Questions tagged 'Calculus'
92 questions
Feb 11, 2025
Calculus Problem!!! Find the value of df^-1/dx at x = f(a)?
I need assistance with a calculus problem. Specifically, I want to find the value of ( \frac{df^{-1}}{dx} ) at ( x = f(a) ), where ( f(x) = x^3 - 9x^2 - 4 ) and ( x \geq 6 ). I have ( a = 3 ). I belie...
If H(θ) = θ sin θ, find H'(θ) and H”(θ)? Please help!?
I need assistance with a calculus problem. Given the function H(θ) = θ sin(θ), how can I find the first derivative H'(θ) and the second derivative H''(θ)? Thank you for your help!
Help with a question?
What is the average rate of change of the function ( f(x) = x^2 + 5x - 6 ) over the interval ([-1, 5])?
Find f. f ”(x) = x^−2, x > 0, f(1) = 0, f(8) = 0?
I am trying to find the function ( f ) given that ( f''(x) = x^{-2} ) for ( x > 0 ), with the conditions ( f(1) = 0 ) and ( f(8) = 0 ). My current solution is ( f(x) = -\ln(x) + ( \ln(8) ) x - \ln(...
C)A chain lying on the ground is 10 m long and its mass is 80 kg. How much work (in J) is required to raise on?
I need help with a calculus problem that I find challenging. A chain that is 10 meters long and has a mass of 80 kg is lying on the ground. What amount of work, measured in joules (J), is required to...
Calc. 2 question?
I'm struggling with a Calculus 2 question regarding Riemann sums. Using the graph provided, could you help me find the values of L2, R2, and M2? I calculated L2 as 2(f(0) + f(2)), R2 as 2(f(2) + f(4))...
67. What is the percentage of aluminum in aluminum oxide (Al2O3)?
What is the percentage of aluminum in aluminum oxide (Al2O3)? A. 47% B. 48% C. 53% D. 54% What is the weight of 2 moles of carbon dioxide (CO2)? A. 22.0 grams B. 44.0 grams C. 66.0 grams D. 88.0...
Find the length of the curve.r(t) = cos(6t) i + sin(6t) j + 6 ln cos t k, 0 ≤ t ≤ π/4?
What is the length of the curve defined by the vector function r(t) = cos(6t) i + sin(6t) j + 6 ln(cos t) k over the interval 0 ≤ t ≤ π/4?
CALC HELP PLEASEEvaluate ∫(0 to 3) xf(x2)dx, if f is continuous and ∫(0 to 9) f(x)dx=4.?
I would appreciate some help with a calculus problem. I need to evaluate the integral ∫(0 to 3) x f(x²) dx, given that f is a continuous function and that the integral ∫(0 to 9) f(x) dx equals 4. I re...
Find the length of the curve r(t)=cos(4t) i+ sin(4t) j + 4ln(cos(t)) k 0
I am trying to find the length of the curve defined by the parametric equation ( r(t) = \cos(4t) \, \mathbf{i} + \sin(4t) \, \mathbf{j} + 4 \ln(\cos(t)) \, \mathbf{k} ). Using the arc length formula,...