The annual sales (in millions of dollars) of Nintendo Wii t years from the release 50t2 date in 2006 is given by: S(t) = t2+2° 15. Find the marginal sales function.

Q: On her bicycle ride Fabiana's position (in km) as a function of time (in hours) is s(t) = 22t + 17.…

A: Fabiana’s position (in km) as a function of time (in hours) is given by

Q: Find the slope of the tangent line to the curve - 3a? + xy + 3y³ = 45 at the point (– 3, 3).

A:

Q: Find the slope of the tangent to the curve r=−6+5cosθ at the value θ=π/2

A: Given curve is

Q: Find the slope of the tangent to the curve x2 + 8xy + y = 10| at (1, 1)|

A: The equation of the given curve, x2+8xy+y2=10

Q: Find the equation of the line tangent to the curve y=t-1 and x= 2t2 at t=2

A: Given: The curves are y = t -1 and x = 2t2 . The value of t = 2   To determine: The equation of the…

Q: Find the slope of the tangent line to the curve V4r + y+ VIY = /13 + V10 at the point (2, 5). The…

A:

Q: Find the slope of the tangent to the curve a+ 4xy+ y = 46 at (1,5). The slope is | (Enter undef if…

A: Topic = Derivative

Q: d. Find the slope of the tangent line to the graph of x +y + xy 3 at (1, 1).

A:

Q: Find the slope of the tangent line to the function: 4y 27 1 + х2 At point (1, 1) . 2.

A: Given:

Q: For the functiony =x2 + 3x + 9at(3, 1),find the following. (Give exact answers. Do not round.)(a)…

A: Given function y = x2+3x+9.The slope of the tangent line at a point(x,y)  is nothing but the value…

Q: Find an equation of the tangent line at a point (0, 0) on the curve x =t- 100, y = t2– 10t.

A:

Q: Find the slope of the tangent to the curve y at (2, 1) xy + 6

A:

Q: For the function y = 6x² + 5x + 6, at the point x = 7, find the following. %3D (a) the slope of the…

A: a) To find the slope of the tangent at x=7, we need dy/dx at x=7

Q: Find the equation of the tangent line to the curve x =t2 -2, y =t³ -2t + 1 at the point t=2.

A:

Q: Estimate the slope of the tangent line at the point t=−4, for f(t)=15t−6. (Give your answer as a…

A:

Q: The value of the instantaneous velocity at t = 1 is

A: Consider the position function To calculate the instantaneous velocity

Q: At what point on the graph of f(x) = 3x² +x is the tangent parallel to the line with equation y = 4x…

A:

Q: What is the graphical interpretation of instantaneous velocity at a specific time t = t0?

A: Instantaneous velocity at time t=t0 is the slope of the line tangent to the graph of position as a…

Q: Can you solve this problem and show all of the steps and say the correct letter

A: here the given equation, we have to find the slope of the tangent at point (1, 1).

Q: Pls help ASAP

A:

Q: .find the points on the curve where the tangent is vertical x(t)=t^3-3t+2,y(t)=t^3-3t^2+2

A: Given: xt=t3-3t+2yt=t3-3t2+2 We first need the derivatives of parametric equations:…

Q: Find the equation of the tangent line to the curve x=t2−2t, y=t2+2t at the point t=2.

A: Given equation of curve is Now,

Q: At what point on the curve x = 6t2 + 5, y = t3 − 1 does the tangent line have slope of 1/2?

A: We can use application of derivative in order to solve the given problem.

Q: Estimate the slope of the tangent line at the point t = -7, for f(t) = 11t-3.

A:

Q: What is the slope of the tangent line that touches the graph of In y + e2z-1 = 3y – 4x at the point…

A: Given that: lny+e2x-1=y-4x

Q: Find the slope of the tangent line to the graph r=2sin(0) at the point V3, 3 11.

A: We have to find

Q: at time t20, the velocity of a body moving along the s-axis is v=t - 7t+ 6. When is the body's…

A: Explanation and solutions is given below....

Q: The position function of a particle is given by s(t) = 3t2 – t3, t > 0. (a) When does the particle…

A: The given position function is:  s(t)=3t2-t3So, the velocity function…

Q: What is the instantaneous slope of y == at z = 5?

A: for the instantaneous  slope for a function f(x) at x=a we have to find f'(x) and then put x=a in…

Q: At what points on the given curve  x = 2t3, y = 4 + 16t − 10t2  does the tangent line have slope 1?

A: The tangent line of any given function is the line which  touches the curve of function at only one…

Q: Find the slope of the tangent line to the curve Ar 3ay + 2y°= 3

A: Given,         The curve is 4x2-3xy+2y3=3 at the point 1,1.

Q: Find the point in the parabola y2 = 4x at which the rate of change of the ordinate and abscissa are…

A:

Q: The distance of a body travels as a function of time and is defined by x(t) = 18t + 9t^2. What is…

A: Given that: Distance travelled by the body is given by:             x(t)=18t+9t2

Q: Find an equation for the instantaneous velocity v(t) if the height of an object is defined as h(t)…

A: To find: The instantaneous velocity at any point in time. Given: The height of an object is .…

Q: Find an equation for the horizontal tangent to the curve at Q. y = 1+ v2cscx + cotx

A: To find tangent line , find out the slope of the tangent line Take derivative to find out the slope…

Q: Suppose the position of an object moving in a straight line is given by s(t) = 7t³ -² +6. Find the…

A:

Q: The position function of a particle is given by s(t) = 3t2 - t°, t 2 0. (a) When does the particle…

A: This question is based on derivative application.

Q: Find the slope of the tangents to the curve at the points (P1 and P2) where it crosses the x-axis.…

A: First find points P1 and P2 and than find the derivative at that points.

Q: What is the slope of the tangent line that touches the graph of In y + e2"- = 3y – 4r at the point…

A:

Q: The position of a moving object is given by the function s (t) = 4t² – 10. What is the instantaneous…

A:

Q: Find the equation for the tangent to the curve y = exp [2x] at the point (9, e 162). f(x) = exp [2x]

A:

Q: Find the equation of the tangent line to the curve x=4+2t, y=1−t2 at the point t=1.

A: We need to find the equation of tangent line to the curve at point t=1

Q: Find an equation of the tangent line to the curve c(t) = (5t2 - 6, 4t2 - 16t) at t = 2.

A:

Q: Find the point(s) on the curve t3 3t, y 2t2 +t 2 x = - where the slope of the tangent line is equal…

A:

Q: Let v(t) = 3t – 5 be the velocity function for a particle moving along a straight line. Here,…

A:

Q: Find the point where the tangent line to y = a" at a = 0.6 crosses the x-axis. x-intercept =

A: X- intercept is x=0.45 See the calculation below

Q: What is the slope of the line tangent to the curve y = 3x² + 6x +3 at x = 4? Oy' = 51 O y' = 30 O y'…

A:

Q: A particle moving in a straight line is at a distance of s(t) = 1.lt³ + 13t feet from its starting…

A: The solution is given in next step

Q: For what value(s) of x is the line tangent to the curve y = xV6 - x horizontal? Vertical?

A: Given curve is: y=x6-x Differentiating with respect to x we get,…