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finding the inflection point(s) of this function ( 1/5x^5-4/3x^3 ) !
1. A trough in the shape of a box holds water, with base dimensions 10 feet...
Find dy/dx by implicit differentiation: A.). x^4 + y^3 = 3 B.). 5x^2 +3xy - y^2...
Compute the mean and median for a random variable with the probability density function shown below.
Let f(x) be a quadratic function such that f(0)=−6 and ∫f(x)x2(x+5)7dx Determine the value of f′(0).
What does it mean to find the subset on which a function is well-defined? How would...
The figure shows five equally spaced holes on an 100mm diameter circle. Calculate the co-ordinates relative...
How do I find out whether f(x)=tanh (hyperbolic tangent) defined on f: R->R is increasing or...
1. Explain why the following statements are false by giving a counterexample and Change the conditions...
Evaluate the circulation of ?⃗ =???⃗ +??⃗ +6??⃗ around a square of side 8, centered at...
Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of :...
Find the volume of the solid that lies under the paraboloid z = x^2 + y^2...
determine whether function f is invertible: f'(x)=x^2+1 f'(x)=x^2-1 f'(x)=sinx f'(x)=pi/2+tan^-1(x)
(a) Estimate the area under the graph of f(x) = 2/x from x = 1 to...
Sketch the graph of f by hand and use your sketch to find the absolute and...
Consider the following statements. (i) The differential equation y′ + P(x) y = Q(x) has the...
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an...
How come integral -1 to 1 (sqrt (1+x^2)) dx can be the same as 2* integral...
1. Differentiate the following functions. Do not simplify. (a) f(x) = x^7 tan(x) (b) g(x) =...
Find the local maximum and minimum values and saddle point(s) of the function. If you have...
A solid is formed by rotating the region bounded by the curve ?=?−6?/2y=e−6x/2 and the ?x-axis...
Find the centroid of the region bounded by the curve y = x3 and x =...
Find the work done by a force F = 6i − 8j + 5k that moves...
Determine the centroid of the 1st quadrant area bounded by the curve y = 4 -...
Find the volume of the parallelepiped determined by the vectors a, b, and c. a =...
Find the scalar and vector projections of b onto a. a = −3, 6, −2 ,...
Write the curve given by r(t)=((3/2)t)i+(t^3/2)j as a function r(s) parameterized by the arc length s...
Determine whether each of the following functions is a solution of wave equation: a) u(x, t)...
A metal plate, with constant density 3 g/cm22, has a shape bounded by the curve ?=?^(2)...
Use Lagrange Multiplers to find the minimum of the function subject to the given constraint(s). f(x,y,z,t)=7x+7y+7z+7t,...
For the function f(x)=5xln(x), find the Taylor Polynomial P5(x) for f at c=1. (Use symbolic notation...
Find f. f ''(θ) = sin(θ) + cos(θ), f(0) = 4, f '(0) = 3 f(θ) =
Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for...
Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for...
Consider the Riemann sum , where for , Rn = Σ √xk . delata x ....
derivative of 2x/√x+1
Find the derivative and don't simplify. a) [ x^3 (1+x^2)^4 ] / (x^3 + 1)^2 b)...
Compute the directional derivative of f at the given point in the direction of the indicated...
Its required a work of 50J to stretch a spring 7cm beyond its natural length. find...
Find the equation of the tangent plane and normal line to the following surfaces at the...
Find an equation for the line tangent to y=5-7x^2 at (2,-23)
A boat is pulled into a dock by a rope attached to the bow of the...
Find the mass of the triangular region with vertices (0, 0), (1, 0), and (0, 5),...
The automobile assembly plant you manage has a Cobb-Douglas production function given by P = 30x0.2y0.8...
Being f (x) = x^2 - 4x - 3, determine the slope of the line tangent...
Find the slope of the tangent line to the curve sqrt(4?+3?) + sqrt(xy) = sqrt(29) +...
The temperature at a point (x,y,z) is given by T(x,y,z)=200e−x2−y2/4−z2/9, where T is measured in degrees...
At noon, the Titanic is 1414 nautical miles due west of the SS Minnow. The Titanic...
find the location of all horizonal and vertical tangents for x^2 - xy^2 =49
what is the vertical and horizontal asymptotes of f(x)=1+x^2\4x^2-x^4
(To find the trace using substitution) Substitute the equation for each coordinate plane (z=0, x=0, or...
(To find the trace using substitution) Substitute the equation for each coordinate plane (z=0, x=0, or...
the values of two functions, f and g, are given in a table. One, both, or...
In problems 1-10 do the following • Solve the given system by systematic elimination of unknowns...
determine the location in value of the absolute extreme values of F on the given interval...
State patrol officer saw a car start from rest of the highway on ramp she radio...
Verify that the function y=x^2+c/x^2 is a solution of the differential equation xy′+2y=4x^2, (x>0). b) Find...
The top of a 5-foot ladder is sliding down a wall at a rate of 7...
Use the Theorem of Pappus to find the volume of the given solid. The solid obtained...
y''+y=5cost-sint use undetermined coefficients to find the general solution
There is an object that weighs 8 pounds that stretches a spring 6 inches. The system...
determine the equation of tangent line to the graph of y=tan(1/2x)+xcot(2x+pi/4) at x=pi/2
Find the inverse Laplace transform of (2s+9)/(s^2+19s) where s>0 y(t)=
Find the exact length of the curve. x = 5 + 12t2, y = 8 + 8t3, 0...
Find the local maximum and minimum values and saddle point(s) of the function. If you have...
Find exact coordinates of the centroid of the region bounded by the given curves. y =...
SCalcET8 14.7.010. My Notes Ask Your Teacher Find the local maximum and minimum values and saddle...
I need to find dy/dx if y = pi^x(ln(sqrt(tanx)) I get y' = pi^xln(pi)(ln(sqrt(tanx))+pi^xsec^2x/2tanx However, I...
Let f(x)=x^2- lnx. Find the local maximum and minimum values of f by using the Second...
1. The estimated monthly sales of Mona Lisa paint-by-number sets is given by the formula :...
I need to find dy/dx if y = (e^(x^2))(x+1)^x my solution is y' = 2x(e^(x^2))(x+1)^x+(e^(x^2))(x+1)^x(ln(x+1)+x/(x+1)) is...
Let a > 0 and f be continuous on [-a, a]. Suppose that f'(x) exists and...
Let p and q be two real numbers with p > 0. Show that the equation...
Give an example of a convergent alternating series where the conditions of the alternating series test...
A spring has a natural length of 50 cm. If a 60-N force is required to...
If f is a differentiable, real-valued function such that f′(c) < 0 and f′′(c) < 0,...
solve these differential equations and state the equilibrium solutions if any exist. y'= x^2 +2x +...
Two boats are a the centre of a lake. At time t = 0, one boat...
Find an equation of the tangent plane to the surface z = x/y2 at (−4, 2,...
Find the volume of the solid formed by rotating the region enclosed by ?=e^(4?) + 2,?=0,...
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