Find the number x in the interval-;,1| so that the difference of the number from thrice'its cube is minimized.

Q: Find the slope of the line through the point (12,15) that cuts off the least area from the first…

A: Given: (12,15)

Q: How is linear approximation used to approximate the value of afunction ƒ near a point at which ƒ and…

A:

Q: Use linear approximation to estimate (1.3)/3

A: Given: (1.3)13=?

Q: Please show step-by-step solution!

A:

Q: the metrod of variation of parameters to Apply Solve my = Secnn dx2

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Q: Use a linear approximation to estimate V65.

A: 653

Q: The normal line to the curve y = -2x2 at a point in the fourth quadrant passes through the point…

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Q: The City Council proposed to utilize government-owned land with an area of 9,600 square meters.…

A: The City Council proposed to utilize government-owned land with an area of 9,600 square meters.…

Q: How do I find the shortest distance between y=x^2 and y=ln(x) ?

A: By using tangent of two curves we find the minimum distance as follows :

Q: Solve for the slope of the functions at the points specified using the limit definition of slope of…

A: Consider the function  f(x) = 12x2− 9x + 15 point (−2, 81).

Q: Find two positive numbers with product 289 and whose sum is a minimum.   Enter your answers in…

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Q: Find the average value of the function on the indicated interval: 2. f(x) = 3xVx² – 16; x € [4,5] -

A:

Q: Find the slope and y-intercept of the line through the point (10,9) that cuts off the least area…

A: Equation of line in point slope form : (y - a) = m*(x-b)  Where, slope = m and point = (a,b)

Q: The maximum value of y = cos x for - < x< is 1

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Q: The length and width of a rectangle are measured as 35 cm and 28 cm, respectively, with an error in…

A: To determine the maximum error in the area.

Q: 2. The product of two positive numbers is a fixed number k. What is the minimum possiblo voluo of…

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Q: Find the point on the line y = x closest to the point (1, 0). Hint: It is equivalent and easier to…

A: Distance between two points in xy-plane can be calculated using the distance formula. For two points…

Q: The length and width of a rectangle are measured as 25 cm and 36 cm, respectively, with an error in…

A: Given length of a rectangle, l =25 cm           Width of a rectangle, w=36 cm We know that,  Area of…

Q: how do we identify the minimum and maximum value of the graph of a function at a given intetval?

A:

Q: Estimate the area between the x-axis and the graph of f(x) = 9- x over the interval -2, 1] by using…

A: To find:- Estimate area between the x Axis and graph of f(x) = 9-x2 ove  interval [-2, 1] using…

Q: The linear approximation to 1 over sqrt(5-x) at x=0 is y=?

A: To find the linear approximation at x = 0 to the function 1/sqrt (5–x).

Q: Consider a rectangular poster that contains 312.5 cm² of printing with a 10 cm margin at the top and…

A: Solution :- let the paper size be x cm in length and y cm in width  The length o the printed space…

Q: The length and width of a rectangle are measured as 89 cm and 22 cm, respectively. The error in…

A: According to the given information:Length of rectangle (l) = 89cmWidth of rectangle (b) = 22cmError…

Q: Explain the three techniques that are used frequently to Use Approximations to Estimate Reversion…

A: Approximations: Approximation is a estimated value or estimation of a number or rounding a number to…

Q: Find the slope of line drawn tangent to the function. f(x)=x2+7, at the point (-2,11) by using the…

A: Shape of tangent line to the curve is given by first derivative of curve at given periodDerivative…

Q: Solve for average value of the function within interval [0,20]

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Q: Find two positive numbers whose product is 750 and for which the sum of one and 10 times the other…

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Q: Does Newton’s Method fail when the initial guess is a relative maximum of f ? Explain.

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Q: Find the equation of the line through the point (2, 5) that cuts off the least area from the first…

A:

Q: The City Council proposed to utilize government-owned land with an area of 9,600 square meters.…

A:

Q: Find the total area between f(x)=3x2-3 and the x-axis on the interval [-2,2]

A: Calculation:The given curve are f(x) = 3x2 – 3 and the x axis y = 0 on the interval [– 2, 2].The…

Q: Volumes Find the volume of the described solid of revolution or state that it does not exist.

A: Given function is f(x)=1x lnx and the interval is [2, ∞).

Q: The area bounded by the curve y = 14.x and the lines x = 4 and x = 6 above the x- axis is 364 square…

A: Area=∫ab(upper curve-lower curve)dx∫xndx=xn+1n+1+C

Q: the rate at which the total average number of COVID cases is increasing at x = 10 tents and 4 = 1…

A: Given, Illustration: x=10 tentsdxdt=1 tent per day Let, a be the number of additional tents and y…

Q: Estimate the area under the graph of f(x)=x+4 over the interval [-4,4] using eight approximating…

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Q: The region bounded by f(x) = (x + 1)-³ and the x-axis on the interval [0, ∞) is revolved about the…

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Q: Hiwiy Express the ballowsing functions by Palar equationft 2.

A: To change a rectangular equation to a polar equation just replace x with (r cos θ ) and y with  (r…

Q: Determine the rate at which the total average number of COVID cases is increasing at x=10 tents and…

A:

Q: The area bounded by the curves y = 1 -x2 and y = - x2 + 2 x + 3 , line x = -1 and x = 1 is

A:

Q: Express the length l of a chord of a circle of radius 8 as a function of its distance x from the…

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Q: The area of the region bounded by the function f(x) = + 3, lines x = −2, x = 2 and the x — axis is…

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Q: Estimate the area under the graph f(x) = x2 between x = 0 and x = 4 using right sum with two…

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Q: Find the slope of the line through the point (12,15) that cuts off the least area from the first…

A:

Q: What is the total area between f(x)=−2x−6 and the x-axis over the interval [−8,4]?

A: The area under a curve is the area between a curve f(x) and  the x -axis is the interval [a,b] given…

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: Find the slope and y-intercept of the line through the point (1,2) that cuts off the least area from…

A: Given : Point ( 1 , 2 )  It cuts off the least area from the first  quadrant

Q: The length and width of a rectangle are measured as 38 cm and 34 cm, respectively, with an error in…

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Q: Find the area bounded by the curve 4 square units 8 square units 16 square units 10 square units =…

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Q: Find the average rate of change of between the points on the function whose coordinates are (1, 3),…

A: Given points are (1, 3) and (2, 16).

Q: Use the Midpoint Rule to estimate the integral. n=4

A: Since we have been given up the integral ∫191xdxOur aim is to estimate the integral till n=4 using…