Consider the curve 5x² - 3xy + 3y³ = 768. (a) Find an expression for y'. y' = (b) P(12,-2) is on this curve. y' (12,-2) = . (Note: If the derivative does not exist, enter "DNE").

Q: 3. Find the inverse function for f(x) = x-1 3x+1

A:

Q: Find the surface area of the portion of the plane z=6-3x-3y which lies in the 1st octant I)2sqrt18…

A:

Q: 17-44. Indefinite integrals Use a change of variables or Table 5.6 to evaluate the following…

A:

Q: An elliptic cone in R^3 is described by the equation c^2 = (a + 2)^2 + b^2/9 . a. Find an equation…

A:

Q: Sketch the graph of the quadratic function. f(x) = x² + 4x + 4 O S No Solution Help -10 9 8 7 6 5 4…

A: To sketch the graph of the following quadratic function.To indicate the coordinates of the vertex,…

Q: Evaluate (x² + y²) d.S, where S' is the surface z = 4 - æ, 0 ≤ x ≤ 2, 0 ≤ y ≤ 2. S (036² + y²) ds =…

A: To find:-  Where S is the surface

Q: Particular values for the function f(x) are given in the table below. X f(x) 0 46 2 Use the table to…

A:

Q: Find the Left Riemann Sum and the Midpoint Riemann Sum for the function f(x) = x² - 2x on the…

A: The given function is .The aim is to find the left Riemann sum and the Midpoint Riemann sum for the…

Q: Use logarithmic notation to represent the solution to each of the following equations. If there is…

A:

Q: Find the radius of convergence for: (n!) ³ (3n)! -xn

A: Consider the series

Q: Use Newton's method to find an approximate solution of In (x) = 9-x. Start with x = 2 and find X2.…

A: Given ln x = 9 - xF(x) = 9 - x - ln(x)Now we can solve using Newtons method.

Q: Find all critical points of the following function. 3 3 ((x,y) = x² - +2 X 3 3 + 2xy What are the…

A: Consider the function

Q: x sin x 10 dx

A: Consider the integral

Q: Find f(x) if f"(x) = 24x²+2x+8, f(0) = 5, f'(1) = -2.

A:

Q: (c) Two sides of a triangle have length 3 m and 1m. The angle be- tween them is decreasing at the…

A:

Q: Compute the line integral fx²yds, where C is the arc of the circle x² + y² = 9 in the first…

A: To find:-The line integral, where C is the arc of circle  in the first quadrant.

Q: Find the area of the triangle with the given vertices. (Hint:lux vll is the area of the triangle…

A:

Q: Find an equation for the hyperbola described below. Graph the equation by hand. Vertices at (0, -8)…

A:

Q: 37. f(x) = 2x +1 on [0, 4]; n = 4 38 f(x) 2.com-1mo TO 17:

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: If n is a prime number greater than 3, what is the remainder when n² is divided by 12?

A: The objective of this question is to find the remainder when the square of a prime number greater…

Q: I’m not really sure how to solve i’ve tried several times.

A:

Q: Find T5(x): Taylor polynomial of degree 5 of the function f(x) = cos(x) at a = 0. T5(x) = 1 2 2! +4…

A:

Q: y = tan x S 2 1 1+t³ dt

A:

Q: We are interested in the first few Taylor Polynomials for the function f(x) = 5e + 8e-* centered at…

A:

Q: Use the Ratio Test to determine whether the series is convergent or divergent. 4! 1-3-5-1-3-5-7…

A: The ratio test states that

Q: Suppose sin(theta) = 3\5 and theta in quadrant 2. Find the exact value of the following. Solve with…

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: Öz Given z = sin(y) where a=t+u and y=t-u, find Ot What is the formula for ✓ Find Oz Ət dz Ot : 8z…

A:

Q: Find all exact solutions on the interval 0 < 0 < 2. If there is more than one answer, enter them as…

A:

Q: The function g(x) is defined by the rule 9(x)=f(3x+1). If the point (-8, 6) is on the graph of the…

A: We are given that g(x)=And the point (–8,6) lies on the graph of the function f(x).We are to find…

Q: g(x) = * (4 + sin(t)) dt

A:

Q: Use Green's Theorem to calculate the work done by the force F on a particle that is moving…

A:

Q: Find the x-coordinate of the point on curve y=In(2x²-11x) where the tangent line is horizontal. Just…

A:

Q: Consider the following polynomial function. f(x)=(x+1)2(x−2)5(x−3) Step 2 of 3:  Find the…

A:

Q: Compute the line integral [xydx+x²dy, where C is the arc of the parabola x = y² that goes from (1,…

A:

Q: 6. ∞ Σ η=1 1 3η – 2n

A:

Q: 2. Solve the DE 1. 2. (D-D³-9D²-11D-4)y=0 (D-4D³ +8D²-8D+4)y=0

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

Q: PRACTICE vested at a rate of r = 6% compounded annually, monthly, daily, and continuously. (Round…

A:

Q: Below are four sets of ordered pairs. Identify each using the following: n = the set of ordered…

A: Given that n = the set of ordered pairs does not represent a functionf = the set of ordered pairs…

Q: Question 5 (a) Determine the partial derivatives of the following functions with respect to each of…

A: "Since you have posted multiple questions, we will provide the solution only to the first question…

Q: (3) Let f(x) = √4-2² be a function. For what value of x in the closed interval [0, 2] does the…

A:

Q: Evaluate the integral: 1. √64 x² 14x² x = 64 tan(0) 64 sec (0) x = 8 sec (0) x = 8 sin(0) x = 64…

A:

Q: If a 5, b= 7, and c= 11, find the measure of ZC. ZC b C • Enter your answer as a decimal value. •…

A:

Q: Find the maximum and minimum of the function f(x,y)=x+y=x² - y² on the circle x² + y² = 1.

A: Given that the function:-

Q: Find the general anti derivative of the function f(x)=8x^9-3x^6+12x^3

A: Given,.

Q: Find the relative rate of change of f(x) at the indicated value of x. f(x) = 2x² - Inx; x=8 The…

A:

Q: Evaluate the integral 1 S 2 √xe - √x sec ²³ (5e √x + 1) dx.

A: I=∫1xe−xsec2⁡(5ex+1)dx

Q: (b) Find the total area between the graph and the x-axis between x = -4 and x = 2. Round your answer…

A: The graph of  for  is given below.(b) To find the area between the graph and the x-axis between .(c)…

Q: Find the work done by the following force field F(x, y) = 8(y+6)i + 72x (y + 6)8 j in moving an…

A:

Q: and use these to calculate the Jacobian: a(x, y) d(u, v)

A:

Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

A: