Evaluate the following integral, where R is bounded by x=2, y=3x+3, and y=-x-1. SS ² DA R Sy²dA= (Simplify your answer.) R

Q: y²dx + (3xy + y² - 1)dy = 0

A:

Q: 9. If f(c) exists and f '(c) = 0, then c is a critical number of f(x).

A: Given query is to find statment is true or false.

Q: If it is exact find a function F(x,y) whose differential, dF(x, y) is the left hand side of the…

A:

Q: 10. Determine the intersection point (if it any) of the following planes: (seonot edi Chin x+y+ 2z =…

A: Given data:- x+y+2z=-2      ----(1)3x-y+14z=6      -----(2)

Q: A 12 foot chain weighs 24 pounds and hangs from the ceiling. Find the work done in lifting the lower…

A:

Q: Use the method of reduction of order to find a second linearly independent solution 32 (a) (b) x²y"…

A: NOTE: Refresh your page if you can't see any equations. . divide both sides by x2 compare this DE…

Q: Find and compare the values of dy and Ay for the function at the given values of x and dx = Ax.…

A:

Q: Evaluate the iterated integral. In 2 In 5 S S 0 1 ,4x + 4y dy dx e In 2 In 5 SS 4x + 4y dy dx = e 0…

A:

Q: ¹ (2xy — elnx-x²) dx + dy = 0:

A:

Q: Find the average value of the function over the given interval. (Round your answer to three decimal…

A: We need to find out the average value of the function.

Q: For the problem below, is a central angle in a circle of radius r. Find the length of arc s cut off…

A: We know the arc length s cut off by an angle θ in a circle of radius r is given by, s=rθ

Q: Use a local quadratic approximation to approximate tan 61⁰

A:

Q: For a car traveling 60 km per hour (kph), the distance required to brake to a stop is normally…

A: Given, x~N(20, 32)

Q: graph of f' plotted in real time. f'(-9) = undefined f'(x) -10 -8 -6 -4 Answer: x = 15 10 5 -5 -10 y…

A:

Q: Find all points on the curve 5xy² - 10x²y = 5 where it has a horizontal tangent line. Write each…

A:

Q: At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 18 knots and ship…

A: Given 1. Ship A is 50 nautical miles due west of ship B. 2. Ship A is sailing west at 18 knots. 3.…

Q: Problem 1: Given the differential equation (xy+x+y+1) dx + y dy=0 with the condition y(1) = 0: a.…

A: Given differential equation:- xy+x+y+1dx+ydy=0

Q: 1. Find all critical numbers of f(x) = 3x4 + 20x³ - 36x²

A: Given query is to find critical points of the function.

Q: 21. k(x) = x¹ - 2x³

A:

Q: — 0 3 2x + 5 4 zx (cos¹ (x + 3y)) dydx

A:

Q: 3 Drawing Tools Draw with Touch Touch Ink to Ink to Shape Math (b) g(x)=x-lnx on [1,2] Convert (a)…

A: a) f(x)=2x3-3x2-12x+1 on [-2,3] b)g(x)=x-lnx on [1/2,2] c) h(t)=2cost+sin2t on [0,pi/2] Repost the…

Q: Due Oct 16 by 11:59pm Find d if y = √5. O √5-1

A:

Q: Find the sum of the convergent series. (Round your answer to four decimal places.) n=1 (sin(1))" X

A:

Q: At 10:17 A.M., you pass a police car at 55mph that is stopped on the freeway. You pass a second…

A: At 10:17 A.M. you pass a police car at 55 mph that is stopped on the freeway. You pass a second…

Q: 4. Convert the following integrals to polar coordinates. Then evaluate them. 1-x² A. 0 LIVE -1…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 5. How many different arrangements can be made of all the letters of the word "ACCOUNTANTS"? In how…

A: As per Bartleby answering guidelines when multiple question are posted in single picture then the…

Q: A surveying team set up some equipment 130 ft from the base of a tree in order to sight the top of…

A:

Q: [ 1 dx X x³ +1

A:

Q: Problem 2: Given the differential equation (2xy - elnx-x²) dx + dy = 0: a. Identify whether the…

A:

Q: 41. Sales saturation. The Gottahavit device is introduced in a market with 150,000,000 potential…

A: It is given that the unit sales are modelled by the following function:…

Q: Let f(x) be given by f(x) = x + sin x which is defined on [0,27]. a. Find all exact values of x for…

A: We have to find the equation of tangent at given point.

Q: In one of the rides at an amusement park, you sit in a circular "car" and cause it to rotate by…

A: Concept:We have given that car rotates as fast as we move the wheel Also every 5 seconds there is…

Q: Compute the length of the curve r(t) = (−4t, 3t + 1, -7t - 6) over the interval 0 ≤ t ≤ 3. (Use…

A:

Q: Find the maximum value of f(x) = -4x² + 5x + 6 on the interval [-20, 20]. It is attained at x = 6.98…

A:

Q: Find the derivative of the function. y' = y = 6-3x Need Help? Read It Watch It

A:

Q: at x = 7/6 = 7/6 for f(x) = cos(x).

A:

Q: Given f(x)= = - 3x + 15 x + 2 and g(x)= = - 2x + 6 x-4 - The domain is all real numbers except x =…

A:

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 1 3x -X²³- + 4 y…

A: NOTE: Refresh your page if you can't see any equations. . the given interval is  so the lower and…

Q: Product of 2 positive numbers = 54 Find the smallest possible sum of the sq of one number and the…

A:

Q: Find (without using a calculator) the absolute extreme values of the function on the given interval.…

A: Topic- Absolute extreme value of function We are given, f(x)=x3-12x2+36x+1 on [-1,2]we know…

Q: = Find the absolute maximum and minimum of ƒ(x, y) x² + y² ≤ 25. Please show your answers to at…

A:

Q: 3. Find the volume of the solid obtained by rotating the region bounded by y ==x², x=2, and y = 0…

A:

Q: For the problem below, is a central angle in a circle of radius r. Find the length of arc s cut off…

A:

Q: ·∞ 3 dx In x (Hint: In x ≤ x.)

A:

Q: A point P is given in Cartesian coordinates by P(1,1). Find polar coordinates (r, 0) of this point…

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

Q: 12. Dinosaur fossils are too old to be reliably dated using carbon-14. (See Exercise 11.) Suppose we…

A:

Q: Give an expression for f(x) of degree 3 with roots x = 8,x=-2-i, and x = -2+i. • Your final answer…

A:

Q: Find all values of x for which the series converges. (Enter your answer using interval notation.) n…

A:

Q: Solve the equation on the interval 0 ≤ 0 < 2. 6 cos ²0 = 3 What are the solutions in the interval 0…

A: Given  6cos2θ=3So, cosθ=12

Q: Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an…

A: