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Calculus Questions
A chemical manufacturing plant can produce zz units of chemical Z given p units of chemical...
dy/dx = x^4/y^2 a) use eulers method to approximate the solution at x =1.6 starting at...
Find a power series representation for the function. f(x) = ln(5 − x) f(x) = ln(5)...
find the minimum and Max value of quadratic function y=x^2-3x+5
Given f (x) = xe^11x a. Find the values of x for which the slope of...
find the local extrema of hte function f(x)= sin2x on [0,pi]
Determine ∫π/60xsin(x)dx A. −12+3–√π12 B. 12−3–√π12 C. −12−3–√π12 D. 12+3–√π12 E. 3–√2+π12
Evaluate the Riemann sum for f ( x ) = 0.4 x − 1.7 sin (...
A trough is 10 meters long, 3 meters wide, and 4 meters deep. The vertical cross-section...
Show that the curve x = 7 cos(t), y = 6 sin(t) cos(t) has two tangents...
1. Find the critical numbers of f=sin(x)-cos(x) at interval [0,?]. If there is more more than...
Find the volume under the hyperboloid z = (1 + x2 + y2)1/2 and over the...
What's an example of a function that is not continuous, but the integral still exists?
A manufacturer makes a cylindrical can with a volume of 500 cubic centimeters. What dimensions (radius...
The function f(x,y)equals=8 x squared plus y squared has an absolute maximum value and absolute minimum...
Consider the parametric equations below. x = t sin(t), y = t cos(t), 0 ≤ t ≤ π/3...
Determine the absolute maximum and minimum values of the function f(x)= e^-x^2 over the interval [-2,1]
A population of insects currently numbers 22,800 and is increasing at a rate of R(t) =...
A person wants to invest $25,000 for 3 years and is considering two different investments. The...
Determine whether the series ∞ ∑ n=1 (e^n+1+ (−1)^n+1)/(π^n) converges or diverges. If it is convergent,...
An open rectangular box (no top) is formed with a square base and rectangular sides so...
Find the maximum product of two numbers x and y subject to 3x + 4y =...
Let S be the solid region in 3-space that lies above the surface z = p...
Use the Lagrange multiplier method to solve this problem: Find the maximum value of xyz subject...
Let F = (sin(x 3 ), 2yex 2 ). Evaluate the line integral Z C F...
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) =...
Evaluate the Riemann sum for f ( x ) = ln ( x ) − 0.9...
As a consultant for Maui Surf Shop you determine that the demand for custom made surfboards...
Derivative of: ln(ln(|1+2cosx|)
Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...
A) Find an approximation of the area of the region R under the graph of the...
Find the area of the region enclosed by one loop of the curve: r=3cos(7theta)
Consider the spiral given parametrically by x(t)=2e^(−0.1t) * sin(3t) y(t)=2e^(−0.1t) * cos(3t) on the interval 0≤t≤7...
the concentration of a medicine in the bloodstream after t hours of taking it is given...
For the function f(x) =x(x−4)^3 • Find all x-intercepts and find the y-intercept • Find all...
The rate of change of y is proportional to the product of y and the difference...
determine whether Rolle's Theorem applies to the following function on the given interval. If so, find...
Calculate the area of the region bounded by the curves x=3-y^2 and x=y+1
Estimate the area under the graph of f(x)=1x+1f(x)=1x+1 over the interval [2,7][2,7] using eight approximating rectangles...
Determine whether the Mean Value theorem can be applied to f on the closed interval [a,...
find the solution for the DE dy/dt +ty^3 +y/t = 0 answer explicitly if passible
Find the exact length of the curve. x = 9 + 12t2, y = 2 + 8t3, 0...
Find the angle between the vectors < 1, 2, –2 > and < 4 ,0, –3...
Determine whether the given series is convergent or divergent. Show you work and state the theorem/test...
Use polar coordinates to find the volume of the given solid. Inside the sphere x2 +...
Use the ratio test to determine convergence or divergence. If the ratio test is inconclusive, use...
A company produces and sells 2,500 sets of silverware each year. Each production run has a...
what is the equation of a tangent line at ?(?)=?−2/1+4? at ?=1 ?
Let L(x) be the tangent to the curve f(x) = x^ 4−2x ^2−x at x =...
for 0(x,y,z) = (x^2 y^2 z^2) / 2. calculate div(grad 0) and curl(grad 0) pretend the...
Find the area stated: The area between the curves y = x^1/2 and y = 2x3/88
Evaluate the double integral for the function f(x, y) and the given region R. f(x, y)...
An airliner passes over an airport at noon traveling 520 mi/hr due east. At 1:00 p.m...
Find the equation of the tangent line y=mx+b y=e2x+2x at x=0 m=??? n=???
Consider the solid that lies above the square (in the xy-plane) R=[0,2]×[0,2]R=[0,2]×[0,2], and below the elliptic...
A movie theater has been charging $10.00 per person and selling about 500 tickets on a...
Future Value of an Investment An investment is projected to generate a continuous revenue stream at...
Suppose that f ( x , y ) = x 4 + y 4 − x...
Use the Left and Right Riemann Sums with 100 rectangles to estimate the (signed) area under...
A tank contains 210 liters of fluid in which 20 grams of salt is dissolved. Brine...
A farmer is going to build a storage silo that is an open-topped cylinder covered by...
For each of the following sets S, find sup(S) and inf(S) if they exist: (a) {x...
Suppose that ?(?)=−3?2−7. (A) Find the slope of the line tangent to ?(?) at ?=−1. (B)...
Check if the following functions satisfy the differential equation dy/dx = x+y. In each case, after...
Given the demand equation: p = 500e^(-q/90) Find the point elasticity at q = 290 η...
A patient is continually receiving a drug. If the drug is eliminated from the body over...
Use Green's Theorem to evaluate the line integral ∫CF·dr along the given positively oriented curve. F(x,...
a) Find a parametric equation for a curve given as an intersection of a sphere x^2...
Solve the following a)y=tan^-1 (sqrt((x+1)/(x+2) b)y=ln(sin^-1(x)) c)d/dx[sec^-1(x)]=1/(x(sqrt(x^2 -1) d)Find Y' tan^-1(x^2 y)=x+xy^2
Determine the point on the hyperbola 8x^2−2y^2=10 closest to the point (0, 6)?
Find the absolute maximum of f(x, y) = - 2y/(x^2 + y^2 + 1) on the...
So confused because i keep getting 71 and its not right. Find the volume V of...
solve for y: 1. dy/dx= xe^y separable 2. x(dy/dx)+3y=x^2 when y(5)=0 1st order linear
Find the circular cylinder of largest lateral area which can be inscribed in a sphere of...
For the given functions, find y′ . You do not need to simplify the answer. a....
Determine the parametric equations of the path of a particle that travels the circle: (x−1)^2+(y−2)^2=100 on...
3. Sketch the graph of f(x) = sin(x) + sin(2x), by at least finding where it’s...
Find the Laplace Transform of the following functions: 1. e^(-2t+1) 2. cos^2(2t) 3. sin^2(3t)
A baseball team plays in he stadium that holds 72000 spectators. With the ticket price at...
A dog food producer reduced the price of a dog food. With the price at $11...
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