Find the mass of the lamina described by the inequalities, given that its density is p(x, y) = xy. 0≤x≤ 8,0 ≤ y ≤ 8

Q: Let F(x, y) = (x - y)i + (x² + y2)j be a vector field. Use Green's Theorem to compute F dr, where C…

A: The given vector field is:F(x, y)=x-yi+x2+y2j

Q: Problem 2.A model for the basal metabolism rate, in kcal/h, of a young man is R(t) = 85-0.18…

A: The solution is shown in step-2

Q: 91. fax + (x + 5) dx √4-x²

A:

Q: Evaluate. Then interpret the result terms of the area above and/or below the x-axis. ܗܐ (x²-3x) dx…

A: ∫-321x3-3xdx Graph

Q: Find the exact simplified solution to the equation below so that 0 ≤ t ≤. 1 + tan(t) sin(t) t = 0 X

A: tan (π - x) = - tan(x)

Q: derivative of the inverse sine

A: Find derivative of the Inverse sine

Q: 43. lim (sin t)(ln t) t → 0+

A:

Q: solve the initial-value problem y'=4sin(x)/sin(y), y(0)=pi/2 please also show the graph

A: Given initial value problem y'=4sinxsinyy(0)=π2

Q: Find a function y(x) such that 2yy' = x and y(2) = 6. y

A:

Q: The acceleration of an object (in m/s²) is given by the function a(t) = 8 sin(t) The initial…

A:

Q: sin 4x x 0x² + 3x + 1 → 7. lim

A: We need to solve limit problem.

Q: 1. Polar coordinates. A) Find the region D* in the (r, 0) plane corresponding to the region D…

A:

Q: Find the orthogonal decomposition of v with respect to W. *-[-]-~-(-³) V = -3 W = span projw(v) =…

A:

Q: uestion Completion Status: If the cost of selling y yards of fabric is given by C (y) = O O 10 3y 3…

A:

Q: find a power series representation for the function. determine the interval do convergence. (give…

A:

Q: Simplify. cos(-0) cot(-0) csc (0) -cos²0 --sin²0 O cos²0 O sin²0

A:

Q: A poster needs to contain 48 in^2 of print and has left and right margins of 1 in and top and bottom…

A: Assume that, x = length of the printed space y = height of the printed space Then, Breadth of the…

Q: T Calculate the velocity and acceleration vectors for the helix c(t) = (7 cos(t), 7 sin(t), 4t) at t…

A:

Q: Give the equation for the function whose graph appears above. Use f(x) as the output.

A: We need to find equation of function.

Q: Show that the limit does not exist x^4-18y²/x² +9y²

A: We have to find if the limit exists.

Q: Given that sin(20)? sin0 = = 1 0<0<= /₁ 3 and 2, what is the value of

A: given sin(θ)=13 and 0&lt;θ&lt;π2

Q: The graph of f is shown below. Evaluate each integral by interpreting it in terms of areas. 100 2 1.…

A:

Q: Find all the zeros of the function f(t) = 5 + ³ + 2²-12t+8 Use the paperclip bu

A:

Q: Evaluate the integral •(3+7 by interpreting it in terms of known areas. I = (3+7x) dx 1. I = 2. I =…

A: We have to evaluate the integral…

Q: Graph both functions on one set of axes. f(x) = (2)* and g(x) = 1.5* -4 -2 -2 y 6 2 y 6 4 2 2 2 4 X…

A:

Q: A) The Marginal Cost function: MC(q) = B) The Marginal Revenue function: MR(q) = C) The Marginal…

A: According to bartleby guidelines we supposed to do the first three subparts of multiple subparts…

Q: Give a possible formula for the function below. Let A = (1, 12) and B = (2, 48). Use the general…

A: given, A=(1,12)  and B=(2,48)

Q: 18. Suppose P(A) = 0.3 and P(AUB) = 0.5. Find P(B) under each of the following additional…

A:

Q: Determine the area of the surface S: z = x² + y², 0≤z≤9.

A: To solve the following

Q: 1. Find the area under the curve y = e2x over [0,3] as an exact value and as a decimal approximation…

A: The given curve is:y=e2x          over 0, 3

Q: Use the basic building block ¯xª, |x| < 1, together with the properties stated in n=0 this section…

A: Given that:11-x=∑n=0∞ xnThe given function is:g(x)=31-x4

Q: 6 in 5 4 3 -8 -7 -6 -5 -4 -3 -2 -1 19 A 7 -2 -3 -4 -5- -6 + 1 2 3 14 6 Identify the function whose…

A:

Q: 3x cos 0 = -√³, where π ≤0 ≤ ³7. tan = where 0 ≤B≤ What is the exact value of sin (0+3)? Enter your…

A:

Q: 48. lim xsin x x →0+

A: We need to evaluate limit.

Q: [0,1] Find the maximum and minimum values of the function g(0) = 30 - 5 sin(0) on the interval…

A: For maximum and minimum then the first derivative is zero

Q: 6-6x xp = 8+

A: The given indefinte integral is:  ∫x8x9-9 dx

Q: (a) y=In, X-4 2x+5

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

Q: tan (cos¹x)

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) S -3 (+²+3)3/2 dx

A: Indefinite integral Where C is an constant

Q: The two numbers are (Simplify your answer. Use a comma to separate answers as needed.)

A: Product of the two number is maximum then the first derivative is zero

Q: For the point (r, 0), r is the [Select] [Select] [Select] directed distance directed angle from O to…

A: For the point r,0, r is the __________ from O to P and 0 is the _________ counterclockwise from the…

Q: Consider the following integral. (Use C for the constant of integration.) [x√² x√5 - x dx (a)…

A:

Q: Apr 20, 8:14:49 PM The functions f(x), g(x), and h(x) are shown below. Select the option that…

A:

Q: 3 Find the absolute maximum and minimum values of the function over the indicated interval, and…

A:

Q: Consider the function f(x) = 2x³ – 15x² 36x + 6 on the interval [-6, 10]. Find the average or mean…

A: Given: f(x)=2x3-15x2-36x+6 We are required to: Find the average or mean slope of the function f(x)…

Q: √3 sin(0 + π) What are the solutions for the equation cos(0 + π) = ?

A:

Q: Find the particular antiderivative of the following derivative that satisfies th dy dx = 6x 2+5x +…

A:

Q: Assume x and y are functions of t. Evaluate y = -3. dy dt (Type an exact answer in simplified form.)…

A:

Q: ck market fell

A: Your Roth IRA balance on March 23, 2020 was P=$564,007.50. The percentage of fell from February 12,…

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: The profit function is given by P(x)=R(x)-C(x)P(x)=50x-0.1x2-(5x+15)P(x)=-0.1x2+45x-15