- Find the area of a triangle PQR, where P = (1, - 2, 3), Q = (1, — 4, 1), an R = (1, 6, 0)

Q: Find any points of inflection and discuss the concavity of the graph of the function.

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Q: α. Σ=of (2k) b.Σ=2f()_c.Σ=19(f(k)).

A: we need to evaluate the sum."Note that as per the rules, we are supposed to answer the first three…

Q: The marginal cost producing the (x + 1)st, or next item. at a given production level æ approximates…

A: Need to put the correct word in the blank for the question number 3.

Q: Sketch a graph of f.

A: graph the given function

Q: Find the Maclaurian series for the function f(x) = e Select one: O a. O b. O C. O d. e = + 110 = e…

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Q: Find the length of the curve. L = r (t) = 9ti + 12t j + 9t²k, 0 ≤ t ≤ 3

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Q: Solve by using u-sub  Find integral  3X/X+4 DX

A: The given integral

Q: Completes parts A-C below: A. Find the marginal revenue function.      R(x)=x(150.09x)      R'(x) =…

A: Given thatA. we need to find the marginal revenue function.  B. We need to find the marginal revenue…

Q: Determine the line of intersection of the two planes: x+y-z-2=0 and 2x-y+3z-1=0. Write the…

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Q: Find a first-degree polynomial function P₁ whose value and slope agree with the value and slope of…

A: The given function .The objective is to find the first-degree polynomial whose value and slope…

Q: a) How many feet did you walk in 8 minutes? b) Where, relative to your starting location, are you…

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Q: -example 2- Prove the limit using the epsilon-delta definition of limit. lim(2x+3)= 13 x-5

A: The limit of f(x) at x=c equals L if, for any ε>0, there's a δ>0 ensuring that when the…

Q: Give the derivative of the function y = 3r²-2r-11.

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Q: h(x) P X 1 2x

A: we are given a function and we need to find out where it is concave up and concave down.

Q: 5. dy dt 2t 1 + t2 Y = 3

A: we need to find out the solution of the differential equation.

Q: a 2 (x-1)² + (y +3) ² = 16 Make a graph, Use at least 4 points 7 Report domain and range. 2 Solve…

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Q: 2. y" - 3y - 10y = 2x -3

A: We need to find general solution.NOTE- As per Bartleby guidelines we can solve one question from…

Q: The Bessel equation of order one-half, ty" - ty' + (²-2)y nonhomogeneous equation below. t²y +ty² +…

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Q: Evaluater(g(t)) using the Chain Rule: r(t) = (e¹, e⁹, -6), g(t) = 2t+3 eºt, år(g(t)) =

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Q: If f(x) = 3 + - LO 5 5 2 12 3 Find f'(3). x 5 6 + X 22 find f'(x).

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Q: write me an equation for a graph that is defined at x=-2 has a limit at x=-2 but is not continuous…

A: The objective of the question is to find an equation of a function that is defined at x=-2, has a…

Q: (7) Lim x= 1/2 X- X COS X TT- 2X

A: Since you have posted multiple questions and we will provide the solution only to the first question…

Q: The percent concentration y of a certain drug in the bloodstream at any time t (in hours) is given…

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Q: Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures…

A: Let a terminal point is denoted by ( x , y ) Then we can measure the terminal angle as follows

Q: Apply the chain rule, in Leibniz notation, to determine dy dx at the indicated value of x. y = 4u(3…

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Q: 3) What does the matrix (_co cos (0) – sin (0) sin (0) cos (0) represent?

A: I have provided a detailed answer in the Explanation section.Explanation:The matrix[cos(θ)…

Q: Use the substitution t = tan rπ/2 X to transform the integrand into a rational function of t and…

A: By using the substitution  to transform the integrand into a rational function of t and then to…

Q: Find if x(8) = 9x5 + 6yª. dy dx

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Q: Find the first partial derivatives of 2х — у f(x, y) = 2x + у of Әх -(3,4) = of -(3,4) = ду at the…

A: To find the first partial derivatives of

Q: A graph is given. Tell where f(x) is concave up, where it is concave down, and where it has points…

A: The graph of a function is :Concept:If f is twice differentiable on an interval, the graph of f is…

Q: (1) | a 1 x3 + bºx dx

A: Given:indefinite integral To find:Evaluate the integral

Q: If 3y² + x² = −3 − 3x then find dy in terms of x and y. modta If 4x² + 2 = 3y - 5y² then find in…

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Q: Sketch a graph of f(x) 5 4 3 2 1 -5 -4 -3 -2 -1 Clear All Draw: = -1 -2 -3 -4 -5+ 1 -|x4| - 1 2 1 2…

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

Q: a. The region bounded by y = 2x, the x-axis, the line x = 1, and x = 3. A(x) = f₁³ 2xdx b. The…

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Q: 8 4x³ 5 8C dx

A: The given integral

Q: .S X + 1 x – 5x + 2 2 dx =

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Q: Find the limit, if it exists, or type N if it does not exist. 5zex² + y² lim (x,y,z)→(1,3,2) x² +…

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Q: Find if the series converges or diverges.

A: Given series is the diverges.Explanation:Let here n=x, so the function becomes:1/ (x1/2 ln x)to…

Q: Find a first-degree polynomial function P₁ whose value and slope agree with the value and slope of…

A: The given function .The objective is to find the polynomial function  whose value and slope agree…

Q: Let à = (-5, - 2, 4) and b = (-1,5, 3). Find a x b. (Enter your answer as a vector of the form .)…

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Q: b. What is the midline for f? y= c. What is the amplitude of f? Preview Preview d. Write a function…

A: To find midline , amplitude , equation of given function

Q: 2. Find the area bounded by the given regions. (Round to two decimal places) a) y =lnx and y=x²-4x+3…

A: a) Area 2.93 square unitsb) Area 36.00 square unitsExplanation:Find the Area Between the Curvesa)…

Q: Determine the convergence or divergence of the series.

A: Please refer the attached solutionExplanation:Solution: Please feel free to ask any clarifications…

Q: IT cotdx

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Q: Instructions can be found in the image attached

A: (a).  f(x)=x100g(x)=(x+3)  (b).  f(x)=x1​g(x)=x3−1     Explanation:

Q: Approximate cos COS 10 c a = || 2π 1/2 by using a linear approximation with f (x) = cos x. (257) ≈…

A: The Linear approximation of a function f(x) at x=b is given by, where x=a is some fixed value near…

Q: 28 Mr. Durham bought 160 fluid ounces of plant food for his garden. He used 1 cup of plant food to…

A: Mr. Durham bought 160 fluid ounces of plant food for his garden. He used 1 cup of plant food to…

Q: Q/ Find the Integral of the following: 1- fx sin x dx 2- ((1+tan²x) dx 3- [cos 2x dx

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Q: velocity (ft/min) It I 9 time (minutes)

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Q: R(s, t) = G(u(s, t), v(s, t)), where G, u, and vare differentiable, and the following applies. v(7,…

A: Given that