Find the linearization of the function f (x) = x6 at x = 1 L(x) = 囡囡 Using this linearlization, f (1.05).is approximately Number

Q: Determine the length of the curve Cost 10204 TI 4 4

A: To determine the arc length of the polar curve

Q: 41-46 Evaluate the integral by 41. -2 (10 - 5x) dx

A: As per the rules we are supposed to answer the first question and rest others can be reposted.

Q: cos [Arc sin (-1)]

A: We can evaluate the answer in the below steps.

Q: Known Information: d(A, B)2 = 145   d(A, C)2 + d(B, C)2 = 145 Question: Find the area of the…

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Q: Let 3 [* f(x) dx = −14, [₁ f(x) dx = −7, ²9(2) dx = 13, g(x) Use these values to evaluate the given…

A: Due to Bartleby guidelines, only 3 sub parts can be solved. Please repost the remaining questions to…

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = xy + yz + zx,…

A: Given fx,y,z=xy+yz+zx and A=2i+6j-3k P01,-1,3

Q: Determine whether the infinite geometric series is convergent or divergent. If it is convergent,…

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Q: Calculate the derivative of the following function. y=f(g(4x)), where f and g are differentiable for…

A: Using chain rule of differentiation

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z)=4e* cos (yz), Po(0,0,0),…

A: find gradient

Q: Draw a sketch of the region d. Find the area of the region e. Find the volume of the solid generated…

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Q: Consider the function f(x) = 6√√x + 1 on the interval [2, 9]. Find the average or mean slope of the…

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Q: Use a Table of Integrals to evaluate the 3x integral. sin 5xdx

A: Topic:- application of integration

Q: Find the area of the region bounded by the curves x = 2y ^ 2 and x = 4 + y ^ 2 Be sure to justify…

A: We have to find the area enclosed by the curves using integration.

Q: The Maclaurin series of the function f(x) = 5x² sin(10x) can be written as f(x) = Σ n=0 where a few…

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Q: Confirm that the below limit meets the conditions to apply l'Hôpital's Rule and then solve the…

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Q: a) log₂ (x + 5) + log₂ (x + 2) = 2 b) 5(x-2) = 3(3x+1)

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Q: Reversing the Order of Integration In Exercises 33-46, sketch the region of integration and write an…

A: Given that ∫01∫1-x1-x2dydx

Q: nd the divergence and curl of F. ~v(F) = V · F = ■ ■rl(F) = V × F = ( | 00 "

A: given vector field is  F(x,y,z)=<2x2  ,  -9(x+y)2  , -8(x+y+z)2 > now ,…

Q: Find the arc length of the curve x = 1² +1, y = 4t³ +3 on [0, 2].

A: given; x=t2+1, y=4t3+3 on [0,2].

Q: Find d dx (5+2)

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Q: Evaluate the following surface integral: (double integral over a surface )  x dS S is the part of…

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Q: Find • JJS ₁² z dV, where E is the solid tetrahedron with vertices (0,0,0), (1,0,0), (0,2,0), and…

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Q: ind the volume of the solid generated by revolving the region bounded by the lines and curves y=ex,…

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Q: dt, then F'(x) = 0 a) If F(x) = √5 / / di 20 3 b) If F(x) = ² = dt, then F'(x) = c) If F(x) = √²/1/1…

A: Given:   a) Fx=∫20x1tdt      we use common integral ∫1tdt=lnt          =lnt20x          Fx=lnx-ln20…

Q: For the equation given below, evaluate y' at the point (2, -1). e³ + 10 − e−¹ = 2x² + 2y². -

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Q: Find the derivative of the function. esin r In(1+2v)dv CoS z

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Q: ". Is (sin x+cos x)² = sin² x + cos²x an identity? (a) True (b) False

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Q: A bowl of soup at 80° C sits in a 20° C room and cools to 74° C after 1 minute. Using the model for…

A: T( t ) = ( T0 - Ts)ekt + Tswhere T0 = initial temperature Ts = surrounding temperature T( t ) =…

Q: 19) tan [Arcsin ()] 2

A: Solution ⇒     tan⁡(arcsin⁡(32))  =?    First, we will solve  arcsin⁡(32)    We know…

Q: Use the definition of the Taylor series to find the first four nonzero terms of the series for f(x)…

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Q: Explain all the reasons why the integral the integral as an appropriate set of limits. dr x√x² 9 is…

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Q: Given y = t³ - 9t x = t² - 3. A) Find dy/dx, determine all critical numbers. B) Find d^2 y / dx^2 to…

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Q: Given the geometric sequence: 12, 16 Find a6 = 5 64 75 Find an explicit formula for an, where the…

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Q: Write the sum using sigma notation: 1 1 + 1-2 2.3 A = wwww.... B || + 3.4 1 143 144 n=1 B, where

A: Please see the below answer.

Q: If the demand function for math anxiety pills is p= D(x)=√16-2x, determine the consumer surplus at…

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Q: Consider the indefinite integral ². x³ – 9 dx: 3 U This can be transformed into a basic integral by…

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Q: Use the product rule to find the derivative of f(x) = ( − 4x¹⁰ – 2x³) (9eª + 6) Use e^x for e. You…

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Q: Find the derivative of the function at Po in the direction of u. x-y 3xy +2' g(x,y)= Po(-1,1),…

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Q: Solve for the particular solution using method of undetermined coefficient: (D² + 2D + 4) = 8 O Yp =…

A: We need to find out the particular solution of the differential equation by the use of undetermined…

Q: S x² dx 3 (4-x²)2

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Q: Given the series: k Σ³ (²) 3 k=0 does this series converge or diverge? converges O diverges If the…

A: Series converges... Sum of series = 5 For detail...go through the solution...I have solved in detail

Q: Given g(x)= sx2+3x+3, find a value for s so g(x) has a minimum at x=−1x=−1.   s=_____

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Q: [²r(x) dx where 0-{²_, f(x) if -2 ≤ x= 4-x² if 0<x=

A: Topic:- application of integration

Q: Use the Laplace transform to solve the given initial value problems. y" + 4y = g(t), with g(t)=(1…

A: Let's solve given differential equation by using Laplace transform.

Q: When Justine is 10, her grandparents begin placing a continuous stream of $1,500 per year into a…

A: at 10 , initial amount is  $1500  rate is 1.7%formula for continuse compounding is  A=PertA is final…

Q: Let h(x) = tan(2x + 7). Then h' (3) is and h'' (3) is

A: Given query is to find indicated derivative

Q: 5 13' 1 a) sin0== c) tane=- 3 and cos0

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Q: Evaluate the definite integrals using properties of the definite integral and the fact that 3 3 f³s(…

A: A detailed solution is given below.

Q: An investment of $80,000 was made by a business club. The investment was split into three parts and…

A: Given. Total amount =$80000 Interest for 1st,2nd,3rd part is respectively 8%, 6%, 9% We have to find…

Q: For the sequence defined by: a1 = 1 an+1 TODA Find: a₂ a3 a4 ||

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