Determine the Integral
Determine the integral --- (1 + theta)^2 : ------------ d(theta) --- √(theta)
Determine the integral --- (1 + theta)^2 : ------------ d(theta) --- √(theta)
Please see the attached file for the fully formatted problems. Suppose that X and Y are continuous random variables with the joint probability density function k(x+y) for 0<x<1,0<y<2 f(x,y) = 0 otherwise (a) Find k, E(X), E(Y), V(X), V(Y), and Cov(X, Y). (b) Are X and Y independent ? (c)
1. Evaluate 2) 2. Differentiate the function f(x) = ln(2x+3) 3. Find lim x∞ (e2x / (x + 5)3). Apply L'Hopital's rule as many time as necessary, verify your results after each application. 4. Evaluate ∫xsinh(x)dx See attached file for full problem description.
1.R is the region that lies between the curve y = (1 /( x2 + 4x + 5) ) and the x-axis from x = -3 to x = -1. Find: (a) the area of R, (b) the volume of the solid generated by revolving R around the y-axis. (c) the volume of the solid generated by revolving R round the x-axis. 2.Evaluate: ∫ sinh6 x cosh xdx.
Calculate, correct to the nearest hundredth, 1.5 ∫ (2.73x^2 - 8.41x + 7) dx = 0.5 1.55 1.69 2.27 2.88 3.81 7.01 9.44 12.54 26.71 none of these
Calculate, correct to the nearest hundredth, 1.5 ∫ (2.73x^2 - 8.41x + 7) dx = 0.5 1.55 1.69 2.27 2.88 3.81 7.01 9.44 12.54 26.71 none of these A jewelry floor safe with a square base is to be made
Please help with the following problem. Provide step by step calculations for each. The average value of f(x) = 1/x on the interval [4, 16] is (ln 2)/3 (ln 2)/6 (ln 2)/12 3/2 0 1 none of these Find the area, in square units, of the region b
17. Find the antiderivative of (x^2)(1 + x^3)^5 . (1 + x^2) (1 + 9x^3)^5 + C (1/18)(1 + x^3)^6 + C (1/18)x(1 + x^3)^6 + C (1/18)x2(1 + x^3)^6 + C none of these 19. intregral (6e^3/x)x^-2 dx = 2e^-3/x + C -2e^3/x + C (-1/2)e^3/x + C
Please choose the correct answer: Q#16) suppose that the price-demand equation is given by p = 9 - ln x, where 0 < x <= 200, x is in thousands, and the cost of manufacturing is $3 per item. What price will maximize profit? $2.00 $2.60 $3.00 $3.20 $4.00 $4.50
Please choose the correct answer: Q#20) True or False: if f(x) = ln(9 + x) then f '(x) = 1/(9 + x) True False Q#18. b b c c Given that ∫ x^2 dx = 5, ∫ x^5 dx = 3, ∫ x^2 dx = 7/2, and
Please choose the correct answer: Q#11) The average value of f(x) = 1/x on the interval [2, 8] is (ln 2)/3 6/5 (ln 6)/6 (ln 4)/2 0 1 none of these Q#1. Find the equation of the tangent line to y = ln x at the point where x = 2.
Please choose the correct answer: Q#16) Suppose that the price-demand equation is given by p = 9 - ln x, where 0 < x <= 200, x is in thousands, and the cost of manufacturing is $3 per item. What price will maximize profit? $2.00 $2.60 $3.00 $3.20 $4.00 $4.50
Please choose the correct answer: Q#14) Calculate, correct to the nearest hundredth, 3.75 ∫(2.73x^2 - 8.41x + 7) dx = 0.5 1.55 1.69 2.27 2.88 3.81 7.01 9.44 12.54 26.71 none of these Q#15) 3 ∫ (x -
Choose the correct answer (Please show the process) 7. ∫2/x^2/3 dx = (2/3)x^1/3 + C 6x^1/3 + C (2/3)x^2/3 + C 6x^2/3 + C none of these 8. ∫e^x(3e^x + 1)^-2/3 dx = 3(3e^x + 1)^1/3 + C (3/5)(3e^x + 1)^5/3 + C (1/4)(3e^x + 1)^4
Improper Integrals - Converge or Diverge. See attached file for full problem description.
The values of the function A'(t) are given by the following table: See attached file for full problem description. Approximate the area under the graph of A'(t) from t = 0 to t = 5 using left and right sums over five equal subintervals. Use these sums to estimate the value of the definite integral of A'(t) from 0 to 5.
Using the information about integrals of x^2 and x (between 1 and 6 and between 6 and 10), what is the value of the definite integral of (x^2 - 6x) between 1 and 10? See the attached file for more information.
Using the graph and the information given, what is the value of the definite integral of f(x) between b and 0? See the attached Word file for the picture of the graph of f(x).
Q#1) Find 6/5 ∫( x^ - 5 ---- ) dlx (Check by differentiating) X^3 Q#2) x^6 e^x - 4x ∫ -------------------- dlx X^6 Q#3) Find all antiderivatives if dl A ------ = -7t^8 - 2t^2 +2
Q#1) dA --- = -6t^9 - 6t^4 + 4 dt A= ? Q#2) The rate of growth of the population, N(t), of a newly incorporated city t years after incorporation is estimated to be dN --- 1200sqrt(t) + 400, 0 < t < 16 (less than or equal to) dt If the population was 5
Please explain the steps and solutions: Evaluate the integrals: (ln x)² a) ∫ ‾‾‾x‾‾‾ dx b) ∫ x²e^x³dx c) x³ ∫ ‾‾‾‾‾ dx 1 + x².
Please explain the steps and solutions, thanks: Use the Fundamental Theorem of Calculus to calculate the integrals: ² 3x² a) ∫ ‾‾‾‾‾‾ dx º (1 +x³) e sin(ln x) b) ∫ ‾
Stokes Theorem. See attached file for full problem description. Use Stokes Theorem to evaluate....
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x x Let F(x)= ∫ f(t) dt and G(x)= ∫ f(t) dt and f(t) > 1 for all t ≥ 0. 0 5 Is G(9)>G(5)? Explain. Can G(10) = 3? Explain.
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pi Use the fact that ∫ u²du = pi³/3 to evaluate the definite integral. º pi a) ∫ (pi x + x²)dx º ²x b) show that 2pi ≤ ∫ √1 + 3
Evaluate the definite integral using a graph of the integrand over the interval integration. 0 ∫ √9 - w²dw -3
Evaluate the definite integral using a graph of the integrand over the interval of integration 4 a) ∫ √ 2du -³ ¹ b) ∫ w dw -².
Please evaluate the integrals assuming that f is the function show on the graph on the attached document. Please explain the steps and solutions. See attached file for full problem description.