dx Using trig sub, find - By the rules, Vu2 + a² x/(x³)²+1 can be used where u=a tan0. What should be the u? Should it be x, x³, or what? What would also be the du? Please explain and find the integ by trig sub.

Q: (y+2xy")dx +xdy = 0

A: First order differential equation :           Consider the differential equation                   d...

Q: Plot the graph: y=- cot(x) ; [-x<x < ]

A:

Q: dy Find of the function given implicitly: 2xy + 8e = 8e. Evaluate the second derivative at the point...

A:

Q: sin(Tx lim x + 12 In(x – 11) - (Use calculator and write your final answer in the given box)

A:

Q: 5. DETAILS LARAPCALC10 2.3.028. Find the marginal profit for producing x units. (The profit is measu...

A: The objective is to find marginal profit for producing x units .

Q: True or false? The function f(x, y) is continuous at x2 + y? the origin. True O False

A:

Q: y - 3y + 2y = 3e + 2e2 %3D

A: Given: -The ordinary differential equation is, y''-3y'+2y=3ex+2e2x To find: -The solution of the giv...

Q: Given: sin A= { and A is in the second quadrant; evaluate the following expression. cos 20 = %3D -7/...

A: cos2θ = 1-2sin2θ

Q: What is the second derivative of f(x)=x^2lnx

A:

Q: O XsinCyldx +(x^t)cos(y) dy=0

A:

Q: The figure to the right shows d 1 - sin x and y 4 1 sin x + 4° || 1 sin x? Find values 4 Which graph...

A:

Q: Write the equation of a conic given by x2 – 9y2 + 2x- 54y-80=0 in standard form. (x+ 1)² (y+3)? 162 ...

A: The objective is to write the equation of conic in standard form. 

Q: For the polynomial below, 2 is a zero. f(x) = x + 2x - 7x - 2 Express f (x) as a product of linear f...

A:

Q: Find the equation of the tangent line to the graph of f(x) = 3x²e*-1 – 1, at ¤ = 1.

A:

Q: 1.) Find dy/dx. Given: x2 +y? = 25 2.) Find dy/dx. Given: x? + y = x³ +y? 3.) Find dy/dx. Given: x +...

A:

Q: 8. Find the limit, if it exists, or show that it does not exist: 2х-у a) lim (x,y)→(1,2) 4x²-y2 ху+у...

A:

Q: sec x dx Vcot x 2.

A:

Q: 1. Complete the given 2 sets of tables of values to investigate the limits of a function. lim a? – 5...

A:

Q: Simplify sin e cos e tan e 1 tan?0 sececote

A:

Q: Evaluate the integral using trigonometric substitution. 1 dx xV1 + x6

A: NOTE: Refresh your page if you can't see any equations. . ...............(1)

Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. an = 51/n (Use s...

A:

Q: (2æ + 3) = y+ y (2x + 3)i

A:

Q: Acceleration of a Car The distance s (in feet) covered by a car t seconds after starting is given by...

A:

Q: In the previous step we determined that [(t - 2)°] = 35t°(t' – 2)4. Use this to complete the derivat...

A: Given query is to find the derivative of the expression.

Q: [5] 0 v2 = 9 v1 2 V3 4 -81

A: The given vectors are ; v1=5 , v2=7 , v3=9       0.       2.         4       0.        -6.       -8.

Q: integrate [7x ^ (- 2/3) + (x + 2) ^ 2] dx

A:

Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

A:

Q: I'y" The expression log| z18 can be written in the form A log(x) + Blog(y) + C log(z) where A = B = ...

A: We can find the answer i.e the value of  A, B &amp; c  as below.

Q: =sec (Xty)

A:

Q: What are the roots of the auxiliary equation corresponding to the DE 6y"+11y"-y'-6=0? Write the gene...

A:

Q: di x-x(t)defined implicik ly by 62X6 12+62VXIn(t)-eE. Also evaluate dx (tx)s(4,4).

A: Given: -x=x(t)  defined implicitly by The equation is, 62+62xln(t)=e62xt To find: - The differentiat...

Q: 5. csc 4x dx

A:

Q: Find the dimensions of the given matrix. 16 -16 D = -9 ; d31 7 50 16 Identify the given entry. d31

A:

Q: Find the derivative of the following functions using the long method (limits) (a) x =t-5t- 3 (b) y =...

A:

Q: Consider the graph of the function y = 4 - 5". Find the equation of the line tangent to the graph of...

A:

Q: For the next five questions, consider the following differential equation: (y? + xy) dx + (5y² – xy ...

A: According to Bartleby guidelines I can only answer the first three sub-questions of the given proble...

Q: sec x dx 2. Vcot x

A:

Q: we might learn in a physics class that the air pressure can be found as a function of altitude h fee...

A:

Q: 9) lim メフ16 ス- 16 4-ra

A:

Q: Evaluate the integral using trigonometric substitution. 1 dx xV1 + x6

A:

Q: Find the greatest volume that a right circular cylinder can have if it is inscribed in a sphere of r...

A: Here we have to find the greatest volume that a right circular cylinder can have if it is inscribed ...

Q: 3 т2 dm )2 т3-2

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute ...........

Q: (y+ /x²ty? )dx- X dy = 0

A:

Q: A rectangle has an area of 198 cm and a perimeter of 58 cm. What are its dimensions? Its length is I...

A:

Q: Q1. Each of the following curves cuts out regions above and below the x-axis between the given point...

A: see below the answer and calculation

Q: f(x) = 5. (a). Use f'(x) = lim (e+h)-/@) to find f'(x). %3D %3D T+3 h→0 (b). Find an equation of the...

A: Given query is to find the derivative using definition and the equation of tangent at x =2.

Q: Write 58e" 0.64r in the form 58b" and interpret the value of b. Round b to four decimal places. 0.64...

A: Topic:- exponential growth function

Q: Given: sing = - e is a third quadrant angle, and tand = - is a second-quadrant angle; find cos(e+ d ...

A:

Q: Volume of a Cube The volume V of a cube with sides of length x in. is changing with respect to time....

A: This question can be solved by applying the concept of rate of change of quantities.

Q: V3 tan A = 1 M 30 150

A: