Find - 6x+1 x² +1 -dx.

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A: Given that the region is cut from the first quadrant of the uv plane by the line

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Q: Find the area of the region bounded by the graphs of the given equations. 2 y = 6x-x², y=x The area…

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Q: product of the vectors u and v, and find the angle between the vectors. and v= (1,3,5). f the…

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Q: Complete the information below which possibilities for the local behavior of f(x)=2x³+2x² −8x-48.…

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Q: 1) Use a power series to approximate the definite integral to six decimal places. 0.3 x² 1+x4 dx

A: Use a power series to approximate the definite integral to six decimal places

Q: The initial swing (one way) of a pendulum makes an arc of 6 ft. Each swing (one way) thereafter…

A: The initial swing (one way) of a pendulum makes an arc of 6 ft. Each swing (one way) thereafter…

Q: Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers…

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Q: Find the volume of the smaller region cut from the solid sphere p≤8 by the plane z = 4. The volume…

A: The objective of the question is to find the volume of the smaller region cut from a solid sphere by…

Q: Approximate the area under the graph of f(x) = 0.04x4 -1.21x² +72 over the interval [2,6] by…

A: The left endpoint Riemann Sum Rule:Where  and  is the number of subintervals.

Q: Find the exact values of all real roots for the following polynomial function. f(x) = -25x¹-330x³…

A: we need to find the roots.

Q: An oil refinery is located on the north bank of a straight river that is 2 km wide. A pipeline is to…

A: Let's make diagram according to the given data

Q: 4. Write an equation for line l if line I passes through points (3,3) and (4,-1)

A: Formula for the equation of line is given as

Q: Consider the vector field F = (x¹y³, x³y¹). O The vector field is not conservative The vector field…

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Q: Convert the following equation to Cartesian coordinates. Describe the resulting curve. r=2 cos 0 +…

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Q: Convert the rectangular coordinates to polar coordinates. a. (-2,2) b. (4,-7)

A: The given rectangular coordinate points are,(a) (b) .The aim is to convert the points into polar…

Q: Reverse the order of integration and evaluate the following integral. Enter an exact answer…

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Q: he general solution of the linear system ÿ' = Aÿ is etermine the constant coefficient matrix A. -188…

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Q: 6. Set-up (DO NOT EVALUATE and DO NOT SIMPLIFY) the double integral in polar coordinates 11- - 9.x -…

A: The objective of the question is to set up the double integral in polar coordinates for the given…

Q: Graph the following function:  y=3tan(1\2x−π\6)+2

A: The objective of the question is to graph the given functions y = 3tan(1/2x - π/6) + 2 and y =…

Q: Find all holes of the following function. If a hole exists, write your answer as a coordinate point…

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Q: Evaluate indefinite integral using Integration by Substitution. 40x^3  e^(2x^4 - 3) dx

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Q: Find the curl of the vector field ♬ =. curl F = j+ 12 k

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Q: Consider the figure below. y 2 (1,1) a 2 (a) Find the length of each side of the right triangle. 4 6…

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Q: 2 Find the equation of the function f whose graph passes through the point 0, and whose derivative…

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Q: du Identify u and for the integral dx U = du dx du 1 [₁¹ (x) dx dx 1 (5 + 4x)3 (4) dx

A: To identify  for the integral .

Q: Find the relative extrema of the function f(x)=- 1 2π (x-5)² 2

A: given funciton  to find the extreme points.

Q: Given m(z) = log21 (2+6.2) - 1.9 The 3 starting points you would use would be: Round answers to 4…

A: Given :m(x) = Basic Function :y = log2.1 xThe 3 starting points you would use would be:…

Q: Consider the following. | 12 (a) Perform the integration in two ways: once using the Simple Power…

A: Power rule: +C

Q: Calculate Duf(-1, -2, -4) in the direction of 7 = i-37 + 37 for the function f(x, y, z) = 3x² + xy +…

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Q: = (-+)* table of values Graph f(x) 2 Include a

A: The given equation is,To graph the function we need a few points.x-2-1012

Q: Consider the following. x = 3 sin(t), d²y dx² Find dy dx dy dx = R2 and d²y sec³ (1) dx² = 4 tan (1)…

A: Consider the following.To find .To find the values of t for which the curve is concave upward.

Q: The curve graphed below has equation y Q7.1: y = 3 1+ 4x² (x,y) X Find the dimensions of the…

A: We have given the equation of the curve where . Also the rectangle has one corner at (0,0) and the…

Q: THE FollowING CENTERE FIND A POWER SERIES FOR EACH OF INTERVAL OF VALIDITY FOR EACH SERIES AT A = 0:…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Use Green's Theorem to calculate the work done by the force F on a particle that is moving…

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Q: Find a number a in [0, 1] such that f (a) = fave over the interval [0, 1]: f(x) = 3x² O الله O √3 O…

A: The average value of the function f(x) over the interval The given function is

Q: Consider the curve r(t) = (t sin t, 1 - cos t), for 0≤t≤2π. a. Graph the curve. b. Compute the…

A: I have appended the formula used in the solution procedure.According to our guideline we are…

Q: 3) Find the area bounded by the curve y² 3x+3=0 and the line x-4-0-

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Q: 5) Consider the function f defined implicitly by: Se*+-3 = x² + y². a) Find and sketch the tangent…

A: The given equation is

Q: 18. For f(x)=x*- 2x² +3: A. Find any critical numbers of f(x) and find intervals of…

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Q: The function f(x) 3x + 6x-1 has one local minimum and one local maximum. Algebraically use the…

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Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: Find all y-intercepts of the following function. Express your answer as a coordinate point in…

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Q: 1 3 2 1 1 P Where: 3 To find the blue shaded area above, we would c b [ f(x) dx = area 4

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Q: a) Approximate Ĵ; dx using left Riemann sum with 4 equal subintervals. 10 2x+1 b) Calculate the…

A: The given integral The Left Riemann sum

Q: (h) Let j(x) = k(x²). j'(x) = j'(2) =

A: Given graph of k(x)

Q: Question 9 of 10 > Evaluate the integral using an appropriate substitution. NOTE: Enter the exact…

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Q: The 1280 students of a high school are having an election for Homecoming King. The candidates are…

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Q: 2. Convert from polar to rectangular coordinates. (6,²) (-2,-) a. b.

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