Calculus question and answers for November 18, 2023
- Q Given a circle with center (0, 0) and radius 4.6,(a) Write an equation of the circle in standard form.(b) Graph the circle.Part 1 of 2(a) An equation of the circle...
- Q Find the decimal approximation, rounded to two decimal places, of the solution of the equation.5x = 30Type your numeric answer and submit
- Q What is the image point of (-8,-8) after the transformation Tx-axis T-4,-3?
- Q Evaluate the following using the change of base formula. Round the answer to 4 decimal places.log7 63
- Q Expand the logarithm.In (2x-1 3)ln(2x - 1) - 3log(2x - 1) - log 3ln(2x - 1) - In 3ln 2+ lnx - ln 1-ln 3
- Q Evaluate the following without using the calculator.log5 57y
- Q Use logarithmic properties to combine logarithms into one single logarithm if possible.Inx+ln(x-4) 2ln(x + 1)In x ln(x-4)In (x+1)log x(x-4)(x+1)x(x-4)(x+1)In x(x-4)ln (x+1)
- Q Let f(x) = 2x - 1 and g(x) = x + 1 2. Find the following.f(g(x)) =g(f(x)) =f(g(3)) =
- Q Correct the following statement.log2 8 = 4Use fx to type math equations.
- Q Identify the base and exponent of the following exponential equation.In A = x
- Q Solve the system of equations.x - 2y - z = -2-x + 6y - 3z = 62x - 11y + 5z = -11Select the correct choice below and fill in...
- Q Solve the system of equations.2x-3y-5z = -46x-9y-15z = -32x-2y-3z=4Select the correct choice below and fill in any answer boxes within your choice.A. There is one solution. The solution is(Type exact...
- Q Describe the transformation of f(x) = sin x to g(x) = sin (x + ? 3).A. f(x) is shifted ? 3 units up.B. f(x) is shifted ? 3 units down.C....
- Q Find the exact value of: cos(345)
- Q Sketch a graph of the following functions. List the the domain and range of each function in interval notation.(a) f(x) = 3x + 1(b) g(x) = ln(x + 2)(c) h(x)...
- Q Using the unit circle, compute the exact value of sin (4? 3 + ? 4)-?2+?6-?6-?2none of these?6+?2 4?2-?6 4
- Q Let f''(u) = e-4uFind the particular solution to the above differential equation that satisfies the following initial conditions.f'(0) = -9 f(0) = 3
- Q A nickle is tossed vertically from the roof of a building that is 46 meters tall. If the nickle impacts the ground after 3 seconds, determine the initial velocity, vo,...
- Q From a height of 69 meters, a softball is thrown vertically upward with a velocity of 17 meters per second. Determine the maximum height reached by the softball. Round the...
- Q Suppose a person 6.6 feet tall throws a rock vertically upward. Determine the initial velocity, vo, of the rock, if the rock reaches a maximum height of 42.6 feet. Round...
- Q Use the product of logarithms property to rewrite the expression. Simplify as much as possible. Enter the final result of the expression without any blank spaces.log(100x)
- Q Use log properties to rewrite the expression. Simplify as much as possible. Enter the final result without any spaces.log 3
- Q Solve for x by converting the logarithmic equation to exponential form.log? (x) = 4
- Q Evaluate the expression using a calculator. Round to the nearest thousandth.In (?/0.76) =
- Q Find the domain of the following function.Type "infty" for ?. Do not use any space in your answer.
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