Q3): If x fx + yfy = nf show that x²fxx + 2xyfxy + y² fyy = n(n – 1)f %3D

Q: problem

A: We have to find the value of the given following conditions according to the given information

Q: Evaluate the integral: V2 1 5xdx *Input answer as a decimal. Round-off to 2 decimal places.

A: The final answer is rounded off to 2 decimal places.

Q: Evaluate the integral: 2T So * cos? (0)d0 *Input answer as decimal round-off to 2 decimal places

A:

Q: of the indicated portion of the curve. K.

A:

Q: dy 8. Solve the initial value problem of (sin x) = y cos x = x sin x. dx

A: Given that sin x dy/de +y cos x = x sin x Or     dy/dx +y cot x = x Which is linear I.F. =…

Q: 10. (x + 3x3 sin y)dx + (x* cos y)dy = 0

A:

Q: (c) SUPPLY RATE When the price of a certain commodity is p dollars per unit, the manufacturer is…

A:

Q: Evaluate the given Integral 1. ſ csc x (cos2 x - 1)dx

A:

Q: Geometric Sequence A. Find the indicated terms of the following geometric sequences. 1. 12, 6, 18,…

A:

Q: PERFORMANCE TASK 1. The population of a city years from now can be modeled by the function P(x) =…

A: Concept: Graph: A graph is a graphical representation of data that is organized on a graphing plane…

Q: 2) The height (in feet) of an object that has fallen for t seconds from a height of 800 feet is…

A: Topic:- calculus

Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by y=x² and…

A:

Q: S. 14 V1 + 7x dx

A:

Q: The rectangular coordinates of the point Pare (V3,-1, 2). In the cylindrical coordinates of P the…

A: Given

Q: Q2: Solve the following linear differential equation: y' + y = x+

A: We can solve this as follows:

Q: Find the Taylor series of  f(x)=ln(2+x) around the point x=-1 by reaching the term n=4

A:

Q: Find the slope of the tangent line to the curve — 4г* + 4гу + 4у — 92 at the point ( – 1, 3).

A:

Q: Geometric Sequence A. Find the indicated terms of the following geometric sequences. 2. 2, 4, 8, ...…

A:

Q: Q4: Solve the following exact differential equation: 2xydx + (1 + x2)dy = 0

A:

Q: Find and classify the critical points of the function: f(z, y) = 1' + y* – 144zy + 4 Local maximums:…

A:

Q: C. Solve as indicated. 2. Find the first 10 terms of a sequence in which the fourth term is 114 and…

A: Let us consider an A.P series with first term= a and common difference=d  Then the nth term =…

Q: Find the area of the region between the curves 4x + y? = 12 and z = y. Area between curves =

A:

Q: Use implicit differentiation to find the slope of the tangent line to the curve x3 + 9 2y - 10 at…

A: Topic:- application of derivatives

Q: 3) Explain why the Cartesian equation 2x– 5y+ 3z = 2 does not describe the plane with normal vector…

A:

Q: Evaluate the integral |- 5x + x3 - 2 x5 dx 3

A: Topic:- integration

Q: 8 Evaluate ( - 12vt)dt Select one: 666 a. 654 13 664 O C. 15 660 Od. 15

A:

Q: 4-In any clements is the only hilpolent elements O ac-b)= C-ajb= - Cab) O C-a) (-b) =ab %3D %3D

A: 1.  We have a(-b) + a.b =a.(-b+b).     ( Distributive law )                    = a.0…

Q: Next qu Classify the statement as either true or false. If lim F(x) exists, then F could be…

A: We have to find out the continuous property

Q: Find the given limit. 2 X -5 lim 4-x X -4 x -5 lim %D 4 -x X→ -4 (Simplify your answer.)

A: Find the given limit

Q: O Find the limit lim f(x). Select the correct choice below and, if necessary, fill in the answer box…

A: we have to find the limit

Q: Find an equation of the tangent line to the curve y = x - 3x + 5x that has the least slope.

A:

Q: Q1: Find the Integration using Gamma Function Method: 00 x*e-3xdx

A:

Q: 2x2 - 9x-5 Let f(x) = Find the indicated quantities, if they exist. x +x- 30 (A) lim f(x) (B) lim…

A: We have to find the limit

Q: Let D be the region that is bounded by the surface z = x + y² and the plane z = 4. ,2 a) Find the…

A:

Q: Consider the paints A (-2,3.1),8(0,0.2) and C (-1, 5.-2). (1.) Find a vector of length ST in the…

A: This is a problem of vector calculation. Based on the general formula we will answer the question.…

Q: x/2 dy 2. -y=e

A: According to the company rule we can answer only first question and rest can be reposted.

Q: Evaluate the integral 5*dx |(Type an exact answer.)

A:

Q: 11. Write true if the statement is correct and false if the statement is incorrect. Given the…

A:

Q: Sketch the region enclosed by 2y = 5/a, y = 4, and 2y + 2æ = 7. Decide whether to integrate with…

A:

Q: Consider a rectangle with the following property. Perimeter: 112 meters Let w represent the width of…

A: A rectangle has perimeter 112 meters.

Q: he velocity vector? Di+O i+O k

A: Topic:- application of derivatives

Q: Find (6x+5) dx. (6x+ 5) dx%3D

A: Note that: ∫xndx=xn+1n+1+C

Q: Solve 12 sin (t) + 2 cos(t)- 8 = 0 for all solutions 0 <t < 277 t = Give your answers accurate to 2…

A: The given equation,      12sin2t+2cost-8=0

Q: 1. Disk Method a. y = x2,x = 0, x = 2, y = 0, about the x ахis а.

A:

Q: L Find the point/s of intersection of each of the following figures given below, draw the element…

A: topic - Area bounded by curves

Q: Problem 9 Compute the derivatives of: (a) f(x)= e6z²+3z (b) g(x) = r°e² (c) h(x) = In(3r“ + 2x)

A:

Q: Please answer the question; correctly, thank you

A:

Q: Rewrite the expansions in terms of exponential and simplify the results as much as you can. 1. 2…

A: We use the formula of coshx and sinhx to simplify the given expression.

Q: 2 2(3)' Find: i=1

A:

Q: Ift=2cos (y² + 2), find the derivative of t with respect to y. A. 8y sin(y² + 2) cos(y² + 2) B. –8y…

A: The given function,  t=2cos2y2+2