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A chord with a length of #3 # runs from #pi/4 # to #pi/3 # radians on a circle. What is the area of the circle?

How do you simplify #(8i)(73i)#?

How do you use the sum and difference identity to evaluate #sin((7pi)/12)#?

How do you find the domain and range of #f(x) = x^2 + 2x + 1#?

How do you determine #(d^y)/(dx^2)# given #1xy=xy^2#?

Question #f9011

What is the equation of a circle with center #(2, 3)# and radius of #3#?

How do you find the parametric equations of the line of intersection of the planes x+2z=0 and 2x3y+4?

There are 3 red and 8 green balls in a bag. If you randomly choose balls one at a time, with replacement, what is the probability of choosing 2 red balls and then 1 green ball?

Suppose an experiment begins with 5 bacteria, and the bacteria population triples every hour. What would be the population of the bacteria after 6 hours?

How do you solve the equation on the interval [0,2pi) for #sin 3x = sinx#?

What's the derivative of #f(x) = (arctan (x/2)) + ((5x1)/(2(x^2) + 4))#?

How do you find the value of #sin(theta/2)# given #tantheta=2# and #0<theta<pi/2#?

How do you determine algebraically the x coordinate of all points where the graphs of xy=10 and y= x+3 intersect?

Can you construct a triangle that has side lengths 8 m, 10 m, and 19 m?

A line segment is bisected by a line with the equation # 4 y  3 x = 2 #. If one end of the line segment is at #( 7 , 5 )#, where is the other end?

How do you prove #[(sin 3x) / sin x ] – [(cos3x) / cos x)] = 2#?

How do you write the equation in point slope form given (8,7), (2,4)?

Three numbers are in the ratio 2:3:4. The sum of their cubes is 0.334125. How do you find the numbers?

How do you implicitly differentiate #1=(x+y)^2xye^(3x+7y) #?

How do you evaluate #sec^1(sec((5pi)/6))#?

The mean of 3 numbers is 7. The mean of 4 other numbers is 8. The mean of 5 other numbers is 11. What is the mean of all 12 numbers?

How do you find the second derivative of #ln(x/2)# ?

How do you integrate #int x^3sqrt(x^21)# using substitution?

How do you integrate #e^x*cos(x)#?

How do you find the exact value of #arccos(sin(3*pi/2))#?

How do you find the slope given (0,5) and (3, 4)?

If sin A > 0 and tan A < 0, then A is in what quadrant?

Question #4d43b

How do you solve #(e2)/2=(e+2)/3#?

How do you solve the following equation #sin 2x  sin x = 0# in the interval [0, 2pi]?

How do you show #cos (arctan x) = [ 1 / ( sqrt(1 + x^2))]#?

How do you find the limit of #sec3xcos5x# as x approaches pi/2 from the left?

Question #64850

Segment #ST# has endpoints of #S(2, 4)# and #T(6, 0)#. What is the midpoint of segment #ST#?

What is the limit of #(t^(1/3)2)/(t8)# as t approaches 8?

The sides of a triangle measure 6 inches 8 inches, and 10 inches. The triangle has one 90° angle. What type of triangle is it?

Question #9adaf

Question #4f402

How do you find the 7th term of 2(sqrt{5}), 4(sqrt{5}), 6(sqrt{5}), ...?

What is the antiderivative of #x^3/(1+x^2)#?

Bradley is extending his rectangular living room. The original dimensions are 6 feet by 11 feet. If he extended his room by #x+8# feet, what is the new area? How many square feet of area did he add?

There were five people in group A, with a mean lQ of 100, and five in group B, with a mean IQ of 74. When Jack left group A for group B, both means increased, and the total of the two new means was 180. What Is Jack's IQ?

Question #56a98

What are all the possible rational zeros for #f(x)=2x^34x+8# and how do you find all zeros?

How do you evaluate the definite integral #int (2t1)^2 # from #[0,1]#?

How do you express #f(theta)=sin^2(theta)+6cot^2(theta)8cos^4theta# in terms of nonexponential trigonometric functions?

How do you solve #sqrt(x+6)5=x+1# and find any extraneous solutions?

If #f(x)=1/(x+1)# how do you evaluate #(f(x+h)f(x))/h#?

Question #58346

How do you solve #5+(sqrt(x+2))=8+(sqrt(x7))#?

Use the exponential growth model #P(t) = P_0e^(kt)#. The halflife of thorium229 is 7,340 years. How long will it take for a sample of this substance to decay to 20% of its original amount?

Let #a,b,c,m# and #n# be integers such that #m<n# and define the quadratic function #f(x) = ax^2+bx+c# where #x# is real. Then #f(x)# has a graph that contains the points #(m,0)# and #(n, 2016^2)#. How many values of #nm# are possible?

How do you find the exact value of #csc ((5pi)/6)# using the half angle formula?

The length of a rectangular piece of carpet is 4 yards greater than the width. How do you express the area of the carpet as a function of the width?

Question #e1c7e

In a class of 300 students, 242 take math, 208 take science, and 183 take both math and science. How many students take neither math nor science?

How do you integrate #{x(sqrt(1+x^2)} dx# from 0 to 1?

How do you evaluate #log_7 (49)#?

How do you find the x and y intercept of #4x + y = – 8#?

How do you find the coordinates of the other endpoint of a segment with the given endpoint T(5,9) and midpoint M(8,2)?

How do you write the equation of a parabola in vertex form that has a focus at #(6,5)# and a directrix of #y=1#?

How to find the distance from the point A(3,5,5) to the line x = 2 + 3t , y= 12t, z= 1 + t ?

Question #3e542

What is the limit of # ((1)+(3/x)+(5/x^2))^x# as x approaches infinity?

How do you evaluate the limit #(sqrt(x+1)2)/(x^29)# as x approaches 3?

How do you find the limit of #(1sin(theta))/(1+cos(2theta))# as theta approaches pi/2?

How do you integrate #x/((x1)(x^2+4)# using partial fractions?

How do you integrate #(x^21)/(x^416)# using partial fractions?

How do you find the domain and range of #f(x)=1/(x+3)#?

How do you solve #1+ 6( 2x + 3) ^ 1+ 8( 2x + 3) ^ 2= 0#?

How do you solve #32y5=27# and find any extraneous solutions?

There are 15 students. 5 of them are boys and 10 of them are girls. If 5 students are chosen, what is the probability that there are at least 2 boys?

A circle has a center that falls on the line #y = 8/7x +2 # and passes through # ( 7 ,8 )# and #(3 ,9 )#. What is the equation of the circle?

How do you find the first and second derivative of #(ln(x^21))/x^2#?

How do you simplify #(3sinx)/cos^2x*(cos^2x+cosxsinx)/(sin^2xcos^2x)#?

How do you simplify #(3+9i)/(3i)#?

How do you find the equation of a circle whose center of this circle is on the line 2x5y=9 and it is tangent to both the x and y axis?

How do you differentiate # sin^2(x/2)#?

How do you find the derivative of #Y= (e^xe^x)/(e^x+e^x)#?

What is the equation of the line that is normal to #f(x)=e^x # at # x=2 #?

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