By using double integrals, find the surface area of plane + y² -+z=c that lies inside a a the cylinder x² + y² = 1 a=2 c=2 show the graph and steps of the solution.

Q: Which of the following is an exact DE? A. (x² + 1)dx - xydy = 0 B. xdy + (3x - 2y)dx = 0 C. 2xydx…

A: Solution:

Q: 4. If u = xy + y²z³, where x = rset, y = rs²e-t and z = r²s sint, find the value of du/ds and au/ar…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Solve the integral shown below. Show your solutions. 3xe ²x dx

A:

Q: The power series n=1 0-1≤ x < 5 01≤x≤5 0-1 < x < 5 0-1≤x≤5 (x - 2)" 3n converges if

A:

Q: Solve the following equation by using LONG DIVISION 6x³5x²49x + 60 = 0

A: Let's solve by using long division.

Q: A box with square base and open top has a volume of 1000 m³. Find the dimensions of the box which…

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

Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y² =…

A: Let's find surface area rotated about x=0.

Q: A cylindrical can is to be made to hold 1000cm^3 of oil. How do you find the dimensions that will…

A:

Q: ) a) Find the point at which the given lines intersect: b) Find an equation of the plane that…

A:

Q: cos(etan 3x) y cos

A: The given function y=cosetan3x

Q: Solve the following x³-x²-√√2x limx→2²-11x+18

A: Above question is solved.

Q: Which of the following is equal to In 4 ? 4 offen O et dt 1 O ln 3 + ln 1 dt of - In 8 In 2 t

A:

Q: A manufacturer of boots for a slalom water ski has a production cost of $30 for each boot. The cost…

A: As per our guidelines, we can answer only three sub-parts in a single request. Kindly re-post the…

Q: Please write the complete solutions. Upvote will be given! Consider the region bounded by y = x3, y…

A: Please write the complete solutions. Upvote will be given!   Consider the region bounded by y = x3,…

Q: y = esin(tan-¹ x)

A:

Q: 3. Evaluate the indicated line integrals in the complex plane by direct integration. Siz dz along…

A:

Q: Find the difference of place value of 5 in the number 2,53,459??

A:

Q: Find the distance from the point (-6,2,-7) to the plane -x + 4y = 2z = 22.

A:

Q: 3. a. b. Evaluate the following integrals 2dx dx cos²x√4 tanx - tan² x sin(√x)dx J I sin

A:

Q: Solve the integral shown below. So cos¹¹ 3xdx Só 11

A: ∫0π6cos113xdxLet u=3x.=∫0π2cos11u13du=13·∫0π2cos11udu=13·∫0π21-sin2u5cosuduLet…

Q: TE 2 1² sinº x cos² x dx 0

A:

Q: Use the Chain Rule to find the indicated partial derivatives. P = √u2 + v2 + w², u = xey, v = yex, w…

A: Solution: P=u2+v2+w2   ............(1)Plug the value of u,v &amp; wP =xey2+yex2+exy2

Q: 6. Compute the following integrals using Residue Theorem. 5z - 2 b. dz a. √21-23 = dz · Soz (²-2) 4…

A:

Q: - Find all the second-order partial derivatives of the function: s(x, y) = tan-¹(x) -1(y/x)

A:

Q: Iff and g are differentiable functions and h(x) = f(x)ex) , then K'(x) = rosen Fixe+fixie O [00+0000

A:

Q: = h - Ꮖ = 1 x2 + x + 1 4

A:

Q: # Determine whether the function z = f(x, y) = (why or why not) for for (x, y) = (0,0) (x, y) =…

A:

Q: Find the rate of change in the area (A) of a circle with respect to its radius (r) when r = 9. 9TT…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A:

Q: f(x csc² 6x-x cos 6x)dx

A: Given,∫ (xcsc26x-xcos6x)dx

Q: A particle moves along a straight line such that its displacement at any time (t) is given by…

A: Note: There is a typo in the question.  Incorrect:  S = t^3 - 6t^3 + 3t +4   Correct:  S = t^3 -…

Q: Solve the following. x³-x²-√2x limx→21 x2-11x+18

A: To evaluate the given limit, first, we multiply the numerator and denominator of the given function…

Q: If f'(x) = 2x³ + 3x² − 4x + 5 and f(0) = 1 and f'(0) = 2 find f.

A:

Q: 4. Find the volume of the solid that lies above the cone o H and below the sphere p = 2.

A:

Q: Find the argument of the Complex number: Z= 1-j √3+j

A: To find the argument of the given complex number.

Q: The population of a community is known to increase at a rate proportional to the number of people…

A:

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A:

Q: Evaluate the following integrals by interpreting each in terms of areas. (²√₁ 1 - x² dx Jo

A: Recall:  Area of circle=πr2

Q: Determine whether the equation is exact. If it is exact, find the solution. 3 2eycosy + = C 2. 3…

A:

Q: find dy/dx y = cos(etan 3x)

A:

Q: a-(-3,-5) and 6-(1,4). Representa + busing the parallelogram method. Use the Vector tool to draw the…

A:

Q: Cn = COS * ´π(1+4n)` 2

A:

Q: 4dx x- 3√x²

A: Evaluate the integral

Q: Calculate Differentiate. 1 = 2 z² + 1 f(z)

A:

Q: Q2. If f(x, y) = xy² + y²cosy + xsiny then a) y² - siny c) 2y + cosy a²f is дудх b) y² + cosy d) 2y…

A:

Q: Q3- Sketch the region of integration and evaluate the integral: In8 Iny ["C ex+y dxdy

A: Given double integral ∫1ln8∫0lny ex+y dx dy

Q: A coffee merchant sells three blends of coffee. A bag of the house blend contains 100 grams of…

A: This question can be solved using the concept of system of linear equation.

Q: (a) Find the position vector of a particle that has the given acceleration and the specified initial…

A: To find the position vector of a particle with given acceleration vector and initial conditions

Q: dy For the following composite function, find an inner function u = g(x) and an outer function…

A: Given problem:- For the following composite function, find an inner function u = g(x) and an outer…

Q: Show that lim in(+¹) + sin(+²) + n *** + sin(2) cos(1) - cos(2).

A: Above question is solved.