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Calculus Questions
Use Green's Theorem to evaluate the line integral along the given positively oriented curve. C...
Find the area of the region enclosed by the curves x=2y and 4x=y^2
what is the inverse laplace of (e^-s)/(s^2(s+2))(t)
x=2+3lnx x=???
(a) Using the second derivative test, find the relative/local extrema (maxima and minima) of the function...
Estimate the area A between the graph of the function f(x)=3cos x and the interval [0,π/2]....
Sketch the region enclosed by the curves y=x(1-x) and y=-9x+9 then compute its area.
Lets consider the solid bounded above a sphere x^2+y^2+z^2=2 and below by the paraboloid z=x^2+y^2. Express...
Find the absolute maximum and absolute minimum values of f on the given interval. (Round your...
Use the limit definition of the derivative to find the equation of the tangent line to...
In a certain city the temperature (in °F) t hours after 9 AM was modeled by...
1)A company invests $10000 in a CD that earns 5% compounded continuosly. How long will it...
What is the length of the projection of the unit vector of the direction unit vector...
For the function f(x)=(x-3)sin3x find f(13)(0) and f(18)(0) using the Maclaurin Series.
For the following vector fields F , decide whether it is conservative or not by computing...
(1 point) The point P(1/5,10) lies on the curve y=2/x . Let Q be the point...
For the function f(x, y)=ln(1+xy) a.Find the value of the directional derivative of f at the...
Find the solution of the given initial value problem: y " + y = f(t); y(0)...
solve the given differential equation by undetermined coefficients. y"-y'-2y=e^2x
LINEAR ALGEBRA For the matrix B= 1 -4 7 -5 0 1 -4 3 2 ...
Find the present value of the ordinary annuity. Payments of $93 made quarterly for at 5.7% compounded...
Find the area of the region that lies inside both of the curves: r = 2...
Find the equation of the tangent plane (in terms of x, y and z) to the...
What's the general solution (c1x1(t) +c2x2(t)) of a differential equation x'(t) = Ax(t) with a matrix...
Given cost and revenue functions and C(q)=112q+31000 R(q)=−3q2+3000q, how many items must the company produce and...
Great Green, Inc determines that it’s marginal revenue per day is given by: R’(t)= 75e^t-2t, R(0)=0,...
The position of an object in circular motion is modeled by the given parametric equations. Describe...
A tank contains 20 kg of salt dissolve in 5000 L of water. Brine that contain...
determine the value of a for which the area of the region bounded by the cardioid...
17.)Find the curvature of r(t) at the point (1, 0, 0). r(t) = et cos(t), et...
differential equation one solution is given, xy''-(2x+1)y'+(x+1)y=x^2; y_1=e^x
please answer all of them; only need final answer h. The length of the vector c...
Find the limit. lim t→0 6et − 6 t , 1 + t − 1 t...
Find the volume V of the solid obtained by rotating the region bounded by the given...
Solve and classify the type and stability of the origin for the system x'= -x y'=...
test question find an equation of the line / tangent to the graph of the equation...
A cannon is fired at an angle of 50 ° with the horizontal. If the cannonball...
water is leaking out of aninverted tank at a rate of 8200.0 cubic centimeters pre min...
Suppose the demand for a product is given by 2p^3q = 500,000+500p^2 where p is price...
Find the differential Equation of xy'-2y+(2x^3)e^-x=0
Find the derivative of the function using the definition of derivative. g(x) = sqrt 9 −...
Use the given transformation to evaluate the double integral. (12x + 12y) dA R , where...
When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are...
Find the absolute extrema of f(x, y) = cos x + cos y on the diamond...
Find the spherical coordinates of a point P with cylindrical coordinates (r,θ,z). Draw a figure.
Use a finite approximation to estimate the area under the graph of the given function on...
2. (15 pts) For an object in motion, the distance it travels is described by the...
Solve the equation y''-y'=-3 y(0)=0 and y'(0)=0 by using laplace transforms
Find the Arc Length f(x)= 3y^3 Intervals [1,2] please show steps
Solve the equation y''-y'=-3 y(0)=0 and y'(0)=0 by using the method of parameters and determinants
Examine whether or not these pair of lines are perpendicular to each other. (1) y -...
Let f ( x ) = − 3 x 3 − 9 x 2 + 72...
Find an equation of the normal plane to x = t, y = t2 , z...
Find the derivative of the following functions (a) f(x) = ln(√x3 −2x) (b) g(x) =√x2 +...
14a. Find the gradient vector field of ?(?, ?, ?) = (? ^2)(?)(? ^(?/z)) 14b An...
What is the meaning and concept of simple algebraic, quadratic, exponential equations.
Let a > b. Suppose a particle moves in an elliptical path given by r(t) =...
Find the tangent to the function f(x) = sin(2x) at x = π.
An apple orchard has an average yield of 32 bushels of apples per tree if tree...
The value (in $) of a new cryptocurrency, mathcoin, as a function of time x in...
Using cylindrical coordinates, find the volume above the ?? −plane and the cylinder ? 2 +...
2) Find the function f if a) f '' (x) = 6 x + 12 x...
Solve the equation y''-y'=-3 y(0)=0 and y'(0)=0 by using the method of undetermined coefficient.
The minimum value of f left parenthesis x comma y comma z right parenthesis equals x...
Find the area of the region bounded by the graphs of the given equations. y=2x^2-9x+13, y=x^2+3x-7
find dy/dx by using implicit function theorem. (a) x=lny (b) x(x+y)=1 (c)ay^2+by+c=x (a, b, c are...
Find the point (?0, ?0) ( x 0 , y 0 ) on the line 6?+11?=11...
Let C be the positively oriented square with vertices (0,0), (2,0), (2,2), (0,2). Use Green's Theorem...
What are the largest and smallest outputs of the function x2+2y2 on the ellipse x2+y2+xy=3
onsider the following problem. Find the distance traveled in 20 seconds by an object traveling at...
. Consider the following. f (x) = x^5 − x^3+5 , − 1 ≤ x ≤...
Find the solution of the given initial value problem: y(4)+2y′′+y=5t+2; y(0)=y′(0)=0, y′′(0)=y'''(0)=1
For each of the following vector fields F , decide whether it is conservative or not...
for a and b use x= Square root x and g(x)=x/2 a) Find the arc length...
1. What are the possible eigenvalues of a square matrix P which satisfies P^2=P?
Let vector u= 5i+3j+8k and vector v= i-j+2k Find the component of v parallel to u...
(1 point) For each of the following vector fields F , decide whether it is conservative...
Find the rectangular shape of area A= 25 and minimum perimeter
Derivative of a function is x2 + x - 2. a) At which open interval is...
a conical water tank with the vertex down has a radius of 9feet at the top...
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