Evaluate the following limits or indicate that they diverge. (a) lim 2² 1+∞ (b) lim ∞04-1

Q: solve for x: x^3+x^2+x=1 algebraically

A:

Q: Find the latus rectum of this 17x^(2)+7y^(2)=119.

A: Explanation of the answer is as follows

Q: y=6cos^2(x/4)-3

A:

Q: Use the quadratic formula to solve for x from the equation -(1/4)x^2 + x + 10^-14 = 0

A:

Q: an equation for each horizontal translation of f(x)=x^2+3 8) 3.7 units ri

A:

Q: ∫dv/v^2

A: Given, ∫dvv2

Q: Write f(x)=3x^3-3x in terms of y

A:

Q: Put the function P=10(3.6)^t in the form P_0e^(kt). When written in this form, you have: k = ? P_0…

A:

Q: State the domain and range for the function f(x)=2x^2 - 7.

A:

Q: Calculate the value of f(-3) for the function f(x) = 3x^2

A: In order to find the value of a function f(x) at a point x=a, we just replace a at the place of x…

Q: Sketch y=(9-x^2)^1/2

A: We need to sketch the function, y=9-x212

Q: state the domain in interval notation for y= 3x^4 - (√2)x^2-22/3

A: Given the polynomial function .

Q: Sketch y=(x^2-9)/x+3

A: Sol:- y=(x^2-9)/(x+3)=(x+3)(x-3)/(x+3)=x-3 so y=x-3 put y=0 x-3=0 x=3 (3,0) put x=0 y=0-3=-3 (0,-3)…

Q: y = 2x/sqr(x^2 + 1) - find the deriviative using chain rule and explain each step clearly and show…

A:

Q: graph f(x)=16x-2x^3 on [-4,5] then shade between f(x) and the x-axis and write the integral formula

A:

Q: Solve for x:  x^4 - 13x^2 + 36=0

A: Given x4-13x2+36=0. We need to solve the above equation.

Q: find the derivate of y=x^3(5^-x)

A:

Q: 4/3v-1/v=v+2/2v^2

A: Given 43v-1v=v+22v2 Solve value for v