Please see attached file for full problem description. 7. Figure 5.4 shows the velocity, v, of an object (in meters/sec). Estimate the total distance the object traveled between t = 0 and t = 6. We can estimate this using 1 second intervals. Since the velocity is increasing on the interval from t = 0 to t = 6, the lo
Please see attached file for full problem description. 1) Consider the region bounded by the graph of the line x = 3, the x-axis, and the y-axis. Find the value of k to three decimal places such that the line x = k divides the region into two parts of equal area. (Fill in the blank and show the work) 2) Find the smallest
Please see the attached file for the fully formatted problems.
Solve the following integrals: 1. Int (x^2 + 6x - 5)dx 2. Int (1/x + 1/x^2)dx 3. Int 6 [square root]xdx
Let I be the set of all integers and let m be a fixed positive integer. Two integers a and b are said to be congruent modulo m-symbolized by a is congruent to b (mod m) - if a - b is exactly divisible by m, i.e., if a - b is an integral multiple of m. Show that this is an equivalence relation , describe the equivalence set, and state the number of distinct equivalence sets.
Topology Sets and Functions (XLVII) Functions Let I be the set of all integers and let m be a fixed positive integer. Two integers a and b are said to be congruent modulo m-symbolized by
A) Make use of the polar coordinates to evaluate ∫∫R√x2 + y2 dR; where R is the region bounded by the semicircle y = √2x - x2 and the line y = x. b) Evaluate the surface integral ∫∫S x2 dS, where S is the upper half of the sphere x2 + y2 + z2 = 4.
What is the integral of x ln x dx? ∫xlnx dx
What is the area between f(x) = x^3 - 4x and the x-axis for the interval x = -2 to x = 2?
Differential Equations. From Linear Differential Equations. Please solve for only #10. See attached file for full problem description.
Find the area of the region bounded by x=y^2 and x=y+2, with respect to the x axis.
Integration by substitution. See attached file for full problem description.
Use the double-angle formula cos2x=2cos^2x-1 to evaluate the integral integral (1/1+cos2x)dx
Evaluate the integral ( 1/1+sinx) dx by multiplying the numerator and the denominator by an appropriate expression.
Integrate (sec x+cosx/2cosx)dx Make sure to show all of the steps involved so that this could be followed easily by a student.
Please answer the following questions, showing all work that is required: Integrate theta +2/sin^2(theta) d(theta)
Integrate dy/cscy. Please show all steps necessary. Thank you for your time!
Y = tan^4 x keywords: derivatives
Determine the integral --- (1 + theta)^2 : ------------ d(theta) --- √(theta)
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
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 bounded by the the x axis and the function y = 16 - x^2. 32/3 3
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. ∫ (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
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#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 W
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^
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.