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Calculus Questions
A 10 foot ladder is being pushed up the side of a wall at a rate...
Use the trapezoidal rule with n=4 steps to estimate the integral. Integral from -1 to 1(x^2+6)dx...
(a) Find the elasticity of the demand function p2 + 2p + q = 81 at...
(1 point) The function f(x)=−2x^3+21x^2−36x+11 has one local minimum and one local maximum. This function has...
The total resistance R produced by three conductors with resistances R1, R2, R3 connected in a...
In this problem, p is the price per unit in dollars and q is the number...
at what point on the curve y=sqrt(1+2x) is the tangent line perpendicular to the line 15x+3y=1
Use the midpoint rule with 4 rectangles to approximate the area of the region bounded above...
Suppose the function g(x) has a domain of all real numbers except x = −8. The...
Find the absolute maximum value and absolute minimum value of f(x,y) = x2 +2y2−2x−4y+1 on the...
Calculus is needed. Perpetuity X has level payments of $220 at the end of each year....
A company making widgets has a price-demand equation p(x) = 400 − .02x where x is...
1. a) The domain of the inverse of the exponential function ? = ?x is ________________________....
Sketch the following function, y = 5x3 + 7x2 + 2x Label the coordinates for the...
A home gardener estimates that 22 apple trees will have an average yield of 200 apples...
A company is making a square based box. The company wants the box to have an...
Find the point on the graph of the function that is closest to the given point....
A container in the shape of a right circular cylinder with no top (but it does...
Using the concepts that we discussed in Chapters 2, 3 and 5, tell me as much...
The marketing department of a business has determined that the demand for a product can be...
Find the point on the graph of the function closest to the given point (1, 5)...
An archaeologist finds a wood fragment that has 110110 of the original proportion of Carbon-14. How...
A car rental agency rents 440 cars per day at a rate of $20 per day....
The short term demand for a product can be approximated by q=D(p)=175(100−p2) where p represents the...
The average ticket price for a concert at the opera house was $35 The average attendance...
The weekly sales of Honolulu Red Oranges is given by q = 1120 − 20p. Calculate...
Find the area of the part of the circle r=8sinθ+cosθ in the fourth quadrant .
Find the mass of a lamina bounded by y=3√x,x=9,and y=0 with the density function σ(x,y)=x+2
For f(x) = 2x4 - 4x2 + 1 find the open intervals in which the function...
derivative f(x)=x^3 (1-1/x+8)
The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug...
Until recently, hamburgers at the city sports arena cost $3.20 each. The food concessionaire sold an...
A cable that weighs 2.5 lb/ft is used to lift 1100 lb of coal up a...
A tank in the shape of an inverted right circular cone has height 88 meters and...
Given w=(9r2+4s2+3t2)1/2 Find ∂w/∂r, ∂w/∂s, and ∂w/∂t.
Evaluate the vector line integral F*dr of F(x,y) = <xy,y> along the line segment K from...
A solid lies between planes perpendicular to the x-axis at x equals negative 6x=−6 and x...
Approximate ∫0-pi (x sin(x)) dx using the first three terms of the appropriate power series. Round...
1. Find the point on the line y = x − 6 that is closest to...
A landlord owns 120 apartments and is looking to maximize their profit. The landlord believes that...
Find the parameterization of the function y= x^2 from (2,4) to (10,100). Then find the length...
Suppose the weekly demand at Bae's Jewelry Store is given by the radical function q(p) =...
Use a coordinate change to find the area of the parallelogram bounded by the lines y...
A cylindrical tank is sitting horizontally. The tank has radius 5 ft and has length 8...
integrate the function f(x)=x^(3)e^(2x)
(1 point) A trough is 6 feet long and 1 foot high. The vertical cross-section of...
Find the volume of the solid formed by rotating the area bound by x-axis and the...
Let Q1 be a constant so that Q1 = L(−3, 2), where z = L(x, y)...
The rectangular coordinates of a point are given. Plot the point. (−5, 12) Find two sets...
Co nsider the IVP dy/dt= 1+ ty, 1≤ t ≤ 2, y(1)=2 with h=0.3. Using Heun's...
A container in the shape of a right circular cone can hold up 2L of water....
A genie pops out of a lamp and presents you with the following two choices: A)...
Find all local maximum or local minimum or saddle point for f(x,y)= 8y^3 + 12x^2 -24xy
A pot of soup is removed from a burner on a stovetop. Its initial temperature is...
Find the area that is inside ? = 2 and outside of ? = 3 +...
Use logarithmic differentiation to find the simplified derivative of the equation, ? = (2? − 3)^3...
find the limit as x approaches zero of (cot (pi/3 + x) - cot (pi/3)) /...
Evaluate the double integral of 5x3cos(y3) dA where D is the region bounded by y=2, y=(1/4)x2,...
A pulsar is a rapidly rotating neutron star that emits a radio beam the way a...
the graph of the function g(x) = x - 2cosx + 3 is shown. (a) determine...
Let r, s be constants such that 0<4r < s <20. Assume an objective function Z=...
sketch the curve with the given polar equation by first sketching the graph of r as...
Find dy/dt. y=cos(sqrt 4t+12)
Use Simpson's Rule with n = 10 to estimate the arc length of the curve. Compare...
A) Find a vector that measures 3 in the direction of the vector 2i + 3j...
Given z = (3x)/((x2+y2)1/2) , Find ∂z/∂x and ∂z/∂y.
The line that is normal to the curve X^2+XY-2y^2=0 at (2,2) intersects the curve what other...
Find the directional derivative of the function at the given point in the direction of the...
Use the method of Shell to calculate the volume y=2x, y=x^2, rotate about the line x...
find the derivative of each of the following show all work and circle answer please part...
Let f(x,y) = 3x^2 + cos(Pi*y). a) f has a saddle point at (0,k) whenever k...
Use the process of implicit differentiation to find dy/dx given that: 5x3 y4+3y2/4x3=5xy. Apply implicit differentiation...
Sketch the graph of a function that satisfies the given criteria. f(1) = 0, f^ prime...
1) Verify the following identities a) cosh2(x) - sin2h(x) = 1 b) cosh(x+y) = cosh(x) cosh(y)...
the region enclosed by the cylinder x^2+y^2=64 and the planes z=0 and x+y+z=16
Given a function?(?)= −?5 +5?−10, −2 ≤ ? ≤ 2 (a) Find critical numbers (b) Find...
Find the derivative and simplify completely ?(?) = ??^(2?+3) ?(?) = 5?^2 − ln(? + 3)
Consider the polar curve r = 2 cos theta. Determine the slope of the tangent line...
Give the solution to a homogeneous differential equation with an auxiliary equation having the roots (a+bi),...
Use the rectangles to approximate the area of the region. (Round your answer to three decimal...
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