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169 Answered Questions for the topic calc

Velocity in calculus

If a rock is thrown upward on the planet Mars with a velocity of 14 m/s, its height (in meters) after t seconds is given by H = 14t − 1(c) When will the rock hit the surface? (Round your answer to... more
Calc Math Calculus

10d

Describe the motion of a particle with position (x, y) as t varies in the given interval. x = 2 sin(t), y = 3 + cos(t), 0 ≤ t ≤ 3π/2

Describe the motion of a particle with position (x, y) as t varies in the given interval.x = 2 sin(t),    y = 3 + cos(t),    0 ≤ t ≤ 3π/2
Calc Algebra

15d

Find and simplify the expression if f(x)=x2−10.

Find and simplify the expression if f(x)=x2−10.​f(2​x) = ______ ​ (Simplify your​ answer.)

Limit laws with fractions

Evaluate the limit if it existLim ((2/t)-(2/t^2+t))t-> 0

17d

Find and simplify each of the following for ​f(x)=7x−5

Find and simplify each of the following for ​f(x)=7x−5​(A) f(x+h)​(B) f(x+h)−f(x)​(C) f(x+h)−f(x) / h​(A) f(x+h) = _________ ​(Do not​ factor.)

17d

Find and simplify the expression if f(x) = x^2−10

Find and simplify the expression if f(x) = x^2−10​f(5+​h) −​ f(5​) = _______

17d

Find and simplify the expression if f(x) = x^2 − 2

Find and simplify the expression if f(x) = x^2 − 2​f(8+​h) = ________(simplify your answer. Do not factor)

17d

Find and simplify the expression if f(x) = x^2−10.

Find and simplify the expression if f(x) = x^2−10.​f(2​x) = ______

19d

find the average rate of change of each function on the interval specified for real numbers

p(x)=3x+4 on [2,2+h] a(t)=1/t+4 on [9, 9+h] j(x)=3x^3 on [1,1+h] f(x)= 2x^2-3x on [x,x+h] I cannot find any help regarding these questions. I am not sure on the steps it takes to complete them.
Calc Math Calculus

08/07/20

Find a good numerical approximation to F(1) for the function with the properties that F'(x) = e^-((x)^2)/5 and F(0) = 4.

Find a good numerical approximation to F(1) for the function with the properties that F'(x) = e-((x)^2)/5 and F(0) = 4.(The answer is not 5.)
Calc Math Calculus

07/26/20

Please Help me Answer ASAP!! Suppose f′(x) = √(x) sin(x^2) and f(0) = 5. Estimate f(b) for:

Suppose f′(x) = √(x) sin(x2) and f(0) = 5.Estimate f(b) for: b = 0 : f(b) ≈ 5b = 1: f(b) ≈b = 2 : f(b) ≈b = 3 : f(b) ≈
Calc Math Calculus

07/26/20

Suppose f′(x) = x√sin (x^2) and f(0) = 5. Estimate f(b) for:

Suppose f′(x) = x√sin (x2) and f(0) = 5.Estimate f(b) for: b = 0 : f(b) ≈b = 1: f(b) ≈b = 2 : f(b) ≈b = 3 : f(b) ≈
Calc Math Calculus

07/26/20

Integral Help!! If f(x) is odd, find: int{x=-2 to x=2} f(x)dx =

Let ∫02 f(x) dx = 8If f(x) is odd, find:∫-22 f(x)dx =
Calc Math Calculus

07/26/20

If int{x=1 to x=3} (3f(x)+8) dx=14, then int{x=1 to x=3} f(x)dx = ?

If ∫13 (3f(x)+8) dx=14, then ∫13 f(x)dx =
Calc Math Calculus

07/23/20

Find the area under y=2sin(x) and above y=2cos(x) for π≤x≤2π. (Note that this area may not be defined over the entire interval.)

Find the area under y=2sin(x) and above y=2cos(x) for π≤x≤2π. Note that this area may not be defined over the entire interval.area =(I am struggling to find the answer for where the portion of the... more
Calc Math Calculus

07/21/20

Find the area under y=2sin(x) and above y=2cos(x) for π≤x≤2π. (Note that this area may not be defined over the entire interval.) area = -4

Find the area under y=2sin(x) and above y=2cos(x) for π≤x≤2π. (Note that this area may not be defined over the entire interval.) area = (The answer is NOT 4 or -4 -- the two answers I keep getting... more
Calc Math Calculus

07/09/20

Please help me answer ASAP!! Find the rate at which water is pumped in cubic centimeters per minute.

Water is leaking out of an inverted conical tank at a rate of 8300.0 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 15.0... more
Calc Math Calculus

07/07/20

Find the rate at which water is being pumped into the tank in cubic centimeters per minute.

Water is leaking out of an inverted conical tank at a rate of 8300.0 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 15.0... more
Calc Math Calculus

07/03/20

A rectangle has one side on the x-axis and two vertices on the curve y = 3 / (4 + x2). Find the vertices of the rectangle with maximum area.

A rectangle has one side on the x-axis and two vertices on the curvey = 3 / (4 + x2)Find the vertices of the rectangle with maximum area.Vertices =
Calc Math Calculus

07/03/20

An electric current, I, in amps, is given by I = cos(wt) + √5 sin(wt) where w does not equal zero is a constant. What are the maximum and minimum values of I?

An electric current, I, in amps, is given byI = cos(wt) + √5 sin(wt)where w does not equal zero is a constant. What are the maximum and minimum values of I?Minimum value of I: Maximum value of I:(I... more
Calc Math Calculus

06/30/20

There are 150000 people in the population who hear the rumor eventually. 9 percent of them heard it on the first day. Find k , assuming t is measured in days.

The number, N , of people who have heard a rumor spread by mass media at time, t , is given byN(t) = a(1 - e -kt)There are 150000 people in the population who hear the rumor eventually. 9 percent... more
Calc Math Calculus

06/29/20

Find the equation of a quartic polynomial whose graph is symmetric about the y-axis and has local maxima at (-3,1) and (3,1) and a y-intercept of -1.

Find the equation of a quartic polynomial whose graph is symmetric about the y-axis and has local maxima at (-3,1) and (3,1) and a y-intercept of -1.y =
Calc Math Calculus

06/25/20

Now assume that the table gives values of the continuous function y=f′(x) (instead of f(x)). Estimate and classify critical points of the function f(x).

The following table gives values of the differentiable function . x 0 1 2 3 4 5 6 7 8 9 10 y -1 -3 -5 -2 1 2 -1 -2 1 2 5 Now assume that the table gives values of the continuous... more
Calc Calculus

06/23/20

Find the function f given that the slope of the tangent line

Find the function f given that the slope of the tangent line at any point (x, f(x)) is f '(x) and that the graph of f passes through the given point. f '(x) = 1 − 2x/x2 + 1  (0, 6)
1 3 4 5 6 7

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