find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis xy=4  , x=0 ,y=4, y=6

Q: 5. Using implicit differentiation, find dif dx 2 x² + xy + y³ = 0.

A: Topic = Derivative

Q: The solution of the differential equation y' = ² - al 2 + 1 is:

A:

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

A:

Q: Solve (x - 1)dx - (3x - 2y-5)dy = 0

A:

Q: Find all solutions to the equation cos(x) = √√3 2 in the interval [7, 2ë].

A: We can find the answer in the below steps.

Q: At time t = 14 s, the velocity of a particle moving in the x-y plane is v = 0.06i + 2.21j m/s. By…

A:

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

A: Concept: The volume of the solid is made by revolving the region around x-axis is given by…

Q: The solution of the differential equation y': || x 1 + 1 is:

A:

Q: 4x²y dx + 2x³ dy-10 y² dx - 15xy dy = 0

A:

Q: Variable Seperable (Differential Equations) dy/dx= (1-y2)/(x3)

A:

Q: 1. Verify that the conclusion of the Clairaut's Theorem hold d) z = ex cos y e) z = sin x sin y

A:

Q: Use the price-demand equation to find E(p), the elasticity of demand. x=f(p)=83-0.4 eP E(p) =

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) 6 √x dy = y = 9√√x +

A: Formula we use d(xn)=nxn-1dx. d(f+g)=d(f)+d(g).

Q: The graphs of z = 8, y = g(z) (solid) and y=h(z) (dashed) are shown; the graph is not drawn to scale…

A:

Q: 3 3 ( xy² + y ² ) dy = ( x ²³ y ²³ + x ³ - y ³ - 1 ) dx

A:

Q: Given the curve r(t) = 4t (4) i + (4 cos(t)) j find the acceleration vector at t = ㅠ 3

A:

Q: Use the alternative curvature formula k = r(t) = (7 cost,√√5 sin t,3 cos t) |axv| |v|³ to find the…

A:

Q: Question 8 of 9 Find the radius of convergence and the interval convergence. Radius of convergence:…

A:

Q: Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of…

A: We can find the volume of the solid .

Q: A6a) Find the average value fave of the function f on the given interval. 3 x² f(x) = = [1,3] A6b)…

A: See this solution in below.

Q: Recall that lim 20 lim tan 12 x→0 5x sin z x = 1. Find the limit of lim x 0 tan 12x 5x

A:

Q: (1) Find the average rate of change for the function 3x³ - 2x £5 on the interval [=-2, 6]. f(x):

A: We have to find out average rate of change

Q: 4. Order

A: Please see the below answer.

Q: Evaluate the integral, which has irreducible quadratic factors.       7 (x − 7)(x2 + 2x + 9) dx…

A:

Q: Let f(x) = x³. (a) Estimate the values of f'(0), one decimal place.) f'(0) = 0 F'(-/-) = 0.8 f'(1) =…

A:

Q: 1. S sin 2x sin x dx

A:

Q: Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f…

A: This question can be solved by applying the conditions of concave up, concave down andpoint of…

Q: 4ª8a 32b = 32 for x = =

A:

Q: 2. Find the absolute maximum and absolute minimum values of f(x) on the given interval (if they…

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

Q: Find the radius of convergence and the interval of convergence. Radius of convergence: O A=0 k+5…

A:

Q: The measurement of the edge of a cube is measured to be 8 inches, with a possible error of 0.02…

A: The solution is given below

Q: Use the root test to determine whether the series converges or diverges. If the test is…

A:

Q: The graphs of z = 8, y = g(z) (solid) and y=h(z) (dashed) are shown; the graph is not drawn to…

A:

Q: C. Write the equation of a circle in general form. Determine the center & radius. Sketch the graph.…

A:

Q: Find and sketch the domain of f(a, b) = √b² + 4a + 2 In (1 − a² − b²)

A:

Q: The function f(x) = √√2x − x² is given graphed below: (A) Starting with the formula for f(x), find a…

A: We can solve this as follows:

Q: What is 2 3/4 x 5 7/5?

A: We have to solve the product

Q: Find the length of side x in simplest radical form with a rational denominator X 30° 4

A:

Q: Could you please explain step by step how to solve. If f(x) = 2x sin x cos x, find f’(x)= Then Find…

A:

Q: What is a singular matrix

A:

Q: 4. If P1000 becomes P1126.49 after 4 years when invested at a certain nominal rate of interest…

A:

Q: 3

A: The given integral is s 4∫0∞x21+x4dx Beta function is defined as Bm,n=∫01xm-11-xn-1dx

Q: Let k (x, y) = e 4x cos (x+2y). Evaluate the first-order and second-order partial derivatives of k.

A:

Q: Define critical realism

A: Critical realism:- Many communities are referred to be critical realists. These include Russell…

Q: (x -y In (y/x)) (vy-y In(y/vy)) --> (vy - y In(1/v)

A: let x=vyx-yln(y/x)put the value x=vyx-yln(y/x)=vy-yln(y/vy)

Q: Calculate v XW = (u₁, U₂, U3). = (7,3,2) V = w = (-6,4, -3) (Give your answer using component form…

A: On solving this we will get

Q: 121k²6 = (

A: Solution

Q: Solve the homogeneous differential equation xy 2y²-x² dy dx d=2v== dx

A:

Q: When applying Lack’s principle to a whole bird population we can obtain an expression for…

A:

Q: Find all solutions to the equation cos(x) == in the interval [, 2]. 11л (A) only (B) only (C) only…

A: