6) and a radius of 4.
100
2
Evaluate the logarithm without using a calculator.
log 81
9
100
7^2=49
Rewrite the equation in exponential form.
log 49=2
7
100
About 0.00000894
Calculate the probability of a tossing a coin 25 times and getting the given number of heads.
2
100
3square root 2
Find the distance between the points.
(6,1,0) and (9,4,0)
200
Parabola
Use the discriminant to classify the conic section.
2x^2+5x+y+14=0
200
4^-1
Rewrite the equation in exponential form.
log 1/4=-1
4
200
1/3
Evaluate the logarithm without using a calculator.
log 3
27
200
About 0.0267
Calculate the probability of K successes for a binomial expiriment consisting of n trials with probability of exactly k successes.
k>or equal to 4; n=8, p=0.16
200
Sphere
Determine whether the equation represents a plane or a sphere.
8x^2+y^2+z^2+8z+32=0
300
Parabola; (y-1)^2=-8(x-2)
Classify the conic section and write its equation in standard form.
y^2+8x-2y-15=0
300
f^-1(x)=3^x-2
Find the inverse of the function.
y=log 9x
3
300
-0.693
Evaluate the logarithm. Round the result to three decimal places.
ln1/2
300
84%
Find the indicated probability for a randomly selacted x-value from the distribution.
P(x
300
(x+1)^2 +(y+7)^2 +(z+2)^2 =81
Write an equation of the sphere in standard form with given center and radius.
(-1,-7,-2); r=9
400
(x+1/2)^2+(y-3/4)^2=4/9
Write an equation of the conic section.
Circle with the center at (-1/2,3/4) and a radius of 2/3
400
Domain: x>-2
Range: All real numbers
State the domain and range.
f(x)=log (x+2)
3
400
f^-1(x)=3^x-2
Find the inverse of the function.
y=log 9x
3
400
0.84
Mean=25 Standard D= 5 Find the probibility that a randomly selected x-value from the distribution is given interval.
At most 30
400
Square root 113
Find the distance between the points.
(-12,-4,5) and (-8,0,-4)
500
Ellipse
Use the discriminant to classify the conic section.
36x^2+16y^2-25x+22y+2=0
500
f^-1(x)=e^x+3 +1
Find the inverse of the function.
y=ln(x-1)-3
500
4^-1=1/4
Rewrite the equation in exponential form.
log 1/4=-1
4
500
97.35%
Find the indicated probiability for a randomly selected x-value from the distribution.
P(Mean-2SD
500
(x-8)^2 +(y-2.5)^2 +z^2 =192
Write an equation of the sphere in standard form with the given center and radius.
(8,2.5,0); r=8 Sqare root 3