Directions: Find the limit of the following. 1. lim(x² + 2x – 1) x→2 2. lim (x³ + 8) X--2

Q: If y = Eo(k + 1)z*+3 then y' = .

A:

Q: [3, 5]. - Calculate Rg for f(x) = 7 – x over R8

A:

Q: Find the critical points then sketch the graph of the function below. Provide the first derivative a...

A: Derivative test for maxima and minima: A point x=a is said to be a critical point of a function y=f(...

Q: (5) Given f(x) = x° + 2x-5x- 4, how many values of x does f(x) = 2, for 0 < x < 10? (A) None (B) One...

A:

Q: Find the present value of an ordinary annuity which has payments of $600 per year for 12 years at 7%...

A: To find the present value of annuity

Q: 6. lim In(2+x)-In(1+x) 5. lim In(1+x*)-In(1+x)]

A: Topic = Limits

Q: The annual revenue of Google Inc. over the period January 2008 - January 2015 can be approximated g ...

A: Given derivative of annual revenue function. To find the total revenue earned.  

Q: For the following functions, find: 1. the critical values of the first derivative 2. the intervals w...

A: Given information:- g(x) =x2+3x+8  To find:- 1. the critical values of the first derivative 2. the i...

Q: Find the area of the region that is outside the cardioid r = 6(1 – sin 0) and inside the circle r = ...

A:

Q: Obtain the general solution. (x2 – xy + y²)dx– (xv)dv = 0 O x(2 - 1)e\/x -č O y - 1)e×/Y = C OC- xly...

A: Given the differential equation is x2-xy+y2 dx - xy dy = 0

Q: For the curve x (t) = t², y (t) =t³ – 3t Given the curve crosses itself at (3, 0), a) Find the point...

A:

Q: Find the domain and range of the function h(x, y) = 3\/3y – 12x². %3D

A:

Q: Two sides of a triangle are 8 and 14. Find the size of the angle 0 (in radians) formed by the sides ...

A:

Q: Find an equation of the tangent plane to the surface at the given point. 6x2 + 2y + 4z? = 30, P= (2,...

A: Explanation of the answer is as follows

Q: Distinguish Maxima Problem from Minima Problem.

A: Follow the steps given below.

Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, Р(2,...

A: Given query is to find the direction derivative at given point.

Q: You are given the parametric equations a = 10 – t2, y = t – 12t. (a) List all of the points (x, y) w...

A:

Q: Your monthly profit (in dollars) from selling magazines is given by P = 7x + Vx where x is the numbe...

A: Monthly profit (in dollars) from selling magazines is given by the function,        P=7x+x Where x i...

Q: fcot(x) dx

A: First written cot(x) into cosine and sine form and then by substitution find the integral.

Q: Find the derivative of the function. g(x) = sin 9 + ex g'(x) Need Help? Read It

A: Solution:

Q: Find dV, the estimated change in volume, if the radius of a sphere changes from 6 to 5.9. Round you...

A: Given problem:- Find dV, the estimated change in volume, if the radius of a sphere changes from 6 to...

Q: Let f(x, y, z) = 6xy- z, x = 3r cos(0), y = cos (0), z = 3r. Use the Chain Rule to calculate the par...

A:

Q: Consider the following graph. y -5 -4 3 1 1 2 3 4 6. (a) Find the interval(s) on which f is increasi...

A:

Q: P = xi + yj +zk Q = x²i -z²k R = xy²j – yzk PROVE THAT (QX R) *(dot) P = R *(dot) (P X Q)

A:

Q: Find the fourth order Maclaurin series expansion of the function, f(x) = In(1 - 2x).

A:

Q: Use a linear approximation of f(x)=cos(x) at x=5π6 to approximate cos(149∘). Give your answer round...

A: Here we have to use linear approximation formula. 

Q: If a snowball melts so that its surface area decreases at a rate of 9 cm2/min, find the rate at whic...

A:

Q: Suppose that a particle moves along a line with position function s(t) =2t^2 +3t+1 where s is in met...

A:

Q: Obtain the general solution. 4y dx *-y *+y OC- y? + 2xy - x² OC = 2y + xy -x2 OC- y? + 2xy + x² OC -...

A:

Q: (a) lim e-" (x³ – x² + 9) sin x – x cos x (b) lim x→0 x – sin x (c) lim (x – In x)

A: We need to find limits. NOTE - As per Bartleby's guidelines we can solve only 3 subparts. Please upl...

Q: A small college had enrolled 319 female freshmen and 240 male freshmen for the upcoming semester. Ho...

A:

Q: A population grows according to an exponential growth model. The initial population is P0=4P0=4, and...

A:

Q: Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the gr...

A: In this question we have to find the deaths by AIDS in 2003.

Q: f(x+Ax)-f(x) Ay = lim Ax-0 find the derivative of the Using = lim dx Ax-0 Ax Ax following function. ...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

A: We have to find the critical point

Q: HOMEWORK LG Solve the given initial-value problems. 4.43. xe* dx + (y - 1)dy 0; y(0) =0 4.44. y(3) =...

A:

Q: Write the equation in exponential form. 1 10) loe36

A:

Q: Use the Chain Rule to evaluate the partial derivative ah at the point (q, r) = (1,2), where h(u, v) ...

A: ∂h∂q=(∂h∂u×∂u∂q)+(∂h∂v×∂v∂q)∂h∂q=ev×4q3+uev×r2Substitute q=1 , r=2⇒u=q4=(1)4=1and v=qr2=1×(2)2=4

Q: mg U = k E (1 -e ktlm). At what rate is the velocity is changing at time 0? At t = 6? What do your a...

A:

Q: the radius of convergence R of the series. ř 8^ (x + 4)^ Vn n = 1 R = Find the interval of convergen...

A: Solve the following

Q: af at (r, s) = (1,0), where ds Use the Chain Rule to evaluate the partial derivative f(x, y) = In (x...

A: given f(x,y)=ln(xy) and x=3r+4s ,  y=2r+11s

Q: Let f(x, y) = xe*-y and P = (5, 25). Calculate ||V fpll- (Express numbers in exact form. Use symboli...

A: Solve the following

Q: Please illustrate the difference between a function being continuous and differentiable by presentin...

A: We have to  illustrate the difference between a function being continuous and differentiable functio...

Q: A plane flies horizontally at an altitude of 5 km and passes directly over a tracking telescope on t...

A:

Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = 2x – x°...

A:  

Q: Find the volume of the solid enclosed by the paraboloids: z = 2x2 + y2 and z = = 27 – x² – 2y2. 5.

A:

Q: Find the sum of the convergent series. n = 0

A:

Q: It is known that x>5000. Find the least positive integral solution of the system of congruence equat...

A:

Q: = In(x) – In(y) + *-y dr r+v Homogeneous O Not homogeneous

A:

Q: x6 (x) 12

A: Given:  Given that a piecewise function fx=x,  x&lt;-2x2-4, -2≤x&lt;412,  4&lt;x&lt;68,  x=6-x+10,  ...