-example 3- Use an appropriate linear approximation to approximate the value of √26.2. Draw a diagram to illustrate your work.

Q: Use Newton's method to obtain the third approximation, X2, of the positive fourth root of 5 by…

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Q: b g(b) Use the Substitution Formula, f(g(x)).g'(x) dx = [f(g(x)) +g'(x) dx = [ g(a) a 1 -1/²/313…

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Q: 1. y'(t) − y(t) = 1, Ans. y(t) = e' - 1 y(0) = 0

A: given IVP

Q: Use Newton's method to find an approximate solution of In (x) = 9-x. Start with xo

A: Here ln(x)+x-9=0Let f(x)=ln(x)+x-9

Q: 5. [15 pts] Given cos a = -, a in Quadrant III, and sin ß= 1, 3 in Quadrant II. a) Find sin(a+ß). b)…

A: D

Q: Area = 7 (a) What is [*5(x) 5 f²50 f(x) dx = (b) What is f(x) [ f(x)² is fºfo f (x) dx = [s (c) What…

A: Definite integral :- A deefinite integral has been evaluated between specific limits. This can be…

Q: Find the relative rate of change of f(x) at the indicated value of x. f(x) = 2x² - Inx; x=8 The…

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Q: Find all critical points of the following function. 3 3 ((x,y) = x² - +2 X 3 3 + 2xy What are the…

A: Consider the function

Q: Given: (x is number of items) Demand function: d(x) 4624 √x Supply function: s(x) = 4√x = Find the…

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Q: Use the given information to find the left- and right- hand Riemann sums for the following function.…

A: given function

Q: g(b) Use the Substitution Formula, f(g(x)) • g'(x)dx= f(u) du where g(x) = u, to evaluate the…

A:

Q: Given the acceleration a= initial velocity, and initial position of a body moving on a coordinate…

A: The given acceleration is.The aim is to find the .

Q: A circular plate with radius 9 m is submerged vertically in water as shown. Express the hydrostatic…

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Q: Suppose f(x,y)= (-y) (25-ay). Answer the following. Each answer should be a list of points (a, b, c)…

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Q: Evaluate the integral: [ x³√100- x²dx + C

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Q: Find the equation(s) of the tangent line(s) to the graph of the indicated equation at the point(s)…

A: The objective of this question is to find the equations of the tangent lines to the graph of the…

Q: Let g be the function given by g (x) instantaneous rate of change of gl at x = 1? O O -42 -38 42 38…

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Q: Find the partial derivatives of the function 뚝뚝층 _w = V2 + 182 + 2t2

A: The Power Rule:The Chain Rule:

Q: Use Newton's method to estimate the two zeros of the function f(x)=x-x-2. Start with x= -1 for the…

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Q: (d) What is >[*\ If (x)| dx? [1500 dx = i

A: Consider the graph

Q: Given: 3n An = 6n + 13. For both of the following answer blanks, decide whether the given sequence…

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Q: Find a unit vector in the direction of r=-5i +15j. Express your answer in terms of i and j. Give…

A: Let a vector  Then unit vector is given as follows

Q: Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per…

A: The objective of the question is to find out how many bottles 10 machines can produce in 4 minutes,…

Q: Let y = 3e¹ 2x³+e-4z. . Which is y'? You will need to simplify to find the answer.

A: The given function is

Q: Consider the following line integral over the given plane curve. Use x as the parameter to write…

A: Consider the line integral

Q: Use the Ratio Test to determine whether the series is convergent or divergent. 4! 1-3-5-1-3-5-7…

A: The ratio test states that

Q: Find the values of x so that the series below converges. Give your answer in interval notation. n=…

A: The given series is

Q: Evaluate the Iterated integral I SS (3y² + 4x) dady

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Q: A carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet. If the carpenter…

A: The objective of this question is to find the capacity of a new sandbox that is twice as long, twice…

Q: y = tan x S 2 1 1+t³ dt

A:

Q: What is the unit sphere's equation in spherical coordinates? p=1 2 p² + 0² +6² = 1 p=2 cos p p = 2…

A: The objective of the question is to identify the correct equation for a unit sphere in spherical…

Q: Suppose sin(theta) = 3\5 and theta in quadrant 2. Find the exact value of the following. Solve with…

A: We have given thatsinθ = 3/5 and  lies in 2nd quadrant .

Q: The rate of growth dP⁄dt of a population of bacteria is proportional to the square root of t, where…

A: The rate of growth of bacteria is directly proportional to the square root of time.

Q: Find the relative rate of change of f(x) = 12 +2e-2x The relative rate of change of f(x) is

A: Relative rate of change of f(x) can be expressed as the slope (or first derivative) f'(x) of a…

Q: Suppose R is the solid bounded by the plane z = 2x, the surface z = 2, and the planes y = 0 and y =…

A: R is solid bounded by the plane z = 2x, the surface z = x2  and the plane y = 0 and y = 3. Find…

Q: Find the inverse laplace of the following: s+1 3. L¹ { S² + 4s +6 4. [¹ e-38 е a Ans. F(1) =…

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Q: Graph the polynomial P( (e) Sketch the graph O points in each inter

A: We need to solve function and draw graph.

Q: A square-shaped sheet of ice is growing as time passes. If the sheet of ice is always in the shape…

A:

Q: fx csc x² c X CSC csc x² cot x² dx

A: +C

Q: Find (A) f'(x), (B) the partition numbers for f', and (C) the critical numbers of f. f(x)=x²-12x+4…

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. Identify lal. 2"n!…

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Q: Evaluate the line integral L = = √ [a²y dx + (x² − y²) dy] over the given curves C' where (A) C is…

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Q: Riemann Sums and Ecosystem Services Definitions: Watershed: the area that drains into a stream,…

A: The objective of this question is to calculate the area under the graph for each watershed to…

Q: Two students are working to sketch the graph of the function k(x)=1.5(x−2)2+4 .  Both begin by…

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Q: Find all exact solutions on the interval [0, 27). If there is more than one answer, enter them as a…

A: We have given a trigonometric equation .We have to find the solutions on the interval .As we know…

Q: Let f,g A→ R and suppose that c is a cluster point of A. If lim f(x) = L and 0 then using the…

A: This is question of calculus.Here is limit of function is given And we have to prove statement for…

Q: Evaluate the integral 3 √9-x² √9-x² 0 3 √9-x² √9-x² 0 dz dy dx. dz dy dx = (Type an exact answer.)

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Q: Use Green's Theorem to evaluate the line integral along the given positively oriented curve. (5y +…

A: ∫C(5y+7ex)dx+(10x+3cos⁡y2)dyC is the boundary of the region enclosed by the parabolas y=x2 and…

Q: Current Attempt in Progress Incorrect. Find the area under P = 120(0.7)' between t = 0 and 1 = 6.…

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Q: If m is the average (arithmetic mean) of the first 10 positive multiples of 5 and if M is the median…

A: The objective of the question is to find the difference between the median and the mean of the first…