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Calculus Questions
Use Lagrange multipliers to find the maximum and minimum values (if they exist) of the temperature...
Find the length of the curve x = 3t^(2), y = 2t^(3) , 0 ≤ t...
2 If w =exp(x2y) and x = sin(11t) and y = 21cos(-33t), find δw/δt in two...
. Find the volume of the solid bounded by the cylinder x 2 + y 2...
Find the slope of the tangent line to the given polar curve at the point specified...
Use the method of Lagrange Multipliers to find the maximum value: f(x,y,z) = x2y2z2 subject to...
Mandy is driving her car east at a constant speed of 65 mi/h. Paul is driving...
Calculate each limit below, if it exists. If a limit does not exist, explain why. Show...
Let f (x, y) = (x − 9) ln(xy). (a) Find the the critical point (a, ...
Explain the integration technique "u-substitution". When is it appropriate to use u-substitution, as opposed to other...
(1 point) All parts of this problem refer to the function below. ?=(9+8?)^4/? a) Use logarithmic...
Find the indefinite integral. (Use C for the constant of integration.) x ln(3x) dx
ASAP A company plans to manufacture a rectangular container with a square base, an open top,...
Find the derivative of the functionf(x) =sin(sin(cos(sin(x))))by repeatedlyapplying the chain rule.
A rectangular box with a square base has a volume of 4 cubic feet. The material...
f(x) = 10/cos-1(x). Use calculus to determine: a) all critical values b) any local extrema c)...
Determine the point on the surface y^(2) = 9 + xz which is closest to the...
What is the area of the largest rectangle whose perimeter is 104 feet?
)A Norman window has the shape of a semicircle atop a rectangle so that the diameter...
A cylinder is inscribed in a right circular cone of height 2.5 and radius (at the...
A rectangular storage container with an open top is to have a volume of 30 cubic...
Use calculus to find the area A of the triangle with the given vertices. (0, 0), (4,...
A particle is moving with the given data. Find the position of the particle. a(t) =...
Use the RATIO test to determine whether the series is convergent or divergent. a) sigma from...
The supply and demand for a product are related to price by the following equations, where...
What are the dimensions of the rectangular field of 20,000 sq ft that will minimize the...
For what values of c is there a straight line that intersects the curve y =...
Letr(t)=(4t2+1)i+2tjfor−2≤t≤2. (a) (10 pts) Draw a sketch of the curve C determined by r(t). (b) (5...
Find the tangent plane to the given surface of f(x,y)=6- 6/5 x-y at the point (5,...
A rectangular flower garden with an area of 110m^2 is surrounded by a grass border 1...
In discussions of the spread of the coronavirus there is often mention of flattening the curve....
Please answer all question explain. thank you. (1)Consider the region bounded by y= 5- x^2 and...
Let f(x) be a twice differentiable function (i.e. its first and second derivatives exist at all...
A manufacturer of hospital supplies has a uniform annual demand for 500,000 boxes of bandages. It...
A pencil cup with a capacity of 20 in.3 is to be constructed in the shape...
find the surface area of the object obtained by rotating y=4-x, 1 ≤ x ≤ 6
Application of Simpson's and Trapezoid approximations a)Find T6 and S6 with the correct first six decimal...
for my high school, I need to know how to Express the area enclosed by the...
1. The distance, in meters, traveled by a moving particle in t seconds is given by...
2. 300 dollars is deposited every quarter for seven years. Interest is 4% per year compounded...
An evergreen nursery usually sells a certain shrub after 5 years of growth and shaping. The...
Grade B: You are submitting a response to this question to earn a maximum grade of...
When a wholesaler sold a product at $30 per unit, sales were 390 units per week....
A particle moves according to a law of motion , , where is measured in seconds...
. Find the absolute max and min of the following function f(x, y) = x^2 +...
Use Calculus to find the open intervals on [0, 2PI ) for which the function f(x)...
1. Suppose that ?(?) is differentiable on the interval [1,6] and that ?(1)=1 and ?(6)=6. a....
Find an equation for the plane that (a) is perpendicular to v=(1,1,1)v=(1,1,1) and passes through (1,0,0).(1,0,0)....
Evaluate the integral ∬ ????, where ? is the square with vertices (0,0),(1,1), (2,0), and (1,−1),...
PLEASE SHOW WORK FOR ALL :) 1) Given the vectors a = <17,-5,6>, b = <1,0,4>,...
Consider the function f(x,y) = tan((x−3y)/2)/(x + y) and the region bounded by y = x,...
expand in Maclaurin's series the function f (x) = 1 / (1-x)^2. from the definition and...
a) find the derivative of xcos(x^2) using any method. b) find the derivative of f(x) =...
calculate the following limit lim--> 0+ (√24x+9 - √6x+4)^1/x
Find the normal equation to the curve x ^ 3 + 2y ^ 3 = 2xy...
A company's revenue from selling x units of an item is given as R=1600x−3x^2. If sales...
Studies have shown that the number of accidents a driver has varies with the age of...
The theater department wants to determine what price to charge for tickets to its next run...
If 1600 square centimeters of material is available to make a box with a square base...
Suppose f(x) = (e2x + 5x − 1)4 measures the position of an object at time...
Find (without using a calculator) the absolute extreme values of the function on the given interval....
Solve the differential equation. xy + y' = 76x
If a and b are positive numbers, find the maximum value of f(x)=xa(5−x)b on the interval...
find the values of a,b and c for the quadratic polynomial f(x)= ax2+bx+c which best fits...
maclaurin series 4th root 256-13x using binomial series
use newtons method to find all roots of the equation correct to six decimal places. Enter...
A tank contains 1000 L of pure water. Brine that contains 0.05 kg of salt per...
What semiannually compounded rate and effective rate of interest are being charged on a $12,000 loan...
Find a particular solution of the given differential equation. Use a CAS as an aid in...
find dx/dx and dz/dy z^3 y^4 - x^2 cos(2y-4z)=4z
The table shows speedometer readings at 10-second intervals during a 1-minute period for a car racing...
#3 Determine the form of a particular solution of equations (do not solve equation): a) y’’...
1 point) Find ∫C((x2+5y)i⃗ +2y3j⃗ )⋅dr⃗ where C consists of the three line segments from (1,0,0)...
The demand for a particular item is given by the demand function 1. D(x)=200−x^2 Find the...
The demand function for a certain product is p = 3000, where q is the quantity...
Locate ∫∫R(2x+5y)dA where R is the parallelogram with vertices (0,0), (5,2), (4,-4), & (9,-2). Use the...
Consider the function f(x)= squareroot of (3x) 1) find the linear approximation to the function f...
. Let f(x) = 3x^5/5 −2x^4+1. Find the following: (a) Interval of increasing: (b) Interval of...
Determine the location and value of the absolute extreme values of f on the given interval,...
Find a unit tangent vector to the curve r = 3 cos 3t i + 3...
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