Solve the equation (y - x + xy cot x)dx + xdy = 0

Q: Find the slope of the polar curve at the indicated point. TT 7) r = 5 cos 30, 0 =

A:

Q: Give your answer correct to Use differential to estimate the value of y 4.01 V4.01 8. four decimal…

A:

Q: Find the limit, If it exists. x- 1 lim X---

A:

Q: Use the graph of the parabola to fill in the table. (a) Does the parabola open upward or downward? O…

A:

Q: 3 1 - dx 2 2. cos sin X

A: solution:-∫cos4xsin3x1x2 dxlet 1x=t-1x2dx=dt=-∫cos4tsin3t dtWe know that the formula  2cosAsinB =…

Q: Finding the work done in lifting a leaking bag of cement. A bag of cement originally weighing 143 lb…

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim t-0 eSi + sin(2t). -) +…

A:

Q: Biologists stocked a lake with 280 fish and estimated the carrying capacity (the maximal population…

A: We need to estimate the carrying capacity.

Q: Determine whether the series is convergent or divergent. If it is conve 00 2 (cos(26))k k = 1 Step 1…

A: Cos (26)= 0.647 Convergent Find the sum of series

Q: Match each graph type with its corresponding function.

A:

Q: Find div F and curl F if F(x, y, z) = xªi – 2j + yzk. div F= curl F=

A:

Q: The temperature in degrees centigrade (◦C) at each point (x, y) on a curve 2x + y = 3 is given by…

A:

Q: a) Find the general solution to the differential equation f"(x) = e8x + 3x – 1 1.

A:

Q: Solve using product rule d(uv) = u dv + v du: f(x) = (x^2 + 4) (x^4 – 4x^2 + 16)

A:

Q: Ay (2, 4) y = 2x y = x2 2. Using a vertical element of area, the area of the shaded region is given…

A:

Q: Write z1 and 22 in polar form. 21 = -36, z2 = V3 +i Z1 Z2 Find the product z1z2 and the quotients 2…

A: Let's find.

Q: Let v=f(x) be a solution of the first order linear differential equation y'=y-10x? such that f(0)…

A: The given problem is solved below in detail..

Q: Instruction: Create 1 example problem about Area Region Bounded by Different curves. Write the…

A: This question can be solved using the concept of area bounded by curves.

Q: 1 2 3 4 f(x) f'(x) g(x) 4 1 2 3 2 4 2| 3 (x),6 2| 1 4 1 4 3 h'(4) if h(x) = f(x)•g(x) f(x) h'(4) if…

A: Our Aim is to find h'(4) with the help of table and three conditions given below:-(i)…

Q: P6: x2 x² – 1

A:

Q: 16X

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 6- Give ā = [A, B]and b = [F,E], find VProj(b onto ā) and SProjd onto b). Resolve d into…

A:

Q: 4. A live oak tree casts a shadow 58 feet long, Find the height of the tree if the angle of…

A: Here is the solution:

Q: Use the graph of the parabola to fill in the table. (a) Does the parabola open upward or downwa O…

A: a.   Parabola opens downward   b. Coordinate of vertax. Is (-2,-3)

Q: Select all that apply. Select the functions whose value is zero. sec 270° Csc 360° tan 90° cos 270°…

A:

Q: Еxample 5 1 1- Vxdx ха 0,

A:

Q: 3. Find the binomial series for (1+x)3 4. Use the result in problem 3 to give a power series…

A:

Q: 6. Which of the following integrals cannot be evaluated using integration by parts? A. ſe-*sin2x dx…

A:

Q: x" Find radius and Σ Va3" 9. convergence and interval for this series n=1 n

A:

Q: solve with complete solution, tell whether the improper integral is convergent or divergent

A: Yes the improper integral is convergent. see below the answer and calculation

Q: After substitution is performed, which of the following is equivalent to xV4x² + 9 dx? 25 du 8. 25…

A: Here is the solution:

Q: Set up and simplify the surface integral ∬S F dS where F(x,y,z) = 2xi + yzj - √y k and S is the part…

A:

Q: 1. A soccer ball is kicked with a speed of 75 mph at an angle of 30° from the horizontal. Write the…

A: Given query is to find the velocity components.

Q: Evaluate the following Integrals: sin(4t) – 3 sin(2t)² dt 5 Vsech(4x) tan (4x) dx 1. 6. 7. sinh 3y…

A:

Q: The integral of the given function S dx is equal to 4+x2 a. 0.116 b. 0.611 c. 0.117 d. 0.161 e. None…

A:

Q: 1 Σ 'n² +1 ln + 30 1 4 + 9 27 81 243 729 8 16 9

A:

Q: Use the properties of the derivative to find the following. r(t) = ti + 5tj + t²k, u(t) = 5ti + tj +…

A:

Q: The differential equation (x²y-2x- 3)dx+ 2dy=0 O Linear in y Linear in x O Homogenous O Exact

A: Given a differential equation

Q: Evaluate the definite integral. Use a graphing utility to verify your result. 5 sec2 x dx -T/6

A:

Q: 5- y? = 4x (4, 4) y = 2x – 4 (1,-2) Using a horizontal element of area, the area of the shaded…

A: Here  we have to find the area of shaded region.

Q: Find the length of the curve z(t) = e“ cos(t), y(t) = e“ sin(t) for 0<t<7. %3D Give an exact answer,…

A:

Q: Find the following using the table below. 1 2 3 4 2 4 1 1 4 9(x) 2 4 1 1 4 2 (a), 6 h'(4) if h(x) =…

A:

Q: 18. Sand is falling into a cylindrical tank at a rate of 15 cubic feet per minute. The radius of the…

A: Please follow the next step.

Q: y=x nd y=x+2 Revolve the area about the x-axis. Using circular ring method, the volume of the solid…

A: The given curves are; y=x2 and y=x+2. And the bounded region is as shown below; Apply the circular…

Q: After substitution is performed, which of the following is equivalent to (4r249)7 dx? 45 8 du u? 13…

A: We have to use the u subsitution method

Q: 2n+3 {a,} = 7n- 2 7n+4)

A:

Q: f f(x) = 3xm(=), find f'(8). %3D

A: Given query is to find the derivative.

Q: The graph y = cos x, given the domain has x-intercepts at 2 37 and 2 2 O T 3R 2 and 2 2 2 37 and 2…

A:

Q: 23. Find two numbers whose sum is 10 and the sum of their squares is a minimum.

A: Let the two numbers be  x and yx+y=10⇒y=10-xx2+y2=SS=x2+10-x2   =x2+x2-20x+100   =2x2-20x+100

Q: (c) F to

A: