Use differentials to estimate the relative error in the lateral surface area of a right circular cylinder if the diameter is measured to be 10 in. with a possible error of 0.01 in. and the height is equal to its diameter. O 0.004 O 0.2 O 0.002 O 0.04

Q: Suppose that h = 2x'y, where both x and y are changing with time. At a certain instant when x = 1…

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Q: Given the demand function D(p)=150/p Find the Elasticity of Demand at a price of $38

A: Given, Given the demand function Q=150/p At p=38 Q=150/38 Q=75/19 We know that price Elasticity of…

Q: Write true if the statement is correct and false if the statement is incorrect. = V3x + 2 Given the…

A: As asked we can answer the question true or false with out explanation as below.

Q: . Use L'Hospitalľ's Rule to evaluate lim t In 1+

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Q: Match each of the Maclaurin series with the function it represents. (-1)"22n+1 2n + 1 (-1)",2n (2n)!…

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Q: kindly answer immediately, thankyou for helping out Determine the range f(x)= /3x+2/

A: Given the function fx=3x+2

Q: In a race, Molly starts running from rest at a constant acceleration of 3 m/s. She is running in a…

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Q: The slope of a tangent line at (1, 4) is 2. What is the equation of the line? Select the correct…

A: As asked we can answer the question with out all explanation in the following steps

Q: 2n + 3 2n+3 Let 2 4" and an n=1 an+1 a) Find lim n+ 00| Un 2n+3 b) Determine whether 2 is convergent…

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Q: Find a parametrization of the line in which the planes x+ y +z = - 3 and y +z = 4 intersect. Find…

A: Solution: x+y+z = -3 ..............(1) y+z =4 .............(2)

Q: ppose a compa headsets, the cost and revenue functions (both in dollars) are given by C(x) = 32,000…

A: Profit = revenue - cost Px=130x-0.001x2-32000+60x=-0.001x2+70x-32000

Q: in(2x) – 5 cos(x) = 0 for all solutions 0 < a < 2n .68

A: Please refer to the image below

Q: The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use…

A: As we know the surface area of the cube is; S=6a2                            ...(1) Where 'a' is the…

Q: Find the Taylor expansion of f(x) = (x2 + 7)(7/3) for x near to 1, up to and including the x2 term.

A: Taylor series

Q: An oil tanker aground on a reef is forming a circular oil slick about 0.1 foot thick. If the oil was…

A: We have to find dR/dt .

Q: -At the minimum point the value of second derivative is choices a. imaginary b. negative c. positive…

A: Solution: At the minimum point the value of the second derivative

Q: tangent

A: Please refer to the image below

Q: Use the substitution x = 3 sin t to evaluate the integral f V9 – x² dx. | Note: Use C for an…

A: Given; I=∫9-x2dx   ...1   Use the trigonometric identity; 1). sin2x+cos2x=1 2). cos2x=2cos2x-1 And…

Q: ne hundredth derivative of p (x) (x + x³ + x')1º (1 + x² )11 (x³ + + x Justify ya

A: P(x) = (x+x5+x7 )10(1+x2 )11(x3+x5+x7) Here, (x+x5+x7)10  will have x70 as leading degree. (1+x2)11…

Q: Consider the integral + 2) dr (a) Find the Riemann sum for this integral using right endpoints and n…

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Q: Evaluate the integral [[(3t) i + (9) j+ (5t + 3) k] dt. 1 J[(3*) i + (9) j+ (5t + 3) k] dt = (O i+…

A: We can solve as follows

Q: A. Find the area of the plane region bounded by the given curves 1. y = x, y = 2x, and x + y = 6…

A: Given :   y=x y=2x x+y=6

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. - 14n…

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Q: dx J Vx² – 25

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Q: dt 4. Solve the initial-value problem dx = -2x – 2y dt dy = -2x + y, dt where the initial condition…

A: To find the solution of the given system of differential equations.

Q: V16 – x² dx x2

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Q: 2r 2r If the total volume of the cylinder and square block is 30 cm', express h in terms ofr.

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Q: Suppose that for a company manufacturing bluetooth and wireless headsets, the cost and revenue…

A: Let's find.

Q: blem #1: Differentiatef (x ) = [(4 x4 -5 )(3 x2-9 x - 5 ) ]3 and solve f (2).

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Q: (1+ɛX) dx FA0 V = (1- X)2 kC, AO 0.

A: Given that      V =FA0κCA02∫0X(1+εX)2(1-X)2dX                        let us assume 1-X = t…

Q: f(e) =. Find the Taylor series, centered at c = 5, for the function f(z) 00 Σ f(x) = n-0 The…

A: Solution is given below:

Q: Find and sketch the domain for the function. foxy) = - 25) ( - 4) Find the domain of the function.…

A: function f(x,y)=(x2-25)(y2-4)

Q: Consider f(x) = cos (x) ln(x +2). a. Find the local linear approximation of f(x) at xo = 0. (In 2 z…

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Q: 2. Find the second derivative for the following set of parametric equations. = t° – 4t3 y = t?

A: We have to find the second derivative of the given equation.

Q: Represent the following equation in R² by a vector-valued/parametric equations: 2x² + 2y² – 2x + 2y…

A: The given equation is: 2x2+2y2-2x+2y=7...(1)

Q: i cant seem to understand the answer. could you please retype or send a picture?

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Q: On what instance does the Chain Rule of differentiation applicable? Explain briefly

A: To explain when we should use chain rule.

Q: 4. What is a true error ? A abs (True Value - Approximate Value) B. abs (Present Approximation –…

A: topic- Errors

Q: sin(x²) 1+0- e2r – 2x – 1° Evaluate lim |

A: The objective of the question is evaluate the limit.

Q: Problem #5: In the equation f(x) = e* In(5x)– e*+2 +log(e²x* find f '(3).

A: Given query is to find indicated derivative.

Q: a) Using the definition of derivative, calculate the derivative of the function of f(x) = /3x +1 (b)…

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Q: Lim 3 128 2 J

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Q: 32 RELATED RATES TUTORIAL 32 d0 when the angle is TC radian ? top of the ladder and the wall…

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Q: solve 4cos^2(x)-13cos(x)-12=0 for all solutions 0<=x<2pie

A: We can find the solution as below.

Q: Let R be the finite region enclosed by the curve y = 6x(3 – 2x) and the x-axis. Let V be the volume…

A: See the solution in below

Q: Let f(x) = x - 25. The arc length of the graph of f(x) over the interval [6, 10] is given by the…

A: Topic = Integration

Q: sin 3x cos“ 3xdx

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Q: The area of the finite region enclosed by the curves y = 3x and y 27 - a is given by the definite…

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Q: dy for xy +e* = sin(x+1). By using implicit differentiation, find dxx.y)-(1.0)

A: Given equation: xy+ex2y=sin⁡(x+1) To find: dydx(x,y)=(1,0)

Q: The slope of a tangent line at (1, 4) is 2. What is the equation of the line? Select the correct…

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