Compute T₂(x) at x = 0.5 for y = e² and use a calculator to compute the error |eª — T₂(x)| at x = 1.2. T₂(x) = |e² - T₂(x) =

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Q: Find the area of the shaded region. f(x)=x²-8x³ +21x², g(x)= -14x+136 (-2,16

A: Here we have to find the area of the shaded region,  f(x)=x4-8x3+21x2, g(x)=-14x+136

Q: The matrix A can be factored as A = PDP-¹ where D -1 If x=4 [1] Ax = +6 5 - 2 [-1²-0₁] an then find…

A: Given that , A=PDP-1 where D=-200-4 , P=-7511-8 and x=4-711+65-8 find Ax without computing A.

Q: 4, f(t) = { + ² + 2₁ 2, 0 ≤t 2

A: Given function:- ft=40≤t<2t+2t≥2

Q: Find the area between f(x) = sin x and g(x) = = cos x on the interval [0, π/2].

A: Find the area between f(x)= sinx and g(x)= cosx on the interval [0,2π].     Here i attached the…

Q: 6. Solve the following Euler's equations: (a) x²y" +5xy' + 4y = 0 (b) x²y" - xy + 3y = 0

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Q: 16) Find the inverse of f(x) = 3x²-5.

A: The given function is f(x)=3x2-5 We have to find the inverse of the function.

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A: To determine the critical points and classify them as maxima or minima

Q: Consider the function f(x) Let F(x) be the antiderivative Then F(x) 6 x² of f(x) with F(1) = 0. ||||…

A: Solve the following

Q: 5. ydx = (2y² + x)dy

A: As per Bartley guidelines we are supposed to answer only one question per post. Hence answering only…

Q: Find one path to move the following triangle ABC onto its image triangle A’B’C’ below. In narrative…

A: Given: (

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Q: cos(sin^-1u-cos^-1v) Write as an algebraic expression of u and v

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Q: Diminishing Returns Jesaki Inc estimates that it will sell N(x) units of product after spending $x…

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Q: eliminate the arbitrary constant of   y = Ae^Bx+C

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Q: Let f(x) = −x¹ − 5x³ + 4x + 1. Find the open intervals on which f is concave up (down). Then…

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: NOTE: Refresh your page if you can't see any equations. . the revenue and cost functions are

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of I f(x) = [*²₂ √t²³ +4³dt…

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Q: 17. Which of the following substitutions is best for the integral [ best for the integral + 25 dz dx…

A: Solve the following

Q: Q1/Solve by Gaussian elimination method 2x+3y=2

A: To solve the following system of equations by using the Gaussian elimination…

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Q: 14) The half-life of carbon-324 is 700 years. I have 400 grams of carbon-324 right now. How much…

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Q: Car 1 is heading due south from Math-town at a rate of 40 miles per hour. Car 2 is heading due west…

A: One car moves south and the other car west. The angle between southand west is π2.

Q: Write the arithmetic sequence −19,−10,−1,8,... in the standard form

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Q: For the function below, approximate the area under the curve on the specified interval as directed.…

A: We can find area.

Q: plify the following expression using laws of set theory (AUB)U(AUB)

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Q: ticle's velocity and acceleration vectors at time t = 0. & gives the position of a particle in space…

A: given equation is  r(t)=6(1+t)32i+6(1-t)32j+9tknow r'(t)=6ddt1+t32i+6ddt1-t32j+9ddttk…

Q: A yeast culture is growing at a rate of W' (t) = 0.3e0.11 grams per hour. Find the area between the…

A: A yeast culture is growing at a rate of W't=0.3e0.11t grams per hour. To find the area between the…

Q: For y=f(x)=9x3​, x=4​, and Δx=0.08 find   ​a) Δy for the given x and Δx ​values, ​b) dy=f ′(x)dx​,…

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Q: Find the total area of the shaded regions. y=x149+x² 35+ 28- 21- 14- -10-8-6-4-2 14- 21- 28- -35- y…

A: To find the total area of the shaded regions.

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: The number of virus cells increases by 37% each day. What is the common​ ratio?

A: Please see the below answer.

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of F(x) = sin(t¹)dt F'(x) =

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Q: t[ ( j ) ( f 3 sin Ꮎ cos2/3 Ꮎ dᎾ

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Q: Given that Q(x) = (x − 4)²(x² + 1)²(x² – 16)4, Q(x) has: (a) 1 (b) 2 (c) 0 (d) 2 single irreducible…

A: Given function, Q(x)=(x-4)²(x²+1)²(x²-16)⁴=(x-4)⁶(x²+1)²(x+4)⁴

Q: A spherical snowball is melting. Find the approximate change in volume if the radius decreases from…

A: Volume

Q: Find the equation of the plane  containing points P1: (1,1,1),  P2: (1,2,3) , and  P3:  (3,-1,5).

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Q: (2) Σ n=1 (b) Σ n=0 (0) Σ n=1 (3x - 2)² η 3ηχη n! 3.5.7....(2n+1)+1 η2 . 2η

A: Find the radius of convergence and interval of convergence of the series.

Q: ao= a₁ = a2= a3 = 9. 9- a4 = (c) The answer in part (a) equals the sum of the infinite series in…

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Q: Given the graph f(x) = e² + 7 a) Identify the horizontal aymptote. 1. y 2. Y = 7 = = (part 1 of 2) 1…

A: y=a is said to be a horizontal asymptote of a graph y=f(x) iff y tends to a as x tends to ∞ or -∞…

Q: Blood Pressure and Age A research group developed the following mathematical model relating systolic…

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Q: Find the Malclaurin Series for the function f(x)=sin(2x) write in summation form.

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Q: Calculate the arc length of y = 3x + 1 as a varies from 0 to 1. S=

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Q: 0.3 Suppose the average daily metabolic rate for certain types of animals can be expressed as a…

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