The equation of motion of a particle is s = 2 - 912 + 4t + 2, where s is in meters and t is in seconds. (Assume tz 0.) (a) Find the velocity and acceleration as functions of t. v(t) = a(t) = (b) Find the acceleration after 1 s. a(1) m/s² %3! (c) Graph the position, velocity, and acceleration functions on the same screen. 15 15 10 10 -5 3 -5 а з -10 -10 -15 S. -15 o-20 0-20f 20 20 15 15 10 10 -5 -5 -10 -10 O-15 O-15

Q: baseball team plays in a stadium that holds 56,000 spectators. With the ticket price at $10, the ave...

A:

Q: Example 4 Video Example ) x2 + x - 3 Let y = Use the Quotient Rule to find y'. x3 + 8 Solution (43 y...

A:

Q: At a sand and gravel plant, sand is falling off a conveyor belt at a rate of 36 cubic feet per minut...

A:

Q: Find the average value of the function over the given interval. (Round your answer to four decimal p...

A:

Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an answ...

A: Given that:                           NOTE: As per our answering guidelines, we can only answer 1 qu...

Q: Vx² – 9 lim x→-∞ 2x – 6

A:

Q: Compute the surface area of revolution about the x-axis over the interval [0, 9] for y = x. (Use sym...

A:

Q: Two ships leave the same port at noon. Ship A sails north at 17 mph, and ship B sails east at 10 mph...

A:

Q: 3. Given r(t) = 12ti + 5cos t j + 5 sin t k , find the unit binormal vector and torsion.

A: Given that: r(t)=12ti+5cost.j+5sint.k

Q: The graph of f is given. Use the graph to compute the quantities asked for. (If an answer does not e...

A:

Q: d. e. lim f(x) X→→2+ y = f (x) f. lim f(x) g. lim f(x) x→-2 X→-0 h. lim f(x) i. f(-2) X→+∞ 2.

A: limx→a f(x) = L if and only if limx→a+ f(x) = L = limx→a-f(x).

Q: A rectangle is growing such that the length of a rectangle is 5t + 4 and its height is t, where t is...

A: Given:- A rectangle is growing such that the length of a rectangle is 5t + 4 and its height is t4 , ...

Q: Consider the following. y = tx2 + t8x Find dy dx dy dx dy Find dt dy dt

A:

Q: Analyze the polynomial function f(x) = (x + 6)(x – 1) using parts (a) through (e).

A: Given:- f(x)=(x+6)(x-1)2  To find:- c. Determine zeros and multiplicity d . maximum number of turnin...

Q: QUESTION 1 Which is the best descriptor of the level curves for a function f(x.v)? a. A selection of...

A:

Q: A graph of a population of yeast cells in a new laboratory culture as a function of time from t = 0 ...

A: Solution is here

Q: The graph of y = f(x) (solid) and y = g(x) (dashed) is shown 6+ 4 -6 -5 -4 -3 -2 -2- -4- -5- -6+ Fin...

A:

Q: Find the values of c that make f continuous everywhere: ´x² – c² if a 9 smaller c = larger c = Use ...

A:

Q: Find (fo g)(x) and (go f)(x). 1(x) = 6x + 1; g(x) = x (fo g)(x) = (Simplify your answer.)

A:

Q: What is the rate of change of S with respect to r and what does it tell us if the interest rate is a...

A:

Q: 10telupleO nnidgs c) tanx = -1.5 d) 2 sin x = 1.05 %3D 0". rdguena a": 123-6 b": o"11so b" 303 6a" द...

A: Note: As per our policy we can only solve three subparts of the  question.

Q: Find (f o g)(x) and (g o f)(x). 8. 10x) = 5x² - 3; g(x) = = %3D (fo g)(x) =| (Simplify your answer. ...

A: Given that f(x)=5x2-3,    g(x) =8x. We have to find f∘gx and g∘fx. Now, f∘gx = fg(x)         and    ...

Q: Consider the curve defined by the equation 2x +y 3xy for questions (4-6). 3. 2 -3 -2 -1 1 2 3 -1 -2 ...

A:

Q: Find the arc length of y = (x + 4)° + (x + 4) for 1 < x < 2. Give your answer to three decimal place...

A:

Q: Consider the following. if x <1 if x 21' f(x) = a = 1 (a) Find the left-hand and right-hand limits a...

A: Topic:- calculus

Q: Sketch the graph of f(x) = x2 - 9, x =< 4 f(x) = 8x - 25, x =< 4 Is f(x) continuous at x=4? Expla...

A: To check: Whether the functions f(x) = x2 - 9, x≤4 and f(x) = 8x - 25, x≤4or not. . Solution: Sketch...

Q: Compute the surface area of revolution about the x-axis over the interval [0, 1] for y = e-9x. (Use ...

A:

Q: f(r) = 4² and g(x) = 3². What is f'(2) = What is g'(2) = Which has a higher rate of change at r = 2?...

A: Given that: f(x)=4x and g(x)=3x

Q: Evaluate the following indefinite integral | 8 sin(x) – 2 cos(x) dx =

A: We have to find integral

Q: e height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = - 1...

A:

Q: Determine the point on the curve at which the slope is 18. r³ - 9x – y = 0

A:

Q: ve the following: 1. Find the magnitude and direction of the given vector from D(-5, -4) to E(8, -2)

A:

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Write the correct u and du. S. Ve 3x – 16 3e *d...

A: Given:  1) ∫3e3xe3x-164dx   substitute u=e3x-16       dudx=3e3x→dx=e-3x3du      =∫1u4du       =∫u-14...

Q: Find the linearization at x = a. f(x) = , a = 7 (Express numbers in exact form. Use symbolic notatio...

A: Lx = f(a)+f'(a)(x-a)

Q: 13 Use the Linear Approximation to estimate Af for f(x): when a = 2 and Ax = 2+x %3D (Use decimal no...

A:

Q: f'(r)

A: Follow the procedure given below

Q: 4 dx the integrand is x2 In x2 A) True B) False

A: We can find the answer as below.

Q: Reduce the equation to standard form, classify the surface and sketch it    4y2 + z2 - x - 16y - 4z ...

A: Given: 4y2 + z2 - x - 16y - 4z + 20 = 0

Q: Express the product as a sum or difference. sin 6x sin 4x (cos 10x - cos 2x) O sin2 24x2 (cos 2x - c...

A:

Q: Find the minimum and maximum values of the function y = 2613 + 39t² on [1,2] by comparing values at ...

A:

Q: Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify...

A: Apply integration to find the area of the region

Q: Roughly, speaking, we can use probability density functions to model the likelihood of an event occu...

A:

Q: Consider the graph of the function f(x) shown below. y List any x-values at which f is not continuou...

A:

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(t) = t/...

A:

Q: Find a point on the curve x³ + y = 11xy other than the origin at which the tangent line is horizonta...

A:

Q: (a) If G(x) = 5x2 - x³, find G'(a) and use it to find equations of the tangent lines to the curve y ...

A:

Q: Find the formula for the figure below:

A: Given that: Graph of a function.

Q: Find the area of the given region. Use a graphing utility to verify your result. 1 + In x3 y = y

A: Given: - The function is, y=1+lnx3xand use a graphing utility to verify your result, To find: - The...

Q: Let z(x, y) t° & y = 1+ 6t. = xe9 where x = dy and using the chain rule. dt dx dz by first finding d...

A:

Q: Suppose that the graph of f(x) is given below. Which of the following is the smallest?

A: Given that: