dx 8. Evaluate the integral / zlnrV(In x)² – 8 x In a V(In a)2 – 8 |

Q: Change the following polar equations to rec 6. 12. r = 4-cose

A:

Q: A commodity has a demand function modeled by p = 108 – 0.5x and a total cost function modeled by C =…

A: Here, the demand function is: p=108-0.5x And, the cost function is: C=30x+34.75 where x is the…

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,…

A: We need to evaluate :

Q: - If f(r) = e² is a solution of xy" – (r + 1)/ + y = 0. Then, the general so (A) y = c1e² + c2e=z…

A: Answer is in next step     option  E is correct.

Q: Integrate 1 x + 1 dx x + 1 2

A:

Q: c2 1 dx x² +1 4. e* + 0.

A:

Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

A:

Q: 6x? + Sx t 16 dx +2x +6 x + 3? a.Sinlat3l+; 4 Cが)返が)+c er none

A:

Q: 1 2" 3" 1 Find the sum of the convergent series. n-4

A:

Q: f 3p2tanip dp

A:

Q: y" + 4y= cos'x

A: Given: y"+4y=cos2x

Q: 1. 3p² tan¯p dp

A:

Q:

A:

Q: 72 a, = 5, an +1-1+ an

A:

Q: -Sune +1

A: This question is based on solution of Trigonometric equation.

Q: 8x? -x t 8 x (x² + 4) 9. b.4mx4 3m (x+4-ラ4an)tc c. qlnxf 6m (x"+4)-Arctan )t c d. 2mxt 6m Ge?+4) -…

A:

Q: Acos'e -3=-4cos0

A:

Q: h(x, y) = : x³ – 3x + 3xy? 2

A:

Q: Find the volume generated by revolvingg the area bounded by the given curve and awd lines y = x', x…

A: Volume generated by revolving the area bounded by curve  y=x3  and line x=0  and y=8 (that is 8=x3…

Q: ArcTanx — х 1) lim x→0 х3 Тапx

A: We need to apply l'hopital rule which is described below.

Q: A deli sells 720 sandwiches per day at a price of $6 each. ... A market survey shows that for every…

A: Let price reduce x times Price of deli = 6 - 0.1x Number of deli sells = 720 + 20x   Revenue

Q: is this a ratio test or a nth term test

A: Here, the given series is: ∑n=1∞(n+18)!18!n!18n

Q: Test the series for convergence or divergence using the Alternating Series Test. (-1)^ - 1 5+ 7n n-…

A: Here, the given Alternating series is: ∑n=1∞(-1)n-15+7n

Q: 2. For the parametric equation shown below, determine the value of (dy/dx) and (d²y/dx²). X = 3t? –…

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question. Please…

Q: Consider the points A(2, –1,3), B(7,0,5) and C(0, 1, 7), and the line l with symmetric equation 3 =y…

A:

Q: 2. Evaluate the integral / 2 (a³ + 3)/4 dx. 4 4 (a) 5(23 + 3)/4 + ( +3)5/4 + C 27 27 (b) 푸(고+3)%4…

A:

Q: Jse the linear approximation to estimate AS = f(3.1) – f(3) for f(x) = T Use decimal notation. Give…

A: Here, the given function is: f(x)=31+x2⇒f'(x)=3-1(1+x2)2(2x)=-6x(1+x2)2

Q: A supermarket sells two brands of coffee: brand A at $p per pound and brand B at $q per pound. The…

A: Revenue = price per unit × number of units.

Q: (3,2,4) m = i +j+k r2: А %3D (2,3,1) В %3D (4,4,1) r: A = (a) Create Vector and Parametric forms of…

A: Given problem:- r₁:  A = (3,2,4) m=i+j+k r2 : (2,3,1) B = (4,4,1)   (a) Create Vector and Parametric…

Q: Find Valke of nhegal Sxdx X dx

A: To evaluate the given integral

Q: 1 е. (s²+1)(s²+4s+8)

A:

Q: Find the Inverse Laplace of the following 6s – 4 s2 – 4s + 20 2e-24 cos 4t + 8e " sin4t Option 3…

A: Explanation of the answer is as follows

Q: Evaluate the integral by any method. NOTE: Enter the exact answer. dx 3+ x4 %3D

A:

Q: For the curve defined by *(t) = 2 cos(t)i +2 sin(t)j + 3tk evaluate F (2)||du S = to find the arc…

A: Given that the curve  r→t = 2 costi→ + 2 sintj→ +3tk→  = f(t)i→+g(t)j→+ h(t)k→        we  have to…

Q: Use the method of cylindrical shells (do not use any other method) to find the volume of the solid…

A: Volume of solid bounded by y=f(x), x axis and  x=a to b is given by below:

Q: Use (a) bisection method and (b) false position method to find the solution to the following within…

A: Note: There are multiple questions. Few questions has multiple subparts.No specific question has…

Q: Evaluate sin (44º) + cos (29º) using differentials. Refer to special triangles.

A:

Q: 0:32:4 Consider the solid obtained by rotating the region bounded by the given curves about the…

A: Given problem:- Consider the solid obtained by rotating the region bounded by the given curves about…

Q: Use the Linear Approximation to estimate Af for f(x) = when a = 2 and Ax = 5+x (Use decimal…

A: Linear approximation is an approximation of a function with the help of a linear function.  Suppose…

Q: (D - 2D + 4)y = 0 ; y= - 2, Dy = 8, D²y = 0, when x = 0.

A:

Q: x2 - x 1+ 3x? – 2x3

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: ²+² +1) d + a (a – 2y) dy = 0 %3D

A: Given problem:- Find the solution of the given differential equation:  (x² + y² + 1) dx + x (x - 2y)…

Q: the

A: We have to choose the correct option from the given options according to the given information

Q: f36-y (x +y?) dx dy 6 36 - y- 0 0

A:

Q: (D² – 2D – 3)y = 64xe³*

A: The given differential equation is:D2-2D-3y=64xe3xWe will solve this by method of undetermined…

Q: Find dy/dx if ylnx + y^2 = 0.

A: According to our guidelines, we can answer only one question or three subparts of a question.

Q: 1 3. Let f(r, y, z) = Show that Va? + y? + z²° frz + fyy + fz: = 0.

A: answer is in next step

Q: give me an example of properties of definite integral

A:

Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + z subject to r? + y…

A: Given

Q: sinocose-3 Sune =0

A: