log3 = X-1 3 √3-2x

Q: Find the slope of the tangent line to the graph of the given function at the given value of x. y =…

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Q: Using Root Test the series Σtan where n 7n4 an = 3n4 + 4n - 5 diverges since 7 lim an == n→+∞ 3 the…

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Q: There are two extremely important sequences that we will discuss in this chapter: arithmetic…

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Q: Given ~ √x³ √4-x² dx. Ⓒ-² (4-2²) dz Ⓒ√2 (4-2) 1/² d Ⓒ/(x++4+²) dz Ⓒ -√2² (4-2²) ³/2 dz dx. If we let…

A: topic- indefinite integral

Q: 2. Find where the curves intersect, draw a sketch of the region (label it completely), and compute…

A: Region is sketched. And volume is evaluated.

Q: 8y^4+12y^3-2y divided by 2y^2+y

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Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 2x³+2x²+2x+6 1. Lim: x3+4x+3…

A: topic- limits

Q: Л ST 6 77 6 EN F/3 2 3 -0 i 11 6 4) V3 2² 2 27 3 F|N 11 6

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Q: 3) x= √y + 1, x= ²2 +1 Axis: x = 1

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Q: Set up the integral, given area enclosed bewteen curves y= x^3 + 2x^2-8x and y = -x^2 + 2x

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Q: 2 √z T Evaluate the integral SSS (² cos ²0 +2²) r de dr dz. 000 ▪▪▪ The value is (Type an exact…

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Q: Prove the following identities : a) Csc0+tan 0.Sec0=Csc0.Sec ²0

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Q: 4. Find lim f(x) and lim f(x) for the following functions n→∞0 1118 f(x) = 3x² − 2x + 1 1. f(x) = =…

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Q: Find the cross product a × b. a = (9, 0, -4), b = (0, 8, 0) Verify that it is orthogonal to both a…

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Q: a) pair (4,-6) & (-6,9) b) pair (2,-3,1) & (4,-6,3) c) pair (6,-5,1) & (3,4,2)

A: To determine whether the following pairs of vectors are parallel, perpendicular or neither. a pair…

Q: Using the definition of the derivative, find f'(x). Then find f'(1), f'(2), and f'(3) when the…

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Q: Apply the definition to differentiate the following functions: 1- y = ₁ 2- y = √√x 3-y=4-x²

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Q: The total amount of money in circulation for the years 1990-2012 can be closely approximated by…

A: This question is related to rate of change, we will solve it using given information.

Q: N A cylindrical tank is filled with gasoline with weight density of 7840 Determine the force exerted…

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Q: Sketch the region enclosed by y = e, y = e¹0, and x = 1. Find the area of the region.

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Q: LAW OF GROWTH AND DECAY A bacteria culture increased 800% in 1 year. How long (in months) will it…

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Q: The length of a rectangle is increasing at a rate of 5 meters per hour and the width is decreasing…

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Q: 4. A hockey team plays in an arena with a seating capacity of 15,000 spectators. With the ticket.…

A: Let's find set the ticket prices for maximum revenue.

Q: The length of a rectangle is increasing at a rate of 5 meters per hour and the width is decreasing…

A: The length of a rectangle is 11 meters and the width is 20 meters. The length is increasing at a…

Q: 5. Let f(x)=log, (x+1). a. Complete the table of values for the function f(x)=log, (x+1) (without a…

A: We are given f(x) = log3(x+1)  We have to find  Values of f(x) for following values of x without…

Q: Find and sketch the domain for the function. cos (xy) f(x,y) = 2 x² + y²-81

A: The given function,  f(x,y)=cosxyx2+y2-81

Q: Write in terms of sine and cosine and simplify the expression. cos A - 2 sin A cos A cos² A - sin² A…

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Q: x2 Consider the ellipse + = 1. 62 In finding the area of this ellipse, use a horizontal element in…

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Q: 8y^4+12y^3-2y divided by 2y^2+y

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Q: A company's revenue from selling x units of an item is given as R = 1200x x². If sales are…

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Q: so cosA/sinA is my answer?

A: Let's simply given expression.

Q: 7.Find of xy of z = 2x³-5xy²

A: To find ∂2z∂x∂y for the given function z=2x3-5xy2

Q: 4) Determine the value of the 4) -2 6)-1 c) o d) 1 I'm 10,0 хсу e) DNE xy 2x² √x² + y²

A: If the function approach the same value k along any path into (0,0) then the limit is k. If two…

Q: Find all the second-order partial derivatives of the following function. w=3ye 4x²-y

A: Given :w=3ye4x2-y

Q: Determine the one-sided limit of the function f in the figure at the given point. (Use symbolic…

A: limx→1-f(x)=3

Q: Find the area bounded by the curve y = 4+2x+z² and x-axis from z=-3 to z = -1. Area of the region -

A: y = 4 +2x + x2 A =∫-3-1f(x)dx A = ∫-3-1 4 +2x + x2dx A = [4x +x2 +x3/3]-3-1 A = (-4 +1 -1/3) - (-12…

Q: ₁√x³ √4-x² dx. if we let z = √√4-x², which of the following integrals is correct using rationalizing…

A: The given integral,        ∫x34-x2dx

Q: 7) y = — - cos (40-32) 2 D

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Test: Test 2 (11 problems) In the following problem, begin by drawing a diagram that shows the…

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Q: A particle is moving along the path given by R(t) = (sin(ln t), cos (Int), √3 lnt). (a)…

A: Let's find.

Q: 15. The sides of a triangle have lengths x, x + 4, and 20. Specify those values of x for which the…

A: Concept: Parallelogram Properties: A Parallelogram is a particular polygon formed by a quadrilateral…

Q: find the equation of the tangent line to the graph of f(x)=x^2(x^1/2 +1) at x=4

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Q: In problems 5 and 6 find the particular solutions of the given differential equations. d²y dy +9y =…

A: To find the solution of the given differential equation.

Q: The Taylor Series generated by f(x) = ln(2 + 4x) at x = 0 is f(x) = In 2 + 2x - 2x² + ²/² x³ + ·…

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Q: X+5x+1 After decomposing the rational function x³-6x²+9x into partial fractions without evaluating…

A: Given problem:-

Q: The shaded region between the graphs of y=-22² +20 and y = 3x - 15 is displayed below in orange. -40…

A: Area of a region is given by ∬dydx, when the rectangle is choosen parallel to y-axis.Area of…

Q: Determine all the critical numbers of f(x) = sinxcosx.

A: Determine all the critical numbers of   f(x) = sin(x)cos(x)

Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) The line…

A: Given problem:- Find a vector equation and parametric equations for the line. (Use the parameter t.)…

Q: Find the derivative of g(t) = 4t2 + 8t at t = 3 algebraically. g'(3) =

A: Topic:- derivatives

Q: In problems 5 and 6 find the particular solutions of the given differential equations. d²y dy 5. 5…

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