Consider the function f(x) = 2 +² + 3x at (0, 2) we have: -slope:5 - equation of the tangent line at the point: 5x+2 Find an equation of the normal line at the point.

Q: Question 16 ( Find the slope of this line. Part 2- Full solution problems. A line with positive…

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Q: Given f(x, y) = 2x² + 6xy³ + 4y5, find the following numerical values: f(3, 3) = 4. f₂(3, 3) =

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A: We draw the graph of the function and find the total area by integrating

Q: [3-R] [CLO 14] Is the following set a function? Briefly justify your answer. M

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Q: 3. a) Find the limit of the sequence an = (2n²+3)(n-1) n(n² + 1)

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 4. Point of Diminishing Returns Assume that an advertising campaign is launched for a new product…

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Q: Q18 Given s = 3a²c-2bc + 5abc² (a) (b) da dc || ||

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Q: > Let f(x) be the function shown in the graph below. Click on the graph to enlarge it. Determine the…

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Q: Find the centroid (x, y) of the region bounded by the two curves y = 6√ and y = 3 x = TU

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Q: In evaluating 2₁3² (x³ − 1) dx, we make the substitution u O O x³-1 dx (x³ − 1) 3x²

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Q: Expand the quotient by partial fractions. x² +5 X x2 - 5x + 6 2 x² +5 2 x -5x+6 (Simplify your…

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Q: Let f(x) = 4x² - 2x4. Find the open intervals on which f is increasing (decreasing). Then determine…

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Q: 4.4. Solve the equation ff(x) dx = sin x - 2 tan x + 7x HELP: Treat ff(x) dx as a variable and use…

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Q: Evaluate the integral. 2 √√Z T ||||** SS (² cos ²0+z²)r de dr dz 000 2 √Z T S SS (² cos ²0 +2²)r de…

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Q: Find the derivate of the functions: a) f(x) = -3x²³ -4 sxt9 · f'(x) = (6) g (v) = 3 2√² +5V-9 g' (v)…

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Q: 16 cos 6nt dt = [

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Q: Given (y)-16-²-², use the total differential to approximate or at (4.1) towards (24,1.05). Round…

A: △x=2.4-4=-1.6△y=1.05-1=0.05

Q: Find the derivative of the following function: f(x) = ³√x² -2 (a) f'(x) = 3 1/ (b) ƒ'(x) = 3³7x²…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Let f(x, y) = √/175-4x² − 3y² - Evaluate f(1, 3) Question Help: Video Calculator Submit Question

A: The given equation is;  f(x,y)=sqrt(175-4x2-3y2) .

Q: Differentiate. h'(0) = h(0) = 0² sin(0)

A: Derivative

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A: We need to find out the elasticity, elasticity at p=93 and also the value of p at which revenue is…

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A: f(x) = 250 We need to find f'(x)

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Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

A: We have to find the monotone intervals and relative extremas.

Q: A vector with magnitude 4 points in a direction 340 degrees counterclockwise from the positive x…

A: let vector =V given  magnitude=V=4and direction=θ=340°now Vector V=<x,y>=?…

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Q: Assume that x and y are differentiable functions of t. For the following, find dx/dt given that x =…

A: given  x2+y2=136d dx(xn)=nxn-1d dx(constant)=0

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A: Given graph:-

Q: Hello, how did you find 0 and -1 to be the values of r and t? Also where do you plug the numbers…

A: Determine the X intercept of the plane [x, y, z]= [3, 1, 3]+ r[1, 1, -1]+ t[0, 1, 3]

Q: Find parametric equations of the line that contains the point P(3, 1,-2) and intersects the line L:…

A: The solution is shown below-

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A: We are asked to find the  elasticity of demand

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A: Given : Find the future value of the following ordinary annuity. Payments are made and interest is…

Q: (a) Find the derivative of r(t) = (4 + t)i + tej + sin(5t) k. (b) Find the unit tangent vector at…

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Q: If is differentiable, then the function. e + f(x) √√3 is differentiable.

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Q: A solid is contructed so that one side is the region between the lines x = a, x=b, the graph of y =…

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Q: Suppose that f(x, y) = z²y. The directional derivative of f(x, y) in the directional (-1,-2) and at…

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Q: (X5)O+=(x) f (

A: According to bartleby guidelines we supposed to do the first one of multiple questions  kindly…

Q: Q15 Find all non-zero derivatives of the following function: f(x) = 5x³ - 7x² + 9x - 1

A: Here we differentiate f(x) with respect to x until it becomes a constant

Q: Solve the problem. 2) Given the total-revenue function R(x) = 7600x, and the total-cost function…

A: Given:- Revenue function Rx=7600xCost function Cx=x3-2x2+5x+100

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Q: P'(W): = P(w) = 6w² - 2w + 4 VW

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Q: You are designing a rectangular poster to contain 32 in² of printing with a 2-in margin at the top…

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Q: 2. Optimization problem The average cost per unit when producing x units of a commodity is given by…

A: Solved below

Q: Let a = - 2ỉ - 4j – k and b = 4j + 2k. Find — ả + b. V

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Q: (a) Find the derivative. y = In(4x - dy dx (b) Find the derivative. y = ln ( 4x = dy dx 6) - 3 In(x)…

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