=valuate the double integral [2aydA, 2xy dA, where D is the triangular region with vertices (0,0), (1, 2), and (0, 3).

Q: 19. A rectangular storage container is to have a volume of 44 m³ and has a lid. The length of its…

A: This question can be solved using the concept of maxima and minima.

Q: What is the distance between the point (-2, 5, 3) and the z-axis?

A:

Q: Solve the following ODES by Inverse Operator method (-1) A (D² - 2D +1) y = x e sinx X Ans, Y CÁCếtế…

A: Solve ODE by an inverse operator. Given information: The differential equation is D2-2D+1y=xexsinx

Q: 2. Calculate (4x³ – 6x² – 14) (x + 6) using long division. Show your work! -

A: Perform long division method

Q: Plot the point whose polar coordinates are given: (4, 3π/4). A) B)

A: Given point 4,3π4. Let us plot it in Polar coordinates

Q: Use the information below to sketch the function. There is a horizontal asymptote at f(x)=1 The…

A:

Q: x) = y" - y² + ²y = 4 + = 4 + ex/2

A: We will solve  the given differential equation.

Q: Pectangular coordinates of a point are given. Plot the point. (-4, 3) y

A: NOTE: Refresh your page if you can't see any equations. . the given coordinate is

Q: Use the Comparison Test to determine whether the series converges. sin²(n) n² Identify b, the series…

A:

Q: roo dx X² O

A: We will find the given integral.

Q: Find a function of the form y = A sin(kx) + Cor y = A cos(kx) + C whose graph matches the function…

A:

Q: Question 2 a) The following differential equation of y(t) is solved by Laplace transform. d²y dt² dy…

A:

Q: 6r (x²+3)²¹ 14. Given f(x). f'(x) = ²+3 (m). Write "none" where appropriate. (a) Domain of f: (b)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A force of 480 newtons stretches a spring 3 meters. A mass of 40 kilograms is attached to the end of…

A:

Q: Solve the given differential equation by undetermined coefficients. y" + 16y = 5 sin(x) y(x)

A:

Q: Use a triple integral to find the volume of the solid bounded by the parabolic cylinder y = 6x² and…

A:

Q: find the vertical asymptotes of the graph of the function f(x)=ln(x+3)

A: x=a is said to be a vertical asymptote of a function y=f(x) iff as x tends to a f(x) tends to ∞ or…

Q: Determine the intervals on which the graph of y = f(x) is concave up or concave down, and find the…

A:

Q: The indicated function y(x) is a solution of the associated homogeneous equation. Use the method of…

A: The given equation is;  y''-3y'+2y=5e3x.

Q: Find the direction cosines and direction angles of the vector. (Give the direction angles correct to…

A: Solve the following

Q: [ (x²ex - 12/²7/1₁) dx x + 1,

A:

Q: 3 Factor (x + 7)³ + (− 3x + 1)³. Show all your work.

A:

Q: Consider the following. U = 7i + 6j, v = 2i + 4j (a) Find the projection of u onto v. (b) Find the…

A:

Q: Find the area of the surface generated by revolving the curve about the given axis. (Round your…

A: Solve the following

Q: Let f(x) = (x²-5)e¯* (x > 0). Find the critical points c that correspond to local minima. (Use…

A:

Q: Ferris wheel with radius of 30 ft and center that D(t) is 45 ft off the ground. 30 25 20 15 10 ДЛА 5…

A: Given: Ferris wheel with radius 30 ft and center that is 45 ft from the ground.

Q: Find the general solution of the given higher-order differential equation. y"" - 3y" - 4y = 0 y(x) =

A: Given :y'''-3y''-4y'=0

Q: (d) Horizontal asymptote(s): (e) Interval(s) where f is increasing: (f) Interval(s) wehre f is…

A:

Q: A circular plate with radius 7 m is submerged vertically in water as shown. Express the hydrostatic…

A:

Q: 5. Find the volume of the solid of revolution formed by rotating the finite region bounded by curves…

A: Given :Curve :y=x-1 y=x-12

Q: Let f(x) = (x - 11)3/5. Find the critical points c that correspond to local minima. (Use symbolic…

A: topic - critical points , Local extrema and points of inflection

Q: The graph shows a city's daily rate of use of electricity (in millions of kilowatts). Estimate the…

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A:

Q: 1. 2. Use the law of sines and/or law of cosines to solve the following triangle. SHOW ALL WORK! If…

A:

Q: f(x) = { cos x, xpi  which lim does not exist

A:

Q: 4. A rectangular sheet of metal with dimensions 20 cm by 15 cm is to be used to create an open top…

A: According to given, Height of the box(h)= x Length of the box(l)= 20-2x Width of the box(b)= 15-2x…

Q: Match the graph of the above function with the graph of its derivative. O O O O O Customize and…

A: Given Graph

Q: Find k, given f(x, y) = k(y² + xy) and [ [ f(x, y) dxdy = 54 R R=0 < x < y < 2

A: Given problem:- Find k, given f(x, y) = k(y² + xy)  And ∫∫R f(x, y) dx dy=54 where R…

Q: Find the general solution of the given differential equation. dy dx y(x) = = 3y 3y² 2 + Cx Give the…

A:

Q: 5. Find the 6th term of the recursive sequence defined by a₁ = 0, an+1=2a₁ +3.

A:

Q: 1 -1 √4-x Evaluate the improper integral: Sª₁ dx

A:

Q: Is a then the distance from a point P to the line L is equal to the length The component of the…

A:

Q: A rectangular field is to be enclosed on four sides with a fence. Fencing costs $7 per foot for two…

A:

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A:

Q: Decide if the given value of x is a critical number for f, and if so, decide whether the point for x…

A:

Q: Tutorial Exercise Find the slope and y-Intercept (if possible) of the line. 11x - 12y = 60 Step 1…

A:

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

A:

Q: Determine the area of the region bounded by x = y² + 1, x = 5, y = −3 and y = 3.

A:

Q: 5. Force due to hydrostatic pressure. A lobster tank in a restaurant is 1.25 m long by 0.5 m wide by…

A:

Q: ether the following series converges or diverges. In the case of convergence, state whether the…

A: