Find a parametrization, using cos(t) and sin(t), of the following curve: The intersection of the plane y = 3 with the sphere x² + y² + ² = 58 r(t) = (¹00

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Q: 1. The chart below shows the current speed of the Colorado River taken at different times throughout…

A: We have to find the average acceleration form the above table given.

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Q: Locate all the critical points of f(x) = (x+5)*(3-x)³. 1. x = -3, -5, 2. x = 3, 5, 3. x = 3, 5, 317…

A: Derivative

Q: 2 Given Cost and Revenue functions C(q) =q³ - 8q² +55q+5000 and R(q) = -3q² +2400q, what costs…

A: Given: Cost function  C(q)=q3-8q2+55q+5000 Revenue function: R(q)=-3q2+2400q To find: The costs…

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Q: Consider the line which passes through the point P(5,-4, 2), and which is parallel to the line x = 1…

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Q: Find the linearization L(x,y) of the function f(x,y) = 3x - 6y + 9 at the points (0,0) and (1,1).…

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Q: cos xdx sin³ 3 X S

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Q: Find the scalar equation of the plane containing the line: l1: [x, y, z] 1₂: [x, y, z] - [2, 6, -1]+…

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Q: The height (feet) of an object moving vertically is given by s= - 16t+48t + 36, where t is in…

A: Given height function s = -16t2 + 48t + 36

Q: An analyst find the data that the cost of 10 heaters is $ 2900 while the cost of 15 heaters is $…

A: Please see the below picture for detailed solution.

Q: Find the tangent plane to the equation z = − 2x² + y² - 5y at the point (4,5,-32) z = Question Help:…

A: Given z = -2x2 + y2 - 5ypoint → ( 4 , 5 , -32 )

Q: Let f (x)  =  { 8x x  ≤  12 −4x + 144 x  >  12 Evalute  36 ∫ 0f (x) dx.

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Q: Ted makes a chart to help him analyze the continuous function y = f(x): y ょく-l + z=-1 2 0 -12 y 1 -2…

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Q: Find the nominal interest rate that yields an effective interest rate of 7%/year compounded…

A: ⇒i0=1+rnn-1⇒i0=Effective annual interest rate ⇒r=nominal interest rate per year⇒n=number of interest…

Q: 1. The chart below shows the current speed of the Colorado River taken at different times throughout…

A: Here we  find the average acceleration form the above given table.

Q: Determine h (x²) for the following function. h(x) = 4x x² - 4x + 5

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Q: Resource Allocation You manage an ice cream factory that makes two flavors: Creamy Vanilla and…

A: NOTE: Refresh your page if you can't see any equations. . x=number of quarts of creamy vanilla…

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Q: π 6x Find the linearization L(x,y) of the function f(x,y) = eº cos (7y) at the points (0,0) and 0,-…

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Q: Differentiate. Please use positive fractional exponents of lowest terms rather than decimals in your…

A: y=9t-4t9+5t9d dt(tn)=ntn-1

Q: K Assume that C(x) is in dollars and x is the number of units produced and sold. For the total-cost…

A: △C=C(x+∆x)-C(x)△C=C(90+1)-C(90)△C=C(91)-C(90)   for x = 90 for x = 91 △C=C(91)-C(90)=167.41 -…

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Q: Solve the boundary-value y(x) = problem. y" + 18y' + 81y = 0 y(0) = 0 y(1) = 8

A: given  y''+18y'+81y=0given  y(0)=0y(1)=8

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Q: Obtain the particular solution satisfying the initial conditions indicated. 2. (t² − x)dt – tdx = 0;…

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Q: A hemispherical tank has a radius of 5 ft. Given that the water weighs is 62.5lb/ft³, find the work…

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Q: Obtain the general solution of the following differential equations. 5. xydx-(x+3y²)dy = 0 Ans.…

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Q: The range of a cosecant function is (-∞, -9][5,00). The equations of two consecutive asymptotes of…

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Q: The function below represents the number of people who have a rumor tt hours after it has started.…

A: NOTE: As per our guidelines we are supposed to answer first 3 sub-parts only. Kindly re-post other…

Q: Let f(x) = 2x². a) Find the linearization L(x) of f at a = 4. b) Use the linearization to…

A: Let fx=2x2 (a) To find the linearization Lx of f at a=4. (b) By using linearization to approximate…

Q: For the following function, a) give the coordinates of any critical points and classify each point…

A: As per the bartleby guidelines for question having multiple subpart question expert must have answer…

Q: ƒ (x) = (x8 – 2x) g(x) = (x² + 6x h(x) = 2x - 11 m(x) = f(x) g(x) n (x) g(x) h(x) m' (-1) = n' (6)=…

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Q: The length of a rectangle is increasing at a rate of 3 cm/s and its width is increasing at a rate of…

A: please see the below picture for detailed solution.

Q: A simplex matrix is given. 1 10 X = 01 y = 4 5 7 12 12 0 9 0 14 00 The solution is complete, so…

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Q: Find the Laplace transform Y(s) = L{y} of the solution of the given initial value problem. y" + gy…

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Q: 1 Evaluate the ・20 @ following Integrals do B I 0 (3+2600)

A: Note:- Since you asked multiple questions, according to our policy we can solve only first question…

Q: Let f(x) = 4x² + 13x - 3. ƒ(x + h) − f (x) Using the definition of derivative, f'(x) =lim h→0 h…

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Q: Given the function f(x)=x²-2, completo parts a through c (a) Find an equation for roo (b) Graph fand…

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Q: The 4-ft wall shown here stands 20 ft from the building. Find the length of the shortest straight…

A: Using similarity of triangle:Length of the building4=x+20xLength of building=4(x+20)xTherefore using…