3) Find equations for the lines: h the no e. The line through (1,1,1) parallel to the z-axis. f. The line through (2,4,5) perpendicular to the plane 3x+7y-5z = 21

Q: Let f a continuous function in [0,1], an integral equivalent to π/2 f (cos(x)) sen (x) dx 0 after…

A:

Q: State the order of the given ordinary differential equation. (1-x)y" - 4xy' + 6y = cos x Determine…

A:

Q: Derive the Maclaurin and Taylor Series of the function below:

A: In this question, we want to calculate the Taylor and maclaurin series expansion of the function…

Q: x²-3x-10 x 5 x²-8x+15 9. lim

A:

Q: Use any method to determine whether the series converge. 9 (2) Σ k=1₁√√k +1 This series (b) Σ k=1…

A:

Q: f (Ina) ² da 2

A: This question is based on integration by parts.

Q: 3. Determine the area above f(x) = x² + 2x + 3 and below the line y = 11. 4. Determine the area to…

A:

Q: The base of an aquarium with given volume V is made of slate and the sides are made of glass. If the…

A:

Q: Do as indicated. a. Find the equation the tangent line and normal line to the graph of f(x) = x³ at…

A: a) First we find slope of the curve at x=2 Therefore differentiate function y=x3 w.r.t.'x',…

Q: Q4/ B/ If Ø = (x³y²z) and A = 2xz i - 3y²j+ 3xy²k Find 0(ФА) ay əx the point (2, -1, 3)? at

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the volume generated by revolving the given plane area about the given line using disc method.…

A:

Q: Evaluate exactly lim(1 + sinx)2cot: x→0

A:

Q: (a) ƒ (t) = €²t sin (3t)

A: This is a problem related to laplace transform. Based on the general formula and concept we will…

Q: 8. Determine the area bounded by x = -y² + 4y and the y-axis.

A:

Q: Find the integrating factor e∫Pdx then find the general solution. 2x(y - x2)dx + dy = 0

A:

Q: Solve the given differential equations: == 3. 3x²y dx - (x³ + y³)dy = 0, y(1) = 2

A:

Q: Problems: Solve the following differential equations: 1- y ln ydx +(1+x²)dy=0 2- edy-e2dx=0

A:

Q: The plane x + y + 2z = 12 intersects the paraboloid z = x² + y2 in an ellipse. Find the points on…

A: Suppose the point nearest to origin with the condition that it is not the ellipse that is obtained…

Q: 5. The points A(1, 0, 2), B(2, 0, 1) and C(1, 2, k) form a triangle of area √6. Determine the…

A: Follow the procedure given below.

Q: Date Jan 16 Feb 16 Mar 16 Apr 16 May 16 Jun 16 Hours light 8.95 10.18 11.62 13.27 14.65  15.40…

A: Here i am provmy hand written solutions

Q: Let x e N, with n ≥ 2 and a > 0 when applying integration by parts J= 1 = [(ax)" · . e da to the…

A: To find out the correct option.

Q: Find f'(x). f(x) = = O V 10x - sin²(7x) 1 f'(x) = = 2√/10 - 14cos(7x) 1 f(x) 2√10x - sin² (7x) 10…

A: This question is related to differentiation, We will solve it using given information.

Q: Q3) Find the integration by using Partial fraction method Y x² + 2x + 1 (x² + 1)² dx

A: The given integral is: I=∫x2+2x+1x2+12dx   As we know that; The Power Rule: ∫xndx=xn+1n+1+C And…

Q: INSTRUCTIONS: (1) Answer all questions neatly with a blue or black ball point pen/ink pen. (2) Use…

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

Q: B2. Find the integrating factor by inspection then solve.  y(y2 + 1)dx + x(y2 - 1)dy = 0

A:

Q: d dx -[x² tan x] d sin x dx 11+ cos x] 1 1 + cos x

A:

Q: Determine if the following integrals converge or diverge. If the integral converges determine its…

A:

Q: 3) Find equations for the lines: h the no e. The line through (1,1,1) parallel to the z-axis. f. The…

A:

Q: An open box is to be made from a square piece of cardboard of side 12 inches by cutting out squares…

A: To find the size of squares cut out of the box for maximum volume.

Q: d dx [x² tan x]

A:

Q: Consider the following statements: 1. 27x +3,27€ - 11, and 27x + are antiderivatives of 27. II. In…

A:

Q: an integral corresponding to the area of the region bounded by the curves of the functions f and g…

A: f(x) =x2 -4x  g(x) = -x2 here area function = f(x) - g(x) = x2 -4x  -(-x2 ) = 2x2 - 4x

Q: (a) (b) Find the Inverse Laplace transform of the function. 2s +3 5 F (s) + s² +4 s-1 s-7 s² + s-6 +…

A:

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…

A:

Q: e. The line through (1,1,1) parallel to the z-axis.

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 6. lim x-3 x2+4x+3 x+3

A:

Q: Find the derivative using logarithmic differentiation √x+1 y= (x+2) √x +3

A:

Q: B5. Find the integrating factor by inspection then solve.  y(2xy + 1)dx - xdy = 0

A: find out the integrating factor by inspection and then solve the differential equation.

Q: 2. Line I has the equation y = 3x - 4. Line m has the equation y = 3x + 2. a. Graph each line on the…

A: Given line equation is in form of :               y=mx+c              where m= slope of line…

Q: Solve the given differential equations: 1. dy x3 dx 2+y²

A:

Q: In September (30 days), the temperature in a particular city reached 100°F on 22 days. Also,…

A:

Q: Let S = { 1 − (−¹)ª | n € N}. Determine inf S and sup S. Justify. (-1)" n

A: Let us define set S  by giving values to n so that     S={2,0,2/3,0,2/5,...}. Hence S={1+(1/n) if n…

Q: Solve the given initial-value problem. dx y - x = 6y², x(8) = 1 dy x(y) = Give the largest interval…

A: Given problem:- Solve the given initial-value problem.   ydx/dy-x= 6y², x(8) = 1

Q: (d) Draw a set (partition) model that can be used to find the quotient. 47 8 Find the quotient. (If…

A: To find out the correct option.

Q: b. ] ] 6x²-2x-1 3 4x -X d -dx

A:

Q: Find the exact length of the curve. = 3/²/₁ y 1 4x 1 ≤x≤2

A:

Q: et J ((et + 4)²-9)³/2 9)³3/2 dt.

A: See the details solution in below

Q: The tangent line to the curve ³ + y³ = 9xy at the point (4,2) intersects the y-axis at y = -1. -2.…

A:

Q: Use the graph of f to find the largest open interval on which f is increasing, and the largest open…

A:

Q: f(x) = ln(x − 1) at x = 2

A: