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...
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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...
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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 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...
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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...
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Calculus Differential Equations
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...
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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...
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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...
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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...
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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....
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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...
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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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