y 2- -4 -2 2 4 а. lim fx) b. lim f(x) с. lim f(x) d. f(2) e. lim f(x) X2.3 f. lim f(x) g. lim f(x) h. f(2.5) I2.3

Q: Find if the series converges or diverges and if it converges find the sum.

A: The given series is : ∑n=0∞-1n3n2n    Applying  Ratio test to the above series. limn→∞an+1an=limn→∞-...

Q: With the revenue function which is given as..

A:

Q: Explain why or why not Determine whether the following statements are true and give an explanation o...

A: (a) Given- ddxe5=5e4 To find- Whether the given statement is correct or not and give a counter examp...

Q: Composition of three functions Calculate the derivative of sin (ecos x).

A: The given function is sinecosx.  

Q: R(t) = 26.7e-0.016t (0 st< 18)

A: Rt=26.7e-0.016t Substitute 0 for t in above function for disability rates in year 1982. R0=26.7e-0.0...

Q: I need help with 2b if you need more information look at number 1

A:

Q: calculate the area R

A:

Q: Let sin t= a, cos t= b, and tan t=c. Write the expression in terms of a, b, and c. 3 sin (-t)- sin t...

A: sint =a, cos t=b and tan t=cTo find:Expression for 3sin(-t)-sint  

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = 3t + 3 cot(...

A: Consider the given function, f(t) = 3t + 3 cot(t/2) First calculate the derivative of the function. ...

Q: Help with #1

A:

Q: The demand for a certain brand of candy bar is given by p(x)=1/100(160-x/10000 ), where ?(?) represe...

A: (a) part Suppose px be the cost price of one candy and x be the number of candy. Then, the cost pric...

Q: find an antiderivative for each function. Do as manyas you can mentally. Check your answers by diffe...

A: Let, f(x)=x2-2x+1     ...(1)

Q: 1.0) Find the following indefinite integrals: 1.1) ∫ (5 + x7) (3x2 + x-4) dx  1.2) ∫12x (x2 – 9 )-3 ...

A:

Q: Find a  domain on which f is one-to-one and a formula for the inverse off restricted to this domain....

A: Given that: The function f ( x ) = 1x + 1 .

Q: The number y of hits a new website receives each month can be modeled by y 4040ekt, where t represen...

A:

Q: Can you help me answer this question?

A: The function fx=x2-45 on the interval -5,5.

Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of θ...

A:

Q: A plane flying with a constant speed of 24 km/min passes over a ground radar station at an altitude ...

A: Consider the figure below. Assume A be the radar station and the B be the position of the plane. AC ...

Q: Find partial derivatives of  hxx ( x,y) , hxy(x,y), hyy (x,y)  For function  h(x,y)= ln ( x^3 + y^3)

A: Given, h(x,y)=ln(x3+y3)

Q: For this question, assume the Parallel Postulate P-1 (a) Define what it means for DABCD to be a trap...

A: parallel postulate: When any traversal is passing through two lines or the transversal is falling on...

Q: How many ounces of wool roving must be produced and sold to yield the maximum profit?

A: we have been given the price function  p=50 - 0.25q and also we have a cost function C(q) = 100+5q2 ...

Q: Given f(x) =2/(x - 1) and g(x) =3/x, find each of the following: a. (f ∘ g)(x)   b. the domain of f ...

A: The given functions are fx=2x-1   and   gx=3x. Compute (f ∘ g)(x) as follows. (f ∘ g)(x)=fgx=2gx-1=2...

Q: Based on the synthetic division shown (see attached), the equation of the slant asymptote of f(x) = ...

A: The oblique or slant asymptote is found by dividing the numerator by the denominator. A slant asympt...

Q: ) Find the quantity that will maxim | units ) Find the selling price at this optin | per unit ) What...

A: The weekly demand function for x units of a product  sold by only one firm , p=900-12x dollars . The...

Q: 2. sin y(x + sin y)dx + 2x² cos ydy = 0

A:

Q: Write the expression (tan π/5 - tan π/30)/(1 + tan π/5 tan π/30) as the sine, cosine, or tangent of ...

A: Formula used: tana+tanb1-tana·tanb=tana+b

Q: a. Identify the function’s local extreme values in the given domain,and say where they occur.b. Grap...

A: Maxima or minima: F(x) is any function, 1) Evaluate f'(x) = 0 for critical points. 2) Evaluate f''(x...

Q: The path of the earth around the sun is an ellipse with the sun at one focus. The ellipse has a majo...

A:

Q: Sin t = 3/5, cos t = 4/5 are given. Use identities to find tan t, csc t, sec t, and cot t. Where nec...

A: Given: sint=35, cost=45 we know that tanθ=sinθcosθcotθ=cosθsinθsecθ=1cosθcosecθ=1sinθ

Q: Use the graph below to fill in the missing values. f(x) 2 3 -1 f(0) || f(x) = 0, x = f-1(0) %3D f-(x...

A:

Q: Euler's formula: Evaluate the following expressions.   21. e^(-ipi)

A: Explanation of the solution is given below...

Q: find the derivative of y with respect to the appropriatevariable. = cosh-1 2√x + 1

A: Given: y=cosh-12x+1Here ,we havecoshy=2x+1Taking the derivatives on both side.ddxcoshy=ddx2x12+1sinh...

Q: Question attached to image

A: The given function is y=4cos73x+3. Obtain the derivative as follows.  

Q: Vx+3x² limx¬0 X→∞ 4х-1

A:

Q: Use the test of your choice to determine whether the following series converge absolutely, converge ...

A: Given that: The series ∑k = 1∞ k22k2 + 1k .

Q: Can They Both Be Right? Hannah uses the substitution u = tan x and Akiva uses u = sec x to evaluate ...

A: Given:∫tanx sec2x dxTwo way of substitution:Hannah uses  u=tanxAkiva uses    u=secx

Q: The graph of function f consists of two line segments, one segment from (-2, -2) to (-1, 0) and a se...

A: To Determine:  The graph of function f consists of two line segments, one segment from (-2, -2) to (...

Q: Follow the seven steps stategy to graph the rational function: f(x) =2x2/(x2 +4)

A: Given: fx=2x2x2+4, To plot: Graph of given function.

Q: dy/dx for y=200x-100x/3x+1, find the indicated derivatives and simplify

A: Given: y=200x-300x3x+1

Q: Determine whether each of the series is convergent or divergent. Classify any convergent series as a...

A: To Determine: Whether the given series converges conditionally, absolutely, or diverges. a. ∑n=1∞-1n...

Q: The velocity v of a falling object varies directly with the time t of the fall. If after 3 seconds, ...

A:

Q: For h(x) = −x3 + 9x2 − 15x − 4, find the intervals on which h is increasing or decreasing, the local...

A: Given: The function hx=-x3+9x2-15x-4 To determine: The intervals on which h is increasing or decreas...

Q: I need an explanation please.

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Determine whether the following statement is true or false. If this statement is true, explain why. ...

A: If limn→∞an=πthen an must be conversent. Reason- an is the fuction of n and when n is tending to inf...

Q: For the cost function C(x)=300+10x+0.03x^2, show that average costs are minimized at the x value whe...

A: Given data: The expression for the cost function is C(x)=300+10x+0.03x2.   The expression for the av...

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.