cọ xdx 2 √x4-1

Q: Represent the function 5 (1-10x) 00 as a power series f(x) = c n=0 спаем

A: Use ratio test of the convergence

Q: Find the angle between the vector 1) The exact angle is cos -1 2) The approximation in degree is

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: the given equation of the graph is   the x-intercepts can be determined by put y=0 and solving for x…

Q: Find the first partial derivatives of the function. Əw ди Əw Əv 11 || W = ev u+v7

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Q: Let a = 2j - 5k and 6 = 3i – 2j + 2k. Find −ā + 37. -ā + 3b =

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Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

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Q: How long will it take $4,000 to grow to $8,500 if the investment earns interest at the rate of 11% /…

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Q: A rectangular beam will be cut from a cylindrical log of radius r =30 inches. Suppose that the…

A: We need to find dimension of the strongest beam.

Q: prove the given limit does not exist xy + yz²+xz² lim (x,y,z)+(0,0,0) x² + y² +z²

A: The given limit is .The objective is to prove the limit does not exits.

Q: If 0 = -5T 6 sec (0) equals csc (0) equals then find exact values for the following: tan(0) equals…

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Q: a fishing boat leaves a marina and follows a course of S64°W at 9 knots for 20min. Then the boat…

A: A fishing boat leaves a marina and follows a course of S64°W at 9 knots for 20 min. Then the boat…

Q: Evaluate the integral. √(-6si + 7s²j + 7k) ds = a(t)i + b(t)j + c(t)k (Use symbolic notation and…

A: We are required to:

Q: sketch a graph of -cos (x + 7) 4 -2π -3π/2 -π -Jt/2 6 5 4 3 2 1 -1 -2 -3 -4 -5- π/2 R 3π/2 2π

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Q: The cost to produce x units of a certain product is given by C(x) = 10,000+ 8x + x². Find the value…

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Q: Use the Divergence Theorem to compute the net outward flux of the field F = (-2x, y, 4z) across the…

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Q: Evaluate the integral by making an appropriate change of variables. [[ 9 COS (3 (Y + X)) cos dA…

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Q: Find the absolute extrema of the function f(x, y) = ln(3x² + y² +3) on the closed and bounded region…

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Q: The clothing manufacturing company extimates that profit is modeled by the function P(x) = 0.002x³ +…

A: To find marginal profit , differentiate P(x) .

Q: sketch a graph of — 4 sin(x − ™) - 6

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Q: дz дz Use the chain rule to find and Əs at əz Əs дz | at || = z = tan 3v- 5u ₂2 (=), 5v + 3u u = 3s…

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Q: x-2 x3-4x a) Discuss the continuity of g b) Which of the discontinuities, if any, are removable? c)…

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Q: 8 Sketch the solid whose volume is given by the iterated integral. '1 L^L^ (8. (8 - x - 2y)dx dy…

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Q: find an equation in spherical coordinate that describes a cone opening downward with vertex at the…

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Q: Suppose h = fog. Find h'(0) given that f(0) = 9, f'(1) = −8, g(0) = 1, and g'(0) = 5. h'(0) =

A: Given data

Q: Find the arc length of the following curve. 47/2, 3,20 4√2 3 r(t) = (t² +9₁ 2t for 1 ≤t≤6 The arc…

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Q: A cylindrical tank 10 ft high and 5 ft in radius is standing on a platform 50 ft high. Fin the depth…

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Q: Each unit of a product can be made on either machine A or machine B. The nature of the machines…

A: We can solve the given problem by using the Lagrange multiplier method.

Q: Level curves (isothermals) are shown for the typical water temperature (in °C) in Long Lake…

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Q: At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 24 knots and ship…

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Q: The daily marginal revenue function associated with selling x widgets is given by R'(X) = 15x² + 12x…

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Q: maxima for the function: f(x) = 4x + sin(4x) on the int nswers. naximum minimum

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Q: Consider the following indefinite integral. The integrand decomposes into the form: Compute the…

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Q: Use Green's Theorem to evaluate the following line integral. Assume the curve is oriented…

A: Here we have given the vector field is ..We must first determine the vector field's curl before…

Q: S x + 2 -dx x³ - 1

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Q: Solve AABC subject to the given conditions. A=26°, B=71°, b=186 Part: 0/3 Part 1 of 3 Express the…

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Q: Consider the position vector of the following moving object. Answer parts (a) and (b) below. r(t) =…

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Q: The slope field of the indicated differential equation has been provided, together with a 3 solution…

A: Given that,

Q: Find an equation of the plane tangent to the following surface at the given point. z=7-3x²-3y²;…

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Q: Find the slope m of the line that passes through the points (-10, 4) and (2, 4). Enter an exact…

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Q: Three definite integrals are listed below. Two can be evaluated exactly using geometry. One cannot.…

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Q: Solve AABC subject to the given conditions, if possible. Round the lengths of the sides and measures…

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Q: x(t) = 5 - 6t Find the equation of a plane through the point (-5, 6, -7) and orthogonal to the line…

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Q: The motion of a point on the circumference of a rolling wheel of radius 4 feet is described by the…

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Q: Find the absolute minimum and absolute maximum values of the given functions in the indicated…

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Q: 1. Using the first fundamental theorem of calculus and the chain rule, find sin(t-1) Vt+3 d 1₂ d.x…

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Q: 12. Evaluate feF.T ds where F = (y, x²) and C is the curve along the parabola y = 3x² from (0,0) to…

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Q: Consider the function y=xsin 2x. Find the equation of the tangent line to the curve at the point (1)…

A: The given function .The objective is to find the equation of the tangent line at the point .

Q: Question 1. Let f and g be the functions with the graphs given below. Evaluate the following limits:…

A: Conditions for composite function limit find limit

Q: The height s (in feet) at time t (in seconds) of a silver dollar dropped from the top of a building…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Suppose the rate of change of the unit price p of video boards is p'(x) = p(x) = 1200x (x² + 11)3/2…

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