3. Sy'edy

Q: dy without first solving for y. dx Use implicit differentiation to find - 28x4 + 10x2y + y* = 8 dy…

A: The given function,    -28x4+10x28y+y4=8

Q: dy without first solving for y. dx Use implicit differentiation to find y? 1 36 36 dy dx At the…

A:

Q: V29. Verify that the piecewise-defined function (-, x<0 y = 2, x 0 is a solution of the differential…

A: As per the company's guidelines, we are suppose to answer the first question. Kindly repost the…

Q: de r= 4 e ao and = 3 dt

A:

Q: Q3: A right circular cone has the radius of the base and the height which at a given instant (to)…

A:

Q: (3)" n=0 _n!

A:

Q: be the solid enclosed by the paraboloid z = -x² – y² and the cone 2? = x² +y?,z > 0.

A:

Q: Use the chart below to find the average rate of change of the function f(x) over the interval given.…

A: Our Aim is to find the average rate of change of the function f(x) over the interval given.

Q: 3 * 12(In x)³ dx

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: [1 2 1] Given A = 2 3 1 4 0 1] x, C =-2 1 o and D=[2 1 4]. 5 B =-2 w 3 4 2 y 3 z [-2 a (a) Find the…

A:

Q: 1) Find the value of C that make the function continuous at x-1? x 1 -

A: We have given piecewise function  Function is continuous at x=1 if  f1+=f1=f1- f(x) = C-x        if…

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

A:

Q: Find the tangent line to the curve y = x + 2x3-2x2 -3x + 3 which is perpendicular to the line x- 3y…

A: Given :y=x4+2x3-2x2-3x+3Line : x-3y=2

Q: Vnx" 00 3" n=0

A:

Q: Given y = u28 and u = 5– 3x?, find dy/dx. A. = 168x(5 - 3x?)27 D. dx = -28x(5 – 3x²)²7 dx dy В. dx…

A: As we know that; The Power law: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2   (1). Given: y=u28…

Q: A) Find f(x + h) and SIMPLIFY. f(x + h)%3D B) Find f(x + h) - f(x) and SIMPLIFY. f(x+ h) - f(x) =||…

A:

Q: 1) Determine the value of c such that the function is continuous Vx E R. Show and explain in…

A:

Q: 1-cos 4x Find the derivative of y sin 4x

A:

Q: Find the volume of liquid needed to filla sphere of radius R to height R y V

A: Given that  Radius of sphere = R       and Find volume of liquid  at height at R/2.

Q: Evaluate 4 dx V4-x2

A: To find out the integration.

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

A:

Q: dy cot X Cos X Sin x +y=

A: The given DE is: cot x dydx+y=cos3xsin x⇒dydx+ycot x=cos3xsin x1cot x⇒dydx+(tan x) y=cot…

Q: Find the volume of the solid whose base is the region in the first quadrant bounded by y = x°, y =…

A: Here we have to find the volume.

Q: Find the volume oF the solid obtained by rotating about the x-axis the region by y= x' and the lines…

A:

Q: Suppose a Cobb-Douglas Production function is given by the following: P(L, K) = 50L0ºK®1 where L is…

A:

Q: x/2 2. dy Sin x dy +34 2- X 2

A: A detailed solution is given below

Q: Evaluate the integral: 2T So cos² (0)d0 *Input answer as decimal round-off to 2 decimal places

A:

Q: 3 dx 2 х2+1

A: Given problem:-

Q: Write a in the form a = a-T+a,N at the given value of t without finding Tand N. r(t) = (3e'cos t)i+…

A:

Q: Find the arc length parameter along the curve from the point where t= 0 by evaluating the integral s…

A: Arc length

Q: sin (x-1) lim x+1 x2+2x-3

A: To evaluate: limx→1 sin⁡(x−1)x2+2x−3 The given limit is of indeterminant form 0/0

Q: The function f(t)=460(0.2)^{t} represents the change in a quantity over t months. What does the…

A: The function ft=4600.2t represents the change in a quantity over 't' months. To determine what does…

Q: 7. Find f(x) given: 2 f" (x) = 48x 6x + 1 and f (0) = 1 and f (0) = 2 %3D

A:

Q: Find a unit vector that has the same direction as 8i - j+ 4k. Write the numerical coetficient in…

A:

Q: x-1-2 2) lim 1 1 Xー 2 2,

A:

Q: The sides of an equilateral triangle are increasing at a rate of 10 cm/min. At what rate is the area…

A: Given that The sides Equilateral triangle are increasing at a rate of 10cm/min.

Q: 3. Solve the initial value problem of y(-1) = 0 dx x+3

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find the direction of the vector, in degrees, of the vector 21 - 21. No need to indicate the un

A: Recall; Let ai+bj be the vector, Direction of the vector is θ=tan-1ba We have, a=2, b=-2

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

A: We can solve this as follows:

Q: 11. (e* sin y – 3x²)dx + ( e* cos y+ |dy = 0 12. (2x + 1+x?y? ) dx +( -29) dy = 4 - 29) dy = 0…

A:

Q: Construct YOUR OWN example of how to determine the derivative of a given function and the process…

A: To write an example to how to find out the derivative and anti derivative.

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

A:

Q: For the given polynomial o find the maximum possible umbers of the positive and the negative root o…

A: Roots

Q: [[ 12y dA; R is bounded by y = 2-r, y = VT, and y = 0.

A:

Q: divide f(x) and d(x), and write a summary statement in polynomial form and fraction form:…

A:

Q: x’y? If z , show that x=+ y- 3z x+ y ôx ây a²z ô²z = 0 if z= Tan 2.xy x² – y? Show that âx² ' ây²

A: A detailed solution is given below.

Q: 3. By hand, find all the solutions (if any) of the following linear system using the augmented…

A:

Q: Pydx + x(2 + x²y) dy = 0

A: Topic:- differential equations

Q: 35. A Baguio City road is inclined 20 to the horizontal. If a man jogs 500 m along this road, how…

A: We have to solve 35 &amp; 36.This will solved by the help of trigonometric value.