02/09/22

Let f(t) denote your height (in meters) above ground at t minutes. Find a formula for f(t).
A ferris wheel is 35 meters in diameter and boarded at ground level. The wheel makes one full rotation every 4 minutes, and at time you are at the 9 o'clock position and descending. Let  denote... more
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02/09/22

Find the equation of the tangent line at x = −4 on the function 1/x^2 
the limit of the difference quotient giving us the slope of the tangent line
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02/08/22

Answer the following question.
An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each other. One airplane is 70 miles from the point and has a speed... more
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02/08/22

DISCRETE MATHS HELP NEEDED !!
On the menu of a Chinese restaurant, there are 7 chicken dishes, 5 beef dishes, 4 seafood dishes, and 10 vegetable dishes.In how many ways can they order if at most one dish of each kind is chosen?
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02/07/22

Find the derivative of the trigonometric function.

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02/05/22

Find the values of x where the line tangent to the graph of f (x) = 1/x has a slope of − 6
Find the larger and smaller solutions of x
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02/05/22

calculus - math
In the following intervals put a + if the derivative of f is positive or put a − if the derivative of f is negative. Interval: (−∞, −2.6) (−2.6, −1.1) (−1.1, 0.2) (0.2,∞)
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02/05/22

math - calculus
You pour yourself a cup of coffee. The function that models the cooling of 73◦C degree cup of coffee in a room of temperature 20◦C is given by T(t) = 20 + 53e^kt .where the temperature T is (C),... more
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02/05/22

For what values of x does the graph of f(x) = x + 2 sin x have a horizontal tangent?
Must only be the smallest positive value of x
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02/04/22

How can I find this answer?
Determine the point(s) (if any) at which the graph of the function has a horizontal tangent line.y = √3 x + 2 cos(x), 0 ≤ x < 2𝜋Step 1: Find the derivative y'Step 2: Set y'=0 and solve for x x1=... more
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02/01/22

Simplify (1/2r^6)^-6. Write your answer using only positive exponents. Evaluate any numerical powers.
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02/01/22

The sum of the two shorter sides of a right angled triangle is 18cm. Calculate. A.) The least possible length of the hypotenuse. B.) The greatest possible area of the triangle
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01/29/22

Using the substitution which of the following is correct
Using the substitution u=square root of x, the antiderivative (upper limit is 4 and lower limit is 1)( e^(square root of x))/(square root of x)dx is equal to what
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01/27/22

Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree​ 4; ​ zeros: 3−5i; −1 multiplicity 2
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01/25/22

Math Homework Need Help
Let f(x)=1/2x2-1. Find slope mPQ of the secant line that contains points P=(2,f(2)) and Q=(2+h,f(2+h)) and then compute mPQ for h=0.5.
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01/25/22

Zeros of Polynomial Functions
construct a polynomial function of least degree possible using the given information.Real roots: –2,1/2 (with multiplicity 2) and (−3,f(−3))=(−3,5)
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01/22/22

I need help finding the composition of these functions and solving the equation

Find (f ∘ g)(x + 5). (Simplify your answer.)f(x) = 2xg(x) = x − 9(f ∘ g)(x + 5)=
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01/22/22

Area between curves
y = 8 - 7x and y = (1/x)Area in units2
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01/22/22

Use the Laws of Exponents to rewrite and simplify each expression.
(2x−3)−2x−2
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01/22/22

Consider the function f with the table of values given below and consider the function g(x) = 3f (2x-4) + 3.
x | f (x)0 | -44 | 08 | 1012 | 12x | g (x)0 | ?4 | ?8 | ?12 | ?
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01/19/22

Rate-Distance-Time word problem

The problem: A man having ten hours at his disposal made an excursion, riding out at the rate of 10 miles an hour and returning on foot, at the rate of 3 miles per hour. Find the distance he rode.... more
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01/18/22

Find the value of c for which the area enclosed by the curves y=c-x^2 and y=x^2-c is equal to 24.

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01/15/22

Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the x-axis.
x + y2 = 36
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01/14/22

Find the radius of a sector with a central angle of 30 degrees if its perimeter is the same value as its area.
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01/13/22

Which of the following represents the linear approximation to the function f (x) = x^3 + 5x^2 - 9x -5 in the vicinity of the point (1,-8)?
a. y = -4x - 4b. y = -2x - 6 c. y = -8d. y = 2x -10e. y = 4x -12
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