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Use Binomial Theorem to determine 4th term of (2x3 - 1)7. Illustrate problem set up and final answer. Simplify final answer. Remember that when finding terms, begin counting with j=0.
Graph exponential function by hand. Find any asymptotes and intercepts and find whether graph of function is increasing or decreasing. f(x)=(5/4)^-x.
Write polynomial as product of linear and quadratic factors which are irreducible over reals. f(x) = (c) Write polynomial in completely factored form.
Write standard form of quadratic function which has indicated vertex and whose graph passes through given point. Use the graphing utility to verify the result. Vertex: (6, 1); Point: (8, -7).
In traveling three-fourths of way around the traffic circle car travels .215 mi. Determine radius of radius of traffic circle? Radius of traffic circle is __ mi.
Correct to the nearest hundredth of the degree, determine angle of rotation essential in the change of axes to rotate xy term from equation 14x^2 + 14xy + 12y^2 - 5y = 6.
Polar equation of the ellipse with directrix x= -d can be written in form r= a(1-e^2) / (1-e cos theta). Illustrate that perihelion distance from the planet to sun is a(1 - e) and aphelion distance
Determine all horizontal asymptotes. Compute all vertical asymptotes. Determine x- intercepts in co-ordinate form. Determine y- intercepts in co-ordinate form. Determine domain of function.
Write the system of equation in matrix form AX=B. Compute inverse of coefficient Matrix. Write it down. Solve system of linear equation.
The tree on hillside casts the shadow 200 ft down the hill. If angle of inclination of hillside is is 23 degrees to horizontal and angle of elevation of sun is 54 degress, determine height of tree.
Find slopes of tangent lines to circle 2) For (x - 4)^2+ (y - 3)^2= 16 that both pass through point (5, -1). Radius should be distance from center of circle to each tangent line.
The nautical mile equals length of arc subtended by the central angle of 1 minute on the great circle on surface of Earth. If radius if Earth is taken as 3960 miles, state 1 nautical mile in terms of
The car runs over the nail at 25 mph and nail is lodged in tire tread 12 inches from center of wheel. Compute angular velocity of nail in radians per hour? Find linear velocity of nail in inches/ho
Use the sum or difference formula to determine exact value of trigonometric function cos 75 degree simplyfy answer, including any radicals, employ integers or fractions for any numbers in expressio
Current of 4 amperes passing through conductor is driven by the electromotive force of 20 volts. Compute electromotive force if 2.1 amperes pass through conductor?
Frequency f in hertz (vibration per sec- ond) of the radio wave differs inversely with wavelength in meters. When frequency is f = 5.4018 × 105 hertz wavelength is = 555 meters. Determine
If two resistances connected in parallel possess the combined resistance of 3.0 ohms and same two resistances have the combined resistance of 16 ohms when connected in series, find resistances?
The bridge is built in shape of the semielliptical arch. It has the span of 96 feet. Height of arch 29 feet from center is to be 9 feet. Determine height of arch at its center.
The scientist starts with 20 grams of the radioactive substance. After seven days, sample has decayed to 17 grams. Compute half-life of the substance.
The half-life of Erbium-165 is 10.4 hours. After 24 hours the sample still contains 2 mg. Find initial mass of sample, and how much will remain after another three days?
The height of the baseball in feet t seconds after it has been hit is provided by f(t)=3+40t-16t^2. Determine height of ball 2 seconds after it was hit. Find initial height of ball when does ball h
The woman walks due west on deck of the ocean liner at 4 mi/h. Ocean liner is moving due north at the speed of 23 mi/h. Determine speed of woman relative to surface of water.
Suppose count grows exponentially, determine initial size of culture? Compute doubling period. Determine population after 90 minutes.
Determine the equation which models motion of mass if its frequency is 1/2 cycle per second, and its amplitude is 9 inches. Determine smallest time at which mass reaches 5 inches below equilibrium?
Points P and Q lie on curves y=x and y=x^2 + 1 respectively. State vertical distance between P and Q as the function of x. Determine the domain of the function?