Find the velocity and acceleration vectors in terms of u, and u. r = a cos 20 and =u₁ + u₁ + V= a = ᏧᎾ dt ue 6t, where a is a constant u up

Q: Suppose the production level is 982 car seats.  Compute the instantaneous rate of change of revenue…

A: The objective of this question is to find the instantaneous rate of change of revenue at a…

Q: The angle between 0 and 2π in radians that is coterminal 55 with the angle 8 -π in radians is

A: Coterminal angles: are angles in standard position (angles with the initial side on the positive…

Q: What is the derivative of f(x) = x at the point x = 4? Select the correct answer below: O 4√2 20√/2…

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Q: FA 2. F(x) H Analysis X-intercept (s): y-intercept: domain: range: vertical asy's: horizontal asy.…

A: The given function is

Q: The previous exercise asked you to find a formula for R(x), where its derivative is 100e*+5 (1 +…

A: The given derivative function is .The aim is to find the principle antiderivative of .Formulas used:

Q: Differential equation: dr/dt=((6t^2)-3)i-j+1/(1+t)^1/2 Initial condition: r(0)=-4i+8j+7k

A: The objective of the question is to solve the given differential equation with the given initial…

Q: Use the revenue function above to answer this question. Find the average rate of change in revenue…

A: The objective of this question is to find the average rate of change in revenue when the production…

Q: Little algebra fun: a³ + b³ (sum of cubes) and a³ - 6³ (difference of cubes) can be factorized using…

A: Question No. (4): (a) By using the appropriate factorization formula, to derive the conjugateof . To…

Q: The region bounded by the curves y = √x, y = x² is rotated about y = 3. Find the volume of the solid…

A: Region bounded by the curves:- , y=x2at y=3

Q: Find the derivative of the vector function r(t) = ta x (b +tc), where a = (-5, -1, -1), b = (-2, -4,…

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Q: Explain the meaning of lim r(x) = L. x→a* As approaches from the values of approach ....

A: Given value of limit is,

Q: m Determine for which values of m the function (x)=x™ is a solution to the given equation. 16/0 (a)…

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Q: Write the logarithm as a sum or difference of logarithms. Simplify each term as much as possible.…

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Q: Represent the line segment from P to Q by a vector-valued function. P(-6, -2, -1), Q(-1,-9, -9) r(t)…

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Q: Car Sharing Yaster Car Sharing offers a membership plan with a $49 per month fee that includes 12…

A: The objective of the question is to find the value of 'b' in the piecewise function F(x) = mx + b,…

Q: Find 9 JBS if [3f (x) - g (x)] dx = i 9 9 frode = 2 and 1200dx = 50 [80 (x) dx g (x)

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Q: Use a definite integral to find the area of the region, and check your answer using an appropriate…

A: To determine the area under curvef(x)=x+7

Q: If r(t) = cos(-5t)i computer' (t) = + sin(−5t)j + Ok i+i+ k k+C and fr(t) dt = with C a constant…

A: we are given a vector function and we need to compute its derivative and integration.

Q: The function C(t)=C0(1+r)^t models the rise in the cost of a product that has a cost of C0 today,…

A: The Present cost of boat is The Average inflation rate is  for 2 yearsTherefore, we have to find the…

Q: The line of intersection of the planes x+y+ 2 = 0 and x - y = 0 is Or(t) = (t, t, 1 - 2t) OF(t) =…

A: x+y+z=0x-y=0

Q: Use the graph of f(x) = X + 2x - x-8) to determine lim f(x) and lim f(x). X→-4 X-2

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

A: Explanation of the ans is as follows

Q: Problem 92. Construct the formula for r = f'(x) if f(x)=√√√x+√x+√x.

A: The Power Rule:The Chain Rule:

Q: Find the area bounded by y (Answer exact) x-13 x² - 6x-27 x= 6, z=7, and y = 0.

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Q: Complete the missing spaces in the box for x Clear Undo Redo 3 z³+5x²+2x–8 2-1

A: Setup the Table: Draw a table with enough rows to accommodate the dividend polynomial and one…

Q: At a particular location, f(p) is the number of gallons of gas sold when the price is p dollars per…

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Q: 2. Consider the graph of the function y = f(x) below and answer the following questions. You do not…

A: The function f(x) is continuous at  when The removable discontinuity at Left continuous at

Q: What’s greater 20% or 0.02

A: Given statement "What’s greateror ?"

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: 1. Sketch one cycle of the following trigonometric equation, y = −2 sin(3x – 180°) + 1.

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Q: Predict the residential retail sale of electricity in 2021.  Round to the nearest billion of…

A: The objective of this question is to predict the residential retail sale of electricity in 2021…

Q: Find all the values of x * in the interval [ – 5, 0] that satisfy the equation b js a f(x)dx = f(x *…

A: To find all values of  in the interval  that satisfy the equation in the Mean-Value Theorem for…

Q: dy dx a- 2e2y = ln x² b- y = (lnx+x)tanx d- y = ln xex 4) Find

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Q: Given that lim f(x) = 0 x→a (a) lim lim g(x) = 0 x→a lim_h(x) = 1 x→a lim p(x) = ∞o x→a lim g(x) =…

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Q: Use spherical coordinates to evaluate JS = E where E lies between spheres x² + y² + z² = 1 and x² +…

A: given integration  where E lies between spheres x² + y²+ z² = 1 and x² + y²+ z² = 4 in the first…

Q: Solve the initial-value problem for y as a function of x. (4-2²) d = 1, y(0) = = 8 S

A: Given DE:To find:solution of the initial value problem The integration formula-

Q: (2) 3 f(x) = 1 g(x) = 6x 2x³-18x Ⓒ g(x) == 4 5 h(x)=(√2-47) 5 (X²-4) VA Holes HA/SA Y-intercept…

A: Question No. (2):Given: To Find: To determine .To draw the graph of the above function.Note: Since,…

Q: Find the following. If no value exists, enter DNE. lim z→0 lim z→0+ lim 2-0 f(x) = f(x) = f(x) =…

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Q: If h(x) = √√4 + 3fƒ(x), where ƒ(1) = 7 and ƒ'(1) = 4, find h'(1).

A: Given function

Q: Which substitution should be used to solve da +y = //

A: Given,

Q: The function g is related to one of the parent functions described in an earlier section. g(x) =…

A: The objective of the question is to identify the parent function of g(x) = -sqrt(x+2) -1, describe…

Q: Give an example of: (a) Integral(s) that calculates the total area between: x=c-1 and two curves y =…

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Q: Volume Discount Jester Apparel sells custom promotional shirts. The table below shows the volume…

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Q: Find the area of the region described. 2|5 The region in the first quadrant bounded by y=x³ and y=2…

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Q: 2 Find the area bounded by y= z = 0, y= 0, z = 1. 16-42² Round to four decimal places. This does not…

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Q: Find the volume of the solid generated by revolving the specified region about the given line. R₁…

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Q: Help find at which values of x labeled in the image attached is the point (x, f (x)) an inflection…

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Q: If a colony of bacteria starts with 1 bacterium and doubles in number every 20 minutes, how many…

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Q: Problem 131. Consider the function defined by the formula below. Is this function differentiable at…

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Q: f(x)=√√x+7-2, [0,5], f(c) = 1

A: To verify the Intermediate Value Theorem (IVT) for the given function  over the interval [0,5] with…