Find ∫∫D(4x+5y)dA where D={(x,y)∣x^2+y^2≤1,x≥0}

Q: Problem #4: Beginning now at time t = 0 in years, the number of mice in a population of mice is…

A:

Q: 1. Ση=1_n3 +1° η n?

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

Q: Find the exact area of the surface obtained by rotating the given curve about the x-axis. X = = t³,…

A:

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.2 cm/min.…

A:

Q: dx f(x) g(x)]-

A:

Q: If f is continuous and f(x) dx = 12, find So f(2x) dx.

A: Given that To find

Q: Find the surface area of the part of the plane z=6+2x+7y that lies inside the cylinder x^2+y^2=16

A:

Q: 1. Use the Limit Comparison Test to determine whether the series below converges or diverges. List…

A:

Q: Convert the point with cylindrical coordinates 11π 13, 5 to Cartesian coordinates. Enter your answer…

A:

Q: Let g(z) = 6 Determine the most general indefinite integral of g. 1 6dz

A:

Q: For what value of x the geometric series (x-4)" 9n is convergent?

A:

Q: 16. You are designing a rectangular steel vat with a square base, an open top, and a volume of 32…

A:

Q: Suppose that we're making and selling some widget and the cost (in dollars) when making a widgets is…

A:

Q: What substitution(s) would make the following integral simpler? I.e., simple enough to integrate by…

A:

Q: Let + f² f(x) dx = 3, Find S 4 f(x) dx = -10 5 ¹ [*³ f(x) – 6 and - 3 dx = f(x) dx = 3, [ f(a) f(x)…

A: The Sum Rule:The Power Rule:The Constant Coefficient Rule:

Q: Find two positive numbers whose product is 100 such that the sum of the first and four times the…

A: Find two positive numbers whose product is 100 such that the sum of the first and four times the…

Q: Find the absolute maximum and the absolute minimum for the function x² x + 1 f(x)= x = Absolute…

A: The given function is; f(x)=x2/(x+1) , [-2.5,-1.9]

Q: Find the area under the curve y = 9x5 over the interval [0, 2]

A:

Q: Estimate the average value of f(x) from x = a to x =b using the figure. The average value of f(x)…

A: We are given a graph of function . From graph it is clear that function is continuous on [a,b].We…

Q: Evaluate the following indefinite integral. 19 / (22+4) de dx Note: Don't forget your C! And be sure…

A:

Q: Specify the period and amplitude for the function. period amplitude -20 -15 -10 -5 11111111 y…

A:

Q: f(0) = 6, f'(0) = -1, f" (0) = -11, f"" (0) = 13

A: The Maclaurin Series for a function f(x) is represented…

Q: =e*² and y = x²e² don't have elementary antiderivatives, but y = (2x² + 1)² does. Evaluate [ (2x² +…

A:

Q: [120 0230 0 0 2] O [1 20 240 0 0 2] [1 -20 -250 0 0 -2] [200 012 025]

A: The given matrices are

Q: Determine the critical numbers, if any, of the function f. f(x) = 3x² + 3x³ - 54x² - 81x + 21 Give…

A:

Q: Let h(z) -5+42-42³ 2² Determine the most general indefinite integral of h. I -5+42-423 22 dz P

A:

Q: Find the limit of the sequence: 5n²+8n+3 3n² + 8n +7 an

A:

Q: 19. What is the maximum volume of cylindrical tin can that can be made from 750.0 cm² of metal?

A:

Q: Given w = and ws. x² + y² + 6z Y x = sinp, y=p+ 3t - 4s, 2= t³ and p = 1-2t. Determine wt

A: Given that  ,

Q: Find the area bounded by y = 2 sin x, y = cos 2x from 0 ≤ x ≤ T. π. Round your answer to the…

A: Given that the region bounded by curves

Q: you alos calculate the following

A:

Q: -7 4 3+y 2 1 -6 -5 -4 -3 -2 -1 -1 -2 -5 1 2 4 X 5

A: To write the equation of the following graph.

Q: Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the…

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: Find the ninth term of the binomial expansion. (p+q) ¹¹

A:

Q: 4. Evaluate the integrals. a. b. C. Lou + 3 du +3 6². v³ +3v4 v² √2/43 -dv π/4 3 +7 (cos (0))² (cos…

A:

Q: 1. For the function g(x) graphed here, find the following limits or explain why they do not exist.…

A:

Q: Solve the initial value problem 8y" - 2y' - y = 0, subject to y(0) = -0.2, y'(0) = -0.325.

A:

Q: Find the time of flight, range, and maximum height of the following two-dimensional trajectory,…

A:

Q: A stone is dropped from the upper observation deck of a tower, 500 m above the ground. (Assume g =…

A:

Q: The function f(x) = x 4 has a Taylor series at a = 1. Find the first 4 nonzero terms in the series,…

A:

Q: 2. Evaluate the integrals. a. b. C. L (6x - e²) dx [²₁12 +2 (2 + 2y)² dy 7T/4 3 3 sec Ꮎ tan Ꮎ ᏧᎾ

A: .

Q: Find T5 (2): Taylor polynomial of degree 5 of the function f(x) = cos(x) at a = 0. T5(x) = Using the…

A: We have to find the Taylor polynomial of cosx of degree 5. Then using the Taylor Remainder Theorem,…

Q: Sketch a graph of a function f with the following properties: the function is continuous on [-5, 5]…

A: Sketch a graph of a function f with the following properties:the function is continuous on [-5, 5]1.…

Q: Suppose limx→cf(x) = 5 and limx→cg(x) = -2. Find: a. limx→cf(x)g(x) b. limx→c2f (x) g(x) c. limx→c…

A:

Q: The total revenue for a product can be calculated as the area under the demand curve. Suppose that…

A:

Q: T Find the equation of the tangent to the curve = cos³x - sin²x at the point where x =

A:

Q: Suppose the cost to make a widgets is given by C(x) = 2x² + 4x + 2. Find the marginal cost function…

A: The given cost function

Q: Find an equation of the tangent line to the curve at the point corresponding to the given value of…

A:

Q: Find the amount (future value) of the ordinary annuity. (Round your answer to the nearest cent.)…

A:

Q: derivative xy = e -xy

A: