Find the following limit or state that it does not exist. √x-15 lim X-225 X-225

Q: Convert the value (10111011010001011101)2 to Base 10 using the equation method

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Q: Consider the definite integral π/2 cos(z) 1715 (z) Sin 7/5 The most appropriate substitution to…

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Q: 3 a) Let f(x) = x(x + 4) ³. The only inflection point of f(x) which lies in the interval [-2/2,0]…

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Q: Work Problem 2 a) Find the points of intersection of the curves y = -52² and y=z²-6. b) Find the…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Simplify and write the trigonometric expression in terms of sine and cosine: 1 tan x csc X = f(x)…

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Q: Find the Maclaurin series of f(x) = 5*. Σ n=0

A: given function fx=5x To Find: Maclaurin Series

Q: find of such that f'(x) = X ² + 4 and f(0) = 6 2 f(x) == d

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 6 F(x) = ['sir F'(x) = x…

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Q: Let f(x, y) = -L²₁ fx(x, y) = fy(x, y) = 89 + 10 dt. Find f(x, y) and f(x, y).

A: The given integral equation is: f(x, y)=∫xy 89+t10 dt

Q: Solve the right triangle shown in the figure for all unknown sides and angles. Round your answers to…

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Q: Find the Maclaurin series of f(x) = Σ n=0 sin(x) x

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Q: What is the integral that represents the length of the curve y = 1 =(2²+2) ³/2 from x = 0 to x = 1.…

A: Using formula for length of curve we find length of curve.

Q: Find T₁(x): the Taylor polynomial of degree 4 of the function f(x) = arctan(8x) at a = T₁(x) =

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Q: Find d dx -(7 ln(x))

A: We know that derivative of ln(x) is 1/x

Q: Find an equation of the set of all points equidistant from the points A(-1, 4, 3) and B(4, 2, -3).…

A: We use here distance formula,

Q: Find the area bounded by the parabolas x? = 4y and y = 4. A. 21.33 B. 33.21 C. 31.32 D. 13.23

A: As per guidelines, at a time only one question can be answered. Please repost for other question.…

Q: 12. The Crash-em-Up body repair shop fixes three types of cars compact, midsize and luxury. If a…

A: Given:  The time required, in hours, to fill, sand, and paint the fender for  three types of cars is…

Q: Find the distance between the point and the plane. (Round your answer to three decimal places.) (3,…

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Q: Find a unit vector that is orthogonal to both u and v. u = (-8, -6, 4) v = (17, -18, -1)

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Q: Suppose (t) satisfies the following conditions: dx dt || 7e 7, x(0) = 5.

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Q: The height of an object t seconds after it is dropped from a height of 280 meters is s(t) = -4.9t2 +…

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Q: Find the surface area of the part of the plane z = 7+ 5x + 2y that lies inside the cylinder r² + y²…

A: The surface  area of the of the part of the plane z=7+2x+6y that lies inside the cylinderx2+y2=1

Q: The boundaries of the shaded region are the y-axis, the line y = 1, and the curve y = x. Find the…

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Q: The marginal cost of manufacturing a yards of a certain fabric is C'(x) = 3-0.01x + 0.000006x2 (in…

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Q: In polar coordinates, we have the unit vectors in the direction of and normal to as e, = cos 07 +…

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Q: A subject in a psychology experiment who practices a skill for x hours and then rests for y hours…

A: SOLUTION:-   Given, A subject in a psychology experiment who practices a skill for x hours and then…

Q: f(x) = 2x^2 + 3 Find the equation of the tangent line to f(x) at x = -2.

A: Given: f(x)=2x2+3 We are required to find: Find the equation of the tangent line to f(x) at x=-2.

Q: Use the sum and difference identities to determine the exact value of the following expression. If…

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Q: Find the domain and range and describe the level curves for the function f(x,y). f(x, y) = 10x2+3y-2

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Q: Use logarithmic differentiation to find dy/dx. x2 - 64 x2 + 64 dy dx || y = I x8

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Q: Find the second derivative of the function. f(x) = f "(x) = X X - 7

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Q: Use the Definition to find an expression for the area under the graph of f as a limit. Do not…

A: The function is fx=6xx2+2, 1≤x≤3.

Q: Evaluate the integral. 12 F(X). f(x) dx where f(x) if -2 ≤ x ≤ 0 (6x² if 0 < x < 2 = {2-x²

A: Given: f(x)= 2 for [-2,0] and f(x)=6-x2 for (0,2]  We have to find the value of integration of f(x)…

Q: Consider the indefinite integral (ln(z))²–—– dz. This can be transformed into a basic integral by…

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Q: Solve the problem. 43) A rescue cable attached to a helicopter weighs 2 lb/ft. A 180-lb man grabs…

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Q: Find the area of a spherical triangle with three right angles on a sphere with a radius of 1880 mi.…

A: We are required to find: Area of a spherical triangle with three right angles on a sphere with a…

Q: Find the order 3 Taylor polynomial T3(x) of the given function. f(x) = (-5x +52). at a = T3(x) = 4.

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Q: Find the exact length L of the curve where y 20. 7y² = (3x-2)³, 1<z≤ 2,

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Q: g... find the absolute maximum Values of the function over the indicated interval and indicate the…

A: f(x)=4-5x-3x2 ;[-3,1]

Q: Given the function: f(x) f(x) = 25 True False = 25x 0.45x - 0.4x² the relative rate of change is

A: The given function is F(x)=25x-0.4x2.

Q: Find the first partial derivatives of the function. f(x, y) = 3xy 11 11

A: Given: f(x,y)=3xy We are required to find: The first partial derivatives:fxfy

Q: Solve the following differential equation: (x² − 2y²)dy + 2xy dx = 0

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Q: If the region under the graph of y = √√√x+2 from x = 0 to x = 1 is rotated about the x-axis, then…

A: Consider the curves y = x+2 0 ≤ x ≤ 1 Rotate about the x-axis.

Q: The general term of the sequence -1 1 -1 1 3 4'5 is Select one: O True O False 1, An 2 = (-1)" n "…

A: We have to find the sequence by using the general term. The general term is given by…

Q: The weekly revenue realized by a company is approximated by the revenue function = R(x, y) 350x +…

A: Given,   The weekly revenue realized by a company is approximated by the revenue function R(x, y) =…

Q: Find the indefinite integral. (Remember to use absolute values where appropriate.) I cos t 5 + sin t…

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Q: The decay of a radioactive substance can be represented by more than one exponential model. explain.

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Q: Just as two points are two pieces of information that uniquely determine a line, a quadratic…

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Q: dªy dx = 12x+2 :y(2) = 28, y(2) = 5

A: We need to solve the following differential equation: d2ydx2=12x+2 ; y'(2)=28, y(2)=5 This can be…

Q: dx 3+2x S-3

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