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A car moving away from an intersection of two one-way streets at a speed of 15...
For the vectors Bold u equalsleft angle 3 comma 1 right angle and Bold v equalsleft...
1. To test this series for convergence ∞∑n=1 n /√n^3+1 You could use the Limit Comparison...
y=x^3-2x^2+3x-1 what is the gradient of the normal line at x =-3 answer correct to 3...
1- Find the numerical value of each expression. (Round your answers to five decimal places.) (a) ...
A particle is moving along a circular path having a radius of 1m such that its...
Use the Washer Method and find the Volume of rotating the region between y = x2...
Find the line intersection and the angle between the planes 3x-2y+z=1 and 2x+y-3z=3.
question 01) Let Xi , i = 1 , 2 , 3 , … , 10...
Generate a formula for the derivative y = log base a of x hint: use a...
integration of (x/(2x^2-4x-7))dx. Using trig. sub.
A water trough is 6 m long and has a cross-section in the shape of an...
Evaluate the integral. pi/2 3 sin2(t) cos(t) i + 5 sin(t) cos4(t) j + 4 sin(t)...
1. Determine the equation of the parabola with focus (−3,5) and directrix y=1 2. Determine the...
(1 point) Find the simplest vector parametric expression r⃗ (t) for the line that passes through...
Consider the functionf(x)=1−2x+x2. Estimate the area between f(x) and the x-axis over the interval 0≤x≤1 by...
Consider the function f : R 2 → R defined by f(x, y) = 4 +...
If f(x, y) = 4 + x^3 + y^3 − 3xy Must f attain an absolute...
A bacterial colony initially has 800 individuals. Within an hour the population grew to 6,400 individuals....
A car moves along a straight line with velocity, in feet/second, given by v(t)=35-5t for t≥0....
The volume of a cylinder of height 9 inches and radius rr inches is given by...
Evaluate the following definite integral. Integral from negative 1 to 7 StartFraction 10 y Over y...
Integrate xsqrt(36-(x-6)^2)dx. Using trig. substitution.
10. Determine the area of the region that is inside r = 3 sin (theta) and...
Two sides of a triangle have lengths 3 and 4 ft. The angle between them is...
suppose r(x) = 50x-0.5x^2 and c(x) = 10x+3 are the total revenue and total cost functions...
Two chemicals, A and B, react to form a chemical C such that every gram of...
Newton's law of cooling/heating states that the time rate of change of temperature of a cooling/heating...
Denali Dumpsters need to manufacture a dumpster with an open top and a total volume of...
Suppose the velocity function of a particle is ?(?) = ?2 + 3? − 4 (in...
A particle moves according to a law of motion s = f(t), t ≥ 0, where...
A circular region bounded by the uh=nit circle X2 +y2= 1 is rotated about the liner...
Based on data from 1980 to 2000, the median sales price of a new one-family home...
Consider the curve y = e sin x for π /6 ≤ x ≤ π /3...
The curvature of a circle centred at the origin with radius 1/3 is
The monthly payment for a home loan is given by a function f(P,r,N)f(P,r,N) where PP is...
A baseball team plays in a stadium that holds 56000 spectators. With the ticket price at...
For the given cost function C ( x ) = 44100 + 700 x + x...
Let z = cos (- (5y2 + 2x) ). Then a) The rate of change in...
The supply curve for a commodity has the equation p = 0.4x − 2.5 , and the...
Which of the following is true about the sequence sin((npi)/2)? I.the sequence is abounded II.the sequence...
The planes z+5?+2?-3=0 and 3y+2?+2?+7=0 are not parallel, so they must intersect along a line that...
(a) Use Euler's method with each of the following step sizes to estimate the value of...
Sketch the graph and find the area of the region that lies inside r = 2cosθ...
What is the equation of the osculating plane of the curve X(t) = (sin t, cost,...
When hired at a new job selling jewelry, you are given two pay options: Option A:...
You are choosing between two different cell phone plans. The first plan charges a rate of...
The altitude (i.e., height) of a triangle is increasing at a rate of 1.5 cm/minute while...
On a particular day, the temperature in Tahoe is given by T(?, ?) = uv^2( where...
Find the domain of the function. g(x, y) = 8/x-y a.The domain is the half plane...
Rabbit population P(t) satisfying the following equation d P/ d t = kP(600-P), the initial population...
Use the method of Lagrange multipliers to show that the point on a sphere with positive...
Find the area of the overlap between two circles, both of radius 4 with one centered...
Find the derivative of the function using the definition of derivative. G(t) = 1- 3t /...
A particle moves according to a law of motion s = f(t), t ≥ 0, where...
Eliminate the parameter to find a Cartesian equation of the curve (do so without solving for...
- Suppose f is a function such that f′(x) = (x+ 1)(x−2)2(x−3), so that f has...
5. Find the open intervals on which f(x) =x^3−6x^2−36x+ 2 is increasing, as well as the...
Let σ be the portion of the surface z = 1−x^2 −y^2 that lies above the...
Mark has $100,000 to invest. His financial consultant advises him to diversify his investment in three...
1.Let R be the shaded region below enclosed by the y−axis, the line y = x−1...
What mathematical ideas are you curious to know more about as a result of studying the...
3) The base of a solid is the first quadrant region between the curve y =...
The number N of bacteria in a refrigerated food is given by N(T) = 10T2 −...
Solve the following initial value problem. y′′′ − 21y′′ + 135y′ − 243y = 0, y(0) = ...
13. Extend the sketch of the graph of f(x) = cosx + 1x in Example 4...
Use a double integral to find the area of the region in the fourth quadrant that...
Find the area enclosed by the ellipse x2144+y2256=1.x2144+y2256=1. Hint 1: Area can be found using the...
A box with a square base and closed top must have a total surface area of...
Find the place where L(t) = <4+ 3t, 3, -(2+5t)> intersects the 4x-4z = -8 plane.
The population of Pacifica was 1,000,000 people in 2010. The growth in population is given by...
at2y’’ + bty’ + cy=0 (t>0,a,b,c are all real numbers) equation obtained from substituting: A) x=log(t)...
Consider the function f(x) = x 2 − x on [−1, 1]. Find the minimum and...
There is a reservoir of 800,000 tons of water. Currently, the reservoir is said to contain...
For tax reasons, I need to create a rectangular vegetable patch with an area of exactly...
A rectangular room was designed to be built for a length of 10 feet and a...
Find the equation(s) of the tangent line(s) to the graph of the curve y = x3...
Suppose the annual revenue of a startup can be modeled by the equation R(t) = (2t)/(t...
Use a triple integral to find the volume of the given solid. The solid enclosed by...
The velocity of a particle moving along a line is a function of time given by v(t)=81/(t2+9t+18)....
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