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Use taylor series to evaluate #f^11 (0)# for #f(x) = x^3 cos(x^2)# ?

Establish the identity.
ln cot u = ln cos u  ln sin u ____________________
Could someone please explain to me how to solve this?

How To sketch the graph of C and label relevant points?

The sequence a1, a2, a3... an is an arithmetic sequence. a4=a6. What is a5?

Convert into standard form and sketch this Quadric surface equation : ?

What is the general equation for the arclength of a line?

Integrate #int xe^(2x)dx# ?

What is the arclength of #f(x)=sqrt(4x^2) # in the interval #[2,2]#?

Can you solve a question that gives you two side lengths of a right angled triangle without Pythagorean Theorem?

Help with calc please?

How do you find the slope of the curve #y^3xy^2=4# at the point where y=2?

Determine x so that x, 1/2x+7, and 3x1 are the first three terms of an arithmethic sequence?

Who's interested in a new Socratic on a different website?

When will the slope field for the differential equation #(2x)/(4yxy)# have vertical segments?

A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. How should the wire be cut so that the total area enclosed is maximum?

The taylor series about 0 for the function f(x)=1/1x ?

Function f(x)=(x^3)(e^x) is strictly increasing on the interval of?

Suppode f(x)=cx^2+2x,if x<2.and 2x+4,if x>=2.
f(x) is continuous on(∞,∞).Then the value of c is?

How to simplify #cos^2 2thetasin^2 2theta#?

What is the answer of 1cot²a=?

How do you solve #e^(2x)(4e^x)+3=0#?

A rectangle is inscribed with its base on the xaxis and its upper corners on the parabola #y=6x^2#. What are the dimensions of such a rectangle with the greatest possible area?
thanks for any help!?

Which of the following has larger size and why?
1) Be or Mg
2) Li or Na

How do I determine if the improper integrals converge or not?

How do you know when to use L'hospital's rule twice?

A particle is travelling an elliptical path described by #(3sin(2t)), 4cos(2t))#. Find the points at which it is travelling fastest?

Ap Physics C 1991 Question 1?

Can I get help with this graph? It involves derivatives and differentiation. I got h'(2) right but need help with h'(1) and h'(3)

How do you find the average value of the function for #f(x)=x+sinx, 0<=x<=2pi#?

Ap Physics C 1995 Question 1?

Ap Physics C 2002 M2?

Ap Physics C 1989 M2?

8. The slope of the curve y=x³3x+1;  infinity < x <infinity is minimum at:
A. X=  1
B. X= 1
C. X=0
D. X= +1,1
Ans. C
Please give explanation???

The volume of cube is 216 cm cube. If the length of the edge is increased by two times, what should the volume of new cube?

The diagram shows two curves with equations y=sin x and y=sin2x for x values between 0 and pi. the curves meet at the origin and at the points P and Q.
a) find P and Q?
b)find the areas of the shaded regions A1 and A2?

How do you prove #Tan x+Cot x =Sec x Csc x#?

Prove: is y = tan(2x), than y" = 4y . y' ? Thank you!t

Given the set: # {9,0,6,10,2,x,3} #, for what x would the mean of the set be 2?

Given sin 40° ≈ 0.64, cos 40° ≈ 0.77, sin 15° ≈ 0.26, and cos 15° ≈ 0.97, which expression could be used to estimate sin 55°?

If #h^2+k^2=23hk#, where h>0, k>0, show that log #(h+k)/5=1/2 (logh+logk)#?

A satellite X of mass m orbits the Earth with a period T. What will be the orbital period of satellite Y of mass 2m occupying the same orbit as X?

How do you write the expression #cos25^circcos15^circsin25^circsin15^circ# as a sine, cosine or tangent of an angle?

If #f(x/(x+1))=(x1)^2#, what is #f(3)#?

How can this be done? Finding the radius of convergence and the interval of convergence of the series?

Help please??

The sum to infinity if a GP is 16 and the sum of the first 4 terms is 15. Find the first four terms?

Determine the Maclaurin series representation for f(x)=e^x/x ?

What's the difference between radius of convergence and interval of convergence?

Out of curiousity, what type of function would this be?

How do you solve #e^ { 3c  2} = b#?

Express the following as a function of a single angle?
Cos^2(81 deg)  sin^2(81 deg)

How do you show that the series #ln1+ln2+ln3+...+lnn+...# diverges?

How do you solve these integrals? help please!

What does the graph of g(x) look like given that #f(x)=(d/(dx))g(x)# and #g(0)=0#?

Find the area of a single loop in curve #r=\sin(6\theta)#?

Can you evaluate the integral by interpreting it in terms of areas?

What is the difference between an ether and an ester?

How do you solve #Cos(2x)cos(x)sin(2x)sin(x)=0#?

How to fine the equation of the curve ?

Find a curve through the region in the XYplane whose length from X=0 to X=1 is
L=INTEGRATION sqrt 1+1/4e^xdx?

F(x)=root of (x^2+16) and (f(k))^2=20,k>0.what is the value of f(k+1)?

Find the slope at any value of x,if y=(x)^lnx?

#2tan^1(x)+sin^1((2x)/(1+x^2))# is independent of #x#, then?

What is the equation of the parabola that has a vertex at # (0, 16) # and passes through point # (2,20) #?

Find all numbers C that satisfy the conclusion of the MVT of f(x) = Xln(x) [1,2] ?

How to integrate #int(e^2x+e^2x)/(e^2xe^2x)dx?

Please show the integration of #(x^3)/((x^4+7)^8)dx# step by step?

How to find the general solution of #x dy/dx = xy + y# ?

How do you find the y ? ln(y^21)  ln(y+1)=ln(sinx).

A triangular playground has angles with measures in the ratio 7 : 3 : 5. What is the measure of the smallest angle?

A particle moves in a straight line so that at time t its displacement from a fixed origin is x and its velocity is v. If its acceleration is 4 + x and v = 1 when x = 0, what is v when x = 1?

For a continuous function #f#, is it generally true that #\int_0^2 f(x)dx = \int_0^1 f(2x)dx#?

Find x where 0<=x<=2pi
sin x  cot^2 x = 1
Anyone know how to do these things??

When the expression #2x^3 + ax^2 5x 2# is divided by #2x1#, the remainder is #3.5# . Determine the value of the constant #a#.
Can someone please help?

Can someone please help with this **logarithms** question?

What is the limit of #x^(1x)# as x approaches 1?
The hint is "Use the properties of logarithms to simplify the limit". But I just can think in the straight answer 1, by substitution. Can someone develop in steps using this hint, please?

1
The sum of the three smallest positive values of theta such that 4(cos*theta)(sin*theta) = 1 is k*pi. Find k?

Power series?

When will the slope field for the differential equation #dy/dx=(yx^2+xy^2)/(3x+y)# have horizontal segments?

How do you find the volume of the solid obtained by rotating the curve about the yaxis over [0,1]?

Find the point on the curve y=cosx closest to the point (0,0)?

How do you verify #sinx/(1cosx)  (sinxcosx)/(1+cosx)=cscx(1+cos^2x)#?

How to differentiate ln#x/2# and ln(#√(1#1/x#)#) respect to x?

For #g(x)=x^(3) +2x^(2) +cx +k# (c and k are real numbers) : a. If g has exactly one stationary point find the value of c.
b. If the stationary point occurs at a point of intersection of #y=g(x) and y=g^(1) (x)#, find the values of k?

Find the interval and radius of convergence of the following power series (problem #1a)?

Given that #xe^y = x+1#, show that #e^y + xe^ydy/dx = 1#?

Use series to evaluate the limit #\lim_(x\rarr0)(x^2/21\cos(x))/x^4#?

How do you use #f(x) = sin(x^22)# to evaluate #(f(3.0002)f(3))/0.0002#?

What the area of the figure bounded by the given curve
y=(x*(sqrt36x^2))
(0_< x_< 6)?

If the normal to the curve #y=xlnx# is parrallel to the straight line #2x2y+3=0# ,then the normal equation is......
a.#xy=3e^2# b.#xy=6e^2# c.#xy=3e^2# ?

Cot x/ tan x × sec²x = cosec x
how? prove it

How do you draw slope fields?

Help with Calculus?

Please Evaluate the problem?

If 0< a_n <b_n and the series a_n diverges then the series b_n diverges. Is this statement true or false?

How do I solve log_3(2x1)≤2 for x?

A box in the shape of a rectangular prism has a volume of #6x^3+27x^215x#. What are the dimensions of the box?

Evaluate this integral of ydy/√y+1 using substitution method?

If #e^x+e^y=e^(xy)# Then, dy/dx=?

What are two positive numbers whose sum of the first number squared and the second number is 54 and the product is a maximum?

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