00 Does the seriesE 1 converge or diverge? Give a reason for your answer. 15n - 1 n=1

Q: 2 -a - 12a? + 70x – 60. Find all local extreme values of f(x) at The FIRST local extreme value, movi...

A: Given :- f(x) =(2x3/3) -12x2+70x-60 find:- All local extreme values of f(x)   

Q: -) For the function f(t) = 16t3 - 40t consider the definite | integral "f(t)dt -1 a) Evaluate this i...

A:

Q: Sand falls from an overhead bin and accumulates in a conical pile with a radius that is always three...

A: Given: Data is given.     r = 3r     dh/dt = 3 , when h = 10  

Q: (2) (4)() 4. How did he get the value inside the circle? Can you explain step by step?

A: Here,Upto I=12β(12,32)    is correctNow, I=12β(12,32) We know,β(m,n) = ζ(m) ζ(n)ζ(m+n)     (where ζm...

Q: *+9x +20x Determine all the vertical asymptote/s of f(x) = if there are any. x* +x-12 X=-5

A:

Q: The solution of the following homogenous differential equation y' = is x+y :- · In(y) = C y + In | =...

A: Differential equation

Q: Question Select your answer. Which of the following functions is continuous at any point 1 7 * = c? ...

A:

Q: Evaluate the integral below using any appropriate algebraic method or trigonometric identity. T/6 2 ...

A: Find your answer below 

Q: Q2: find the integral of trigonometric function cos sint dx

A: To evaluate the integral: I=∫0πcos5x sin4x dx⇒I=∫0πcos4x sin4x  cos x dx⇒I=∫0πcos2x2 sin4x  cos x dx...

Q: 2 v = a[ (6-x') -(6-(-x'+4)) dx

A:

Q: Using differentials, determine the approximate increase in the surface area of a sphere if the radiu...

A: Topic:- application of derivatives

Q: Find the function value, if possible. (If an answer is undefined, enter UNDEFINED.) f(x) 3D Зх — 4 (...

A: solution is given below.....

Q: Select ALL possible answers. Which of the following is/are true of f (x) = x²(x + 3)²? A. The functi...

A: answer C the function is continuous everywhere because here  not any value of x in denominator  so i...

Q: What is the x-coordinate of the x-intercept of the line 2 = 1 when it is graphed in 3 5 with equatio...

A:

Q: Does the sequence {a,} converge or diverge? Find the limit if the sequence is convergent. In (n + 4)...

A:

Q: Solve using fragmentation of fractions 1 dX x(х — 1)?

A:

Q: How fast is the volume of a cube changing when the edge is 15 cm if the edge is changing at the rate...

A:

Q: 10. Find the equation of tangent line to the graph of f(x) = 2x – x³, at the point(-1, –1). %3D

A: Find your answer below 

Q: DO NOT include spaces in between characters. * a 1-cos5h Evaluate ļim h→0 cos7h-1'

A:

Q: If the length of the hypotenuse of a right triangle is 10, find the length of the other sides when t...

A:

Q: Find fxy(-1, 2) if f(x, y) = 3xy2 - 2y + 5x2y2 O 34 O -28 40 O-32

A:

Q: dy3 5)if y =x6 - 3x4 + cos x then y a) 360x2 - 72 + cos x b) 6x5 - 12x3 + sin x c) 120x3-72x + sin x...

A: Reupload other questions according to bartleby guidelines

Q: Where should the point:p be chosen on the line segment So as to maximize the angle o ? AB 2

A:

Q: 3. Given the matrix below, determine the following: a. Transpose of the matrix b. Determinant of the...

A:

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A:

Q: sin x cos“x tan® x dy Given that y = find using dx logarithmic differentiation. dy dx ||

A:

Q: Find the quotient. Cos(pi)+isin(pi)/cos(5pi/6)+isin(5pi/6)

A:

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 00 5 + n 4n...

A:

Q: Find the value of b for which the differential equation (yel0zv + x) dx + (bxe10wv) dy = 0 10xy is e...

A: Let's find. 

Q: Express the given integrand as a sum of partial fractions, then evaluate the integrals. 1 2y +9 dy y...

A:

Q: b. y = |x| – 2 and the x axis C. y = sin x and y = – sin x from x = -n to x = n

A:

Q: Find the difference quotient and simplify your answer. f(x) – f(64) X – 64 f(x) = x2/3 + 1, X # 64

A: We know, (a²-b²)=(a-b)(a+b) (a³-b³)= (a-b)(a²+ab+b²)

Q: The bus took 7 hours 26 min to travel from Bloemfontein to Grahamstown. Talculate the average speed ...

A: Distance = 597km  time = 7 hour 26 min                                                =  7.433hour

Q: Find the sum of the convergent series. 6 0.6 +0.06 + 0.006 +. .

A: Given,Sn = 6 + 0.6 + 0.06 + 0.006 + 0.0006 + ..... = 6.66666...    110 Sn = 66.66666....            ...

Q: Select ALL possible answers. Which of the following statement/s is/are true of the function whose gr...

A:

Q: in yy = 2 y-x; %3D

A:

Q: Use the nth-term test for divergence to show that the series is divergent, or state that the test is...

A:

Q: 00 2 Write out the first few terms of the series 2 (- 1)" What is the series' sum? 3" 57 n= 0

A:

Q: For a survey, students were assigned to either Ror group V. Combined, the students in both groups an...

A: Given problem:- For a survey, students were assigned to either group R or group V. Combined, the stu...

Q: Find a domain on which f(x) = (x −3)2 is one-to-one and non-decreasing, then find the inverse of f r...

A:

Q: х-2 Determine lim x→2- 2-V4x-x2 Your answer

A:

Q: Find the derivative of the following exponential and logarithmic functions: (i) ecosx-sinx ii. In(3x...

A:

Q: 4n + 4n + 1 an 2n + 1

A:

Q: An antiderivative of 피(22 - 1)3 is (2² – 1)4 8 Select one: O True O False

A: The given question can be solved as shown in step2.

Q: and solve the equation + (4.ry – e v) dy = 0. | constant

A:

Q: Gravel is being dumped from a conveyor belt at a rate of 30 ft/min, and its coarseness is such that ...

A:

Q: Is the function f (x) below continuous on [3,+0)? (0, x > 0 X, 0 3 Choose

A: This question is related to limit and continuity, we will solve it using given information. 

Q: (-x + 3, if x 3 (0,

A: Note :- these are multiple questions and according to our company guideline we can do maximum one qu...

Q: 24. Maximizing Area A wire 10 cm long is cut into two pieces, one of length x and the other of lengt...

A:

Q: Evaluate the function for the given values. h(x) = [[x + 6 ] %3D (a) h(-5) (b) hG) 2 (c) h(4.6) (d) ...

A: