and the 1st derivative of x³ + y³ - 6xy = 0

Q: y²dx + x(x+y) dy=0 A xy²=c(x+2y) B x²y=c(x+2y) C D xy² = c(2xy) x+y²=c(2xy)

A:

Q: Evaluate lim x−2+ 2x + x x² + x - 2 2x + x→-2- x² + x and lim T X 2

A: limx→-2+2x+2-xx2+x-2 -2+ means just after -2 like x=-1.99999…

Q: Find the partial fractions and solve for the constants: x+2 dx x²+x S A= -1, B= 2, C = -1 A=2, B =…

A:

Q: If f and g are continuous functions with f(2) = 4 and lim [2f(x) − g(x)] = 2, find g(2). x → 2

A:

Q: Q1. Find the general solution for the following differential equation: -y² (x²ex² - y²)dx + xydy=0

A: Solution is given below:

Q: Identify and sketch the domain of f(x,y) = √4x²-y In x

A: We know, The function ln x defined for x≥0 The function x-a is defined for x≥a

Q: For the given functions, a. write a formula for fog and g of and find the b. domain and c. range of…

A:

Q: Q4. A. Find the parametric and Cartesian equations of the line connecting the points A (1, 2, -1)…

A:

Q: B: Evaluate the following: r (4)r 1– r 912

A:

Q: 5. S sin(3 ln x) X dx

A: Need to find out the integration.

Q: xekx (f) S dx where k is a constant. If there are any particular values of k where your (1 + kx)²…

A: The given question can be solved using the concept of integration by parts

Q: dr de r= (7 + sec 0) sin 0 Find dr de ||

A: See this solution in below.

Q: choose the correct answer and answer it all

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Kindly solve it

A: Given differential equation  2xy'+y=2x

Q: Find the horizontal asymptotes of f(x) = 5x2 + 8x 4x² - 9 (Use symbolic notation and fractions where…

A:

Q: Find the limit of the following. lim 0/6 lim 9/¹ 0 sin 9- 0 0- sin 0- T 6 1 2 T 6 1 2 ...

A:

Q: B: use Lagrange interpolation formula to determine the relationship between the force and velocity…

A: By using Lagrange interpolation formula to determine the relationship between the force and velocity…

Q: Show all necessary solutions and box all final answers. √√x² +11-3 x 4 3x²8x - 16° 1. Evaluate lim

A:

Q: : Fit a second order polynomials to the data in the following: 5 6 12 13 X Y 1 4 3 8 4 10 7 10 8 co…

A: From given data

Q: [10 01 00 LO O 00 00-5 -5 O 0 00 01

A: Given :Matrix = 1000010000-500001

Q: B: Fit a second order polynomials to the data in the following: X Y 1 4 3 8 4 10 5 12 6 13 10 69 8…

A:

Q: Suppose that lim f(x) = 13 and lim g(x) = -8. Find the following limits. X-7 X-7 a. lim [f(x)g(x)]…

A: Suppose that limx→7 fx=13, and limx→7 gx=-8. To find the following limits.a limx→7 fxgx b limx→7…

Q: Evaluate lim X→-2 x²-x-6 x-2

A: We can find the limit of the function.

Q: Average cost.  Tongue-Tied Sauces, Inc., finds that the cost, in dollars, of producing x bottles of…

A: Cost function C(x) = 375+ 0.75x^(3/4) Then find the rate at which average cost is changing?

Q: 5. A culture contains some bacteria, with the population increasing exponentially. The culture…

A: Let's find bacteria function.

Q: what if x approaches the negative infinity?

A:

Q: O x=1 Ox=2 Ox=3 Ox=4 The function h is defined by h(x)=√√4x+1. Where does the slope equal 3

A:

Q: 2. (1 + 3/2x − 1)² = 3 + √3/2x − 1

A:

Q: (5, 4) and 6 = ( − 7, 8). Compute the following vector projections. Let a = proja b proj; a =

A:

Q: Evaluate_lim_ (√9x² − 5x +1+3″

A:

Q: Part I: Directions: Complete the table below. EQUATION CENTER 1. C(0,0) 6. 4. x² + y² = 64 x² + y² -…

A:

Q: Find the horizontal asymptotes of g. g(t) = 10 13+ 4-1 (Give your answer as a comma-separated list…

A:

Q: Q2/ A: Find the Fourier Series of the function : f(x) = X + n if - < X < π and f(x+2n) = f(x)

A:

Q: Consider the graph of  (10 − x)y2 = x3. Find the slope of the graph at the given point.

A:

Q: !

A: To calculate the work done by the field to move from A(0,-π,1) to B(2,π,2). Vectorial field:…

Q: Evaluate lim x-2+ 2x + [2x] x² + x - 2 2x + [2x] 2 x² + x - 2 and lim x

A:

Q: 2. Are the planes 2x-y-4z = 10 and x - 2y + z = 4 parallel or orthogonal?

A:

Q: Let f(x, y, z) = x² - tany² 2xyz Solve for fzzy-

A:

Q: Evaluate the curvature of r(t) at the point t = 4. r(t) = (3 - 5t, e³¹-12, 8t - t²) (Use symbolic…

A:

Q: 1.) dy dx 2x-y² 1+2yx = 0

A:

Q: f(x)-f(a) x-a a. Use the definition mtan = lim x→a a. mtan to find the slope of the line tangent to…

A:

Q: The condition is, H (7) = 17.9; 260 1+ Ce-0.004 (7) 17.9= ⇒1+C₂-0.004(7) ⇒Ce-0.004(7) 260 17.9 -662)…

A: a differential equation is an equation with one or more derivatives of a function. The derivative of…

Q: 3.) (t+z)dt - (z - t)dz = 0

A:

Q: Q2. Determine the complete solution for the following differential equation: y"+y'+0.25y=0 if y(x) =…

A: y''+y'+0.25y=0 let y=emx y'=memx    ;   y''=m2emx…

Q: Evaluate lim x-2+ 2x + [2x] x² + x − 2 2x + [2x] 2 x² + x - 2 and lim x

A:

Q: Obtain the DE of the family of circles with center on the line y=x and passing through the origin.…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: A circular walkway is to be built around a monument, with the monument as the center. The distance…

A: First of all make a figure with monument at origin and both boundaries.

Q: For any given base, what does 100 represent? a) The base squared -1 b) The base squared c) The base…

A:

Q: The ot 9- 8- 7 6- y-values A 3 2 1 If f(x) = g(x) g(r) h(x) 3 then 3 2 x-values 5 a y-values 5 4 3 2…

A:

Q: Total sales of a new product sometimes follow a logistic model. If S(t) denotes the total number of…

A: see below the calculation with steps.