(b) Determine the following integrals: 3 (i) S. 2 x x² - 1 dr

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

A: We have, y=x2 , y= 2x, about the line x= -1

Q: What is 7.8% of 220

A: X % of Y = Y × x100

Q: 10Let C be the curve defined by the parametric equations x = t^3 - 3t + 2 and y = 3t^2 -9. a.…

A: As per guidelines we support only Frist three part of the questions.kindly repost in next request.

Q: Use the chain rule to find and, where First the pieces: дz ?х ?х дя ду Əs = дz Ət || = And putting…

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Q: дz дz Use the chain rule to find and მs at z = ln(3x + 4y), x = s sin(t), y = t cos(s) дz as дz at…

A: z=ln3x+4y , x=s sint , y=t coss

Q: Find all the first and second order partial derivatives of f(x, y) = 6 sin(2x + y) — 2 cos(x − y).…

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Q: 2. A manufacturer wants to make cylindrical cans. Each must be able to hold 1200 cubic cm ofliquid.…

A: Let radius of cylinderical cans=x cm Let height of can =h cm

Q: a. AOR: y = 0 b. AOR: x=0 c. AOR : x = 2

A: Since you posted multiple subparts, I need to solve only first three subparts.

Q: Find the maximum and minimum values of the function f(x, y) = xy subject to g(x, y) = x² + xy + y² =…

A: Objective function fx,y=xyConstraint function gx,y=x2+xy+y2-108

Q: Find following definite integrals: x² 1+r (1) L'a (3) ₁ (x³ arccos x + xe do Jdx (4) (2) # √ ²…

A: Note :  Since you have posted a question with multiple subparts, we will provide the solution only…

Q: company has revenue function R(x)=8000x-40x2-x3 (in dollars) wehre x is the number of items sold. A…

A:

Q: The demand function for device model PWX641 is given by p(z) = 510-0.792², where p is the unit price…

A: Given demand function  p( x ) = 510 - 0.79x2 Given data  dpdt = 6 dollarweekp = $194

Q: The percent p of prescriptions filled with generic drugs at a large pharmacy chain from 2008 through…

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Q: (1) For what values of x are the following functions continuous? Show work. (6 3x a) f(x) = 2cosx-1…

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Q: Find the mass of the two-dimensional object. An oversized hockey puck of radius 5 in with a density…

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Q: (b) J 32+3 22²-2-1 dx

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Q: Suppose that lim an = 5 and lim bn = 9. n-0 n→∞ Determine the limits. lim (an + bn) = n→∞o lim a =…

A: We are given that limn→∞an=5 and limn→∞bn=9.We need to find the given limits.

Q: 8. Find 7. || = 23 55° || = 31

A:

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

A:

Q: Let T denote the Nth trapezoidal approximation to 0 x³ dx.

A: Integration of x3dx limit from 0 to 1  We have to find T3  .i.e 3rd trapezoidal approximation

Q: that the indicated family of functions is a solution of the given differential equation. Assume an…

A: The given differential equation is;  d2y/dx2 - 6dy/dx + 9y=0

Q: Find the distance from the point to the line. P(1,9,9); x = 1+8t, y = 9 + 5t, z = 9 The distance is…

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Q: Solve the given equation 3e*+2 = 75

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Q: Given f(x) = 3x + 7 9x² 5 A) Find lim f(x) ° x→∞ B) Find lim f(x) ° x118

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Q: 2. Determine the cartesian equation for a line that passes through the point (4,-3) and is…

A: The line passes through the point 4,-3 and is perpendicular to the line r→=2,-3+t5,-7 Therefore, the…

Q: An espresso stand finds that its weekly profit is a function of the price, , it charges per cup. If…

A: An expresso stand finds that its weekly profit is a function of the price, x,…

Q: Find the distance from the plane 6x+y+7z=54 to the plane 6x+y+7z=30 The distance is d= (Type an…

A: given planes are 6x+y+7z=54 and 6x+y+7z=30

Q: Without using symmetry, determine a definite integral that represents the area of the region…

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Q: Use the Shell Method to compute the volume of the solid obtained by rotating the region in the first…

A:

Q: The equation for the price of a television, based on the demand, is P(x)=175-0.4e0.001x What should…

A: The equation for the price of television based on demand is P(x) = 175 -0.4e0.001x. Our task is to…

Q: Problems In each of Problems 1 through 11: a. Seek power series solutions of the given differential…

A:

Q: [ f(x) dx 3 Given that 1 ≤ f(x) ≤ 4 for 3 ≤ x ≤ 7, estimate the value of ] ≤ [ f(x)da <

A: Estimated value formula m(b-a)&lt;=int_a^b f(x) dx&lt;= M(b-a)

Q: horizontal asymptote (c) Describe the end behavior of the function. End behavior: y y → as x → ∞ as…

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Q: Show every step to solve the problem. Solve question subpart D ONLY.

A:

Q: 6. Given u = a. Su - b. ū c. v [2, -5]and V V = [-7,2] find

A: 6) Given u→=2,-5 and v→=-7,2

Q: Use the Shell Method to find the volume of the solid obtained by rotating region above the graph of…

A:

Q: Use polar coordinates to find the volume of the solid below the paraboloid z = 50 - 2x² and above…

A: Here we use the polar coordinates;

Q: Consider the function are true? 1. lim f(x) = 70 II. lim f(x) = 70 III. lim x) = 100 X-8 IV. lim x)…

A: Given function f( x ) = 100 - 12000400 + 3000axWhere a &lt; 0 &lt; 1

Q: The rate (in liters per minute) at which water drains from a tank is recorded at half-minute…

A: The rate at which water drains from a tank is recorded at half minute intervals ∆t=0.5

Q: Which of the following could represent an exponential function of the form y=f(x) = A.bx, where b>1?…

A: We need to find correct option.

Q: 2 Find the curvature of the parabola given by Y = X = = x ² a+ x=2 Sketch the circle of curvature at…

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Q: Use the table to the right to find the given derivative. d[ f(x) dx x+3 x=4 f(x) [X3] (Simplify your…

A: Given that ddxfxx+3x=4

Q: Which of the following is not a differential equation? d²y = 12 +2 O A. dt² O₂ B. O C. D. 4+y = 2x +…

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Q: 3. The following equation relates to how an investment will grow over time given an initial amount…

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Q: For the angle 0, find the following. (a) tan (0) (b) cot(0) (c) sec(0) (d) csc(0) 37 (-12,-35) y 0

A: Figure

Q: y = sin x, y = cos x, T - and the y-axis

A:

Q: Variant 4 (extra). 1. Find the partial derivatives of: =(x,y)=9sin x-5x²y³ +7+ ycos.x+e¹

A: Z(x,y)=9sinx-5x2y3+7+ycosx+ey

Q: 14x^2-13x-12 using box method

A:

Q: Rpup (hur +81 0=1²² x=h₁ б E I =

A:

Q: swer the following ston based -2 f f(x) d -2 -1 of's 0 f's 2 214 f(x) dx = [a] -1 -2 f(x) dx = [b]…

A: a)∫-20fxdx