Let a be a real number. Consider the series Σ where an = cos(n7) An, 2n +1° n=0 Find all a > 0 such that the series diverges. Find all a > 0 such that the series converges absolutely. Find all a > 0 such that the series converges conditionally.

Q: Given that y = ebx tan(: dy dx dy dx ||

A: y = e6x tan(5x)ln y = 6x tan(5x)Differentiating w.r.t  x;1ydydx =6x ddxtan5x + tan5x ddx6x1ydydx =6x...

Q: Question 1: Consider the linear function defined by: f(x) = -3x + 2 (a) Calculate: f(-1), f(5) (b) D...

A:

Q: (- 1)"x"* 1 (n+1)! Consider the series n=D0 (a) Find the series' radius and interval of convergence....

A:

Q: 6. Let a be a real number. Consider the series Σ an = cos(nT); 2n +1 an, where n=0 Is it possible to...

A:

Q: Using double integration, find the volume of the solid bounded by the plane z = 0 and above by the p...

A: Using double integration, find the volume of the solid bounded by the plane z = 0 and above by the p...

Q: (x + h)³ – x3 lim h→0 h Hint: answer is an expression involving variable x

A:

Q: Complete the following table. 2 x2 ±1 +0.5 +0.1 +0.01

A:

Q: EX+ Prove that [X Ju cx)] = x'Jr-, cx) Solp 2. ヘャut 2m+2V (-1)" X 2m+V (m!)P(m+v+1). neno 2m+2U-1 (-...

A: Property of gamma function: Γ(m+1) = mΓ(m) ............. (1)

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: Choose 1. Determine the radius of convergence and interval of convergence. (x- 2)" ' (n+ 1)3" 00 n=1

A: Radius of convergence = 3

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A:

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

A:

Q: 4-Vx lim x→16 16x-x² COMPLETE SOLUTION. I'LL UPVOTE. THANK YOu

A:

Q: 13- Find the volume V of tetrahedron bounded by the coordinates planes and the plane z = 6 - 2x + 3y

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

Q: V. Show that: 1. [(cosx-sin x)'dx = x+ cos 2x +C 2.

A:

Q: answer

A: We will find the value of x

Q: Show that the differential equation ry'+x(1+y')y = 0 is not exact, but becomes exact when multiplied...

A:

Q: Given that y = (1In(x))?m(=), find dy using the method of logarithmic dx differentiation. dy dx ||

A:

Q: Σ (-1)", n = 0 40

A:

Q: n!

A: Find your answer below 

Q: find the product. leave the result in trigonometric form. [7/4(cos(150degrees)+isin(150degrees)][1/4...

A:

Q: Determine the point/s of discontinuity, if there is any, and the type of discontinuity at that point...

A:  

Q: Calculate the outward flux F*n ds where F = (x^3, y^3) and C is the boundary of the region x^2 + y^2...

A:

Q: Set up (Do not Solvel) the volume of the solid whose base is bounded by the graphs of y = x + 1 and ...

A:

Q: (b) Let z = 24695 + 99288 i. Enter a square root of z, in maple syntax, in the box below.

A:

Q: QUESTION 16 In(cos(2x)) Evaluate: lim (п - х)2 O a. 0 O b.2 O C. 1 O d.-2

A:

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: n of eY dydx ? 0.

A:

Q: Average speed (mph) Number of laps 0<s < 140 140 < s < 145 20 145 < s < 150 32 150 < s < 155 57 155 ...

A: From given table

Q: At the beginning of the day, there were 500 items for sale in a store. The number of items for sale ...

A:

Q: 5. The position of a hummingbird flying along a straight line in t seconds is given by S(t) = 3t3 – ...

A:

Q: Show that the differential equation x’y³ + x(1+ y³)y' = 0 is not exact, but becomes exact when multi...

A:

Q: Find the derivative of the function. -7 а) у — (2t – 3)2

A:

Q: following

A:

Q: Evaluate the following integral. z+6 dz z(z² +4) Can partial fraction decomposition be used to evalu...

A:

Q: 181?action=Donresume&submissi G(x) = tan t dt. %3D G (1)=| G' (0) %3D G' (주) =

A:

Q: a) Let 3x2-1, for x3 f(x)= be a piecewise function. Eevaluate | Fx)dx= b) Let f(x) = 3x-1, for x< 3

A:

Q: Find y" if y = x + (x + 2)3 when x = 1 Оa. 16 O b.9 Ос. 18 O d.28

A:

Q: suppose that f(x) is a function with f(150) = 49 and f '(150) = 3. estimate f(154). f(154) = ____

A: To solve the given problem use the following formula. f(x) = f(x0) + f '(x0) (x - x0)

Q: |tan' x.sec x.dr = tan x +C %3D

A: This question is based on indefinite integral.

Q: Suppose an object in circular orbit stops in a position where sin(0) . The terminal point 11 is loca...

A:

Q: Let V(t) = t – 6t + 8 represent the velocity after t seconds of an object in meters per second. (a) ...

A: we haveV(t) =t2-6t+8

Q: 4. If f(x) is any polynomial of degree 10, then the 9th derivative of f (x) is zero. 5. If f'(0) = 0...

A: A detailed solution is given below  

Q: Find power series representation for f(x)=1/(10+x)^2 and f(x)=1/(10+x)^3.

A:

Q: り)

A:

Q: Consider the following. (If an answer does not exist, enter DNE.) fx) = 180x + 3x - 2x (a) Find the ...

A: Given :f(x)=180x+3x2-2x3

Q: Evaluate: lim ex O a, undefined or oc Ob.0 Oc 1 O d.-1

A:

Q: Two people sweep the floor. The table gives their sweeping rates, in square yards per minute (yd²/mi...

A:

Q: ) Pro Perties: 1-J-n(X) =-l) Ju(X)→ nisinteger ex Ji(x) JーてしX) =-)Jlx) 5てしx) y lx)=C!Jz(x) +cz Jz (V...

A: As per the given properties and example we have to find equation y(x).

Q: A Moving to another question will save this ra Question 4 For f(x, y) = xexv, find fy (1, In 2) %3D ...

A: Topic:- derivatives