25,270 Answered Questions for the topic calculus

Calculus

09/29/23

Calculus Question

A boat is pulled into a dock by means of a rope attached to a pulley on the dock. The rope is attached to the front of the boat, which is 5 feet below the level of the pulley.If the rope is pulled... more
Calculus

09/29/23

Calculus Question

The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the triangle is increasing at a rate of 4.5 square centimeters/minute. At what rate is the base of the... more
Calculus

09/29/23

Calculus Question

Two cars start moving from the same point. one travels south at 30 mi/h and the other travels west at 70 mi/h. At what rate is the distance between the cars increasing 4 hours later?
Calculus

09/29/23

Calculus Question

If  y=x^3+4x   and  dx/dt=7.   Find  dy/dt when   x=5.
Calculus

09/29/23

Calculus Question

If  z^2=x^2+y^2,dx/dt=8,  and  dy/dt=5,  find  dz/dt  when  x=5  and  y=2
Calculus

09/29/23

Calculus Question

If a snowball melts so that its surface area decreases at a rate of 0.3cm^2/min, find the rate at which the diameter decreases when the diameter is 13cm. 
Calculus

09/29/23

Calculus Question

A street light is mounted at the top of a 15 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a straight path. How fast is the tip of her shadow moving when... more
Calculus

09/29/23

Calculus question

Each side of a square is increasing at a rate of 5 cm/s. At what rate is the area of the square increasing when the area of the square is 81cm^2.
Calculus

09/29/23

Please help with this problem

Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spill increases at a constant rate of 2.5 m/s. How fast is the area of the spill increasing... more

09/29/23

Differential Calculus

Differentiate f(x)=-x3 - 2x2+1a. f'(x)=-3x2 - 2xb. f ' (x)= -3x2 - 4xc. f ' (x)= -2x2 - 4d. f'(x)=-3x2 + 2xe. f'(x)=3x2 - 2xIs there a way to do this on the ti-84 calculator? is so provide that... more
Calculus

09/29/23

calculus question

Let h(x) = 4g(x) 7 + f (x) . Suppose that f (2) = −4, f '(2) = 1, g(2) = −3, and g'(2) = 4. Find h'(2).
Calculus

09/29/23

How do I send picture of assignments to the Tito before our meeting

How do I send pictures of assignment to the tutor prior to meeting
Calculus

09/28/23

Select all true statements regarding limits at infinity.

Select all true statements regarding limits at infinity. Iim x--> -∞ ex = 0 If lim x --> ∞ f(x) = 9, then a vertical asymptote exists at y = 9 Iim x--> -∞ en = 0, where n is a positive... more
Calculus

09/28/23

Let f(x) = e^x-1 + 5ln(x) +3x. You may assume f(x) is one-to-one. What is f^-1(4)?

Let f(x) = ex-1 + 5ln(x) +3x. You may assume f(x) is one-to-one.What is f-1(4)?f-1(4)= ?
Calculus

09/28/23

The population of Integraton (in millions) at time t (in years) is P(t) = 3.5e0.07t, where t = 0 is the year 2000.

The population of Integraton (in millions) at time t (in years) is P(t) = 3.5e0.07t, where t = 0 is the year 2000.What is the population at time t = 0?P(0) = ? millionWhen will the population... more
Calculus Physics

09/28/23

Ap Physics 1 help with stacked graphs , Constant Acceleration model

While cruising along a dark stretch of highway with the cruise control set at 25 m/s (≈55 mph), you see, at the fringes of your headlights, that a bridge has been washed out. It takes 0.50 s from... more
Calculus

09/28/23

Suppose that  𝐴=ln𝑥  ,  𝐵=ln𝑦  and  𝐶=ln𝑧 .

Suppose that  𝐴=ln𝑥  ,  𝐵=ln𝑦  and  𝐶=ln𝑧 .Write ln(𝑦^3⋅√𝑥/𝑧^2⋅𝑒^4) in terms of  𝐴,  𝐵  and  𝐶  .    Show your work.Your answer should not include any logarithms.
Calculus

09/28/23

AP Calculus BC - Chain Rule

If f(3) = 4, g(3) = 2, f'(3) = -5, g'(3) = 6, find the following:a. (f + g)'(3) b. (f∘g2)'(3) --> (function composition)
Calculus Precalculus

09/27/23

Find dy/dx or y' by implicit differentiation. Write the solution of each answers

Find dy/dx or y' by implicit differentiation. Write the solution of each answers1. x³y³ = 3xyAnswer: (y-x²y³)/(x³y²-x)2. xy²+2y³+3xy =2x²+y³ +3y²Answer: (4x-y²-3y)/(2xy+3y²+3x-6y)

09/27/23

Short Answer Question Show work please

Billy walks around a square city block. On the first side his speed is 1 mph, on the second side his speed is 2 mph, on the third side his speed is 3 mph, and on the fourth side his speed is 4 mph.... more
Calculus

09/27/23

Differentiation Rules (Product)

For the following exercises, assume that f(x) and g(x) are both differentiable functions with values as given in the following table. Use the following table to calculate the following... more
Calculus Precalculus

09/27/23

Sketch the graph of the following function and determine its domain and range.

1. f(x)= x² - 81/ x+92. f(x)=√9-x²3. f(x) = {x² -1 if x<3 at x= 3 {x+5 3≥x
Calculus Precalculus

09/27/23

Find dy/dx or y' by implicit differentiation. Write the solution of each answers

1. x³y³ = 3xyAnswer: (y-x²y³)/(x³y²-x)2. x²+2y³+3xy =2x²+y³ +3y²Answer: (4x-y²-3y)/(2xy+3y²+3x-6y)
Calculus Precalculus

09/27/23

Determine the first and second derivative given the following functions. write the solution of each answers

1. y= 1/xAnswer: -1/x² , 2/x³2. y = 1/x (x² - 3x)²Answer: 3x²-12x+9, 6x-12
Calculus Precalculus

09/27/23

Differentiate the following function by applying the theorems. Write the solution of this answers

1. f(x)=(2 - x³)(-10x + 5)Answer: 40x³ -15x² -202. y= (x³-2x)/(x²+1)Answer: x⁴ + 5x² -2/(x²+1)²3. y = (5/x - 1)³Answer: - 375/(x-1)⁴4. If f(x)=4x² and g(x)=3x² +1find (f o g)(x)Answer: 48x(3x²+1)

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