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Let F(x, y, z) = z tan−1(y2)i + z3 ln(x2 + 9)j + zk. Find the...
1 point) Write the Maclaurin series for f(x)=10cos(8x^2)f(x)=10cos(8x^2) as ∑n=0∞cnxn.∑n=0∞cnxn. Find the following coefficients. c0c0 =...
Let z=f(a,b,c) where a=g(s,t), b=h(l(s+t),t), c=tsin(s). f,g,h,l are all differentiable functions. Compute the partial derivatives of...
1. Answer Following Questions, Show work, clear hand writing, thank you a. Set up (i.e. DO...
1. a) Let F(x,y) = hcosy,−xsiny + 2yi. Show that F is conservative, and find a...
Finding the volume of a solid bounded by two cylinders: Calculate the volume of a solid...
Consider the graph y=x^3+3x^2-24x+10 Determine: a) interval(s) on which it is increasing b) interval(s) on which...
solve diff equation: y'' - 2y' + y = (e^t)/t
3. (a) Find the volume of the solid generated by revolving the region bounded by the...
Using any method, SET UP, but do NOT evaluate, an integral representing the volume of the...
Use the Fundamental Theorem of Calculus, Part I to find the area of the region under...
Volume and cylinder shell method Find the volume of the solid formed by rotating the region...
1. A plane passes through A(1, 2, 3), B(1, -1, 0) and C(2, -3, -4). Determine...
A rectangular storage container with an open top has a volume of 10 m3 . The...
ind the critical values of , find the intervals on which f(x) is increasing and ?(?)=4?3―12?2―96?decreasing,...
y´´-6y´+13y=0, y(0)=2, y´(0)=0 Use Laplace Tranform please, as quick as posible.
find the nth term of the following sequence, does it converge? {2/1, 6/10, 12/100, 60/1000....}
solve ivp: (y+6x^2)dx + (xlnx-2xy)dy = 0, y(1)=2, x>0
If sinx=cosx, what is the value of x or intersection point of this graph? (Dear tutor,...
Find the equation(s) of the tangent line(s) to the graph of the indicated equation at the...
A trough is 9 meters long, 2 meters wide, and 3 meters deep. The vertical cross-section...
Answer two parts a)If r(t) is the position of an object, then unit tangent vector T(t)...
Consider the function below. (If an answer does not exist, enter DNE.) h(x) = (x +...
Identify (basically, state the name of) each conic and sketch a graph. Label important point(s). a)...
Find a vector equation, parametric equations, and symmetric equations for the line through the point (6,...
u = 2i − j + k v = 3j − 4k w = −5i +...
(2xy+x^2+3y^2)dy/dx+(y^2+2xy+3x^2)=0
Use implicit differentiation to find an equation of the tangent line to the curve at the...
Suppose that f(x,y)=xy. Find the directional derivative of f(x,y) in the directional 〈−6,3〉 and at the...
A ball is thrown straight down from the top of a 497-foot building with an initial...
Let f(x, y) = x^2 ln(x^3 + y). (a) Find the gradient of f. (b) Find...
Consider the following region R and the vector field F. a. Compute the two-dimensional divergence of...
Find the local maximum and minimum values and saddle point(s) of the function. If you have...
a closed rectangular container with a square base is to have a volume of 2400 cubic...
Find f. f ''(x) = −2 + 36x − 12x2, f(0) = 8, f '(0) = 14
xy'-13y=x^14e^x
Solve the triple integral where is the unit ball
Use implicit differentiation to find dy/dx of: (x+y)4=4y-9x
either prove that it’s true by explicitly using limit laws, or give examples of functions that...
A rod with density δ(x)=2+sin(x) (in mass per unit length) lies on the x-axis between x=0...
1) Find the arclength of y=4x+3 on 0≤x≤3 2) Find the arclength of y=3x^3/2 on 1≤x≤3...
A window is composed of a semicircle placed on top of a rectangle. If you have...
Determine both the radius of convergence and the interval of convergence for ∞ ∑ (((-1)^n)(x^n))/(cube root...
Find the orthogonal trajectories to the family of curves y(x^3+c1) = 3
Given cost and price (demand) functions C(q)=120q+47,500 p(q)=−2.1q+800, what profit can the company earn by selling...
Consider the parametric curve given by x ( t ) = e t c o s...
Using any method, SET UP, but do NOT evaluate, an integral representing the volume of the...
Consider curve C with parametric equations x=t^2, y=t^3−3t So the graph of C contains (one,two, three...
(1 point) A Norman window has the shape of a semicircle atop a rectangle so that...
Homework #3 In the next given exercise use the simpsons rule to estimate the integral y...
Question 1 [? + ?] a) Find the lines that are tangent and normal to the...
3) For a certain good we have q = f ( p ) = 200 e −...
Instruction : Use the last two digits of your ID number for “N” in the following...
((24)/(4!))(x-2)4+((24)/(3!))(x-2)3+((8)/(2!))(x-2)2+(x-2)-2 With explanation please, thank you!
1) Solve the given differential equation by separation of variables. exy dy/dx = e−y + e−6x...
1) Consider the following initial-value problem. (x + y)2 dx + (2xy + x2 − 2) dy...
Dana runs a bakery that sells two kinds of cookies. Dana knows the bakery must make...
You are designing a rectangular poster to contain 64 in2 of printing with a 4-in margin...
Find the derivative using the definition: A) f(x) = 1 if x is less than or...
Find the absolute maximum and absolute minimum for f left parenthesis x right parenthesis space equals...
Determine whether the Mean Value theorem can be applied to f on the closed interval [a,...
To compute the integral ∫cos3(x)esin(x)dx, we should use first the substitution u= __________ to obtain the...
Let f(x) = (x2 + 3x + 1)e-x . (a) (1 pt) Find f' (x) (b)...
A piston is seated at the top of a cylindrical chamber with radius 2 cm when...
7. Suppose the cost, in dollars, of producing x items is given by the function C(x)...
A water trough is 10 m long and has a cross-section in the shape of an...
Explain what is wrong with the statement “If f(x) has a local maximum at x =...
find dy/dx. yo do not need to simplify. 1. 4cos(x)sin(y)+tan(x/y)=1+x+y 2. x/y=cosx Please show work.
A grain silo consists of a cylindrical concrete lower surmounted by a mental hemispherical dome. The...
Solve the initial value problem below using the method of Laplace transforms. y''-y'-30y=0, y(0) = 4...
Consider the initial value problem 2y′′+11y′+5y=aδ(t−1), y(0)=y′(0)=0 , where δ denotes the impulse function. Suppose that...
Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below....
Let f(x)=4x(^3)-9x(^2)+6x-1 Find: a.) absolute minimum of f(x) on the interval [0,1]. b.) absolute maximum of...
Find the area of the region enclosed by curve r= 5sin2O in first and third quadrants.
find the area of the region enclosed by curve r=5sin2theta in the first and third quardrant
A mass weighting 8 lbs stretches a spring 2 inches. The mass is in a medium...
One safe investment pays 10% per year, and a more risky investment pays 18% per year....
Find the area of the surface obtained by rotating the following curve about the x axis....
1. a) For the surface f(x, y, z) = xy + yz + xz = 3,...
Assume that 1+2x is the linear approximation for sqrt(1+4x) near x = 0. Use it to...
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