(p² –1)cos[cosh (In r)]dr

Q: 1. a) Consider the function z = t², in which t = x – y. Use chain rule to compute dz the partial der...

A: "Since you have asked multiple question, as per our guidelines we will solve the first question for ...

Q: Determine whether the sequence converges or diverges. If it converges, find its limit {cos (n(pi)+(...

A:

Q: The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% per y...

A: Given population of world in 2015  was 9.75 billionlet   for t=0 , we have year 2015

Q: a. Graph f(x) = 0, x= 3. b. Find lim f(x) and lim f(x). x-3 x-3+ c. Does lim f(x) exist? If so, what...

A: We have find graph and check limit exists yes or not, if exists the we have to find limit

Q: 3. Determine f(x) = x2 + x-2 is continuous on the given interval (-0,+0) (show graph and its table o...

A: Here, the given function is: f(x)=x2+x-2 And the given interval is (-∞,∞).

Q: Water is leaking out of an inverted conical tank at a rate of 10,000 cm3/min at the same time that w...

A:

Q: EX:- Show that f dw = VE Terfcb) -erf ca] (ntb dw = E [erfcb) -erfca)] (ngby. Sol:- 9. ē" dw 2. Ff c...

A:

Q: Find the area of the region bounded by the curve y = Vz – 1, the y-axis and the lines y = 1 and y = ...

A: See the details solution in below

Q: Solve using horizantal Slide EX Evaluat.f.x.d. whae..is.the..sm.in.the fring .. .quadrant..baunded.l...

A:

Q: Which of the following integrals is equivalent to dy O none of these O 4f sec? 0 tan ed0 O 2 sec? 0 ...

A:

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the const x2 – ...

A: ∫f'(x)f(x) dx =lnfx+C ∫ax+bn dx =1a.ax+bn+1n+1+C ∫1x2+a2 dx =1atan-1xa+C

Q: find all horizontal and vertical asymptotes (if any). (if an answer does not exist, enter DNE.) s(x...

A:

Q: The figure below shows the contour map of z = f(B, t) which gives the balance in a bank account (in ...

A:

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b). (Select all tha...

A: The function is  f(x)=(x-2)(x-5)(x-7)

Q: DIRECTION: Solve the following problems in neat and orderly

A:

Q: x' +4 a. lim X-4 x-2 %3D x² -1 b. lim- xl x' -1 Vx - Ja lim- с. х —а

A: topic - limits

Q: Find the inverse of g(x) = 7x+9. g(x) = (Simplify your answer.)

A:

Q: 16. Suppose that over a region of space the electrical potential V is given by V(x, y, z) = 5x² – 3x...

A: We have to find direction in which V change the most rapidly at P and maximum rate of change at P. W...

Q: Hw Find and Jw fok the following functions w-ex sincxty}

A: To find the partial derivatives for the given functions.

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A:

Q: Given the differential equation, its particular solution, and its wronskian y" + 1ly' + 18y = 14 e* ...

A:

Q: - 4

A:     ∫1yy8-4dyLet u=y8.=∫18uu-4du=18·∫1uu-4duLet v2=u-4. =18·∫2v2+4dv=18· 2·∫1v2+4dvLet v=2w.=18· 2·∫...

Q: Find the following limit value. Show all work and proper limit notation. 9х + бх2 — 8х5 lim 3x2 + 8x...

A:

Q: - dx 2. S e* + e*

A:

Q: The dimensions x and y of an object are related to its volume V by the formula V = 6x°y. dV related ...

A:

Q: Jrin m In(cos m) dm

A:

Q: find all horizontal and vertical asymptotes (if any). (if an answer does not exict, enter DNE. enter...

A: To find Horizontal Asymptotes of rational function p(x): Let  p(x) = f(x)g(x) , where:       f(x) is...

Q: Consider the function given b f(x)= 4/(x-2). a. Find where the function is concave up and concave d...

A:

Q: dx 4) S xVx2-9 x2 dx 5))S To 9-x2

A:

Q: Which of the following represents the derivative of f(x) = 4x3 4 1? x2 Select one: 2 f'(x) = 12x² + ...

A: Given query is to find the derivative of the expression.

Q: An instructor gives the same y vs. x data as given below to four students and asks them to regress t...

A:

Q: he perimeter of a rectangle is 28 feet. Let one side be x feet long. Show tha o value of x for which...

A: Given: - The perimeter of a rectangular is 28 feet. Let one side be x feet long. To show: - There is...

Q: Given the combined differential operators for a given differential equation (D² + 16) D² (D + 10) De...

A: We have to find the general solution to the given differential equation.

Q: Suppose that a piston is moving straight up and down and that its position at time t sec is given by...

A: Explained below 

Q: Current Attempt in Progress Find the rate of change of a population of size P(t) = t + 5t + 6 at tim...

A: Rate of change

Q: (1+cot 0) de 5. sin e4 - cote

A:

Q: f(x) = 2. Can you conclude anything about Suppose that f(x) and g(x) are polynomials in x and that l...

A:

Q: sin 3x 39.lim tan 6t 41. lim 50 sin 21

A: We will use the l'hospital rule to fine the limit of 39.  To fine limit 41. We will use the basic al...

Q: A rancher has 300 feet of fencing to enclose two adjacent rectangular corrals, as shown in the follo...

A: A rancher has 300 feet of fencing to enclose two adjacent rectangular corrals, the equation describi...

Q: For what values of the constants A and B is the polynomial function Ax 2. 2 4 f(x, у) %3D Ах + Bxy +...

A:

Q: The cost of recycling q tons of paper is given in the following table. q (tons) 1000 1600 2200 2800 ...

A:

Q: The slope of the tangent line to the differentiable function f at the point (2, f(2)) is [(2+Ax)-f(2...

A:

Q: Question 4 In a concert hall, the ceiling can be described by the plane x + y+ z = 30. An audio engi...

A:

Q: x-intercept  (x,y)=           (smaller x-value)

A:

Q: Determine whether the seauence converges or diverges. If it conveges, find the R lo0?+nl00+(nn) 00 n...

A:

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is inc...

A: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is inc...

Q: Determine whether the seauence converges ordiverges. If it conveges, find the 00°+n100+(Inn)loD an=

A: Let an=100n+n100+(ln n)100+100n+n+1

Q: Find the Taylor polynomials of orders n = 0,1,2,3, and 4 about x = x0, and then find the nth Taylor ...

A: We will find the Taylor series of the given function about x=ln(6)

Q: Use the definition of the derivative to find the derivative of f(t)=8−7t.

A:  Question :Use the definition of the derivative to find the derivative of f(t)=8−7t.

Q: 5. f(x) = 2x² – x + 6 for all values of x 6. f(x) = 5 at x = 2 x-2

A: On solving this we will get