f(x) = [x]

Q: Derivative rules Suppose u and v are differentiable functions at t = 0 with u(0) = ⟨0, 1, 1⟩, u'(0) ...

A: It is given that,Suppose u and v are differentiable functions at t = 0 with u(0) = ⟨0, 1, 1⟩, u'(0) ...

Q: Solve the system.

A: Given

Q: This Quiz: 3 pts possible C. Identify the coordinates of any local and absolute extreme points and i...

A: Consider the provided equation, y=8xx2+36 Find the local extreme points and inflection points. First...

Q: Solve the formula for the specified variable. Do you recognize the formula? If so, what does it desc...

A: Given that, T=D+pm

Q: Evaluate using the identity a3-b3 = (a-b)(a2+ab+b2)

A: Given

Q: Graph: f(x) =(5x + 1)/(x - 1).

A: To graph: fx=5x+1x-1

Q: Sketch the graph of the function y = (1/3)x

A: we sketch the graph of the function y = (1/3)x

Q: Evaluate the series or state that it diverges.

A: Given: S=∑k=0∞120.2k+320.8k for finding given summation, first we expand given expression so, S=∑k=0...

Q: Express h(x) as a composition of two functions: h(x) = √(x2 + 5)

A:

Q: Use long division to find the quotient and remainder when 2x5 + 4x4 - x3 -x2 + 7 is divided by 2x2 -...

A:

Q: Find the domain of the function : f(x) = (2x + 7) / (x3 - 5x2 - 4x + 20)

A: The given function is fx=2x+7x3-5x2-4x+20.  

Q: Find the domain of the rational function: g(x) = 2x2/(x - 2)(x + 6)

A: Given function is gx=2x2x-2x+6. Domain is the value for x for which function is defined. Here, given...

Q: Find all the zeros of the polynomial function g(x) = x4 - 6x3 + x2 + 24x + 16and write the polynomia...

A: Given: gx=x4-6x3+x2+24x+16 To Find: All the zeros of the polynomial function gx.Write the polynomial...

Q: Complete graph of polynomial function whose zeros are integers is shown (see attached), Solve the fo...

A: Given: The graph of polynomial function whose zeros are integers is 

Q: 15% increase in price of an article , which is $1,620 , is the increase of ?

A:

Q: Find an equation of the tangent line to the graph of the function at the given point, (a) use a grap...

A: Given that, f(x)=sin2xlnx2     ...(1)

Q: Solve quadratic equation using the quadratic formula. 5x2 + x - 2 = 0

A: Consider the following quadratic equation: 5x2+x-2=0 Compare the above quadratic equation with ax2+b...

Q: Find the area of the region in the first quadrant _bounded on the left by the y-axis, below by the c...

A:

Q: Graph the function ƒ(x) = 8 + 2x - x2 anddetermine the values of a and b that maximize the value of ...

A: Consider the function  ƒx=8+2x−x2  

Q: Find the derivative off (x) = 9x - 5 at x = 2 and x = 5.

A: Given f (x) = 9x - 5

Q: Use l’Hôpital’s rule to find the limits

A: we have to find the limit of the given function limx→π2-x-π2secx

Q: Simplify : See as attached.

A: We have to simplify the expression: 2x+3x+1.x2+4x-52x2+x-3-2x+2 Simplifying the expression by using ...

Q: Simplify : 5/4 . 8/15

A:

Q: Find a parametric equation for the line that is perpendicular to the graph of the equation 4x+2y +3z...

A: Let F(x,y,z) define a surface that is differentiable at a point (x0,y0,z0), then the normal line to ...

Q: Use the product rule to simplify the expressions .Assume that variablesrepresent nonnegative real nu...

A: Use the product rule to simplify the expressions .Assume that variablesrepresent non negative real n...

Q: dr „0.999 0.

A: Let the given integral be y - y = ∫01drr0.999y = ∫01r-0.999dry = r-0.999+1-0.999+101                ...

Q: Differentiate the function.snip4

A:

Q: Use the given graph of function f to solve: For what values of x is the function undefined?

A: To determine the values of x for which the function is undefined using the graph of f.

Q: Valencia bought a car for $ 2 , 50 , 000 .next year its price decreased by 10% and further next year...

A: The cost price of the car = $ 250000 First year decrease in price = 10% Second year decrease in pric...

Q: Use a calculator to find the value cos π/4 to four decimal places:

A: Given:cosπ4

Q: Verify that the general solution satisfies the differential equation. Then find the particular solut...

A:  Given general solution is 3x2+2y2=C.......(1) Differentiating it with respect to y 6x+4yy'=0⇒23x+2y...

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.