Analyze and sketch the following curves. Indicate critical points and label your graph.

Q: 3 x³ – 64x e. lim 5 .2 е. X + 2x

A: Topic:- limits

Q: Question Find the derivative of f (x) = log, (4x* + 3x) at the point .x 1. %3D Enter an exact answer...

A:

Q: Obtain the solution using Integrating Factors Found by Formulas 1. 2(2y² + 5xy – 2y + 4)dx +x(2x + 2...

A: First we making exact differential equation then find solution. 

Q: A spot light is on the ground 20 ft away from a wall and a 6 ft tall person is walking towards the w...

A: This question can be solved by applying the concept of rate of change of physical quantities.

Q: coth (7x - 3) + C B) tanh (7x - 3) +c I sech? (7x - 3) + C tanh (7x - 3) + C

A:

Q: Consider the series 00 1 Σ n4 + 3n n=1 Complete the following application of the Comparison Test to ...

A:

Q: Suppose three stars lie on the same line. The unit used in astronomy to describe the mass of stars i...

A:

Q: 9 A company's revenue from selling x units of an item is given as R- 1000 x - x? dollars. If sales a...

A: Given problem:- A company's revenue from selling x units of an item is given as R = 1000x - x2 dolla...

Q: Find the exact length of the curve. X = 3 3D 글Vy (y-3), 9sys 25

A:

Q: (3y- 2 )cy y´+2y+17

A: We have to evaluate value of given indefinite Integration.

Q: Vx2 (b) / 4 dx; x > 2. x2

A: To find out the integration. 

Q: Compute the Riemann sum for the double integral R (8x – 3y) dA, where R = [1,7] × [1,5], for the gri...

A: Given

Q: lim 2tan (2.x) 3n 4

A: This is a basic limit problem

Q: D. Eliminate the arbitrary constant C. 5. y'sinx-2x'y³= Cy? 6. y=C,e6x+3C2ex

A:

Q: 10. Find the bounds of integration a, b, c, d such that f (x, y) dydx f(x, y) dædy.

A:

Q: Let A- {#, 7, x) and let R be the relation on A given by R (7, 7). (#. #)}. Prove or disprove reflex...

A:

Q: 3. S 2r dr

A:

Q: In 2017, an estimated 250,440,000 roses and 140,575,000  carnations were sold on Valentine's Day.  ...

A: Basic rate of change problem

Q: 1800 + 500, where q represents the demand for the product, find the marginal revenue when the demand...

A: To find out the marginal revenue. 

Q: x? — х - 2 lim х->-1 x? + 3x + 2 X→-1

A:

Q: 1. Evaluate the integral x°y dædy. 2. Evaluate the integral I I ? sin(1) dydr. 3. Evaluate the integ...

A:

Q: Evaluate the slope of the function: a. f(x) =x^2 + x - 2                              at x = -1.5 b...

A: Here we have to find the slope of the given different functions.  

Q: local extrema, if the test applies. Otherwise, use the First Derivative Test. f(x)=x^4+8x^3+2 Enter...

A: Given query is to find local extrimas.

Q: A: Assume that the height of your cylinder is 4 inches. Consider A as a function of r, so we can wri...

A: The domain of a function is the set of values of input for which the function is defined.

Q: Use n= 6 and p = 0.75 to complete parts (a) through (d) below. .. (a) Construct a binomial probabili...

A:

Q: solve y’ – (y/x) = xy2

A: We have to solve differential equations

Q: (1 – xy)-²dx + [y² + x²(1 – xy)¯²]dy = 0; when x = 2, y = 1

A:

Q: c. Evaluate the integral. 4 c3 4. S S(x² + 3xy²)dxdy

A:

Q: 1. Find and sketch the domain of the function f(x, y)= In ツー1 Vアーx

A: As per our company guidelines we are supposed to answer only one question at a time. Kindly repost o...

Q: Solve for the Taylor Series of the function, up to the fifth degree: y = cos x + 2 sinx a. for x, = ...

A:

Q: (x² + 1 if x -1

A: For function g(x) to be continuous on -1 limx→-1-g(x)=limx→-1+g(x)=g(-1)   Considerlimx→-1-g(x)=limx...

Q: 3. Suppose at t minutes, r(t) meters is the radius of a circular oil spill from a ruptured tanker an...

A:

Q: 9. dx 1+ ex A - In le *|+ C C - In le x +1 + C %3 In leI+ C B D Inle x+11+ C x- O D O E None

A:

Q: The factorial of a positive integer n, denoted n!, is equal to the product of all integers between 1...

A:

Q: The total amount of money in circulation for the years 1990-2012 can be closely approximated by M(t)...

A:

Q: Solve

A: We will find the graph corresponding to the Differential equation

Q: 6. Compute 1,= de for p= 0,1 10

A:

Q: 9tind the voleime of the s0lid generated by revolving the region bounded by the given lines and curv...

A:

Q: k(1+g)" Suppose you own a rare book whose value at time is given by v(D =k(1+g)", with A.g>0 and osa...

A: Given: The present value is given by PV=k1+gta1+rt Formulas used: ddxxn=nxn-1ddxax=axlnaQuotient rul...

Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

A:

Q: 3. Let v(x, y) = (2x + y, x + 2y – 2). - a. Show that u is conservative by finding its scalar functi...

A: Follow step 2nd   According to guidelines we solve only first three parts. Thank you. 

Q: A spherical balloon is being inflated. Find the rate (in ft?/ft) of increase of the surface area (S ...

A:

Q: Find the nth Taylor polynomial for the function, centered at c. 1 f(x) n = 4, c = 4 Pa(x) =

A:

Q: (3xy – y?)dx + x(x – y)dy = 0

A:

Q: Use are length formula to find the Of the line segment y=l1-7x, OLx

A: solution:-y=11-7x,   0≤x≤5dydx=ddx11-7x=-7Arc length formulas=∫ab1+dydx2dx  

Q: Compute the following limit. 2x-3 as x approaches o x-3 O 2 3 4 1

A:

Q: 2x – x3 1. Evaluate dx. (r – 1)²(x²+1). -

A: we want to find the value of the given integral I=∫2x-x3(x-1)2(x2+1) dx

Q: 4. Are the following functions cubic splines? a. f(x) - x- 2x + 3, 0 sxs 1, - 2x - 3x2 + x + 2, 1 s ...

A: Given :(a) f(x)=x3-2x+3, 0≤x≤1             =2x3-3x2+x+2, 1≤x≤2(b) f(x)=5x3-3x2+1 0≤x≤1             =...

Q: 1 dx x(ln x)² 32. le

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: 1 1 Зп — 1 3n + 2 n=1

A: