Air is pumped into a spherical balloon at a constant rate of 80 cm^3/s.

What is the rate of change of the radius and how fast does the surface of the balloon change at the instant when the radius is 15cm?Hello! I've solved this problem and I would just like to... more

02/20/21

The base of a solid is bounded by the curve , the x-axis and the line x = 1. The cross sections, taken perpendicular to the x-axis, are squares. Find the volume of the solid.

The base of a solid is bounded by the curve , the x-axis and the line x = 1. The cross sections, taken perpendicular to the x-axis, are squares. Find the volume of the solid.A.  1 B. 2 C. 2.333 D.... more

02/20/21

Find F ′(x) for F of x equals the integral from x cubed to 1 of the cosine of t raised to the 4th power, dt.

Find F ′(x) for . A. cos(1) – cos(x12) B. –3x2cos(x12) C. cos(x7) D. –cos(x12)

If a rectangle has a P of 18 inches and another rectangle is formed by doubling the width and tripling the length, which has a perimeter of 46 inches, what is the L + W of the og triangle?

Sorry, Im really confused with word problems.i had to shorten to question so L=length / W=width / and og= original / in=inches

A particle P moves in a straight line so that at t seconds, its displacement, s meters from the starting point is s = t^3 - 7t^2 + 17t.

A particle P moves in a straight line so that at t seconds, its displacement, s meters from the starting point is s = t^3 - 7t^2 + 17t. Determine the interval of the time when the particle is... more

02/17/21

Find a unit vector that has the same direction as the vector a and the opposite direction of the vector a.

Find a unit vector that has the same direction as the vector a and the opposite direction of the vector a.a = −15i + 8j(a) the same direction as the vector a _________ i + _______ j(b) the... more

02/17/21

Approximate the horizontal and vertical components of the vector that is described. (Round your answers to two decimal places.)

Approximate the horizontal and vertical components of the vector that is described. (Round your answers to two decimal places.)A quarterback releases a football with a speed of 45 ft/sec at an... more

02/17/21

using newton method find the approximate root for the following equation.

1) f(x) = x4-x-10 in [1,2] correct upto 4 decimal places.?2) f(x) = x3-3x2-55x+95 , take x0= 0 correct to 5th decimal place. ?

02/17/21

Caun yuo help me , please ? Make a list of everything you know, or can figure out, about this parabola at right. Aim for 10 - 15.

10 - 15.Make a list of everything you know, or can figure out, about this parabola at right. Aim for 10 - 15.

Find the exact values of the sine, cosine, and tangent of the angle.

-5𝜋/12sin(-5𝜋/12) = _____cos(-5𝜋/12) = _____tan(-5𝜋/12) = ______

For what value(s) of x does the graph have a horizontal tangent?

For what value(s) of x does the graph of f(x)=6x3−18x2−144x+72 have a horizontal tangent?I imputed the equation in desmos and thought that there did not exist a horizontal tangent, but I was wrong.

02/14/21

Find values of a and b so f is both continuous and differentiable

Find values of a and b so f is both continuous and differentiable.f(x)= { 8x3 - 6x2 +2  if x < -2     { ax + b  if x > and = -2

02/13/21

Finding Percentages

Brent has a diagram that he needs to place into a report. It is only 3.5" tall x 4" wide, but it needs to be about twice that big to make the impact he wants. Brent has use of a photocopy machine... more

02/13/21

How fast is the red car actually traveling along the road?

A police car is located 50 feet to the side of a straight road.A red car is driving along the road in the direction of the police car and is 120 feet up the road from the location of the police... more

02/12/21

Let f(x)=x^2 and let (a,b) be a point in the plane. Under what conditions on (a, b) do the following occur?

a. There are no tangent lines to f(x)=x^2 that pass through (a, b)b. There is exactly one tangent line to f(x)=x^2 that pass through (a, b)c. There are two tangent lines to f(x)=x^2 that pass... more

Given the following function: log₂ (x+5) - 1

Determine the characteristics for this function:Domain:Range:X-intercept:Asymptote:Increasing Interval:Decreasing Interval:Left End Behavior: Right End Behavior:

Solve the equation. Round to 4 decimal places when necessary.

(1/9)^k ⋅ 27^k+4 = (1/81)^3-k

A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant rate of 2.4 ft/s.

A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant rate of 2.4 ft/s.(a) How rapidly is the area enclosed by the ripple increasing when the radius is... more

02/11/21

statistics P(Sum of the two dice is 5 or 8) and P(Sum of the two dice is not 9 and not 6)

I need the solution to those two questions.

02/11/21

Suppose that f(x) is a differentiable function. If lim x->2 (f(x)-3)/(x-2) = 4...

Suppose that f(x) is a differentiable function. If lim x->2 (f(x)-3)/(x-2) = 4, find:F(2)f'(2)The equation of the line through (2, f(2) ) tangent to the graph y = f(x)

02/11/21

probability question

Two people are selected to serve as executives from a committee of 3 men and 3 women. In a random selection for the two executives, what is the probability that the selection results in one man and... more

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