Find the mass of a lamina bounded by y = 2√√√x, x = 1, and y = 0 with the density function o(x, y) = =x+3

Q: Q 7. Solve the linear differential equation (x-2)dy+y=(x-2)² dx

A: To solve the linear differential equation, x-2dydx+y=x-22.

Q: Write a polynomial f(x) that satisfies the given conditions. Polynomial of lowest degree with zeros…

A: Given: Polynomial of lowest degree with zeros of -1(multiplicity 1), 2( multiplicity 3,)and  f(0)=16

Q: What is the exact value of cos (sin-¹ (-¹)) + tan−¹ (cos (π))? 2√3-* 4 -2√√/3-T 4 2√3+* 4 -2√3+* 4

A: K=cos(sin-1(-12))+tan-1(cos(π))we know  cos(-x)=cosxsin(-x)=-sinx

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Q: wait so for b) the given point is 1?

A: The answer is in step2.

Q: 25. g(t) = 1² + √t, f(x, y) = 2x + 3y - 6

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Q: rough 8 is 14. Show that any separable equation ) y' = 0 roblem d. given brem sible M(x) + N(y) y' =…

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Q: Graph the following equation using reflections and shifts. f(x) = -(x + 1)3-2 O

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Q: Suppose that f is a function given as f(x) = 2x² + 5x. Simplify the expression f(x + h). f(x + h) =…

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Q: 11) y = 1 1- x solves y' = y2

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Q: Find the intervals on which f is increasing and decreasing and the local maximum and minimum values…

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Q: Find the volume V of the solid E enclosed by z = 4 - y², z = 9 - x, x = 0, and z = 0. (Give an exact…

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Q: Jasmine invests $1,306 in a savings account with a fixed annual interest rate of 7% compounded…

A: Solving the following problem number 26

Q: Find a positive number a such that the sum of 4x and is as small as possible. X = Does this problem…

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Q: (x) = 5x(2x* _ _5 f'(x) = help (formulas) Given f(x) = 5x 6), find ƒ'(x). x+6)

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Q: Volume of a Cube The volume V of a cube with sides of length x in. is changing with respect to time.…

A: Given that , Side of the cube x=2 in Rate of change dxdt=0.4 in/s Find dVdt=?

Q: Suppose (1, 1) is a critical point of a function f with continuous second derivatives. In each case,…

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Q: 6. 1 2012

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Q: Find f'(x). f(x) = 3x - 5 In x6 f'(x) =

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Q: iven f(x)=-x²+6x²-9x+4 Find the locations of all local maxima and minima using the second derivative…

A: Given f(x)=-x^3+6x^2-9x+4

Q: t an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds of…

A: According to our company's guidelines I can only answer first three subparts of the question since…

Q: (a) In these examples you will need to enter exact answers. When you click on the answer field, the…

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Q: Use the Factor Theorem to determine whether x - c is a factor of f(x). f(x) = x³ + 6x² - 14x + 16; x…

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Q: The function f(x)= |x|has a derivative at x=0.

A: Given f( x ) = | x | has a derivative at x = 0

Q: Question Find the exact value of ₁² x+1 x(x²+1) Select the correct answer below: T O 2 In(4) - In(5)…

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Q: Find the length of the curve r(t) = (4 cos (t), 4 sin(t), 3t) for -10 ≤ t ≤ 6 Give your answer to…

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Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. 4n² + 7n +9 3n²…

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Q: f(x, y) = √5x² + 4y² fa(2, 1) =

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Q: The actual temperature inside an oven varies around the selected temperature. This variation can be…

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Q: For the system of three planes: -4x + 3y + 2z = 2; 4x - 3y - 2z = 2; and 2x + y - 4z = -16; a) Are…

A: Given For the system of three planes:  -4x + 3y + 2z = 2;  4x - 3y - 2z = 2; and  2x + y - 4z = -16;

Q: 749 11 12 13 14

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Q: Consider the following game: A B Left Right Top 4,2 1,1 Bottom 2,0 3,2 Select all Nash Equilibria in…

A: we need to find the nash equilibrium in pure strategies.     Left Right Top 4, 2 1, 1…

Q: When a new product is advertised, more and more people try it. However, the rate at which new people…

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Q: 5 - S₁² V(t) = 200e-0.03t dt

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Q: Let yk +...+a, (x)y'+a (x) y=0. Then the linear combination y=c₁y₁+c₂y₂+...+ cyk where the c,, i=1,…

A: For the following problem,

Q: Consider the equation. f(x) = 3x² at (-2, 12) (a) Find an equation for the tangent line to the graph…

A: Here we have to find the equation of tangent and normal line.

Q: A smokestack deposits soot on the ground with a concentration inversely proportional to the square…

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Q: Find the curvature of the curve r(t). . r(t) = (6t + 9)i - Zj + (2 – 3t)k - 7 = 1 6(1+12)3/2…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

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Q: Find the dimensions of the box with volume 4096 cm3 that has minimal surface area. (Let x, y, and z…

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Q: The functions y₁ = x³ and y₁=x4 are solutions of x²y" — 6xy' +12y = 0 on the interval (0, ∞ ). Which…

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Q: Consider r(t) = (-4-5, 2e-5t, -3 sin(2t)). Find [ r(t)dt = {{ > " [F(t)dt. Don't include the +Č.

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Q: K Find the derivative of y with respect to 0. y=In (5 cos ³0) ᏧᎾ · ||

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Q: Assume that f(x) and g(x) are differentiable for all x. 2f(x) g(x) + 7' h'(x) = help (formulas) Let…

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Q: Evaluate the double integral  SSDxydA where D is the triangular region with the vertices (0,0)…

A: ∬DxydA, where D is triangular region with vertices (0,0), (3,0) and (0,1).

Q: Determine all of the solutions in the interval 0° ≤ 0 < 360°. (Enter your answers as a…

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Q: What is the used of limit? Why do we need to find the limit of a function? Why is it that the limit…

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Q: The distance of a swinging pendulum from its resting position is given by the function d(t)=…

A: d(t)=3.5cos(5t)we know the maximum value of cos fuction is 1

Q: The marginal profit for a certain style of sports jacket is given by P(x) = 69 -0.28x dollars per…

A: Given query is to find the profit for the first 62 jacket.

Q: Find the double integral by changing to polar coordinates. (Express numbers in exact form. Use…

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