(a)the curl and (b)the divergence of the vector field. F(x,y,z)= ln(2y+3z)i+ln(x+3z)j+ln(x+2y)k

Q: Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify…

A:

Q: Given the power series 2 (-1)" x" n = 0 Find the Derivative of the Power Series. x (n + 1) d A 2…

A:

Q: Find Laplace ice transforms of the ictions: suonpun f(t) = t – 2e3t

A:

Q: Let f(x) be the function 10x - 2x + 9. Then the quotient f(4 + h) – f(4) can be simplified to ah + b…

A: f(4+h)-f(4)h=(10(x+h)2-2(x+h)+9)-10x2-2x+9h=10x2+10h2+20xh-2x-2h+9-10x2+2x-9h=10h2+20xh-2hh=h(10h+20…

Q: 30 25. 2 k(k – 2)(k + 2). - k=1

A: "Since you have asked multiple questions, we will solve first question for you. If you want any…

Q: 1. Use implicit differentiation to find an equation of the tangent line to the hyperbola - * = 1 at…

A:

Q: 1) Find the area of the region that lies inside the curve r =1-sin 0 and outside the curve r= 1.…

A:

Q: Given the Power Series E A, (x - *)" n = 0 The radius of convergence ( L) is given by the rec A L =…

A:

Q: For eac. ation, determine whether it represents a direct variation, an inverse variation, or…

A:

Q: 3. S(3Vx + dx 2 (x+3) + C

A: Topic = Integration As per guidelines , At a time only one question can be answered out of different…

Q: separate šhëët. 1. Find the equations of the tangent and normal lines to the curve y = x² + 2x + 3…

A: As per Bartleby guidelines rule I am answering only first question as other questions are not the…

Q: The length of the curve y = 3 - 4Vx for 0 < x < 3 is calculated by the integral: %3D Select one: 3 O…

A:

Q: 1 Find the points at which the graph of the equation 4? + y² – 8x + 4y + 4 0 has a vertical or…

A:

Q: 1. A small metal bar whose initial temperature was 20°C', is dropped into a large container of…

A: As per as our guideline i am supposed to answer only one question. please repost remaining question

Q: Value A projectile is launched straight up in the air. Its height (in feet) t seconds after launch…

A:

Q: How would you explain to someone that sqrt(16) = 16^(1/2) ? Like why is it the same if you were to…

A:

Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, Р(7,…

A:

Q: Justify your answer whether the following functions are continuous or not at a certain point or…

A:

Q: Zvaluate the given indefinite integral. Show your detailed solution. (Non-anonymous questionO) 2x2…

A:

Q: Find the area of the region bounded by y = 2x , y = -8x and y = 2 %3D using double integral. Leave…

A:

Q: Find the area of the region lying to the right of x = y? + 16y + 29 and to the left of x = 6y + 8.…

A:

Q: Assessment Identify whether the following functions are continuous or not. Write your solutions on a…

A:

Q: Assignment 2: Find the Laplace transforms of the given functions. Direction: Copy and solve the…

A:

Q: бх-7 7. S dx (2х+1)(4x2+1)

A:

Q: 9 п+7 00 is divergent. n=1 1+7 n Select one: True False

A:

Q: EXAMPLE 2 Show that the vector field F(x, y, z) = 4xzi + 5xyzj – y²k is not conservative. SOLUTION…

A:

Q: Syppose that Ts Cx) centered at a for f(x) is giver by T5 (x) = 3+5(x-2) +8(x-a)?+a(x-2)+ (x-2)5.…

A:

Q: T 15 dx The integral is equal to

A:

Q: Determine whether each point lies on the line. x = -1 + t, y = 3t, z = 3 + t (a) (0, 3, 4) O Yes O…

A: The given equation of the line is  x=-1+t, y=3t, z=3+t we have to find whether the given points lies…

Q: f(x) = 2x sinh(x - 1) + 2* – x %3D

A: answer is in next step

Q: Consider the following vector field. F(x, y, z) = 8xye²i + yze*k (a) Find the curl of the vector…

A:

Q: +00 (-1)" The Maclaurin series expansion of tan-1I is given by tan¬ I = (2n + 1) 2n+1 for r €…

A:

Q: c)Test the series Ln =0 3n+1 for convergence or divergence.(write C or D) Answer:

A: This question can be solved by applying ratio test.

Q: 2 - x Determine all points at which f(x) = is differentiable. Justify your answer 2r2 - 8

A: The graph of f(x) is shown below :

Q: E 2na". n=0 Based on the Ratio Test, which of the following conditions on x will guarantee that the…

A: Ratio Test : Suppose we have the series ∑ an . Define,                         L = limn→∞…

Q: A triangle with its vertices lie in a circle of radius 13. If the two sides of the triangle are 12m…

A:

Q: 4 Ay 10- Given the graph to the right, find f(x)dx. 8- 0. 6- 4- 2- 4 6 8 10 4 f(x)dx:

A:

Q: Test the series below for convergence using the Ratio Test. n° 1.3" n=1 The limit of the ratio test…

A:

Q: 1. A function g is defined as 22 if a 1' g(x) Is it possible to find a value of the constant k that…

A:

Q: dy x +1 xy %3D dx

A:

Q: Find the limit of the sequence an 14n+2 or 2+7n indicate that it is divergent. Select one: O…

A:

Q: The limit of the sequence a, = (-1)"2 is equal to %3D Select one: True O False

A:

Q: Eliminate the arbitrary functions and hence obtain the partial differential equations:   z = f(x *…

A:

Q: Find the net area and the area of the region bounded by y = 11 cos x and the x-axis between x= - and…

A:

Q: 3x2 lim 6. x→(-2) 2а — 8 x² – 4

A: As per Bartleby guidelines rule I am answering only first question as both question is different and…

Q: 17. cos 2x + 3sin2x = 4 - 3sin?x %3D

A:

Q: Item 1. Consider the given: x³ – 4x2 8(7x – 4) (x + 2)4 х(х + 8)(х — 2) f(x) = (x + 2)2 . (x + 2)2…

A:

Q: 3. Find the absolute maximum and the absolute minimum of f(x) = x-2 tanx on the interval [0,4].

A:

Q: Using the graph, determine the values of c such that  (please see the attached photo) exists,…

A: Solve the following

Q: : Consider the differential equation y" – 2y – 3y = 5 cos(2x). a) Verify that the family of…

A: Given y(x)=c1e-x+c2e3x-713cos(2x)-413sin(2x)initial conditionsy(0)=-4 and y'(0)=4