lim c=c a

Q: Solve : If the width of a rectangle is represented by x and the length is represented by x + 200, wr...

A: Explanation: Given that, width = x length = x + 200 We know that,  Perimeter = 2(length + width) P=2...

Q: How can we find a Viewing Window?

A:   The viewing window is the part of the coordinate plane that will be visible on your graphing calcu...

Q: Graph the solution set of the system 3x + 6y ≤ 6, 2x + y ≤ 8 of inequalities or indicate that the sy...

A: 3x+6y≤62x+y≤8

Q: Solve and graph the solution set on a number line.

A: Given information: x+34≥x-23+1  

Q: Find the plane tangent to the surface z = x cos y - yex at (0, 0, 0).

A: Consider the following function: z=fx,y=xcosy-yex Differentiate function fx,y with respect to x: ∂∂x...

Q: Consider the function f(x) = 2x^(3/2) + 36√x − 15x − 7 (where x ≥ 0).1. Find where f is decreasing a...

A: Given function is, fx=2x32+36x-15x-7

Q: Find ∫sin23x cos 3x dx

A: Given:                  ∫sin2(3x) cos(3x)dx   Integrating:                    Let's apply the u-subs...

Q: Given Z= 3x2y3-4x4y2, find a3Z/axa2y

A:

Q: A fast-food restaurant has a cost of production C (x) = 13x + 126 and a revenue function R(x) = 6x. ...

A:

Q: Solve the equation on the interval 0s0<2n. - sin 20+ cos 20 = sin 0+ 1 Select the correct choice bel...

A: Given, -sin2θ+cos2θ=sinθ+1

Q: Use the information to evaluate the limits.

A:

Q: Find the derivative of the function y=23x+3x4.

A: Given:y=23x+ 3x4Derivative formula:ddxxn=n.xn-1

Q: 8. Shown below is the graph of G(x) = log,(x): All changes saved Using what you know about logarithm...

A:

Q: Describe the Quotient Rule in your own words.

A: Reason for the Quotient RuleThe Product Rule must be utilizedwhen the derivative of the quotientof t...

Q: Suppose a, b, c, and d are constants such that a is not zero and the system below is consistent for ...

A: Given that the system of equations  a x1 + b x2 = f c x1 + d x2 =g Where a , b , c and d are constan...

Q: what is the answer of integrals

A: Part i          ∫x2-14-x2dx

Q: Find the slope of the tangent line to the graph of yx = xy at each of the following points.    (i) (...

A: The given equation is, yx=xy   Take natural log on both sides. lnyx=lnxyxlny=ylnx   Differentiate th...

Q: find the first and second derivatives s = 5t3 - 3t5

A:

Q: Find the indefinite integral ∫(x3 − 3x2 + 5) / (x − 3) dx

A: Concept: The calculus helps in understanding the changes between values that are related by a functi...

Q: Determine whether the graphs of the following equations and functions are symmetric about the x-axis...

A: Given information: y=x5-x3-2

Q: Find the product and write the result in standard form. (8 - 4i)(-3 + 9i)

A: the given expression is: 8-4i-3+9i we have to find the product and write the result in standard form...

Q: Solve the polynomial inequality x2 + 5x + 4&gt; 0 and graph the solution set on a real number line. ...

A: Given, x2+5x+4&gt;0⇒x2+252x+522-52+4&gt;0⇒x+522-254+4&gt;0⇒x+522-94&gt;0⇒x+522&gt;94⇒x+52&gt;±32⇒x&g...

Q: Real and Imaginary Parts Find the real and imaginary parts of the complex number. 12. - 14. iV3 11. ...

A: Since you have posted multiple questions, we will answer the first question. If you want the remaini...

Q: Eliminate the parameter and obtain the standard form of the rectangular equation. Ellipse: x = h + a...

A:

Q: Fill in the blank/s : If r is a zero of even multiplicity, then the graph touches the x-axis and____...

A: Given: if r is a zero of even multiplicity then the graph touches the x-axis and ........at r. if r ...

Q: Multiply or Divide as indicated : (x2 + 5x + 6) / (x2 + x - 6) * (x2 - 9) / (x2 - x - 6)

A: To solve the expression: x2+5x+6x2+x-6×x2-9x2-x-6 Solving the given expression, x2+5x+6x2+x-6×x2-9x2...

Q: Verify the identity: tan2 t/sec t = sec t - cos t

A: Given : tan2tsect  = sect - cost

Q: Evaluate the function at the given value(s) of the independent variable. Simplify the results. g(x) ...

A:

Q: Evaluate the limit, if it exists. If not, determine whether the one-sided limits exist (finite or in...

A: Solution:-  yes limit is exist and step-by-step solution given below... The given limit is  limx→23x...

Q: Find the indefinite integral ∫tan5 (x/2) dx

A: It is given that, ∫tan5x2dx. We have to evaluate it.  

Q: Integrals Evaluate the following integrals. Include absolute values only when needed.

A: To evaluate I=∫72xdx

Q: Find F as a function of x and evaluate it at x = 2, x = 5, and x = 8.

A: Integral formula:∫xndx = ∫xn+1n+1.dx  + c

Q: The position at time t ≥ 0 of a particlemoving along a coordinate line iss = 10 cos(t + π/4). When d...

A: Given,The position at  time t ≥ 0 of a particle moving along a coordinate line is s=10 cos(t +π/4).W...

Q: Derivatives Find and simplify the derivative of the followingfunctions

A: the given function is: f(x)=4x2-2x5x+1 we have to find and simplify the derivative of the given func...

Q: Calculate the derivative of the function y=3sinx+2cosx.

A:

Q: Define the term parabola?

A: Given: The term parabola.

Q: a. What is the best way of determining whether the given equation is a circle? b. How will you descr...

A: “Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: The point-slope form of the equation of a nonvertical line with slope m that passes through the poin...

A: Given that a line passes through (x1, y1) and has a slope m

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.