The side s of a square carpet is measured at 7 ft. Estimate using the Linear Approximation the maximum error in the area A of the carpet if s is accurate to 0.5 inches. (Use decimal notation. Give your answer to three decimal places.)

Q: Estimate using the Linear Approximation and find the error using a calculator. ln(0.97)

A: Linear Approximation of ∆f If f is differentiable at x=a and ∆x is small,then ∆f≈.f'(a)∆x…

Q: Determine the slope of the tangent line to the curve A(x) = at x=-0.81 (answer in 2 decimal places,…

A:

Q: Find the equation of the tangent line to the function h(x) = xv4 + 2x at x = 6. %3D %3D

A: Differentiate the function with respect to x to find the slope of the tangent line.…

Q: The cube root of 343 is 7. How much larger is the cube root of 344.9? Estimate using the Linear…

A:

Q: Use the diagram at the right to find m24. R tangent line

A: Tangent chord angle is half of the arc angle.

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

A:

Q: stimate the cubes root of 28 using a linear approximation.

A: Consider the formula for the linear approximation. Find the function f(x) and the derivative f'(x).…

Q: Question 4

A:

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

A:

Q: Use a linear approximation to estimate sqrt(15.8). Please make sure it is clear what function you…

A: Use a linear approximation to estimate sqrt(15.8). Please make sure it is clear what function you…

Q: The sides of a square carpet is measured at 4 ft. Estimate using the Linear Approximation the…

A:

Q: Find the slope of the tangent line to the function: 4y 27 1 + х2 At point (1, 1) . 2.

A: Given:

Q: Approximate (a) arctan 0.95 and (b) arctan(−1.2) using the linear approximationtechnique

A: Use the following steps shown below to find by using linear approximation technique. First see the…

Q: Estimate (2.4) by using a linear approximation of f(z) =x² about the value z 2. %3D Round your…

A: We have to find

Q: Estimate the cubed root of 28 using a linear approximation

A:

Q: ! The circumference of a sphere was measured to be 80.000 cm with a possible error of 0.50000 cm.…

A: Area of Sphere = 4πr2  circumference of sphere= 2πr  r = radius of sphere

Q: The volume V of a right-circular cylinder is computed using the values 3.5 m for diameter and 6.2 m…

A: Concept: Calculus helps in understanding the changes between values that are related by a function.…

Q: estimate using the Linear Approximation and find the error using a calculator. 9^1/3 − 2

A:

Q: at 0.05 level? B. Based on your conclusion, what type of error could you have just made? Describe a…

A: Test statistic   z =-1.5538 p-value = 0.1202 Decision: Fail to reject H0.

Q: The cube root of 27 is 3. How much larger is the cube root of 27.8? Estimate using the Linear…

A:

Q: Find the slope of the tangent line to the curve 4x? – 4xy + 4y3 – 272 at the point ( – 2, – 4).…

A:

Q: Is the statment true or false? The slope of the function f(x)=cosbx at the orgin is -b

A:

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

A:

Q: The volume V of a cylinder is computed using the values 4.5m for the diameter and 8.6m for the…

A: Given : height of cylinder is 8.6 cm and diameter of cylinder is 4.5m error in diameter is given by…

Q: Find the coordinates of the point Pin Figure, at which the tangent line passes through (5, 0).

A: Given figure is  where suppose that the coordinate of point P is P=a,b

Q: Find a number a so that the tangent lines to y= x° + 11x +x + 13 at x = a and at x = a+ 1 are…

A:

Q: Use linear approximation to approximate cubrt(28)

A:

Q: Use a tangent line approximation to estimate the value of V3.9 O 2 O 1.998 O 1.975 O 1.95

A: Known fact: The tangent line approximation formula is fx+∆x≈fx+f'x ∆x. Given that 3.9. Consider the…

Q: The cube root of 512 is 8. How much larger is the cube root of 514.4? Estimate using the Linear…

A:

Q: Show that the tangent line to the curve y = x3 at any point (a, a3) meets the curve again at a point…

A: Proof: The given curve is y=x3. Obtain the derivative of the function as follows: dydx=ddxx3…

Q: use the tangent plane to estimate the value of √(4.8x5.02)

A: use the tangent plane to estimate the value of √(4.8x5.02)

Q: . Use linear approximation to find v100.7

A: Linear Approximation For a function of any given value, the closest estimate of a function is to be…

Q: Find the slope of the tangent line to the curve – 2x? – 2xy 19 at the point (4, – 3). Preview

A:

Q: Find the difference between the upper and lower estimates of the distance traveled at velocity f(1)…

A: Given, the velocity function            f(t)=e-t22 , 0≤t≤4, for n=60

Q: Use Linear Approximation to calculate the given number. square root(100.25) Give your answer as a…

A: We know that,The linean approximation for the function,f at a is given byL(x)=f(a)+f'(a) (x-a)

Q: Find a point on the curve y=√x, where the tangent makes an angle of 45 degrees with the positive…

A:

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

A:

Q: laimed to be 27 cubic inches, correct to within o estimate the propagated error in the cube. ceer

A: Solution

Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

A:

Q: Find the work done by winding 3 meters of a cable if the force applied to wind the cable by x meters…

A:

Q: If the minute hand of a clock has length r (in centimeters), find the rate at which it sweeps out…

A:

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

A:

Q: Find the area A of the largest rectangle that can be inscribed under the curve of the equation below…

A: Given that the rectangle inscribed under the curves of the equation in the first and second…

Q: 3 Find approximation a5 costect to an three decimal places.

A: We approximate the value by using differential. The answer is given as follows

Q: Find all the values of x where the tangent line is horizontal. f(x) = 2x° + 36x? + 192x + 12

A:

Q: Find the slope of the tangent to the curve y² In(x) + x²y = 4 at (1, 4). %3D Need Help? Read It

A:

Q: estimate using the Linear Approximation or linearization, and use a calculator to estimate the…

A:

Q: Use Linear Approximation to calculate the given number. square root(9.34) Give your answer as a…

A: