Solve for ALL values of x in the real number system. If an EXACT solution does not exist, round your answers to the nearest hundredth. sin2x = sinx
Solve for ALL values of x in the real number system. If an EXACT solution does not exist, round your answers to the nearest hundredth. sin2x = sinx
A farmer plans to build a regular hexagonal corn crib with sides 8 feet high. If he wants the crib to hold up to 1,000 bushels of corn, what would the dimensions of the hexagonal base be? (1,000 bushels...
Convert the following angles, assuming the radius of the circle is 1: a.) Convert 120? to radians b.) Convert 2 radians to degrees
Solve for x in the interval... 0<x<2π: 3sin2(2x+1)+2sin(2x+1)-1=0 My teacher says there should be 6 answers. I have a TI-84 calculator, so maybe...
An open box is to be made out of a 6-inch by 18-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. Find the dimensions of the resulting box...
Proving Basic Problems: I have to prove that one side equals the other using identities. √(3cosx+4sinx)2+(4cosx-3sinx)2 = 5 Please show the steps or even try...
A box is constructed out of two different types of metal. The metal for the top and bottom, which are both square, costs $5 per square foot and the metal for the sides costs $2 per square foot. Find...
Hi, I'm trying to find mass of a cylinder using triple integrals. The data I have: - height = h - base is a circle and its radius = a - the density in a point P is directly...
In a survey of 300 individual investors regarding subscriptions to the New York Times (NYT), Wall Street Journal (WSJ), and USA Today (UST), the following data were obtained. 120 subscribe to...
One end of a 9.3 foot pole is 13.6 feet from an observer's eyes, and the other end is 17.4 feet from the observer's eyes. Through what angle does the observer see the pole?
A 900-lb block is being suspended and held stationary by two steel cables as shown. The first cable (to the left of the block) makes a 70 degree angle with the horizontal, while the second cable...
Find the relative extrema for f(x)=2sin2 x-cos2x on the interval [0,2π]. Also find the x coordinates of the inflection points of f(x) on this interval. Give the intervals where the function is...
The manager of a large apartment complex knows from experience that 110 units will be occupied if the rent is 420 dollars per month. A market survey suggests that, on the average, one additional unit...
A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $30/ft and on the other three sides by a metal fence costing $10/ft. If the area of the garden is 22...
The function f(x)=x*sqrt(x^2+8)+9 is concave down for x in the interval_______
Approximate the area under the curve f(x)= 4x2+1 on the interval [2,5] using 4 rectangles of equal width. Get the heights from the right-hand sides.
Did I do this problem correctly? Suppose that f’(x)= 3x2+2e2 and f(0)=5. Find f(x). f’(5)- 3(5)2+2e(5) Eventually I got this answer: f’(5)= 75...
Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’s Rule doesn’t apply, explain why. lim (theta -->...
Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (1, 0).
The radius of a sphere is increasing at a rate of 3 mm/s. How fast is the volume increasing when the diameter is 80 mm?