Use an appropriate local linear approximation to estimate the value of the given quantity. In (0.99) ~

Q: The dimensions of a closed rectangular box are measured as 90 centimeters, 80 centimeters, and 60…

A: Given: The dimensions of a closed rectangular box are measured as 90 centimeters, 80 centimeters and…

Q: Find an equation of the normal line to the curve  y = sqrt(x)  that is parallel to the line  4x +…

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Q: Estimate √4.1 using linear approximation.

A: This question is based on the linear approximation of a function.

Q: Use an appropriate local linear approximation to estimate the value (2.03)^3

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Q: Verify by differentiation that x4 is an antiderivative of 4x3.

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Q: Use a linear approximation to estimate V65.

A: 653

Q: Use a local linear approximation to estimate 9.02^(1.5) [please show complete solution]

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Q: Use a linear approximation to estimate v100.5. Show your work.

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Q: Use a linear approximation (or differentials) to estimate the given number. V 99.4

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Q: Use linear approximation to estimate (27.4)^1/3

A: Given- 27.413 To Use- The linear approximation to estimate the above expression.

Q: The height and base radius of a circular cylinder are measured as 15 cm and 4 cm, respectively, with…

A: Note the formula and result . Volume of cylinder is . Suppose f and g is a differentiable function…

Q: Define the truncation error for our forward difference approximation?

A: Truncation error is defined as the difference between the true (analytical) derivative of a function…

Q: Use linear approximation to approximate the value of In(20) without the need for a calculator. Up to…

A: Given:      Linear approximation of ln (20)

Q: Calculate the length of the tangent line, normal line, sub-tangent and subnormal from: a. 4x² + 9y =…

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Q: 2. Use local linear approximation to estimate (31.62). Th

A: Given- (31.62)45 To use local linear approximation to estimate (31.62)45. Linear approximation is…

Q: Use a linear approximation (or differentials) to estimate the given number. 99.8 9.9

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Q: Estimate 291/5 using a linear approximation.

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Q: Use an appropriate local linear approximation to estimate the value of the given quantity. Round…

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Q: The edges of a cube are found to be 10cm with an error ± 0.03cm The volume of the cube is then…

A: Let the side of the cube = s = 10 cmError in the side = ds = ±0.03 cmNow,Volume of the cube = V =…

Q: At what point of the curve y = x* is the normal line parallel to 2x + y = 3? 2 16 ㅇ (, ) (뚜 든) 이 o…

A: To find  The point of the curve y=x^4 is the normal line parallel to 2x+y=3.

Q: Use linear approximation to approximate cubrt(28)

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Q: Use a linear approximation (or differentials) to estimate the given number. (8.09)2/3

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Q: The dimensions of a closed rectangular box are measured as 80 centimeters, 60 centimeters, and 100…

A: Let the dimensions of a closed rectangular box are: Length=L=80 cmWidth=W=60 cmHeight=H=100 cm And…

Q: Use an appropriate local linear approximation to estimate the value of the given quantity. tan…

A: Here is the solution

Q: What is the difference between the linearization, L(x), of f at a, and the linear approximation (or…

A: Given question:- What is the difference between the linearization, L(x), of f at a, and the linear…

Q: 2. Use second order derivative to derive the acceleration, a for an object that falls where its…

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Q: Use the linear approximation to estimate

A: In this question, by using a linear approximation to evaluate the value of the expression using…

Q: Use a linear approximation to estimate the number (8.07)²/3. Make sure that your answer is correct…

A: As we know that the expression for the linear approximation is: Lx+∆x=fx+∆xf'x Consider, a function…

Q: linear approximation to estimate √24.

A:

Q: The centripetal acceleration of a particle moving in a circle is a = v2 -, where v is the velocity…

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Q: Verify the statement by showing that the derivative of the right side is equal to the integrand on…

A: We have to verify that given statement.

Q: Use an appropriate local linear approximation to estimate the value of the given quantity. (3.97) =

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Q: Find the equation of the normal line at 2 x = 0 to the curve, y + 0. x – 3 %3D -

A: Given: Equation of the curve…

Q: Estimate 3√9 using a linear approximation at a=8.

A:

Q: the side of a sqaure is 10 cm. find the approximately, by using differential, the increase in the…

A: Given that side of a square a is 10cm and it is increased by 0.02cm.

Q: Find an equation of the normal line to the curve y= sqrt(x) that is parallel to to the line 2x+y=1.

A: The equation of the curve is y=x and the equation of the line parallel to the normal line is 2x+y=1.…

Q: 2. (a). Use linear approximation to estimate V143. (b). Compute the percent error in your…

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Q: Does the differential dy represent the change in f or the change inthe linear approximation to f ?…

A: Given the differential is dy.

Q: . Use a linear approximation to approximate V143. (Be sure to show enough work so I can tell you're…

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Q: Use a linear approximation (or differentials) to estimate the given number. 99.6

A: Given query is to perform linear approximation on given redical.

Q: What is the standard linear approximation?

A: A linear approximation is an approximation of a general function using a linear function. They are…

Q: Find the equation of the tangent line on 3xe™v² - ez 2ye at (1,1)

A: Given  3xexy2-ex3=2yex2first we find dydx at point (1,1)

Q: Use an appropriate local linear approximation to estimate the value of the given quantity. tan…

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Q: 7) Use a tangent line approximation with the function g(x)= Jx to estimate V9.2

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Q: Use differentials to estimate the maximum error in the volume of a rectangular box with square base…

A: Here we find the error in volume by using differential.

Q: Use an appropriate local linear approximation to estimate the value of the given quantity. (1.97) =

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Q: Use a linear approximation to estimate V8.05.² Show relevant work to explain your reasoning.

A: Linearization: If y = f(x) is differentiable function at x = a, then linear approximation at the…

Q: Use linear approximation or differentials (but not both) to estimate: V7.98

A: We will use linear approximation to estimate the given term   the given expression is   7.983

Q: Use linear approximation or differentials (but not both) to estimate: V7.98 Is your answer an…

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