54 Answered Questions for the topic BC calculus
Calculus question related to series please help asap!
f(x) = summation from n equals 1 to infinity of the product of the quotient of the quantity n plus 1 and 4 to the n plus 1 power and x to the nth power with an interval of convergence, –4 < x...
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Calculus series question please help asap!!!!!!!!!!
What is the maximum possible error generated in using the 5th degree Maclaurin polynomial for sin(x) for x in the interval [−0.3, 0.3]?a). The absolute value of 0.3 raised to the 7th power over 6...
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Calculus question related to vectors need help!
Part of a cross-country skier's path can be described with the vector function r = <2 + 6t + 2 cos(t), (15 − t)(1 − sin(t))> for 0 ≤ t ≤ 15 minutes, with x and y measured in meters. The...
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04/12/21
I need some help with math
For 0 ≤ t ≤ 12 , a roller coaster car has position (x(t),y(t)) with velocity vector ⟨10, −tsin(πt/4)⟩ , where x(t) and y(t) are measured in meters and t is measured in seconds. At time ...
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03/29/21
Hi, I need help with math
What is the slope of the line tangent to the polar curve r=4θ^2 at the point where θ=pi/4a) pi/2b) pi^2/4c) 8+pi/8-pid) something else?
03/28/21
Please help with math question
A curve is defined by parametric functions x(t) and y(t), where dx/dt = 3t^2 and dy/dt = t^7-2t^4. For what positive value of t is d^2y/dx^2 = 1?a) 1.202b) 1.149c) 1.079d) 1.525
Bc Calculus
03/10/21
integrate (x^2+2cosx+3)^1/2
Bc Calculus
02/28/21
Let f(x)=x^2 and g(x)=4x-x^2. If R is the region bounded by f(x) and g(x), find the volumes of the solids generated when R is rotated about the line y=-2 and about the line x=-2.
02/16/21
Need help with math ASAP
Let f be the function defined by f(x)=4/(x^2).----------------------------------Approximate the value of 12(upper limit)∫1(lower limit) f(x) dx using a left Riemann sum with the...
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Bc Calculus
02/12/21
The equation of the curve whose slope at point (x, y) is x^2-2 and which contains the point (1 -3) is
A) y= 1/3x^3-2xB) y=2x-1C) y= 1/3x^3-10/3D) y=1/3x^3-2x-4/3E) 3y= x^3-10
Bc Calculus
02/09/21
Find the volume of the solid formed by revolving the region bounded by the graphs of y=x^3+x+1, y=1, and x=1 about the line x=2.
01/29/21
I need help with integrals
Let f be the function given by f(x)=sin^2(x/4)e^(−x2). It is known that (top value= π/2)∫(bottom value=0) f(x) dx= 0.0223. If a midpoint Riemann sum with two intervals of equal length is used to...
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01/29/21
need help with math
x | 2 | 4 | 6 | 7 | 11-----------------------------------------------------------------------------------f(x) | 0.7 | 1.1 | 1.9 | 2.5 | 5.3The continuous function f is known to be...
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help needed with calculus question
The graph of the continuous function g is shown above for −3≤x≤5 . The function g is twice differentiable except at x=1Graph:http://prnt.sc/wdcalqLet f be the function with f(1)=3 and...
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I need help with tangent lines
Given the equation of a curve: x^3/3+y^2/2−3x+2y=−1/6.does the line tangent to the curve at the point (1,1) have a slope of 2/3?Thanks
How can I solve this?
Consider the curve defined by y^2=x^3−3x+3 for x>0. At what value of x does the curve have a horizontal tangent?a) √3 / 3b) 1c) √3d) There is no such valueThank you
I don't understand this...................
The total cost, in dollars, to order x units of a certain product is modeled by C(x)=7x^2+252. According to the model, for what size order is the cost per unit a minimum?A. An order of 1 unit has a...
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please help with math
A curve in the xy-plane is defined by the equation x^3/3+y^2/2−3x+2y=−1/6. Which of the following statements are true?i. At points where x=√3, the lines tangent to the curve are horizontal.ii. At...
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Bc Calculus
12/10/20
The fixed sides of an isosceles triangle are of length 6 cm. If the sides slide outward at a speed of 1 cm/min, at what rate is the area enclosed by the triangle changing when θ = 30°?
Question: The fixed sides of an isosceles triangle are of length 6 cm. If the sides slide outward at a speed of1 cm/min, at what rate is the area enclosed by the triangle changing when θ = 30
really need help with derivatives
Particle P moves along the x-axis so that its position at time t>0 is given by xP(t)= (e^(2−t)−2t) / (e^(2−t)+3t). A second particle, particle Q , also moves along the x -axis so that its...
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looking for help with derivatives
Particle P moves along the x-axis so that its position at time t>0 is given by xP(t)= (e^(2−t)−2t) / (e^(2−t)+3t). A second particle, particle Q , also moves along the x -axis so that its...
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Need help with limits and derivatives
{(32/5)+2/5cos(πt/4) for 0 ≤ t ≤ 4W(t) = {6+(1/8)(t−4)^2 for 4 < t ≤ 9----------------------------------------------------------------------The...
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Please help with calculus problem
For time 0≤t≤8, people arrive at a venue for an outdoor concert at a rate modeled by the function A defined by A(t) = 0.3sin(1.9t) + 0.3cos(0.6t) + 1.3. For time 0 ≤ t ≤ 1, no one leaves the venue,...
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Help with math please
If g(x)=2ln(x+1) and f is a differentiable function of x, what is equivalent to the derivative of f(g(x)) with respect to x?let f be a differentiable function. if h(x) = (2+f(sinx))^3, what's a...
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Help me with math please
The graph of the equation y^4=y^2-x^2 is given.a) verify that dy/dx = (2x)/(2y-(4y^3)). Show why.b) Find the point(s) (x,y) at which the graph has a horizontal tangent line. Show why/work.c) Find...
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