Questions tagged 'Calculus'
92 questions
Nov 12, 2024
Find the area enclosed by the curve x = t^2 – 2t , y=sqrt(t), and the y-axis?
What is the area enclosed by the curve defined by the equations ( x = t^2 - 2t ) and ( y = \sqrt{t} ), along with the y-axis? Please provide a detailed explanation of the steps involved in finding thi...
Nov 09, 2024
Consider the following case:The Purple Lion Beverage Company expects the following cash flows from its manufacturing plant in Palau
Consider the following scenario: The Purple Lion Beverage Company anticipates the following cash flows from its manufacturing plant in Palau over the next four years: Annual Cash Flows: - Year 1: $250...
A boat leaves a dock at 2:00 PM and travels due south at a speed of….?
A boat leaves a dock at 2:00 PM and travels due south at a speed of 20 km/h. Another boat departs from the same dock at 3:00 PM, traveling due east at a speed of 15 km/h. At what time were the two boa...
Integration problem. I think i am right, please assist!?
Please let me know if I got this right. Thank you! Question: ∫ (x – 2/x^2)(x + 2/x^2) Attempt at Answer: ∫ (x – 2x^-2)(x + 2x^-2) = ∫ (x – 4x^-4) = x^3/3 – 4x^-3/-4 I used the formula (x^n + 1)/(n +...
Nov 07, 2024
A 747 jetliner lands and begins to slow to a stop as it moves along the runway. If its mass is 3.48×10^5 kg, i?
A Boeing 747 jetliner lands and begins to decelerate as it moves along the runway. Given that its mass is 3.48 × 10^5 kg, its initial speed is 25.2 m/s, and the net braking force acting on it is 4.30...
Nov 06, 2024
Determine the speed of a marble (m = 8.66 g) with a wavelength of 3.46×10-21 pm.Express your answer to 3 significant figures. v =_____ m/s?
Determine the speed of a marble with a mass of 8.66 g and a wavelength of 3.46 × 10⁻²¹ pm. Please express your answer to three significant figures. What is the value of v in meters per second (m/s)?
Nov 05, 2024
Antiderivative of Cos(3x)?
Could someone explain the rules or formulas for finding the antiderivative of functions like cos(3x) and -sin(2x)? Additionally, how would one approach the antiderivative of sin(x²)? Thank you!
Find the second Taylor polynomial T2(x) for f(x)=e^x^2 based at a=0?
I'm trying to find the second Taylor polynomial ( T_2(x) ) for the function ( f(x) = e^{x^2} ) centered at ( a = 0 ). However, I'm stuck because I calculated the first derivative, ( f'(x) = 2x e^{x^2}...
Find the limit as (x,y)->(0,0) of [cos(xy)-1] / (x^2Y^2?)?
I am trying to find the limit of the expression (\frac{\cos(xy) - 1}{x^2y^2}) as ((x,y)) approaches ((0,0)). Can anyone help me with this? Thank you!
Find the derivative of f(x) = 8×2 + 11x at x = 7.?
I need help finding the derivative of the function f(x) = 8x² + 11x at the point x = 7. The answer choices are 123, -147, 156, and 189. I have reached the expression 8h + 8x - 11. What should I do nex...