5. y = xArctanx - In V1+x

Q: Solve the differential equation (D³ – 2D² – 5D + 6)y = (e2x + 3)2 %3D - -

A: To solve the given differential equation.D3-2D2-5D+6y=e2x+32

Q: e in free space is 1 millimeters and h = 100 t 32 1 millimeters. (Round your answer to six decimal p...

A:

Q: Consider the following. w = xy2 + x?z + yz?, x = t2, y = 6t, z = 6 (a) Find dw/dt using the appropri...

A: Here, the given functions are: w=xy2+x2z+yz2, x=t2,y=6t,z=6

Q: This exercise uses the population growth model. A culture starts with 8300 bacteria. After 1 hour th...

A: Since you have posted multiple questions I can do first question as per our company guidelines pleas...

Q: Find aw/as and aw/Ət using the appropriate Chain Rule. Function Values w = sin(5x + 6y) x = s + t, y...

A:

Q: Consider f(x)=ax+xln(bx)f(x)=ax+xln⁡(bx) for a>0a>0, b>1b>1, and x>1x>1. Find f′(x)f′(x): f′(x)=f′(...

A: f'(x)=a+1+logbx Increasing 

Q: Evaluate the integral by changing to cylindrical coordinates. V 16 - x2 16 - x2 - y2 x² + y? dz dy d...

A:

Q: Evaluate the given integrals. Seš (6 – e) dx -1 3. es (6

A:

Q: 5xyz dv, where T is the solid tetrahedron with vertices (0, 0, 0), (1, 0, 0), (1, 1, 0), and (1, 0, ...

A: We need to find volume.

Q: find the definite integral of [e^(arcsec x)] / [ (x)(x^2  - 1)^(1/2)]  dx as x goes from 1 to infini...

A: This question is related to definite integration, we will solve it using given information. 

Q: Write an equation for the line through center a circle (x2 + y2 + 4x+6y = 3) which make an angle) wi...

A:

Q: S sin 8x sin x dx O - 0. 02 O - 0. 01 O 0.02 0.01 O O O

A:

Q: B. Compute the derivative function f using the definition of the derivative. Show your complete solu...

A:

Q: Find the volume of the pyramid with base in the plane z = -1 and sides formed by the three planes y ...

A:

Q: Minimize Q= 2x +3y2, where x + y = 5. ... y% = (Simplify your answer. Type an exact answer, using ra...

A:

Q: (2 cos 3w – sec 3w tan 3w)dw

A:

Q: Ísin^8 (3z) cos^5 (3z) dz * O 1/27 cos^9 (3z) - 2/33 cos^11 (3z) + 1/39 cos^13 (3z) + C O 1/27 sin^9...

A: Given integral I=∫ sin8(3z) cos5(3z)  dz

Q: for the indicated integral, what would the first step be? sin't dt, Vcost Save a sine and convert th...

A:

Q: Integral from 0 to 1 of (3^x)/(e^x). The answer should be decimal

A:

Q: +00 El-1)nInn- n=2 n2

A: The given series,        ∑n=2+∞-1nln nn2

Q: 2.x2 (а) lim,g->2 5x + 2 Зх — 6 а* (За — 1) (b) lim→∞ 50 + 4г — 2л3

A: A) limx-2 (2x2-5x+2)/(3x-6). B)limx-infinity(x2 (3x-1))/(50+4x-2x3)

Q: cotx da cos I da sin r 3.

A:

Q: Shaw Abooraically that Fand 6 ace.ivee F)=-3x2+5,X20 gW=D5-x 3. theN explain why a restriction was p...

A: if we have to find inverse of function then interchange the x to y and we get f-1x.if y=fxx→yx=fyy=f...

Q: 4. y = 2xi+x“

A:

Q: Find the derivative of y = xV*. Be sure to include parentheses around the arguments of any logarithm...

A:

Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y = x...

A:

Q: The arc length along the parabola y = x² from (1,1) to (2,4) is given by which of the following inte...

A: Let's find. 

Q: B. Use the properties of continuity to determine where each function is continuous. 1. f(x) = 2x*x +...

A: Let's find. 

Q: ) Find | sin can) cas (ga)da cos (gx) dx

A:

Q: A waste management company is designing a rectangular construction dumpster that will be twice as lo...

A: Explained below

Q: 83. The acceleration of a particle moving along the x-axis is given by a(t) = (t- 8)sin t for 0 <IS ...

A: we know a(t)=d(v(t))dt where a(t) is the acceleration, v(t) is velocity and t is time. The particle ...

Q: f(x)=5sin(x)cos(x)on(−π,π)f(x)=5sin(x)cos(x)on(−π,π) a) Find the critical numbers of ff.  (Separate ...

A: Solution is written in below steps.

Q: 4cosx + 2sinx at x = 2

A:

Q: • TT 2. sin? cos' –dx 2

A:

Q: B. Use the properties of continuity to determine where each function is continuous. 1. f(x) = 2x*- x...

A:

Q: 4. Find the volume of the wedge cut from the first octant by the cylinder z = 12 – 3y², and the plan...

A:

Q: om the table, determine the following limits. I-5 1. lim I-3- I-3 HI5 4. lim I-3- r2 - 6r +9 5. lim ...

A:

Q: Use cylindrical coordinates. Find the volume of the solid that is enclosed by the cone z = x² + y² a...

A:

Q: 1 1 9. dx I (# – 1)(x² + 4x + 5) In |x – 1|+ 10 In a? + 4x + 5| - 20 13 arctan(x + 2) +c 10

A: First we use partial fraction decomposition and then evaluate the integral.

Q: (r +1)' sin x (c) lim - 2.x X-0 sin x (d) lim- X-0 20' lim + sin 0 (e) 40

A: According to our guidelines we can answer only three subparts. Kindly repost the otherquestions in t...

Q: 3. s varies directly as r and inversely as square of difference of q to t. If s=12 when r=10, q=5 an...

A: Question: S varies directly as r and inversely as square of difference of q to t .If s=12 when r=10 ...

Q: Question Find (f-)'(a) for f(x) = Vx + 5 when a = 2. (Enter an exact answer.) Provide your answer be...

A:

Q: Find the area of the surface obtained by rotating the curve y = 5x° from x = 0 to x = 9 about the x-...

A: Let's find. 

Q: Exercise 2 Find symmetric equations of the normal line to the surface 4 + y – 162 = 0 at (2,4,2). (a...

A: Given surface is     4x2+y2-16z = 0We will find the symmetric equation of the normal line to the sur...

Q: Consider

A: Please refer to the image below

Q: KIDAPAWAN CITY CA sin a = 1 to obtain the limit of the following: II. Apply lim a-0 a sin5x 1. lim x...

A:

Q: 2ce2x Curves y = 1+ce2x

A:

Q: I Find the second derivative (y") of the following functions and simplify the final results. 6. y = ...

A: Topic:- derivatives  Note :- as per our guideline if more than one question uploaded than only first...

Q: Determine whether the series is convergent or divergent. Write the exact TEST that you use. 9. ens n...

A:

Q: If the second derivative of the equation of a curve is equal to the negative of the equation of the ...

A: