Evaluate I fe(sin x + 2y) dz + (9z+y) dy for the nonclosed path ABCD in the figure. = D A= (0,0), B=(5,5), C=(5, 10), D= (0,15)

Q: Use the limit definition of partial derivatives to find fx(x, y) and f(x, y) f(x, y) = x² - 2xy + y²…

A:

Q: What is the nominal rate of interest compounded monthly if the effective rate of interest on an…

A:

Q: Find the distance from the point (-4,-7,-5) to the line a(t) = ( − 4, 5, 2)t + (2, 4, — 5)

A:

Q: Find a set of parametric equations for the tangent line to the curve z = x² + y², z = 36 -y, (6, -1,…

A:

Q: Solve the given differential equation. ex² dy=x√/9-ydx Choose the correct answer below. =9-²+C 4 ○…

A:

Q: (b) Find the sound level of a vacuum cleaner if its intensity is 10 times Io. The sound level of a…

A: We have to find sound level by using log formula.

Q: Solve the given differential equation. √√x² + y² dx - 4ydy = 4xdx Choose the correct answer below.…

A:

Q: The height​ (feet) of a ball launched in the air t seconds after it is launched is given​ by:…

A: The height (in feet) of a ball is launched in the air t seconds after it is launched is given​ by…

Q: -5-4-3-2 5 lim #112 A 3 2 1 + -2 3 -5+ 1 2 3 4 5 Determine the following values. Enter "DNE" if a…

A: Given: From the above figure,             limx→-2-f(x)=∞limx→-2+f(x)=∞limx→-2f(x)=∞f(-2)=4

Q: Find the critical points of the following function. f(x) = 9x 2 x² +81 Select the correct choice…

A:

Q: 23. What statement is not true? f(x) = #+3 if z>0 if a ≤ 0 a. limf(x) = 3 x →0* b. limf(x) = 0 _0个x

A: f(x)=x+3   if x>0-x     if x≤0

Q: (a) Use the definition given below with right endpoints to express the area under the curve y = x³…

A:

Q: (a) Find an equation z = x² - y², of the tangent plane to the surface at the given point. (3, 2, 5)

A:

Q: For the function f(x) = 4x² - 5x+5, find f'(x). Then find f''(0) and f''(3). f''(x) = (Simplify your…

A: The given function is f(x)= 4x2-5x+5, find f''(x). than find f''(0) and f''(3).

Q: Sketch the region of integration and evaluate by changing to polar coordinates: 10 f(x) L L For…

A: To find:- ∫510∫0fx1x2+y2dydx fx=10x-x2

Q: Consider the following power series. Let a = lim LIM R 11 (-1)*(x-8)* ku 11k (-1)* 11k (x-8)*. Find…

A: Solution will be given below

Q: Find the derivative of y = x² cot-¹(3x).

A:

Q: find the revolution of the solid of revolution generated by revolving the region bounded by y=ln(x)…

A:

Q: Integrate the following function with respect to x using partial fraction 2x - 3 r2 – 52 +6 and…

A: Given: ∫012x-3x2-5x+6dx

Q: 1. Find all critical numbers of the function f(x) = 1/3 sin (6x) -x, on the interval 0<x< Show all…

A:

Q: x(t) = Find a plane containing the point (4,7,-4) and the line y(t) z(t) = = −4+t 2- 7t - 38t

A:

Q: Video Example Evaluate = √√√elt². Solution e(x² + y² + z²j3/2 where B is the ball: B = = {(x, y, z)…

A:

Q: 5. The Cobb-Douglas production function for a new product is given by P(x, y) = 10x406, where x is…

A:

Q: Graph the curve, y=x²/3 + 1 1/3 X Explain the relationship between the curve's formula and the graph

A:

Q: Use the ㅎㅎ

A: Given differential equation dydx=15yx+cosyx15

Q: Sketch the solid whose volume is given by the integral below and evaluate the integral. -π/6 •π/2 9…

A:

Q: Find f(x) if f"(?) = 12x^2+6x−4 and f(0) = 4 and f(2) = 10

A: f''(x)=12x2+6x-4f(0)=4f(2)=10∫xndx=xn+1n+1+c

Q: Water, at the rate of 12 cubic feet per minute, is pouring into a leaky container whose shape is a…

A:

Q: Draw the line with an x-intercept of -7/4 and a y-intercept of 3/2

A:

Q: Which of the following quadratic equations has imaginary solutions? A B C D 3x²-8x+6=0 3x² + 20x-7=0…

A: Given query is to find which quadratic has imaginary solution.

Q: Given Cost and Price​ (demand) functions C(q)=110q+40000 and p(q)=−2.3q+950​, what is the marginal…

A: Given Cost and price function:- Cq=110q+40,000pq=-2.3q+950

Q: The total cost of producing x laser pointers is C(x)=10+√(3x+24) Find the marginal cost at each…

A:

Q: ) Derivatives of trigonometric function and inverse trigonometric functions 6) Differentiate y 2 cos…

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

Q: For the function f(x)= 5x x-4 find f'''(x), the third derivative of f, and f(4) (x), the fourth…

A:

Q: Determine whether the series is convergent or divergent by expressing the nth partial sum s as a…

A: We can prove the convergence by using nth partial sum of the given series.

Q: Use the table to evaluate the following limits: f(x) 4 -23 lim f(x)- lim f(x)= lim_ f(x)= 45 Submit…

A:

Q: Match each of the trigonometric expressions below with the equivalent non-trigonometric function…

A:

Q: Find the volume of the solid whose base is the region in the xy-plane that is bounded by the…

A:

Q: A restaurant purchased kitchen equipment on January 1, 2017. On January 1, 2019, the value of the…

A: The given modeled is: Vt=14550 e-0.16t On January 1, 2019, the value of the equipment was $14,550.

Q: Find the arc length of the curve y (x = O O O O 4 3 O 8 5 7 + from x = 0 to x = 3.

A: y=(x+59)32 from x=0 to x=3arc length(L)=∫x1x21+(dydx)2dxd dx(xn)=nxn-1

Q: Write an iterated integral for described to the right using a. vertical cross-sections, b.…

A:

Q: Justify parts a-d with a 2) Given: f(x)=x+3 a) Find all intervals of increase and decrease. b) Find…

A:

Q: x(t) Find a plane containing the point (8,-4,8) and the line y(t) = z(t) = = || - 4 - 6t 6+t - 5+ 4t

A: It is given that, The plane contains the point 8,4,-8 and the lines x=-4=6t, y=6+t and z=-5+4t.…

Q: Find the equation of the line tangent to the graph of f(x) = (In x)5 at x = 5.

A:

Q: Sketch the graph of a single function that has all of the properties listed. a. Continuous and…

A:

Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 7…

A: As we know that x = rcosθy = rsinθ

Q: Find the extreme values of the function f(x,y,z) = 5xy + 5z² on the circle in which the plane y - x…

A:

Q: A typical dish antenna is built as a surface of revolution obtained by revolving a parabola about an…

A: We to find the surface area of the surface in terms of R and K

Q: 10) Consider the following two functions p(t) = and 7e-2)-7 t-2 P: R R if 0 2 q: R→R q(t) =…

A:

Q: The total cost (in hundreds of dollars) to produce x units of perfume is C(x)- 8x-1 6x+7 (a) Find…

A: Given, C(x)=8x-16x+7