SA We have seen that the harmonic series is a divergent series whose terms approach 0. Show that 8, Σ n 1 + n=1 is another series with this property.

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 + 9 - 5 lim X-4 x + 4

A:

Q: 4 The function f(x,y) = corresponds to x² + y? plot [ Select ] level curve [ Select] >

A: Here, the given function is: f(x,y)=4x2+y2

Q: Consider the following. y = tx2 + t°x dy Find dx dy dx dy Find dt dy dt II II

A: y= tx2+t9x  1) find dy/dx  2) find dy/dt 

Q: Find the following using the table below. 3 4 f(r) f (x) g(x) 4 4 4 3 4 (x),6 h'(2) if h(x) f(x) · g...

A: Given that : h(x) = f(x).g(x) and h(x) = f(x)/g(x) and h(x) = f(g(x)) To find : h'(2)

Q: Consider a wizard hat (infinitely tall) obtained by the solid of revolution obtained by rotating thi...

A:

Q: find the differential equation of y'' + 5y' + 6y = 0 when y (0) = -1, y' (1) = 3

A:

Q: If two objects travel through space along two different curves, it is often important to know whethe...

A:

Q: Consider the following indefinite integral. 7x3 + 9x2 + 5х +6 dx x4 + 1x2 The integrand has partial ...

A:

Q: 00 1 7. n2 +1 n=1

A:

Q: If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: – 4 a (a) In 6-4c-1 (b) In Vb°c'a 'c...

A:

Q: If f(x) = sin c, find f'(a) Find f'(4)

A:

Q: 47-50. Level curves Consider the paraboloid f(x, y) = 16 %3D - - 4 16 and the point P on the given l...

A:

Q: Let f(x)= -6x^4+8x^3+72x^2 a) f has a relative minimum at x= b) f has an inflection point at x= c...

A: Given; Let f(x)= -6x4 +8x4 +72x2   a) f has a relative minimum at x=  

Q: Express the product as a sum or difference. sin 6x sin 4x (cos 10x - cos 2x) O sin2 24x2 (cos 2x - c...

A:

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

A: Explained below 

Q: 6. Roughly, speaking, we can use probability density functions to model the likelihood of an event o...

A: we have to just apply the conditions which is already provided in the question  Given function must ...

Q: The function f(x, y) = sin(/3x² + 3y²) corresponds to plot [ Select ]

A: Find your answer below 

Q: Use the logarithm identities to obtain the missing quantity. 2 log,(p) – 4 log,9) – 3 log,(r) = log,

A:

Q: f'(r)

A: Follow the procedure given below

Q: If f is continuous and f(x)dx = 4, find So xf (x?)dx. %3D

A:

Q: 1. lim f(x) : = -1 and f(1)DNE 2. lim f(x): = 1 and f(0) = -3 3. lim f(x) = -2, X →2- lim f(x) x → 2...

A: We have to graph the function asper the given limits.

Q: Suppose you solved a second-order equation by rewriting it as a system and found two scalar solution...

A: Given:     y = e4x      z = e5x   

Q: Find the general solution of y' = y sec x

A: Given, The differential equation y'=ysecx We have to find the general solution.  

Q: (-1)" 6. (0.999)" n=0 M:

A:

Q: Let f(x)= -6x^4+8x^3+72x^2 a) lim x-> +inf f(x) b) lim x-> -inf f(x)

A: Here, the given function is: f(x)=-6x4+8x3+72x2 Here, note that the leading coefficient is negative.

Q: dw V4-9w2 2

A:

Q: T2 - I + 11 Given the function f(T) 5x7 + 3 lim f(1) appears to be I- + 00 O DNE lim f(T) appears to...

A: The given function is  f(x)=x2-x+115x7+3

Q: ( (In 10x+ 4lnxr) $dx A Inx B In°x+4 C In°x D In 10x+4lnx In 10x+ 4lnx (E F None

A:

Q: Which of the following limit laws is NOT applied? lim (2? + 7æ – 5) = 13 O Limit of a Constant O Lim...

A: laws of limit

Q: Let f(x) = -3x° + 8x – 5 Use the limit definition of the derivative to calculate the derivative of f...

A: The given function,  f(x)=-3x3+8x-5

Q: Wnete to y=2x=1 equotion for Hhe line Pacallel the Doinit 4,9) an and

A:

Q: Differentiate the function. g(x) = x2. - - 4x + 13 g'(x) = %3D

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: ' (x5–x³– 6x) dx is the same as x²+2 A |(13- 3)dx |(+3)dx В 4x dx x²+2 D x³+x- 8x dx x²+2 E .3 x'+x-

A: Solution: ∫x5-x3-6xdxx2+2  

Q: Let z(x, y) = xy where x = r cos( 40) & y = r sin(0). dy dx ar dy dz Calculate ar dz by first findin...

A: NOTE: Refresh your page if you can't see any equations. . .

Q: Find parametric equations for the tangent line to the curve with the given parametric equations at t...

A:

Q: Find a vector equation and parametric equations for the line segment that joins P to Q. P(3.5, −3.2,...

A:

Q: Find f if f"(x) = 4 – 6x, f(0) = 3, and f(2) = -2. %3D Answer: f(x) =|

A: f"(x) = 4 - 6x , integrating the equation  Using the formula ∫ xn dx = xn+1 /(n+1) ∫ f''(x) dx = ∫ 4...

Q: 5. Some integrals might seem complicated. But they will simplify significantly if you look at them i...

A: Evaluate the integral .

Q: B. IDENTIFICATION, Determine if each function is continuous. If the function is not continuous, find...

A: Infinite discontinuity is  a type of discontinuity where one sided or both sided limit go towards in...

Q: 15) tan-l –1 --1 V2 17) cos 2 1 19) tan- 1

A: Given: 16)  tan-1-1

Q: sin z Differentiate y =

A:

Q: 7 Show how to use the Intermediate Value Theorem to show that the equation 4 has a solution 1+z betw...

A:

Q: Suppose that your best friend has calculated the partial derivatives of a given functionf(x,y)and to...

A:

Q: In Exercises 3-10, determine whether the series converges absolutely, con- ditionally, or not at all...

A: Given: ∑n=1∞-1n1+1n

Q: 1 38. n(n - 1) n=2 IM:

A:

Q: (2) A buko pie store can produce buko pie at Php95.00. It is estimated that if the selling price of ...

A:

Q: Find all critical points of the function f(x) = cos-(x) + 7x for -1 < x < 1. %D (Use symbolic notati...

A: Given; f(x)=cos-1(x)+7x for -1&lt;x&lt;1

Q: IDENTIFY THE CORRECT U

A:

Q: Find the values of c that make f continuous everywhere: ´x² – c² if a 9 smaller c = larger c = Use ...

A:

Q: Compute the surface area of revolution about the x-axis over the interval [0, 1] for y = e-9x. (Use ...

A: