Evaluate the double integral. √ 9x (25+ y²)-¹dA; R R is the region in the first quadrant enclosed by y = x², y = 1, and x = 0. NOTE: Enter the exact answer. [³ 9x (25 + y²)¯¹² dA = =

Q: Complete the parametric equations of the line through the point (2,-6,-2) and perpendicular to the…

A:

Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on…

A:

Q: For the given double integral, sketch the region of integration and write an equivalent double…

A: Given: I=∫1121∫y11ydxdy It means that the region bounded by the curves x=y, x=y11 from 0 to 121 is…

Q: sin 20x sin 21x dx =

A:

Q: 4. Consider the graph to the right, containing the points (0, 1) and (1, 5). A. What function is…

A:

Q: =f* √7t + 10 dt. The arc length function for a curve y = f(x), where f is an increasing function, is…

A:

Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on…

A:

Q: f(x) = 1 X-3

A: f(x)=1x-3if f'(x)>0, than f(x) is increasing if f(x)<0, than f(x) is decreasing d dx(xn)=nxn-1…

Q: Solve the differential equation y` = (196+ y)²

A: The given differential equation is: y'=196+y2

Q: Find the Cartesian equations a. r = 3 b. rsin 0-10 c. rcos 0+3=0

A:

Q: The cost of producing x bags of dog food is given by C(x) = 900+√700 + 50x²-x where 0≤x≤ 5000. Find…

A: The cost of producing x bags of dog food is given by Cx=900+700+50x2-x, where 0≤x≤5000. To find the…

Q: 1. Find the Cartesian coordinates a. 1 2 I b. -√2₁. 2 3 π

A:

Q: If x² + y² - 3xy² = -1, find dy/dx in terms of x and y. Using your answer for dy/dx, fill in the…

A: Given equation:- x2+y3-3xy2=-1

Q: 1. Find the limit limä→∞ (1 + 3 X 5x

A:

Q: 4. Find the length of the logarithmic spiral r = e ¹2 from 0=0 to 0=2

A:

Q: Sketch the region bounded by the given lines. Then express the region's area as an iterated double…

A: To sketch the region bounded by the given lines. Then to express the region's  area as an iterated…

Q: Cost, revenue, and profit are in dollars and x is the number of units. The average cost of a product…

A:

Q: Suppose that f(x) = x³ - 6x² + 15. (A) List the values of all local maxima of f. If there are no…

A:

Q: Suppose that f (x, y) = xy. The directional derivative of f(x, y) in the directional (1,-4) and at…

A: Given: f(x,y)=xy To Find: Directional derivative at point (4,-1) in the direction <1,-4>

Q: Solve yy'= -(x+2),Y(0)=\

A:

Q: Suppose a product's profit function is given by π(q) 3q² + 800q, where (q) is in dollars and q is…

A:

Q: 29. Determine the average rate of change of the function over the domain graphed. y -4 20 (-3,-5) 2…

A:

Q: 1 2 √x² x + 10x + 61 S -dx =

A:

Q: y-329 and recieved an incorrect mark. Also remember we are solving for Z so put the answer as an…

A: Given:z=7ex2-2y

Q: How do you find the absolute max and min for problem 45?

A: The given function is: y=x+x2-2x ;          0, 4

Q: Average Cost for Producing MP3s The average cost (in dollars) incurred by a media company each week…

A: Here is the solution:

Q: Solve the differential equation. 2xy + 4x + (x² - 4) dy = 0 dx

A:

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: Given function f( x ) = 36-x2

Q: find a reduction formula for the integral|x" cos x dx.

A:

Q: 1. Find the length of the arc of the curve 3 (2 x − 1)² from x = 0 to x = 8 - y = 32/2 (2x

A: Given :y=2322x-132

Q: . Find the polar equations x-3y+2=0

A:

Q: Use a substitution to change the following integral into one that can be found in an integral table.…

A: Given Integration: ∫7dvv3+lnv2

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A:

Q: (b) x dx dt 1 sin³ (15)

A: Given  x = 1sin8( t5 )

Q: Let f(x) = x4 lnx for all x > 0. I

A:

Q: Find the volume of the solid generated by revolving the shaded region about the x-axis. 6 X₁ = 1, X₂…

A:

Q: 1/9 A disease has hit a city. The percentage of the population infected t days after the disease…

A:

Q: There are two types of license plates. One of them consists of 2 upper case letters followed by 4…

A: We have to slove above question

Q: Find the point of intersection of the line through (1, -4, 1) and (4, -10, 5), and the plane given…

A:

Q: A 200-foot cable weighing 5 pounds per foot is hanging from a winch 200 feet above ground level.…

A:

Q: Connecting the Communication Device With the communication device pointed toward your home planet,…

A: Given: fx=ln8xgx=9 sin4x Red Cord: f'c Green Cord: g83π Blue Cord: f''c where, c is a constant such…

Q: 7. Evaluate the limit: lim . a. 0 b. 1 *--* C. d. T +00

A: Given: limx→ππ

Q: Find the critical point of the function f(x, y) = −8+2x+4x² + 5y-y² This critical point is a:…

A: Given f( x, y ) = -8 + 2x + 4x2 + 5y - y2

Q: LATIHAN 1 1. Obtain the cartesian equation of the curve by eliminating the parameter a. x = 3t ; y =…

A:

Q: Consider the curve 1x² - 4xy – 2y³ = 290.25. (a) Find an expression for y'. y' = = (b) P(-13.5, 3)…

A:

Q: Use polar coordinates to find the volume of the given solid. bounded by the paraboloids z = 10 - x²…

A: The solution is shown below-

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

A:

Q: For the following demand function, find (a) E, and (b) values of q (if any) at which total revenue…

A: For the following demand function, to find  (a) E, and (b) values of q (if any) at which total…

Q: Let f(x) = 7x sin(x) cos(x). Evaluate f'(x) at x = ³7. ƒ'( ³ ) =

A: I have appended the formula used in the solution part of the question

Q: The Ninth Gate You arrive at the final gate, which leads into a building-like structure. You hope…

A: