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Given #int e^x(tanx + 1 )secx dx = e^xf(x)+C#.Write f(x)satisfying above.How can you solve it ?

If d^(2)x/dt^(2)+g/b(xa)=0,(a,b,g being positive constants) and x=a' and dx/dt=0 when t=0,show that x=a+(a'a)cos{√(g)/(b)t}?

If #lim_(x rarr 2) (ax^2b)/(x2)=4# then find the value of a and b?

How do you graph # y=1+5cos(xpi)#?

How to use u substitution for #sin2x#?

Identify the following differential equation and hence solve it #y'=4/x^(2)y/x+y^(2)#
?

What is meant by the determinant of a matrix?

How do you graph # y = 1/sin x#?

Thoughts on the recent announcement made about the future of the Socratic website? Share them here!

If f is a continuous function such that #int_0^xf(t)dt=xe^(2x)#+ #int_0^xe^tf(t)dt# for all x, find an explicit formula for f(x) ?

How do you integrate #int dx/sqrt(x^264)# using trig substitutions?

Given that y=2 when x=3,What is the value of y when x=5 for the differential equation y dy/dx =2x+3?

If #A= <2 ,3 ,9 ># and #B= <0 , 3, 7 >#, what is #A*B A B#?

What is the formula for the sum of an arithmetic sequence?

How do I find out values of stuff like "sec(pi/3)" without a calculator?

Let g(x)=#int_0^xf(t)dt# where #f# is the function whose graph is shown. Evaluate g(0), g(2), g(4), g(6) and g(12)?

How to prove newton's method?

Solve the following differential equation?
#(2x+y+3)dy/dx=x+2y+1#

How do you use double angle formulas to calculate cos 2x and sin 2x without finding x if #cos x = 3/5# and x is in the first quadrant?

How do you use the Trapezoidal Rule to approximate integral #int(2/x) dx# for n=4 from [1,3]?

How do you graph #y < x^2 5x#?

Let #f# and #g# be two realvalued functions such that #f(x+y) + f(xy) = 2f(x).g(y) AA x,y in R#. If #f(x)# is not identically zero and #f(x) <=1 AA x in R#, then prove that #g(y) <=1 AA y in R#?

#A/B=B/A" "# is true if?

#f(xy)=f(x)/f(y)# and #f^'(0)=p,f^'(a)=q# then what is #f^'(a)?#

#int_0^1 lnx/(1+x)dx# ?

Given #f(x)=3x^2+4x5# and #g(x)=2x+9#, how do you find #f(x)+g(x)#, #f(x)g(x)# and #f(x)*g(x)# and #(f/g)(x)#?

Integrate #\int {sin(2x)}/{sinx}dx# ?

Solve the differential equation #y'=(yx)^2#?

How did newton discover the law of universal gravitation?

Find #tan theta# if #sec theta = 17^2# ?

If a circle has center (0,0) and a point on the circle (2,4) write the equation of the circle.?

How to differentiate #y=xe^x(sinx+cosx)# ?

What is the square root(80) over square root(50)?

If y = f(x)g(x), then dy/dx = f‘(x)g‘(x). If it is true, explain your answer. If false, provide a counterexample. True or False?

What is the derivative of #f(x) = e^(x^2 + lnx^3)#?

If , #y=sqrt(x/a)sqrt(a/x)#
So, Prove that ??
#2xy(dy/dx)= x/aa/x#

If y=at^2 and x=2at where x,y,t are variables and is a constant then find dy/dx ?

How do I solve the formula #16t^2  vt  40 = 0# for #t#?

Given #f(x)=1/8x3# and #g(x)=x^3#, how do you find #(f^1of^1)(6)#?

What will be the Evaluate the following integrals ?
(1) ∫ (a/x^2 + b/x) dx
(2) ∫ (3x^7+x^1)
(3) ∫ (√x+1/√x)^2 dx

If #A= <5 ,3 ,3 ># and #B= <2 ,2 ,7 >#, what is #A*B A B#?

How do you differentiate #y = (ln(x^2))^(2x+3)#?

Let f(x,y)=xe^y ye^x The gradient of f at (0,0) is ∇f(0,0)=?

How do you solve #x+3y=6#, #4x5y=7# by graphing?

How do you multiply #(a+b)(a+b)(a+b)#?

How do you prove that csch^1(x) = sinh^1(1/x)?

The polynomial #8x^336x^2+22x+21=0# has roots which form an arithmetic progression. How do you find the roots?

What is the derivative of #arctan (1/x)#?

Prove that product of two parts of a constant number will be maximum when both parts are equal?

How do you differentiate #f(x)=sin(x)# from first principles?

Prove that tan(π/4+A)tan(3π/4+A)=1?

How do I solve #log_2 5x+4=y?#

If x<0and y<0 x+y+x÷y=1÷2 and (x+y)x÷y=1÷2 then find x and y?

Are there multiple answers to integrals?

How do you integrate #int 1/sqrt(e^(2x)20e^x136)dx# using trigonometric substitution?

How does #1+2+3+...+(n1)=1/2(n)(n1)#?

Would like to solve this integral but it kind of messy especially when it comes to end?

Find #\int_0^ooe^(ax)\sin(bx)dx#?

How to prove 5secx+4 =9secsquarex 4tansquarex?

Solve the differential equation by using CF and PI : #(D^2D2)y=cos 2x# ?

Differentiate y=x^2+bx+c, and hence find b and c if: the parabola has yintercept and has gradient 2 there?

How would the trigonometric expression sin[(arccos (0)arcsin(x)]be written as an algebraic expression?

Algebraically determine the exact value of?

Separable Differential Equation with Initial Value?

Is there an algebraic formula to find out the area of a hexagon?

What are three fractions that can be written as percentage between 50% and 75%?

Solve integral #\intx^p/(x\sqrt(1x^2))dx#?

Find derivatives y=tanh sqrt 1+t^2 ?

How would you find the center and radius of #x^2 + y^2 + 12x  6y = 0#?

How do you solve #5^x=52#?

What is the common difference? if an A. P has the sum of first and last term is 43 and the third is 11 the sum is 258

How do you identity if the equation #25y^2+9x^250y54x=119# is a parabola, circle, ellipse, or hyperbola and how do you graph it?

A piece of wire 11 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. How much wire should be used for the square in order to maximize and minimize the total area?

Let #siny + cosx = 1# then find #(d^2y)/(dx^2)#?

INTEGRATION arctanx ?

Find the area of the region inside these curves?

How do I know which Newton's law to use in any question?

Did I do this First order linear differential equation right?

If #f={(3,4),(1,5),(2,6),(2,4),(0,3)} and g={(4,3),(5,7),(3,0),(6,0)}# then find set of ordered pair of gof and fog and represent in arrow diagram.?

What is the net area between #f(x) = 4/x # and the xaxis over #x in [1, 2 ]#?

How do you integrate #int 1/sqrt(e^(2x)2e^x+2)dx# using trigonometric substitution?

Find the limit by evaluating the derivative of a suitable function at an appropriate point?
lim t approaches 0 (1(1+t)^2/t(1+t)^2)
Thank you very much

How to show the following are true for the two vectors 𝑢̅=4𝑥𝑦𝑖̅−2𝑧𝑗̅+(11𝑥^3)𝑘̅ and 𝑣̅=(𝑥𝑦/𝑧)𝑖̅+(3𝑥^2)𝑗̅ +6𝑘̅ ?
a. ∇×(𝑢̅+𝑣̅)=∇×𝑢̅+∇×𝑣̅
b. ∇.(𝑢̅+𝑣̅)=∇.𝑢̅+∇.𝑣

The first four terms in binomial expansion of (a+b)ⁿ , in descensing power of a , are w,x, y and z respectively.Show that (n2)=3nwz?

Is it possible to solve this integral by hand or by conventional methods?

Find the partial sum?

How to solve this first order linear differential equation?

How do you find the vertex of a quadratic equation?

2nC3:nC2=44:3?
Permutation
And book answer is 6

What is the general solution of the differential equation? : #y''+4y=2sin2x#

Let f:Rise defined from R to R . find the solution of f(x) =f^1 (x)?

How to evaluate the triple integral with step by step solution please?

#x^3+i =0#
Find all complex number solutions. Write in trigonometric form.
I know I need to find r and the angle. Need help with the steps?

What is the differential equation?

The curves C1 and C2 are defined by the following parametric equations:
C1: x=1+2t, y=2+3t, 2<t<5
C2: x=1/(2t3), y=t/(2t3), 2<t<3
Show that both curves are segments of the same straight line???

How to solve?(sin45+cos60)/(sin60+tan30)
Step by step

#lim_(x>0)sin(1/x)/(sin(1/x))# ?

When using integration to find an area, exactly which "area" is found?

How do you integrate #int 1/sqrt(e^(2x)+12e^x+40)dx# using trigonometric substitution?

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