Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition + Mathxl 1-year License
5th Edition
ISBN: 9780133314533
Author: Prentice Hall
Publisher: Prentice Hall
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c) Graph each of the two functions for a 2-min rided) Find the derivative of f(t) and g(t). Based on the graphs, what is the maximum height reached be the rider? When does this occur?e) Find the acceleration function for f(t) and g(t). Based on those derivative functions, what is the maximum vertical speed of the rider?
According to the
following data: (0,0), (0.2,
1), (0.4, 3), (0.6, 5), (0.8,
7), (1.0, 5), (1.2, 3) find the
first derivative at point
0.6 by using the following
stencil form. *
i-2 i-1
i
ÖÖÖÖÖ
-10 3 -2
6hD= -9
The value is -18
The Value is -15
O the value is -16
the Value is -17
O No one
i+1
i+2
4
The curve y = f (x) passes through the point A(1; 2). Each tangent at any point M(x,y) on the curve intersects the straight line y = 1 at a point whose x coordinate is twice the x coordinate of point M. Determine the equation of the curve.
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- The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?arrow_forwardCalculus 441arrow_forwardA Ferris wheel has a diameter of 40 meters and rotates at a constant speed completing one full revolution every 2 minutes. If a person gets on the Ferris wheel at the bottommost point, express the person's height above the ground as a function of time, assuming the center of the Ferris wheel is at ground level. Answer: The Ferris wheel has a diameter of 40 meters, which means the radius (r) is half of the diameter, i.e., (r = 20) meters. The Ferris wheel completes one full revolution every 2 minutes. The period (T) of the Ferris wheel is the time it takes to complete one full revolution. In this case, T = 2 minutes. The angular frequency (w) can be calculated using the formula (w = 2/?). Substituting the given value for (T): w = 2/? = ? radians per minute. Now, the height (h) of the person above the ground as a function of time (t) can be expressed using a sine function. The general form of a sine function is h(t) = A sin(wt+ϕ)+C where: - A is the amplitude (half the range of the…arrow_forward
- A particle performs a movement on the same line from the origin. The equation that determines your distance in meters for a certain amount of time (in seconds) is d(t) = -0.5t3 + 4.5t? – 12t + 11 with t>0. The time in which the acceleration is zero corresponds to Note: Remember that velocity (speed) is the first derivative of distance and acceleration corresponds to the derivative of velocity (speed). a) t = 3 s b) t = 2 s c) t = 4 s d) t= 5 sarrow_forwardsolve part (b) pleasearrow_forward
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