3. Integration by parts: 3x d x (V3 2x+4

Q: J Va4 + 1 ‚4

A:

Q: 4. Write the equation of the plane parallel to the z-axis, with xy-trace x + y - 2 = 0.

A: Write the equation of the plane parallel to z axis, with xy trace x+y-2=0.

Q: dh + 2h = 0 dr

A: Given:rdhdr+2h=0  

Q: Use the trapezoidal rule withn= 4 to approximate cos(x) dx Keep at least 2 decimal places accuracy i...

A:

Q: 2. The degree of the differential equation 5x +Sy =0s dr

A: We will find the degree of differential equation in the following step.

Q: Consider the initial value problem and find the solution for y''+4ay'+(4a²y+4y)=0 and y(0)=-2, y'(0)...

A: Solution: y''+4ay'+(4a²y+4y)=0 and y(0)=-2, y'(0)=-1.

Q: Eliminate the arbitrary constants y = x2 + ax + be-*

A: We have to eliminate the arbitrary constants y = x2 + ax + be-x

Q: 4л — 6, 2 <г -

A:

Q: 9. lim e 10. lim e sin 6x 11. lim 5*+6 12. lim

A:

Q: e - a) + ? = α a²

A: See the details solution in below

Q: 1. Elimination of Arbitrary Constant: y= Ax² + Bx+C , A and B are constant, C is a parameter 2. Fami...

A: Note:- These are multiple questions and according to our company guideline we can do maximum one que...

Q: 5. Exact Differe ntial Equation: x(3xy-4y' +6dx+(x' -6x'y' -1dy = 0

A:

Q: Families of Curves: Parabolas with vertex ( h, -3) and it opens to the left

A:

Q: dy Q3. Solve the DE da +y - y? provided that y1 = - is one known solution of the equation.

A:

Q: f(x)= 5.738e0287x By inspecting the graph of an exponential function, find the following. Note: Roun...

A: The given function,      f(x)=5.738 e0.287 x

Q: Find fr and f, for f(x, y) = (1 – x + y)e²+2y Select one: O a. fr = (-x + y)e+2y, fy = (3 – 2x + 2y)...

A:

Q: Find the differential equation of the family of plane curves described. Draw at least three members ...

A: To find :The differential equation of the family of plane curves described.Draw at least three membe...

Q: Find fr and f, for f(x, y) = 3x³ + 4x²y+ 4xy² + y? Select one: O a. fa = 12x? = 9x? + 8xy + 5y², = 9...

A: Given -  f(x,y) = 3x^3 +4x^2y + 4xy^2 + y^2 To find fx and fy.  

Q: A $9000 investment earns 4.6% annual interest, and a $5000 investment earns 8.7%, both compounded co...

A:

Q: 1 3. lim coS x 14. x-0 5. lim 4x+7

A: Given query is to find indicated limits.

Q: 6. The equation of the family of straight lines with y-intercept and slope equal is

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of mu...

Q: b 16 17 18

A: Graph the function :    

Q: x3 00 dx = (x* +4)2 0,

A:

Q: Find dy/dx by implicit differentiation. x2 - 5xy + y3 = c y' = %3D

A:

Q: Shown above is a slope field for which of the following differential equations? A + y? (B = x – dr y...

A: Here, dydx=y2⇒dyy2=dx⇒∫y-2dy=∫dx+C⇒y-1-1=x+C⇒-1y=x+C⇒y=-1x+C The graph is as shown for c=0.  

Q: 5. Exact Diffe re ntial Equation: x(3xy – 4y' +6}dx+(x' – 6x² y² -1dy =0

A:

Q: Given that the position of particle is defined in terms of time by the equation below, where x is in...

A:

Q: Vx2 – 16 if x 0 Find the following: Note: If the g(a) or lim g(x) does not exist write DNE. 1. lim ...

A:

Q: Xt 2X2 -5 Xi + X2 + 2X, -2

A:

Q: In running events, Banjo always trails from Bibo. Moreover, Kim runs faster than Bibo. Does Banjo r...

A:

Q: 1. x + 6 dx 2 (x + 1)(3x – 2) dx - 3 4 - 3x2 + 5

A:

Q: 5. The equation of a family of parabolas with axis paralel to the y-axis is 6. The equation of the f...

A:

Q: (1) Let C1 and C2 be arbitrary constants. The general solution to the homogeneous differential equat...

A: Let's find. 

Q: Find fræ, fry and fuy for the function f(x, y) = (1+x + y)e*y Select one: O a. None of these O b. fr...

A:

Q: Find a linear approximation to the following function at the point a = 1 y = f(x) = x³ – 5æ4 + 8x3 –...

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Q: 4. Homogeneous Diffe rential Equation: (r+2ry-4y kdx-(x² -8.ry-4y kdy= 0 y Use the substitution y wx...

A:

Q: Tori is draining her pool for winter. After the pool had started draining, Tori began to wonder how ...

A: To find out the equation d-1(y).

Q: 27. y y- 1. (2. 1) (hyperbola)

A:

Q: 4. (D² +D-1)²y = 0 ,when x= y = 0 , y' = y" = 1, y" = -1

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Q: -6 9-

A:

Q: Evaluate the following limit or state that it does not exist. (Hint: Identify the limit as the deriv...

A:

Q: dx Evaluate S 4+x² Evaluate f dx -x2+4x-3

A: NOTE: Refresh your page if you can't see any equations. .

Q: By using first fundamental theorem of calculus. Solve the problem 1.) Suppose f(x, y) = S*3 If fx (0...

A:

Q: 40 -2 3 --10 Given the function f(x) shown above, f(x) > 0 over which intervals? Ox 2 -3 2 Ox 1

A: Given:-

Q: Find the general solution to the differential equation. y' = 2t   t2 + 64 y =

A: Follow the procedure given below.

Q: Plot the following function as a 3D plot: (x + y)* + (x – y)² - f(x, y) = 2(x + y)² 4

A: Plot the function:f(x,y)=2(x+y)2-(x+y)4+(x-y)24

Q: The length { of a rectangle is increasing at a rate of 9 cm/sec while the width w is decreasing at a...

A:

Q: TC nts) Find the equation of the tangent line to the curve y= sin (3x) at r=-. Show all steps clearl...

A:

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

A: an=n+1-n+3 limn→∞an=limn→∞n+1-n+3limn→∞n+1-n+3=limn→∞n1+1n-n1+3n   =limn→∞n1+1n-1+3n=limn→∞1+1n-1+3n...

Q: 11.What is the slope of the tangent line to the curve y = 3x? – 5 at poin - O A. -7 О в. -5 O C. -6 ...

A: Differential equation