01/13/22
Which of the following represents the interval where f (x) = xe^x is concave up?
a. x < -2 b. x < -1c. -2 < x < -1 d. x > -2e. x > -1
01/13/22
The position of the particle moving along the x-axis is given by the function f(t) = 4t^3 - 39t^2 +108t. During which time interval(s) is the particle's speed increasing?
a. t > 3.25b. t > 4.5c. 0 < t < 3.25d. 0 < t < 2 and t > 4.5e. 2 < t < 3.25 and t > 4.5
01/10/22
Find the volumes of the solids generated by revolving the regions bounded by the graphs of the equations about the given lines.
y = x2y = 6x − x2a. the x axisb, y=10
01/07/22
The measures of two sides of a triangle and the angle opposite one of them are given. Determine the number of triangles that satisfy the given set of conditions. Please show your solutions.
a = 40.2, b = 52.4, α = 41.5°
Acid solution problem
Theresa Morgan, a chemist, has a 30% hydrochloric acid solution and a 65% hydrochloric acid solution. How many liters of each should she mix to get 735 liters of a hydrochloric acid solution with a...
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01/06/22
If y=(x-5) / (lnx), find y'(e^2).
The answer is ((e^2)+5) / (4e^2) but I am not sure how to get to it.
01/05/22
Question in Description
Consider the differential equation Part A: Find the equation of the line tangent to the solution curve at the point (0, 4). (5 points)Part B: Find the second derivative at (0, 4) and use it to...
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01/05/22
average rate of change of
find the average rate of change of each function on the interval specified.y=1/x, on [1,3]
12/20/21
What is the rate of change of the cameras angle?
A rocket is launched so that it rises vertically. A camera is positioned 15000 ft from the launch pad. When the rocket is 6000 ft above the launch pad, its velocity is 300 ft/s. Find the necessary...
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12/18/21
Optimization Question
An open top box with a square base and rectangular sides is to have a volume of 9 cubic feet. The cost to make the base is 2 square feet and the cost of the material to make the sides is 3 square...
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12/17/21
inequalities and polynomials
a) A polynomial function that has no real zeros will always be exclusively positive or negative (i.e. it will always be either all above or all below the x-axis – eg. f(x) = x2 + 2 has no real...
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12/15/21
use the information provided to write the vertex form equation of each parabola. vertex:(9, -3) focus:(9, -25/8)
use the information
12/15/21
Can you find the equidistant from three points?
Can you find the equidistant from the three points (0,3), (-8,3), and (-8,-5)?
12/14/21
Newton’s Law of Cooling
Coffee is poured at 145ºF into a travel cup. After 25 minutes in a 70º room the coffee has cooled to 137ºF. I accidentally left the coffee on the counter when I left. What is the temperature after...
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write an equation in slope-intercept form for the line that passes through (4,1) and is perpendicular to 4x-y=3
write an equation in slope-intercept form for the line that passes through (4,1) and is perpendicular to 4x-y=3
12/13/21
Trig Identities. Consider the indefinite integral
where 'a' is a constant Evaluate the integral by making the substitution Use the cosine addition identity to rewrite the integrand and then evaluate the integral. What identity do you get when...
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12/13/21
Joselyn and Tanya are on a swim team. The table below shows the probabilities of the team winning or losing when the team is playing away or is playing at home.
Are the events “winning” and “playing at home” independent? (5 points) Show all of your work proving your statement
...
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12/13/21
The logistic growth model H(t)=2000/1+4e^-0.73t represents the number of families that own a home in a certain small(but growing) city t years after 2000.
A) What is the maximum number of families that will own a home in this city?B) How many families owned a home in 2000?C) In what year did 1645 families own a home?
12/13/21
prove: sec(2theta)= (cos(theta)/(cos(theta)+sin(theta)) + sin(theta)/(cos(theta)-sin(theta))
12/10/21
Find the points at which y=f(x)=2x−ln(3x) has a global maximum, a global minimum, and a local, non-global maximum on the interval .1≤x≤2.1.
Round your answers to two decimal places.Local, Non-Global Maximum:(x,y) = (__,__)
A circle is inside a square.
A circle is inside a square.The radius of the circle is increasing at a rate of 3 meters per minute and the sides of the square are decreasing at a rate of 2 meters per minute.When the radius is 6...
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12/02/21
integral problem
assume F'(t)= sin(t)cos(t) and F(0)=5. find F(b) for b=0, 0.5, 1, 1.5, 2, 2.5, and 3. Round to three decimal places.Hint: you are given that F(0)=5. using the fundamental theorem of calculus you...
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12/01/21
Find the partial derivatives
Find the partial derivatives of the function f(x) = 3e^xy with respect to x and y, and evaluate each of them at the point (1, ln 5).
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