Crude oil imports to one country from another for 2009–2013 could be approximated by the following model where t is time in years since the start of 2000. I(t) = −35t2 + 800t − 3,000 thousand barrels per day (9 ≤ t ≤ 13) According to the model, approximately when were oil imports to the country greatest? t = How many barrels per day were imported at that time? thousand barrels

Q: Let f be defined as follows. x² - 2x y = f(x) = x² (a) Find the average rate of change of y with…

A:

Q: A) (3) √3-249 dx = x²+9 A) Z 一4 B) 플 PRIM D) Diverges

A:

Q: Find a parametrization of the tangent line to r(t) = (ln(t))i +t-¹¹j + 8tk at the point t = 1. (Use…

A:

Q: 3 For the function f(x) = 11x³²_x, make a table of slopes of secant lines and make a confiture about…

A: The function is given as f(x)=11x3-x.The slope of the secent line from point x=a to x=b is given by

Q: • find the equation of the tangent live T(x), to the graph of the giller fenction at the indecated…

A: y= 2√x +1We have to find equation of tangent line at point (4,5)

Q: cot² x + cotx = 0

A:

Q: Market Equilibrium The weekly demand and supply functions for Sportsman 5 x 7 tents are given by p =…

A:

Q: Hey! I have to diferenciate the function f(x)=2^70. Thus find f’(x), thank you

A:

Q: 4. The marginal cost function for a particular product is given by C'(x)=√ If the overhead cost is…

A: Integrate marginal cost function to find the total cost function.Use the formula

Q: Inflection points for y=tanx

A:

Q: Let h be the function defined by the equation below. h(x) = x³ − x² + x +9 - Find the following.…

A:

Q: Line has equation t= = (3i − j + 4k) + 2(−2i +j+2k) where is a scalar. Line 2 has equation r =…

A: solution are given below

Q: b) Curve K has equation y = x2 F i) Use the Quotient Rule to find dy You do not need to simplify…

A:

Q: 1. Find the limits. Show your steps. (a) lim x48 2x³ + x + 1 6x³+1 2t (b) lim tx 3 + 1

A: For solving the given problem:

Q: Graph the given equation. y = 5x − 4

A:

Q: The symbol w is used for distributed loads. What are the units for w? force/length (for example…

A:

Q: Let r(t) = (14, 15) g(t) = sin(31) Evaluate the derivative using the Chain Rule. (Use symbolic…

A:

Q: Consider the function f(x), whose graph is composed of two intersecting line segments shown below:…

A:

Q: Figure 2 Figure 2 shows the curve y = 3x² - 12x which meets the x- axis at the origin and at (4,0).…

A: NOTE: Refresh your page if you can't see any equations..The area is bounded by the curves:Therefore…

Q: Given that A = 2 3 -2 and B = 3 -4 +] evaluate A² - 2B.

A:

Q: The table below shows the values of ex given to 4 significant figures wh appropriate. 0 1 0.25 1.649…

A: Use the trapezium rule with 4 intervals to find an approximate value of

Q: Find the Jacobian. a(x,y,z) = a(s,t,u) d(x,y,z) a(s,t,u)' where x = s - 3t+u,y=s+t − 5u, z = s + 3t…

A:

Q: b) Functions g(x) and h(x) are defined as follows: g(x) = ln(x + 1) (x > 0) h(x) =** + ? (-∞0 < x <…

A: Note:- According to the company policy we can attempt only three subparts a question so please…

Q: 21. j tan x sec'x dx 23. tan²x dx 25. tanx secx dx 27. ftan'x sec x dx 29. tan'x secox dx 31. tan³x…

A: 25). 31).

Q: Find a parametrization of the tangent line to r(t) = (ln(t))i +t-¹¹j + 8tk at the point t = 1. (Use…

A: Given that ,find the parametrization of the tangent line at the point .

Q: The Taylor series for f(x) = e² at a = -1 is Σcn(x + 1)". n=0 Find the first few coefficients. Co=…

A:

Q: Suppose you're going to sell a certain product, and your marketing team has determined that the…

A:

Q: 4 Compute f'(3) for the function f(x)=. x² +5 (using the definition)

A:

Q: (7) A formula for the general term starting with n = 1 of: A) {} B) {} C) (-1)" 3") 472 D) 39 - ) -…

A:

Q: Find the solution of the differential equation r' (t) = (et-6, 2-1, 1) with the initial conditions…

A: r''(t) =&lt;e6t-6, t2-1, 1&gt;r(1)=&lt;0,0,11&gt;r'(1)=&lt;7,0,0&gt;

Q: 55. h(x) = f*cos(1²) di

A:

Q: 4. Find the limits. Show your side work. (a) lim x 2 3 x-3- X - (b) lim cotx HIT+

A:

Q: 26. Find a vector perpendicular to both ☎ = [1, 2, 3] and 5 = [3, 2, -1].

A:

Q: If the definite integral jota dx is first approximated by using two inscribed rectangles of equal…

A:

Q: Given that n=0 H= 1 1-x Identify its interval of convergence. The series is convergent from to = Σa"…

A:

Q: b) The area under the curve y = 1+ through 360° about the x- axis. Find the exact volume formed,…

A:

Q: A rock is dropped off the edge of a cliff and its distances (in feet) from the top of the cliff…

A: S(t)= 16t2Where S(t)= distance from top of cliff at time t(in seconds)

Q: The base of a three-dimensional figure is bound by the line y = -x² + 4 on the interval [-1, 1].…

A: Here we have given a function  on the interval of .And a graph as given below:Now, let the area of…

Q: Use cylindrical coordinates to calculate SſSw f(x, y, z) dV for the given function and region: f(x,…

A:

Q: If the tangent and the normal to a rectangular hyperbola cut off intercepts x₁ and x2 on one axis…

A:

Q: L₁ = 10logio where L, is the magnitude of sound intensity (decibels), and is the reference intensity…

A: The magnitude of sound intensity is given byWhere  is the reference intensity.To determine: The…

Q: Consider the position function s(t) = -4.9t² +33t+20. Comple average velocities and then make a…

A:

Q: In how many ways can an investor select four mutual funds for his investment portfolio from a…

A:

Q: 6. Local farmers nurture a plant which grows at the rate of = 1.8t+4 (where t is the time in years…

A:

Q: Problem 7. Evaluate fffwf(x, y, z) dV for the function f and region W spec- ified: f(x,y,z) =…

A:

Q: What is the exact value of (57) ₂ 12 tan

A: To find the exact value of .

Q: Graph the function y=4sin 2 x-1 amplitude period phase shift vertical displacement range -TT/2 -10-…

A:

Q: find the derivate a. * or b ㅋ

A:

Q: Use the table below to find X f'(x) g'(x) 1 2 2 5 1 23 3 d dx 345 [3g(x) + 5x] 3 4 1 4 4 5 3 2 |x=1

A: To find:-Tablex12345f'(x)25413g'(x)31542

Q: Io L=10log 10 where L, is the magnitude of sound intensity (decibels), and is the reference…

A: The magnitude of sound intensity in decibels is given as Where  is the reference intensity, which is…