Paisley Johnson
Calculus teacher | Tutor for 7 years
Greetings! I'm a passionate educator specializing in Calculus. I earned my degree from the University of South Dakota, where I delved deep into the intricacies of mathematical theory. With a commitment to fostering understanding and a knack for simplifying complex concepts, I'm here to guide you through the world of Calculus. Let's unravel the beauty of mathematics together and make learning an enriching experience!
Questions
How do you find points of inflection for #y= sin x + cos x#?
What is the general solution for #dy/dx = 2y-3# ?
How do you implicitly differentiate #2=(x+2y)^2-xy-e^(3x+y^2) #?
What is the derivative of #arctan(x - sqrt(1+x^2))#?
How do you differentiate #y=(x^5+1)(3x^2-x)#?
What is #f(x) = int 1/(x-4) # if #f(2)=1 #?
What is the second derivative of # (x^2-1)^3#?
How do you find the derivative of #cos (2x)#?
How do you integrate #intx(4x+5)^3# using substitution?
How do you find the indefinite integral of ∫ (x - sinx ) dx / x^2 + 2 cosx ?
The region under the curves #x, y>=0, y=x^2sqrt(1-x^4)# is rotated about a) the x axis and b) the y axis. How do you sketch the region and find the volumes of the two solids of revolution?
A particle's acceleration along a straight line is given by #a(t)=48t^2+2t+6# . It's initial velocity is equal to -3cm/s and its initial position is 1 cm. Find its position function s(t). Answer is #s(t)=4t^4+1/3t^3+3t^2-3t+1# but I can't it figure out?
How do you implicitly differentiate #-1=(x+y)^2-xy-e^(3x+7y) #?
What is #lim t->-∞# of #(t^2+2)/(t^3+t^2-1)#?
What is #lim_ (xrarr0) (1/x -1/x^2-x)#?
What is the average value of the function # f(x) = 4x ln (2x) # on the interval #[1,4]#?
How do you integrate #int sqrt(1+2x)# using substitution?
Evaluate the integral of (x√x-3dx)?
If limit of #f(x)=27# as #x->c#, what the limit of #(f(x))^(3/2)# as #x->c#?
How do you differentiate #f(x)=(4e^x+1)(x-3)# using the product rule?