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10. let f(x)= x^3 + 3sinx + 2cosx. a) determine if f^-1 is increasing or decreasing...
Find the area of the region bounded by the curves x+y^2= 2 and x+y=0
Use algebraic method to solve 3 x 3 payoff matrix for the player A given by ...
f(x, y) = x2 + y2 + 2xy + 6. 1. Find all the local extremas....
Let D be the solid region defined by D = {(x, y, z) ∈ R3; y^2...
Find the interval of convergence for the series ∑∞n=0(3x+1)n/5n(n+1)
Find the volume of the solid obtained by rotating the region bounded by the given curves...
if it is known that z=−5z=−5 is one of the roots of f(z)=z4+6z3+13z2−20z−300f(z)=z4+6z3+13z2−20z−300 , find all...
What do level curves of a sphere look like?
Find the absolute extrema of the function on the closed interval. (Order your answers from smallest...
Use Newton's method to find the value of x so that x*sin(2x)=3 x0 = 5 Submit...
5- For f ( x ) = − x 3 + 7 x 2 − 15...
Find x4 by solving the difference equation Xx+1 -5xt = 22 X0 = 1
Laplace transform y' +3y=1; y(0)=-1 and y''+4y=16t; y(0)=3, y'(0)=-6
The function f(x)=−6x3−6.93x2+52.7724x−2.19f(x) is increasing on the open interval ( , ). It is decreasing on the open...
Find the volume under the plane 2x − 3y + 4z = 32 above the triangle...
If F (t) = f (3 f (4 f (0)), where f (0) = 0 and...
Solve for undetermined coefficients: y'''-y''-4y'+4y=5 - e^x +e^2x
The base of the solid S is the circle x2+y2=814. The cross sections perpendicular to the...
Evaluate by using Parts: ∫x3ln x dx
Find the absolute maximum and absolute minimum values of f(x)=x3+3x2−9x+1 on [-5,-1] , along with where...
Find the volume of the largest right circular cylinder that can be inscribed in a sphere...
. For the function f(x) = x 1+x2 (a) find the intervals on which the function...
Find all the maximum values and minimum values of the function. F(x) = x-6 / (x-4)^2
Verify that the function satisfies the hypotheses of the mean value theorem in the given interval....
(a) Find the volume of the solid generated by revolving the region bounded by the curves...
Solve the ordinate of the centroid of the area bounded by the axis and the curves...
2. Consider the plane with a normal vector 〈−9, 18, 18〉 which contains the point (0,...
The second-order Taylor polynomial fort he functions f(x)=x√x about X0= 1 is P2= -1/2+3x/2+3(x-1)^2/8 using the...
Problem: For a two-period binomial model, you are given: (i) Each period is one year. h=1...
Using implicit differentiation, find the derivative of: x^2- 6xy + 2y^3= 10
'ball's temperature' T is Inversely proportional with 'Distance from the center of the ball' when tempertature...
From the roof of the Empire State Building, you throw a coin up in the air...
Find the general solution for the given differential equation x2y′′−9xy′+34y=x53x2y′′−9xy′+34y=x53 NOTE: Write your answer clearly in...
Expand the following with no exponents. f(x) = ln (x4 * h(x) ) Find the equation...
Find the volume of the solid obtained by rotating the region bounded by the given curves...
Use spherical coordinates. Evaluate (2 − x2 − y2) dV, where H is the solid hemisphere...
1- a child's rectangulat play yard is to be built next to the house. to make...
Create a bucket by rotating around the y axis the curve y = 3 ln (...
Use Newton's method to find all solutions of the equation correct to eight decimal places. Start...
A rectangular field is to be enclosed on four sides with a fence. Fencing costs $4...
The half-life of the radioactive material cesium-137 is 30 years. Suppose we have a 180-mg sample....
generate a continuous and differentiable function with the following properties: f(x) is decreasing at x=-5, local...
Find the linear equation of the plane through the point (1,2,3) and contains the line represented...
A contour map is shown for a function f on the square R = [0, 2]...
solve the following differential equation by the homogeneous method, show every step: (5v-u)du+(3v-7u)dv=0
MATHS CALCULUS Find the coordinates of the point on the curve y^2 = (5/2)(x+1), which is...
MATHS CALCULUS Find the point on the x axis the sum of whose distances from (2,0)...
Summation from n=2 to infinity of ln(n)/n^2 * x^n a.) Let x=-1, and compute the integral...
4. You are late on bill payment of 10000$. The contractor offers you two options. To...
5. Suppose xey + yez + 2lnx−2−3ln2 = 0. (a) Find ∂z ∂x. (b) Find ∂z...
(4) If A = 5i + 4j + 2k, B = 4i – 5j + 3k,...
Evaluate the line integral by the two following methods. xy dx + x2y3 dy C is...
QAA: A city bus is stuck in stop-and-go traffic. Let’s say it is at rest at...
The region R enclosed by the curves y=x^3, x=0 and x=5 is rotating about the x-axis....
Find an equation for the line tangent to the curve at the point defined by the...
Evaluate the integral using trig substitution. definite integral from 1 to sqrt(2) 6 / (x^2 sqrt(4-x^2))dx...
Determine whether the series Summation from n equals 0 to infinity e Superscript negative 5 n∑n=0∞e^−5n...
y''+y'+4y=8coswt determine w such that you get the steady-state vibration of maximum possible amplitude and find...
Consider the function f(x,y)= (x+2*y)*e^(x-2y) for all real values (x,y). Determine the linearization to f at...
Let y be the solution of the equation a) y ′ = 2 x y, satisfying...
Let n be a positive integer. Denote by En the vector field − r /(||r||^n) where...
Question: Find the general solution for: xy' + y = x^(2)(ln(x)), you can assume x >...
Find ∂z/∂y at (1, ln2, ln3) if xe^y+ye^z+2 ln〖y-ln〖3=0〗 〗
Find the exact area of the region inside the circle r=2cos(theta) but outside the circle r=1
find d^2y/dx^2 for 3y^2-xy+2x^2=2
At what point on the curve y = 6 + 2ex − 6x is the tangent...
Find a parabola with equation y = ax2 + bx + c that has slope 14...
Find the absolute maximum and minimum values of the function f (x, y) = x^2 xy+on...
Determine whether or not F is a conservative vector field. If it is, find a function...
Determine if the set of functions is linearly independent: 1. f1(x)=cos2x, f2(x)=1, f3(x)=cos^2 x 2. f1(x)=e^...
A 13-foot ladder is leaning against a house when its base begins to slide away. By...
1. A small metal bar, whose initial temperature was 30° C, is dropped into a large...
1. Let u(x) and v(x) be functions such that u(1)=2,u′(1)=3,v(1)=6,v′(1)=−1 If f(x)=u(x)v(x), what is f′(1). Explain...
At a sand and gravel plant, sand is falling off a conveyor and onto a conical...
a) Find the equation of the tangent line to the curve x= 2sin2t, y= 3sint at...
Let D be the quadrilateral with vertices at (0, 0), (1, 1), (1, −1), and (2,...
Given parametric equations below, find d^2y/dx^2 and determine the intervals on which the graph of the...
Are the series convergent or divergent. Use the direct comparison test. If direct comparison test cannot...
Let f be an R → R function. Tell the theorem about the relation of extreme...
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