Find an equation of the ellipse with foci at (-4, 3) and (-4, –9) and whose major axis has length 30. Express your answer in the form P(x, y) = 0, where P(x,y) is a polynomial in x and y such that the coefficient of x² is 225. Answer: = 0

Q: Sketch the curve given by the parametric equations x= t³ - 1 and y= t² + t. Construct a table with…

A: Given problem:- Sketch the curve given by the parametric equations x= t3 - 1 and y= t2 + t.…

Q: 10. Particular solution of y" – 64y = 16, when x = 0, y = 1, y' = 0

A:

Q: х3—х+1 Find: lim X→0 x2+3

A:

Q: Suppose x? + y + z² = 1 and z = g(x, y) > 0. Determine g Su (글, 글). 1 1 2

A:

Q: Let f be the R 2 − R function defined by f (x, y) = ln xy and let r be the R − R 2 function defined…

A: Given

Q: xp x[1+ (In x)²] 5.

A: The given integral is: I=∫dxx1+lnx2   ...(1)   We know that; ∫11+x2dx=tan-1x+C

Q: The volume generated when the region bounded by y = x , y = 1, x = 0 is rotated about x - axis is…

A:

Q: If f(x) = f (t³ + 212 + 4) dt

A: We have to find f"(x) for the given function.

Q: T/2. 1. Let R be the region bounded by the graph of f(x) - sin x, the x-axis, and the vertical line…

A: Given the region is bounded by the f(x)=sinx2 and line x=π2 and x axis.

Q: incorrect The answer above is NOT correct. 1.8 F2 1,0 10 The slope of the tangent line of the…

A:

Q: Supply the missing integrand and limits of integration. dy (3x² – 2xy + y³) dx dy

A:

Q: Use the method of cylinders to determine the volume of the solid obtained by rotating the region…

A:

Q: Evaluate the integral 1

A: We can solve this as follows:

Q: Number

A: Please refer to the image below

Q: x dx dy _dy V4 +

A:

Q: (D4 – 2D3 + 5D² – 8D + 4)y = 0 (D3 – D² + D – 1)y = 0 (4D3 + 12D2 + 13D + 10)y = 0 (D5 + D4 – 7D3 –…

A: Given

Q: x*- 2x³+x² xdx

A: ∫x4-2x3+x2xdx ∫x2x2-2x+1dx ∫x2(x-1)2dx ∫x2(x-1)dx ∫ x3 -x2dx x4/4 -x3/3 +c

Q: cx+ln x Determine the equation of the tangent line to the graph of f(x) cosh (V2t – 1) dt at x = 1.

A:

Q: A ladder of length 8 meters leaning against a wall starts to slide. If its upper end slides down the…

A:

Q: find the derivatives of the following with complete solution a. y = sec 2x b. y = sin x -

A:

Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

A:

Q: 4. If y = x cos x determine the 5th derivative. [y(5) = (60x – x³) sin x+ (15x² – 60) cos .x]

A: To find out the fifth derivative.

Q: Two cars leave an intersection, one 17 minutes after the other. The first car, A, travels north at…

A:

Q: 1 = dx x + Vx

A: We have to evaluate the integral.

Q: The matrix is defined as A= 1 has characteristic equation of 22 + DA + 3, so the value of D…

A:

Q: 1) Find the Taylor series for f(x) = In x centered at 3. Show All Your Work.

A:

Q: Exercise 195 Further problems on Leibniz's theorem 7. Given 2x2y" + xy' +3y = 0 show that 2x2y(+2) +…

A:

Q: 6. S (10 x - 40) dx x 2 - 8 x + 15 8. S (e 5x - e 2x + 8) dx 2 e 5x 7. S 10 cot 2x dx

A:

Q: Determine the center of mass for the region bounded by the following y=x^3 and y=√x.

A:

Q: 17. If you know f(0) = 625 and f (4) = 16 then: %3D %3D (a) Find a formula for f(x) assuming that it…

A: 17.A function satisfies that f0=625 and f4=16

Q: find the Fourier series of the following equation -1<x<0 (-) f(x) = }x 0 <x<1 1<x <3

A: Given

Q: Find the first derivative of y = arctan [ (3 sin x) / (4 + 5 cos x) ] and y = ( ex – e –x ) / (ex…

A:

Q: > arctan (n) n=1

A: Given

Q: 3. Determine the 4th derivative of: y = 2x'e* [y(4) = 2e*(x³ – 12x? + 36x – 24)I

A: I am attaching image so that you understand each and every step.

Q: Find the general solution of cos x dy + (y sin x – 1) dx = 0

A:

Q: 3. Find the area (in sq. units) bounded by the parabolas x²-2y = 0 and x2+2y-8=0.

A:

Q: 2x° dx x2-4

A: ∫2x3x2-4dxSubstitute u=x2-4→dudx=2x→dx=12xdu=12∫u+4udu=4∫1udu+∫1du

Q: •4 (ii) 2y dy dx.

A:

Q: 1) и %3D Зх?у + xӀпу? — Inxy

A: 1.

Q: Supply the missing integrand and the limits of integration dx dy _dy ху

A: The given integral:∫-11∫1eydxdyxy

Q: 4. General solution of (y2 + xy) dx – x² dy = 0 %3D

A:

Q: Iy 3. cosysiny dy

A:

Q: Differentiate each function. Simplify as much as possible and express all answers using positive…

A: As per bartleby guidelines we only give first three question answers.  Let's find all…

Q: A. Set up the double integral | |(2? (x2 + y)dA where Ris the region above the x-axis bounded by the…

A:

Q: 4. S cotx csc'x dx

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

Q: L(sin 2t cos 2t)

A:

Q: 1. Get the first derivative f': 2. Find the factors: 3. Find the critical numbers: 4. Get the second…

A:

Q: (a) Find the equation of the tangent line at A. (b) Find the area of the shaded region enclosed by…

A:

Q: 81. Area Find the area between the graph of y = sin x and the line segment joining the points (0, 0)…

A:

Q: -3 3 sec? 6. dx du =. answer:

A: