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Use a graphing calculator Riemann Sum (found here) to find the following Riemann sums. f(x) =...
Change from rectangular to cylindrical coordinates. (Let r ≥ 0 and 0 ≤ θ ≤ 2π.)...
The rate of change in the value of Joe's investment in Bitcoin obeys the differential equation...
How do you find the power series representation and radius of convergence for g(x) = 6...
a. Each side of a square is increasing at a rate of 2 cm/s. At what...
Find the local maximum and minimum values and saddle point(s) of the function. If you have...
#5) (Please be as clear as possible in your answer and write as big as possible...
infinity Σk=1 (1+1/k)k Using the comparison test, determine if it diverges. Please show all the work.
Find the intervals of increase or decrease. Find the local maximum and minimum values. Find the...
The top of a ladder slides down a vertical wall at a rate of 0.375 m/s....
Find the intervals of increase or decrease. Find the local maximum and minimum values. Find the...
Find the intervals of increase or decrease. Find the local maximum and minimum values. Find the...
find the derivative of the following function y=tanx+4cscx
f(x) = 2x from a = 4 to b = 5 (a) Approximate the area under the curve from a...
Find a function f ( x , y ) such that ∇ f = ( x...
1) State the critical numbers and the intervals on which the given function is increasing/decreasing. State...
What is the difference between the chain rule, product rule, and quotient rule?
Use Stokes' Theorem to evaluate ∫ C F ⋅ dr. In each case C is oriented...
How do i find the linearization of f(x) = x −1 / x +1 at a...
The length of a rectangle is increasing at a rate of 8 cm/s and its width...
Use the shell method to find the volume of the solid generated by revolving the region...
A swimming pool is 20 ft wide, 40 ft long, 3 ft deep at the shallow...
Find the Maclaurin series e^9x
Determine the centroid of the area bounded by 2(?^2+4)−2?−8=0 and 8?+?^2=0.
lim as x->16 (4-x^1/2)/(16x-x^2)
Let F ( x , y ) = 〈 e^x + y^2 − 3 , −...
5. Find Taylor polynomial of degree n, at x = c, for the given function. (a)...
1. Given ?(?) = √? − ? and ?(?) = ? + ?. Find the following:...
?(?)=4?^3/?^?, ?∈(−∞,∞) a. Find ?′(?), and show how to use the First Derivative Test to find...
Find the equations for the tangent line and the normal line to the curve x =...
Please find all of horizontal asymptotes and vertical asymptotes of function f(x) = [−7x^2 * (x...
Let f(x)=4sin(cos(x^3)) Then f′(x)=?
PROBLEM: A cylindrical can is to be made to hold 50 cm3 of oil. Determine the...
Find the 11th term in this sequence: 1,9,17,25,33… Find the 29th term in this sequence: −8,−5,−2,1,4…...
(1 point) Determine the sum of the following series. ∑n=1∞(sin(−1/n)−sin(−1/(n+1))
1.Suppose that vector a = <3,1,2> and vector b = <-1,3,4>. Then the angle between these...
2. Given that ?(?) = ??−??−?/???+?? a. Find Vertical and horizontal asymptotes. b. Graph h(x)
When air expands adiabatically (without gaining or losing heat), its pressure PP and volume VV are...
State the intervals where f(x) = x4 − 8x2 + 8 is increasing, decreasing, concave up,...
evaluate each indefinite integral 4) \int -(2*csc^(2)2x)/(cot(2x)*\sqrt(cot^(2)2x-1)); u=cot2x 5) \int (10x^(4))/(9+4x^(10)); u=2x^(5) 6) \int (20x^(3))/(\sqrt(25-25x^(8))) 7) \int...
Consider lim (x, y)→(0, 0) x2 + y2 xy (see figure). (a) Determine (if possible) the...
Find the values of α and β such that the function f(x) =(αcosx + 2 if...
Find the maximum rate of change of f at the given point and the direction in...
The wave heights h in the open sea depend on the speed v of the wind...
How are the methods of integration of substitution and parts developed?
Find an arc length parametrization of r(t)=<3t^2, 2t^3>. r(g(s))=<_______________, +-____________________>
You are a newly hired air-traffic controller in the town of Newton. An aircraft pilot, under...
If g (x) = 5 + x − 8cot?(pix/8)?, defined on [2,4] (a) Use the Intermediate...
Truck convoy A is approaching a depot from the east at 60 mi/hr while convoy B...
How do you find all numbers c that satisfy the conclusion of Rolle's Theorem?
1- find the divergence of F(x,y,z) = <e^x(y),x^2(z),xyz> at (1,-1,3). 2- find the curl of F(x,y,z)=...
Suppose that the price p (in dollars) of a product is given by the demand function...
Find the point on the line 3x + y = 5 that is closest to the...
Find the absolute maximum and absolute minimum values of f(x)=x^-2 ln(x) on the interval [1,4]. Please...
Consider the following limit. lim x→4 (x2 + 8) Find the limit L. L = 24...
What were the basic features of Modern Republicanism and the most significant domestic initiatives of the...
A farmer has to put in a fence in there rectangular field. If we look at...
Consider the Cobb-Douglas production function, f ( x , y ) = 50 x 4 5...
Use the Divergence Theorem to find the outward flux of F=9y i+5xy j−6z k across the...
Let B be the region bounded by the part of the curve y = sin x,...
Find the area of the region between the graphs of f(x) = 3x3 − x2 −...
Find y′ ′ of the curve x² + xy + y³ =1 at the point (0,1)
1) Consider the function. f(x) = x5 − 5 (a) Find the inverse function of f....
Find the area of the surface of revolution that is generated by revolving the curve x=...
Consider a wire 2 ft long cut into two pieces. One piece forms a circle with...
given field F =[x+y, 2xy ] and c: x= y^2 calculate the line integral along (1,-1)...
A baseball diamond is a square with side 90 ft. A batter hits the ball and...
The temperature on a surface can be described by the equation T(x, y, z) = 2xy...
Given the cost function: C(x) = 1000 + 96x + 2x3/2 Please do the following: 1....
Farmer Jacky has $80,000 to spend on fencing. Her land has a river on the north...
The revenue from selling q items is R(q)=650q−q^2, and the total cost is C(q)=100+11q. Write a...
Which of the following represents the area of the region bounded between the graphs of y=...
Let f (x) = 3x^4 −4x^3 −12x^2 + 1, defined on R. (a) Find the intervals...
Find the slope of the tangent line to the given polar curve at the point specified...
Please show all work for the problem. Explain your steps and why you did it so...
If f ′′(x) = 20x3 +12x2 + 4, f(0) = 8, and f(1) = 5, how...
Compute all second order partial derivatives of f(x, y) = x^4 − 2x ^3 y^2
Find the general solution to the non-homogeneous differential equation. y'' + 4y' + 3y = 2x2...
(1 point) A rancher wants to fence in an area of 1000000 square feet in a...
Carolyn wants to retire in 30 years time, and so decides to start a new retirement...
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