Evaluate the following integrals. Express your answer in simplest form. Using Integrals of Inverse Trigonometric functions dt1. S:49+16t2dx2. SV36-9x2dz3. S:2z/4z2-9dy4. SV81-16y?dx5. S-x/x2-646. Jcosh(1- 3х) dx7. Stanh(5x) dx8. S(csc?h (In x) dx)9. Sz dxcos?h 2xxp-10. S sech 5x tanh 5x dx

Answered: Image /qna-images/answer/5a3fe4e8-338a-45a1-b7dd-2f0456005050.jpg

dt 1. S: 49+16t2 dx 2. S V36-9x2 dz 3. S: 2z/4z2-9 dy 4. S 81-16y? dx 5. S- x/x2-64 6. ſ cosh(1 – 3x) dx 7. Stanh(5x) dx 8. SE(csc*h (In x) dx) 9. Szdx cosh 2x xp- 10. S sech 5x tanh 5x dx

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

See similar textbooks

Evaluate the following integrals. Express your answer in simplest form. Using Integrals of Inverse Trigonometric functions

dt
1. S:
49+16t2
dx
2. S
V36-9x2
dz
3. S:
2z/4z2-9
dy
4. S
V81-16y?
dx
5. S-
x/x2-64
6. Jcosh(1- 3х) dx
7. Stanh(5x) dx
8. S(csc?h (In x) dx)
9. Sz dx
cos?h 2x
xp-
10. S sech 5x tanh 5x dx

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

find the first and second derivatives w = 3z7 - 7z3 + 21z2
A particle moves on the line y = 2x + 1 in such a way that its x−coordinate changes at a constant rate of 4 units per second. A right triangle is formed by the vertical line from the particle to the x−axis, the line connecting the particle to the origin, and the x−axis. At what rate is the area of the right triangle changing when x = 4?
Differentiate implicitly to find d2y/dx2. x3-y3=12
A basketball player makes a successful shot from the free throw line. Suppose that the path of the ball from the moment of release to the moment it enters the hoop is described by y = 2.15 + 2.09x −0.41x2,0 ≤ x ≤ 4.6 where x is the horizontal distance (in meters) from the point of release, and y is the vertical distance (in meters) above the floor. Use a CAS or a scientific calculator with a numerical integration capability to approximate the distance the ball travels from the moment it is released to the moment it enters the hoop. Round your answer to two decimal places.
How do I get 2y*dx/dt + (-4xy + y' * x^2) = 0 and y' = (1/ x^2)(2xy + y - 1)?
Suppose you are climbing a hill whose shape is given by the equationz= 1000−0.01x2−0.02y2, where x, y, and z are measured in meters, and you are standing at a point with coordinates (50, 80, 847). The positive x-axis points east and the positive y-axis points north. (a) If you walk northwest, will you start to ascend or descend? At what rate? (b) In what direction is the slope largest? Why?
Find dy/dx at (-4,1) if xy=(8y/(x+2)). dy/dx at (-4,1) =?
a tank initialy holds 80 gal. of a brine solution containing 1/8 lb of salt per gallon. at t=0, another brine solution containing 1 lb of salt per gallon is poured into the tank at the rate of 4 gal/min,while the well-stirred mixture leaves the tank at the rate of 8 gal/min. find the amount of salt in the tank when the tank contains exactly 40 gal. of solution
The sum of the lengths of the two diagonals of a parallelogram is 18 m. One diagonal is 2 meters longer than the other. The area of the parallelogram is 20 square meters. If the shorter diagonal is increased by 10 cm and the longer diagonal is decreased by 15 cm, what must be the approximate increase or decrease of the acute angle (degrees) between the diagonals so that the approximate change in area will not exceed 4 square meters? Use differentials. Change in =
A brine solution of 2 pounds per liter of salt enters at 2 liters per minute and a well-stirred mixture also leaves at 2 liters per minute. (a) Determine the amount of salt in the tank at any time if the tank initially contains 80 liters of pure water. (b) Determine the time at which the solution leaving will contain 1 pound per liter of salt.
A tank with a capacity of 25 L originally contains 15 L of brine with a concentration of 5 g/L of salt. Water containing 1 g/L of salt is entering at a rate of 5 L/min, and the mixture is allowed to flow out of the tank at a rate of 4 L/min. Find the concentration (in g/L) of salt in the tank when it is on the point of overflowing.
A company needs to rent space for its office employees both in the suburbs and downtown. Space is available in suburbia at a rate of $120 per square metre (per annum), while downtown space rents for $250 per square metre (per annum). In suburbia, only 30% of the space is “executive” quality, while the rest is ordinary quality. At the downtown location, 70% of the space is executive quality, while the rest is ordinary quality. The company needs a total of at least 1000 square metres of space, of which at least 510 square metres must be executive quality. No more than three quarters of the entire space is to be at either location. They wish to know how much space they should rent in each place so as to minimize the total expenditure on rent. a) Show the decision variables b) Show the objective function c) Show the constraints in standard form (i.e. suitable for using Excel’s Solver) d) Solve the linear programming problem by graphing