21 Answered Questions for the topic AB calculus

16d

#### 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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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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#### 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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04/01/20

#### Calc AB Need help. Separable Equations and solving.

Consider the following.y(5 + x) dx + x dy = 0Determine whether the differential equation is separable.I put separableIf the equation is separable, rewrite it in the form N(y) dy = M(x) dx. (If it...
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Ab Calculus

10/21/19

#### What is the instantaneous rate of change of g with respect to x at x=π/3?

g(x)=lim (sin(x+h)−sin(x))/h h→0

03/11/19

#### A table of values for a continuous function f is shown below.

If four subintervals are used, which of the following is the right sum approximation of ∫ fxdx (x=0 to x=2)?x: 0 0.5 1.0 1.5 2.0y: 4 6 8 12 22A) 6B) 12C) 24D) 48E) 60

08/28/17

#### A rational function g(x) is such that g(x) = f(x) wherever f(x) is defined. Find the value of a and b.

f(x) = (2x-2)/ x2+x-2
g(x) = a/ b+x

#### Is there a number to "a" such that the limit exists? If so, find the value of "a" and find the limit. If not, explain why.

Find the limit as "x" approaches 3
F(x)= (2x2-3ax+x-a-1)/ x2-2x-3
**I already know that if you substitute in 3 for x, the denominator will be 0 and therefore it cannot exist. I'm wondering if...
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