Teresa is walking. D (t), given below, is her distance in kilometers from Newbury Heights after t hours of walking. D(t)=11.6-4t

Q: On a college campus of 5,000 students, one student returns from vacation with a contagious flu…

A: Given:

Q: The position of a particle is given by s(t) = t³ – 20.5t² – 2t, t > 0. When does the particle reach…

A: Given,           The position of a particle is given by st=t3-20.5t2-2t , t≥0.             The…

Q: The vertical position of a particle is given by the function s = t – 3t2 – 2. How far does the…

A: Given that the vertical position of a particle is given by the function s=t3-3t2-2.It is required to…

Q: S(r) = 3x2 – 5x+ 10 What is the rate of change as x goes from r=2 to r =3?

A: Given data :  f(x) = 3x2 - 5x + 10 x1 = 2 to x2 = 3

Q: Bob starts at home and for the next 4 hours he jogs along a straight path with a velocity function…

A: The objective of the question is determine the total distance .

Q: The traffic flow rate past a certain point on a highway is q (t) = 1400 + 2400t – 210t? where t is…

A:

Q: The distance d of a particle moving in a straight line is given by d(t) = 2t3 + 5t – 2, where t is…

A: Note that:-Velocity of a particle is given by differentiating distance d(t) with respect to (w.r.t)…

Q: On a college campus of 3000 students, the spread of flu virus through the student is modeled by…

A: The logistic growth rate model always produces an exponential function. If the model contains the…

Q: After t hours of operation, an assembly line is producing power mowers at the rate of r(t)=21-.8t…

A:

Q: The revenue R of skiing facilities in the united states from 2000 through 2008 can be modeled by…

A: Revenue ModelR=1548e0.0617tWhere t=0 corresponds to 2000

Q: c. Estimate -dx using the midpoint rule with n=4

A:

Q: The surface area S (in square meters) of a hot-air balloon is given by S(r) = 4xr where r is the…

A: If f is a function of x and x is a function of t, then ft is nothing but the composite function fxt.…

Q: If a ball is thrown into the air with a velocity of 40 ft/s, itsheight (in feet) after seconds is…

A:

Q: The rate r at which people get sick during an epidemic of the flu can be approximated by r =…

A:

Q: d*y 4. Find 5 of the function f (x) = - e dz"

A:

Q: A baseball that is thrown in the air follows a trajectory of                  h(t)=−4t2 +12t+6,…

A: When the ball hits the ground then h(t)=0 So the equation becomes  −4t2 +12t+6=0

Q: The revenue R of skiing facilities in the united states from 2000 through 2008 can be modeled by…

A: Given, R=1548e0.0617t So, the rate of change of revenue with respect to time dR/dt =  1548 *…

Q: The position of a moving object is s(t)=t³-3t²-45t –1meters to the right of 0 in t seconds. (a) When…

A: Velocity of the object = diffrentiation of postion of the object.                             V(t) =…

Q: A particle is moving along the straight line and its position at any time t ≥ 0(in seconds) is given…

A: Given, st=t3-6t2+9t  meters Time interval = [0, 2]

Q: Find d2y/dx2 for the following function. y=e7x^2

A:

Q: a ball is thrown into the air with a velocity of 36 ft/s, its height (in feet) after t seconds is…

A: Given that its height after t sec isy = 36 t -16 t2initial when t = 0    v(0) = 36 ft /secTo find…

Q: dx Find for the following function. 3at? y= |+t5 3at X =

A: The objective  of the question is find the derivative of the function.

Q: An environmental protection agency discovered in the beginning of 2009 that a waste dump has been…

A: Let's find

Q: The percentage of P doctors who accept a new medicine is given by P(t)=100(1-e^-0.16t) Where t=time…

A:

Q: I am trying to find the time when the object reaches its highest point and s(t) = -4.9t2+11t+600…

A: given, s(t) = -4.9t2+11t+600 with a rate of 11m/s

Q: The height above ground of an object movingvertically is given bys = -16t2 + 96t + 112,with s in…

A: Given: st=-16t2+96t+112 for finding velocity at given point, first we find time where position is…

Q: Bob starts at home and for the next 4 hours he jogs along a straight path with a velocity function…

A:

Q: Jenny is walking, D(t) given below, is her distance in kilometers from Tomsville after t hours of…

A: D-1(x) is such that D[D-1(x)] = x and x is an output of function D Thus D-1(x) is a substitute for…

Q: The position of an airborne object at any time t is given by h(t) = -9.8t2 + 25t + 10. At which…

A: Consider the position of airborne object is given by function: ht=-9.8t2+25t+10 Find the values of t…

Q: On Earth, in the absence of air friction, a rock thrown vertically upward at a velocity of 64 feet…

A:

Q: For a t-curve with df = 20, find the t-value to.01- O A. 1.325 O B. 2.528 O C. 2.330 O D. 2.539

A:

Q: velocity

A:

Q: If a ball is thrown into the air with a velocity of 40 ft/s, its height (in feet) after t seconds is…

A:

Q: c) Suppose a car drives at a speed of (5+ 3t ) m/s where t is time in seconds. How far did the car…

A:

Q: The height (in feet) at any time t (in seconds) of a projectile thrown vertically is h(t) =-16t2 +…

A: We have to find the velocity when the object hits the ground. The given height function is…

Q: Use the position function s(t) = −4.9t2 + v0t + s0 for free-falling objects. A projectile is shot…

A: Given: s(t) = −4.9t2 + v0t + s0  A projectile is shot upward from the surface of Earth with an…

Q: The surface area S (in square meters) of a hot-air balloon is given by S(r) = 4tr where r is the…

A: find the surface area S of the balloon as a function of the time t.

Q: The velocity​ (in feet/second) of a projectile t seconds after it is launched from a height of 10…

A: To solve the following problem

Q: A car driving along a freeway with traffic has travelled s(t) =r' – 31* + 3t + 20 meters in t…

A:

Q: The distance in feet of an object from a starting point is given by s(t)=2t2-5t+40, where t is time…

A: Consider that distance s in feet as a function of time t in seconds- st=2t2-5t+40   a) Average…

Q: A ball is thrown upward with a velocity of 160 feet per second. The position at any time t…

A: A ball is thrown upward with a velocity of 160 feet per second. The position of the ball at any time…

Q: Solve for y in terms of x for the foltowing

A: e(ln2)y=12lne(ln2)y=ln12yln2=-ln2y=-1

Q: Q4) r(x,y) = x'/s – ½y? is harmonic ? Does the function %3D

A: The given function isf(x, y)=x13-19x-53y2to check the function is harmonic?

Q: A population of bacteria is growing according to the equation P(t)= 1150e.18t. Use a graphing…

A:

Q: A shoe company is planning a new brand of walking shoe for the market. Research shows that x, the…

A: A function f(x) is said to be differentiable at x=a where a∈m, n,if: limh→0fa+h-fah A function f is…

Q: The displacement, s in feet, of a particle moving in a straight line is given by s = 5t2 – 6t + 14,…

A:

Q: Q3: Find for the following functions: - dx csc-/3 5x

A:

Q: Bob starts at home and for the next 4 hours he jogs along a straight path with a velocity function…

A:

Q: A population of bacteria is growing according to the equation P(t)=550e^0.09t Use a graphing…

A: We graph y=550e0.09x and y=894 using a calculator in the same window.

Q: If a ball is thrown into the air with a velocity of 40 ft/s, its height (in feet) after t seconds is…

A: