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If the bottom of the ladder is sliding away from the wall at a rate of 0.9 meters per second, how fast is the top of the ladder moving toward the ground?
Now using the laws of cosines and sines, find the remaining sides and angles. Add the information to your sketch.
Suppose in right triangle ABC, cos(A)=3/7, with the right angle at C. Suppose the length of side AC is 14 units. Draw a sketch, labeling all vertices.
Find C and k, and then rewrite the equation P(t)=Ce^(kt), with the constants you just found. Find the initial population and find P(6). Then state your results.
Write it as f(x)=a(x-h)^2+k. Show all steps. Explain the vertex and equation for the axis of symmetry in terms of your answer from (i).
Find an equation which represents all points in the X-Y plane which are equidistant from the point (1, 1) and the line x = -1 .
Statements P and Q contain equations. Decide whether neither, either, or both of these are identities and then choose the appropriate answer below.
For p = 1, and a focus at the pole, transform the polar equation (2) to the Cartesian equation (1) using the transformation, and determine the constants A-F in (1) in terms of eccentricity (e).
If you have 0.351 m3 of water at 25.0°C and add 0.112 m3 of water at 95.0°C, what is the final temperature of the mixture?
Below are 4 different temperatures associated with a circumstance. Convert these temperatures and match them to the corresponding temperature to the right.
How should you report this temperature to your friend in Israel (i.e., on the Celsius scale) and to your SI-enthusiastic physicist neighbor (i.e., on the Kelvin scale)?
Assuming that all the heat given up by the silver is used to melt the ice, and not all that ice melts, how much ice is melted?
Assuming that the styrofoam has absorbed a negligible amount of heat and that no heat was lost to the surroundings, what is the specific heat of the metal? Using the table for specific heat, what is
You add 8950 J of heat to 3.00 mol of iron. The molar mass of iron is 55.845 g/mol. a) What is the temperature increase of the iron?
Find the exact values of sin 2u, cos 2u, and tan 2u using double- angle formulas. cos u= -12/13, pi/2 < u < pi. Find the exact values of sin 2u, cos 2u.
Use double-angle formulas to rewrite the expressions: 8 cos^2 x - 4 , 1/4 cos^2 x - 1/8 use the power-reducing formulas as many times as possible to rewrite the expression in terms of the cosine.
Which statement is true about a frequency distribution? Which statement is not true about the class intervals in a frequency distribution?
Are your cosine and sine models the same function? Explain why or why not. If so, show algebraically why these two graphs are equivalent.
Determine the amount of money to nearest dollar, you must invest at 6% a year, compound annually, so that you will be a millionaire in 33 years?
A culture of bacteria doubles after 4 hours. What proportion of the original number of bacteria Q0 will be present after 8 hours?
Determine when the function has a horizontal tangent(s) and state the equation in the interval 0(less than or equal to)x(less than or equal to)2pi for y=((-sqrt(3))/2)x-sin(x)
Consider a peice of wire that is bent into the following pac man shape the radius is 3.0 cm and the angle is 96 degree. How long is the wire? What is the area inside the shape?
A wind speed of 60 km/h is directed towards the se. A plane flying due north has an air speed of 280 m/s. What is the speed in compass notation, the plane is atually travelling seen by air traffic
Two forces , each 2200 N , act on an automobile as follows: t2 is directed 40 degres above the road. What is the the total force ( magnitude and direction ) acting on an automobile.
A diffferential equation in the form of M(x,y) dx + N(x,y) dy = 0 is called exact if dM/dy = dN/dx. Determine if the differential equation (2x(y^3) +2) dx + (3x^2 y^2 + e^y) dy = 0 is exact.