26 Answered Questions for the topic BC calculus

26d

#### 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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Bc Calculus

06/24/20

#### Calculus Question Pls Help ASAP !!

d/dx ∫x^2,2 e^x^3 dxFind the derivative with respect to x of the integral from 2 to x squared of e raised to the x cubed power, dx.

Bc Calculus Calculus

10/14/19

#### Series Question

consider the series ∑ ln((k(k+2))/((k+1)^2)) ; lower bound is k=1 and upper is to infinity.a) compute the partial sum Sn for n=1,2,3b) find a general formula for the partial sum Snc) argue that the...
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Bc Calculus

09/21/19

#### arctan(x)-arccot(x)=(pi/4) solve for x without a calculator

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