Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. If it diverges to infinity, state your answer as INF. If it diverges to negative infinity, state your answer as MINF. If it diverges without being infinity or negative infinity, state your answer as DIV. 6n° + sin (5n) lim nº + 15

Q: Evaluate the given function ſ sec5xtanxdx a. sec*x + C b. sin*x + C c. cosx + C d. 금esc5x + C

A: topic - indefinite integral

Q: 2y" + 7t y' + 9y = 0 betermine the Characteristic Equation for the Differential Equation and then So...

A: Topic:- differential equation

Q: a) Queen Beyoncé's yacht will be leaving from Port Destiny and traveling on a straight line to an is...

A: Each part of the problem is solved below in detail.

Q: Find the limit of lim 7+8x+9x4 x4

A:

Q: 3. 2. 13) tan -1 3. V3 15) sin- 17) tan-1 1. 19) sin--

A:

Q: Use algebra to simplify the expression before evaluating the limit. In particular, factor the highes...

A: Our Aim is to evaluate the limit of the expression given below:-limn→∞2+8n+7n26n2-5n+7 -(i)

Q: Evaluate the definite integral ग ( -मुआा) using Part 1 of the Fundamental Theorem of Calculus. Remem...

A: We have to find integral

Q: (2xy + 1)dx + (x² + 4y)dy = 0 (17) (18) (6xy + 2y² – 5)dx + (3x² + 4xy – 6)dy = 0

A: 17)   Given that 2xy+1dx+x2+4ydy=0  Here  M=2xy+1,       N= x2+4y Therefore     ∂M∂y=2x,            ...

Q: Given points P(2, 4, 3) and Q(1, -5, 2) in the rectangular coordinate system. What is the resultant ...

A: Given points P2,4,3 and Q1,-5,2  in the rectangular coordinate system.We need to find the resultant ...

Q: Determine the equation of the curve whose tangent line at any point (x, y) is e*- cos x and passes t...

A:

Q: CAn equation of the plane through the point (2, 5, 7) that is parallel to the line 7 (t) = 3î + 2ĵ -...

A: Given problem:-  Find an equation of the plane through the point (2, 5, 7) that is parallel to the l...

Q: Determine whether the integral is convergent or divergent. 1 5 dy 4y - convergent divergent If it is...

A:

Q: 4x-3 Consider the function f(r) Compute each of the following. Simplify your answer and use %3D I-1 ...

A:

Q: d) Graphs of the revenue and cost functions are shown below. Answer the following questions. R(x), C...

A: topic- functions 

Q: Determine the solution to the initial value differential equation 4 y'+ 4 y = 5 e3 x y (0) = 14 y (x...

A:

Q: se the definition of the derivative to find the derivative of: f(t) = -4 – 2t. (t) =

A: Topic:- derivatives

Q: 2. x + ( 1+x)y = e * sin2x dx

A: Tp solve the following differential equation

Q: Find the equation of the curve for which y" = x, and which passes through the point (1, 2) with a sl...

A: NOTE: Refresh your page if you can't see any equations. . take integration  ...............(1) at ...

Q: 8. fx,y) = sinx cos y

A:

Q: Eliminate the arbitrary constants b^2 x^2 - a^2 y^2 = a^2 ^b2

A:

Q: 3. Find the 8th term in the binomial expansion of (x² + y³)10. correct combination, evaluating combi...

A: The nth term of the binomial expansion of (a+b)n is given by: Tr+1=Crnan-rbr...(1) Here, to find the...

Q: 10. y(2x3 -x?y + y³)dx - x(2x³ + y³ )dy = 0

A:

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

A: Given that: limn→∞nne-8n

Q: Let f(x,y) = 5xy² + 4x*y. Find and ayöx dx дхду дудх

A:

Q: lim, 5 f(x) = 2, what is the value of 2 lim, 5[f(x)]° ? О а. 6 O b. 12 c. О с. 8 O d. 16

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

Q: Determine whether the sequence an 13 23 n3 converges or n4 diverges. If it converges, find the limit...

A:

Q: The accompanying graph shows the hypothetical cost c= f(x) of manufacturing x items. At approximatel...

A: Solution ) cost  c = f(x) Marginal cost = d c/ dx                            = f'(x) Change in margi...

Q: d The power rule for finding derivatives is dx for all exponents n. 9 as 9Vn for some n. V In order ...

A:

Q: 3. (10 — 6у + е 3а) da — -32 2dy = 0

A: The given differential equation is: 10-6y+e-3xdx-2 dy=0

Q: 49 -dx. Find the antiderivative of 7* (A) + C In 7 (B) + C 2 In 7 2 In 7 + C 7* In 7 + C 7* D

A: The given integral ∫49x7xdx

Q: y = In (sin x²)

A:

Q: * +3 Vx -dx ? What is the antiderivative of 1/3 (A 6x2 C B 9x /½, ,/3 + C + 2x © x (2x% +9) + C D + ...

A:

Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing no...

A: In this question we have to find how fast is the distance between the ships is changing at 4:00 PM.

Q: f(t)=16t^2-64t, then f’(t)=

A:

Q: Assume that ƒ(x) dx = 12, and f(x) dx = 9. Given that f (x) is positive on [0,4] and %3D negative on...

A:

Q: x² – 6 f(x) x+1 > graph of f(x) as x approaches negative infinity -20 -10 10 20 30 40 graph of f(x) ...

A: Solution of question is written in below steps.

Q: On which interval does the function f(x) = (x+ 5)/(x - 1) discontinuous? %3D O a. (1, 2) O b. (-2, 1...

A: topic - limits and continuity

Q: The cost function for production of a commodity is C(x) = 386 + 29x - 0.07x2 + 0.0005x. (a) Find C'(...

A:

Q: ii. 0.9,0.99,0.999, 0.9999,..

A: This can be written as  9/10, 99/100, 999/1000, 9999/10000..... (10-1)/10, (100-1)/100, (1000-1)/100...

Q: Sketch the direction field of the D.E. y = y - t and the solution curves corresponding to y(0) =-1, ...

A: Solution of question is written in below steps.

Q: 5. What term number contains x* in x' + identifying the exponential pattern on the variable x, ident...

A:

Q: Determine the solution to the initial value differential equation y'+ 3 y = 4 x y(0) = 3 y (x)=

A: First order differential equation : Consider the first order differential equations                 ...

Q: dx ? What is the antiderivative of the integrand 2e* A) -2 e + C B *+ C - 2e * + C + C 2 D

A: The given integrand 12exdx

Q: Suppose we need to find an equation of the plane that passes through (1, 2, -2) that contains the li...

A:

Q: x^2(lnx-lny)dy=y(ylny-ylnx)dx

A: Explained below 

Q: Given the differential equation y" - 6 y' = 0 Determine the Characteristic Equation for the Differen...

A: First we find out the characteristic equation of the given differential equation.

Q: Sequences: A sequence is of the form а1, а2, аз, а4, ... where the an are real numbers. Technically,...

A:

Q: 2) tan-1 1 4) sin-- 6) tan-1 V3 2.

A: topic - inverse trigonometric functions

Q: 49 -dx Find the antiderivative of 7* + C 2 In 7 A 7* + C In 7 (B 2 In 7 + C In 7 + C 7* D

A: topic - indefinite integral

Q: 3cos3x (3cos³x - 1 1- sin?x To evaluate dx, the integrand can be transformed to

A: Given: - The integral is, ∫3cos3x-11-sin2xdx To find: - The given integrate can be transformed to. O...