Evaluate the definite integral 7 S₂ (8x + 2)dx

Q: Show that cos (π-x) = sin X 2

A: Prove; Cos(pi/2 -x)=Sinx.

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A: Given that y varies inversely as the cube root of x.

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Q: Evaluate the cylindrical coordinate integral * 0/2* 3+26r² SS S dz r dr dº 00 0

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Q: Write an equation describing the relationship of the given variables. y varies inversely as the cube…

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Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a…

A: Maclaurin series of function fx is a Taylor series of function fx at:…

Q: Consider the following. [²x(x² - 1)³ dx Let u = x² - 1. Find du. du = dx Indicate how the limits of…

A: To evaluate the following integral.∫05xx2-13 dx

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A: Given that:- The line segment starting at P(-2,3) and ending at Q(-3,2)

Q: Determine the growth constant of the equation. / - y = 0

A: Given: Now,                12y'-y=0⇒y'-2y=0⇒y'=2y⇒dyy=2dxIntegrating both sides, ⇒∫dyy=∫2dx⇒ln…

Q: . For the given triangle, find the exact value of all six trigonometric functions. Function sin 0…

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Q: Find an equation of the plane. The plane through the point (1, 8, 2) and with normal vector 5i + j -…

A: we have to find the plane equation which ,    passing through point P( 1, 8 ,2 )  and with normal…

Q: 2. Suppose a thin wire with linear density 8(x) = ln(2x) lies between x = 1 and x = 3. Find the mass…

A: The given data is: The linear density of thin wire is δx=ln2x lies between x=1 and x=3 To find the…

Q: Find a . b. |a| = 9, |b| = 8, the angle between a and b is 30°.

A: Given, |a| = 9, |b| = 8 The angle between a and b is 30° We have to find a•b

Q: equation, find  dy/dx  evaluated at the given values. x2y + y2x = 0  at  x = −4, y =

A: Given query is to find derivative.

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Figure

Q: Solve the differential equation with initial condition. y + y = 0, y(0) = 4

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Q: B) 롭 A) 5x tanx O 45 A) 46 11) y = x². Tanx > dy = ? Ta ン de 2 secxx D) 5x4 tanx D) Z B) X5 sec X 5…

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Q: Suppose f(x, y) = 5y - 9x Find an equation for the level curve of f that passes through the point…

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Q: f(x)= x^2log(x) look at the graph to find which function dominate the polynominal or the logarithm.…

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Q: Calculate the derivative of: f'(x) = sec² (15x) f(x) = COS -¹(15x) sin ¹(15x)

A: Given function:- fx=cos-115xsin-115x

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Q: (a) Find parametric equations for the line through (3, 1, 8) that is perpendicular to the plane x -…

A: For xy-plane, z=0. For yz-plane, x=0. For xz-plane, y=0.

Q: Find the equation of the parabola described below. Find the two points that define the latus rectum,…

A: To develop the equation of parabola.

Q: An oil-producing country can sell 7 million barrels of oil a day at a price of $90 per barrel. If…

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Q: Consumers' Surplus The demand function for a certain brand of CD is given by p=0.01x²0.3x+17 where p…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the slope of the tangent line to polar curve 2 (²/1, 7). 6 = - 2 sin at the point

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Q: Use a finite approximation to estimate the area under the graph of the given function on f(x) = -1/2…

A: We need to find area under the curve.

Q: question 30 Find the area enclosed by the curves f(x) = 37 - x^2 and g(x) = x^2 The area (rounded…

A: Given functions fx=37-x2,gx=x2

Q: solution

A: Please refer to the image below

Q: Could I have this handwritten I cant tell what the work means

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Q: 1. Let b, c, d be real numbers, and let a be a nonzero real number. Consider the function f: R → R…

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Q: Find the vertices, foci, & of the asymptotes Hyperbola & Sketch its graph 25x²-9y² = 225

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Q: Find a unit vector in the same direction as v = Provide your answer below: (7,24).

A: Given vector v = { 7 , 24 } let u = unit vector

Q: A forest fire is found at midnight. It covers 1200 acres then. It is spreading at a rate of f(t) =…

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Q: Identify the coordinates of the point in polar form based upon the given conditions. Use pi for T.…

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Q: Which of the following statements is. CORRECT? There is not enough information to determine how many…

A: Suppose , fx=x3+x-1 Determine the solutions in 0,2.

Q: True or False: Consider y = (x − 1)(1 − x). 1 If I use logarithmic differentiation to find y, the…

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Q: 1. y(y³ − x) dx + x(y² + x)dy=0

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Write an equation describing the relationship of the given variables. y varies inversely as the cube…

A: Given y varies inversly as the cube root of x when x = 64 , y = 4

Q: Consider the following. می شود du = x²(x³ + 1)3/2 dx Let u = x³ + 1. Find du. dx Indicate how the…

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Q: Find the general solution of (y^2 – xy)dx + x^2dy = 0.

A: Given differential equation (y2–xy)dx+x2dy=0(y2–xy)dx = -x2dydydx = (y2–xy)-x2dydx = ( xy - y2 )x2

Q: Convert the following equation to Cartesian coordiantes and describe the curve…

A: Convert the following equation to Cartesian coordiantes and describe the curve…

Q: Determine the area of the region bounded by y = (x-4)e5x² - - 40x and y = 0 on the interval [0,8].…

A: NOTE: Refresh your page if you can't see any equations. . given functions are and the given…

Q: Do the following. (a) Determine the linearization of f(x) = ln x about the number e. (b) Using your…

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Q: In 1626, Peter Minuit purchased Manhattan Island from the Native Americans for $24 worth of trinkets…

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Q: 19 5-2 3s+5 + н 85

A: To find the inverse Laplace transform.

Q: Give the equation of the tangent line to the graph of the function y = ln(e+z) at x = 0. Give your…

A: equation is   y=mx+cwhere m is slope and m=dydxd dx(lnx)=1xwe know that  lne=1

Q: Given vectors u (-1,-3) and v = = (-9, 2), find u - v. Provide your answer below:

A: As we know from the definition of the dot product of the two vectors. If the given vectors are a=a1,…