04/15/24

Find the velocity and position vectors of a particle that has the given acceleration and the given initial velocity and position.
a(t) = (6t + et) i + 12t2 j,    v(0) = 3i,    r(0) = 3 i − 7 j
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04/15/24

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 4,2,1,....
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04/14/24

Question about a HW problem. The Problem is in the description.
a baseball team plays in a stadium that holds 55000 spectators. when the ticket price is $10.00, the average attendance is 27,000. Reaseach has shown that on average, when the ticket price goes... more
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04/14/24

Calculus homework question

Compute the Taylor polynomial of degree 2 about 1 for function f(x) = sin(2x).
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04/14/24

Reduction of a complex number
How can I reduce the expression i127 to the lowest positive power of i?
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04/13/24

What are the dimensions of the sheet that give the greatest volume of the cylinder
A rectangular sheet of paper with perimeter 36 cm is to be rolled into a cylinder. What are the dimensions of the sheet that give the greatest volume of the cylinder? (Note: The volume of a... more
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04/13/24

equation on the interval
Solve the equation on the interval 0 less than or equals theta less than 2 pi0≤θ<2π.sine left parenthesis 3 theta right parenthesis equals negative 1sin(3θ)=−1Question content area bottomPart... more
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04/13/24

Calculus III question
Find an equation of the plane. the plane that passes through the point (2, 4, −1) and contains the line x = 4 − t, y = 2t − 1, z = −3t  
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04/12/24

Dimension range rank theorem
Let F: R3 → R3 be a linear transformation defined by: F([ 1 0 0 ]) = [ 3 1 0 ] ,F([ 1 1 0 ]) = [ a 1 1 ] ,F([ 0 0 1 ]) = [ 0 0 1 ],where a∈R. (a) Find the values of F on all standard basis vectors... more
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04/12/24

Polynomial taylor

Suppose P2(x)= A+Bx+C(x^2) is the second-degree Taylor polynomial for the function f(x) about x=0 shown in the figure below. Fill in the information below about the coefficients (A,B,C) of p2(x),... more
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04/11/24

Evaluate Intergral from -inf to -4 of (1/((x+1)^2(x+2))
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04/11/24

find all exact solutions on [0, 2pi)

2sin(2t)+3sint=0
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04/11/24

Expression of single logarithm
How can I express the following as a single logarithm:3ln(x) - 2ln(x-1) + ln (x+1)^1/3
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04/10/24

series question!
∑(n=1,∞)arctan(n+1)-arctan(n+2)
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04/10/24

Inequality and Interval Notation
How can I solve the following inequality:-2(m-3)<5(m+1)-12and how do I give both the inequality and interval notation forms of the solution?
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04/10/24

Express as a product: 1 - 4sin^2(a)
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04/09/24

Area covers 4000km2 but decreasing by 6.75 each year. What will it be in 9 years
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04/09/24

Please help with Polynomial function with remainder
If f(x) = x4 + 5x3 + ax + b, where a and b are constants, and the remainder when f(x) is divided by (x-2) is equal to the remainder when f(x) is divided by (x+1)a) How can I find the value of a.b)... more
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04/08/24

Finding a Riemann Sum
Find the Riemann Sum for f(x)=x^2 +3x over the interval [0,8] wherex0=0 x1=1 x2=3 x3=7 x4=8and c1=1 c2=2 c3=5 c4=8
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04/06/24

Consider the following function.
f(x) = (3 − x)e−xa) Find the intervals of increase or decrease. (Enter your answers using interval notation.) increasing       decreasing   (b) Find the intervals of concavity. (Enter your... more
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04/06/24

Consider the function below.
f(x) = x√x + 6(a) What is the domain of the function? (Enter your answer using interval notation.)(b) Find the interval(s) where the function is increasing. (Enter your answer using interval... more
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04/06/24

For the function below, determine each of the following. g(x) = 5x^4 + 20x^3 + 13
(a) Find the critical values of g(x). (Enter your answers as a comma-separated list.) x =   (b) Find the intervals on which g(x) is increasing and the intervals on which g(x) is decreasing.... more
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04/06/24

Suppose f '' is continuous on (−∞, ∞).
(b) If f '(−4) = 0 and f ''(−4) = 0, what can you say about f ?a. At x = −4, f has a local maximum.b. At x = −4, f has a local minimum. c.   At x = −4, f has neither a maximum nor a minimum.d. More... more
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04/05/24

select the simplified form of this expression
(2y^-3)^-5
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04/05/24

Tell the center and verticles of the ellipse for this equation
x^2/25+y^2/16=1
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