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Calculus Questions
1. Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval?...
g(x)=[x3(3x-1)^2(2x+1)]^1/2 find the derivative
Suppose that it costs c(x) = 156.66x^2 + 13315.79x + 50600.00 dollars to produce (x) boats...
Use the Mean Value Theorem prove that sin x ≤ x for all x > 0
Find the center of mass of the region between y = √ 4 − x2 and...
lim x→0 ((1+sin)^cotx-e)/tanx How can I solve it? lim x→0 ((1+sinx)^cotx-e)/tanx I missed x
According to the Existence and Uniqueness Theorem, which of the following differential equations are guaranteed to...
A home gardener estimates that 16 apple trees will have an average yield of 128 apples...
1. Consider the following optimization problem. Find two positive numbers x and y whose sum is...
Set up, but do not solve, the triple integral for determining the mass of the sphere...
A strawberry farmer will receive $38 per bushel of strawberries during the first week of harvesting....
A company is producing tires for cars. The weekly cost of producing x tires is given...
Use the midpoint rule with 4 rectangles to approximate the area under f(x)=x2 over [2,4]. Give...
. Find the flux of the vector field F~ (x, y, z) = <y,-x,z> over a...
Use Euler's method with step size 0.5 to compute the approximate y-values y1, y2, y3 and...
Determine the absolute maximum and minimum values of the following functions on the given interval a....
Suppose f(x,y)=(x-y)(1-xy) Find the following a.) The local maxima of f b.) The local minima of...
Integrate using a trigonometric substitution, showing all work clearly, using the technique I taught, including the...
By cutting away identical squares from each corner of a rectangular piece of cardboard and folding...
An oil refinery is located 1 km north of the north bank of a straight river...
Change from rectangular to spherical coordinates. (Let ρ ≥ 0, 0 ≤ θ ≤ 2π, and...
Two carts, A and B, are connected by a rope 39 ft long that passes over...
evaluate the definite integral top:1 bottom:-1 function: 8x^6-3x^3+3x^2dx
A car rental agency rents 200 cars per day at a rate of 30 dollars per...
1. Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval....
The function s(t) describes the position of a particle moving along a coordinate line, where s...
Sand falls from a conveyor belt at a rate of 13 m^3/min onto the top of...
Find a formula for RN for the function f(x) = 10x^2 − 4 on [2, 5]...
Suppose the production of a firm is modeled by P(k, l) = 16k2/3l1/3, where k measures...
Calculate the average rate of change of the given function f over the intervals [a, a...
Sketch the graph of a function f that is continuous on (−∞,∞) and has all of...
If 0≤f(x)≤g(x) for x in the interval [a, b],can the surface obtained by rotating the graph...
4) Solve the following differential equation dy dx = y x + x pls show me...
Approximate the area under the curve on the specified interval as directed. f(x) = x ·...
The table below describes the smoking habits of a group of asthma sufferers. nonsmoker light smoker...
1. Let f(x)=(x^2+1)(2x-3) Find the equation of the line tangent to the graph of f(x) at...
The atmospheric pressure, P, decreases exponentially with altitude, h. Suppose the air pressure is 101.3 kPa...
For a quantity x of a certain product the demand function d(x) and the supply function...
A model for the surface area of a human body is given by the function S...
A particle of mass m=0.2kg moves in the xy plane subject to a force such as...
Find the arc length (exact value) of the polar curve r = 2sintheta + 4 costheta....
Find ? as a function of ? if ?2?″+5??′−21?=?4, ?(1)=1, ?′(1)=−5.
Apply the Root Test to determine convergence or divergence, or state that the Root Test is...
Let f(x)=sin x-cos x,0≤x≤2π Find all inflation point(s) of f. Find all interval(s) on which f...
The manager of a large apartment complex knows from experience that 110 units will be occupied...
Use substitution to solve the indefinite integral. a. ∫24x^2/3+4x^6 dx b. ∫ 21dx/(7x+2)^4
1.) Suppose g(x) = x2− 3x. On the interval [0, 4], use calculus to identify x-coordinate...
Consider the function below. y=f(x)= x/x^2+x+1 Find all critical numbers of (f), if any. Find interval(s)...
MY NOTES Determine the limit of the trigonometric function (if it exists). (If an answer does...
if the sum from 1 to infinity of An converges for all n>1, does that mean...
A bakery works out a demand function for its chocolate chip cookies and finds it to...
For the demand function q equals Upper D left parenthesis x right parenthesis equals StartFraction 400...
For the demand function q equals Upper D left parenthesis p right parenthesis equals 352 minus...
A box is created by cutting squares from the corners of a 12inch by 12inch piece...
Find the curvature and radius of curvature for the curve swept out by r(t) = 4cos(t)...
Consider the function given byf(x, y) =((y^2−2^x)/(2x^2+y^2))^3.Show that lim(x,y)→(0,0)f(x, y)does not exist by computing the limit...
The range R of a projectile is shown below, where v0 is the initial velocity in...
Decide if the given value of x is a critical number for f, and if so...
The price-demand equation of a particular item is given by q = 200 − 10p where...
Find a function such that f '(x)=x+1 and f(0)=6. Then f(x)=
If the path & formed from the two straight segments from point (1,0,1) to point (2,3,1)...
Use the equation in standard form to name the surface and the principle axis that is...
A sociological study was made to examine the process by which doctors decide to adopt a...
The velocity (in feet/second) of a projectile t seconds after it is launched from a height...
The growth of the yellow nutsedge weed is describe by a formula f(t) of type y=M1+Be-Mkt....
A tank initially contains 150 gal of brine in which 60 lb of salt are dissolved....
Let fx=x2+12x-3 Find the equation of the line tangent to the graph of f(x) at x=3...
The radius of a melting snowball is decreasing at a rate of 10 centimeters per minute....
The population of a country Dnalgne is 4040 million in 2017 and increasing at a rate...
solve this : A ball is thrown into the air by a baby alien on a...
Let f be continuously differentiable function on the Reals with the following characteristics: - f(x) is...
You are planning to make an open rectangular box from a 19in by 37 -in. piece...
Consider x^2 +sin(y)=4xy^2 +1 a.)Use Implicit differentiation to find dy/dx b.) find an equation tangent of...
1. A manufacturer produces its products at two locations. Let x and y be the number...
5- A hospital buys blood pressure monitors in lots of 1000. On average, 2 out 1000...
4. When the second derivative test (SDT) is used for a critical point the result can...
A box of volume 36 m3 with square bottom and no top is constructed out of...
find the center of mass below the two planes z=4-x and z=4-2y. The answer is supposed...
DIFFERENTIAL EQUATIONS 1. A force of 400 newtons stretches a spring 2 meters. A mass of...
Solve the differential equation by variation of parameters. y'' + 3y' + 2y = 1/(4+e^x)
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