E In each of the following, find the derivative dy You should simplify as much as possible, but do not waste too much time doing it. b) y = x% + vx de x5+3

Q: Use a software program or a graphing utility with matrix capabilities and Cramer's Rule to solve (if...

A: NOTE: Refresh your page if you can't see any equations. . the system Ax=b is  the matrix A is  fin...

Q: 10. Show that y = 2x³ – 5x satisfies y' + y" - xy" + 5 = 6x² [T:3]

A: We have to show that given condition in question.

Q: 1.) det(A^T)

A: Let's Solve, det (A^T) = det A

Q: Find the length and direction (when defined) of u x v. u = 2 i+ 2j- k, v = -i+ k

A: As per our guidelines we are supposed to answer only one question and rest of the questions are repo...

Q: Show that in C* the subgroup generated by i is isomorphic to Z4.

A: C* is group of non-zero comples numbers with multiplication

Q: 2. y = C1x + Exercise No. 4. Elimination of Arbitrary Constants by Determinants. Show your solution....

A: A detailed solution is given below.

Q: Use the dynamic points to graph the polynomial P(x) = (x + 1)² (2 x – x²). The fixed points represen...

A: Given the graph of the function 

Q: Direction: Find the equation of the tangent line to the function at x=a. 1. у %3D Зх-1 at x = 9 x+2 ...

A: We know, the equation of the tangent line to the function f(x) at x=a is given by y-f(a) = f'(a)·(x-...

Q: Assuming f and g are differentiable functions, determine ) (2) if f(2) = 5, f' (2) = –7, g(2) = 8, a...

A:

Q: For number 37, how do we differentiate these problems? The answer is on the paper and the question b...

A: Given that: y=1-x2              .........(1)and y=cosπx2    ........(2)

Q: Question 7 In the year 2000, the United States had a population of about 281.4 million people; by 20...

A: Explanation of the answer is as follows

Q: Use the properties of limits to help decide whether the limit exists. If a limit exists, find its va...

A:

Q: find f c^) : 2x+3 5X+4

A: Topic :- Functions 

Q: Use Substitution method: y' tan x sin2y= sin^2 x+cos^2 y

A: A detailed solution is given below 

Q: Evaluate cos a sin3 a dx. C atar O Tyne here to search

A: See the details solution in below

Q: Find the second derivative: 9. y = x(2x+ 1)³ %3D

A:

Q: A. Directions. Express the following general equations of the circle in center-radius form. 1. x? + ...

A: Topic - circles Equation of circle in centre radius form is (x-2)2 +(y-4)2 =(sqrt(2))2

Q: Express he equation n" = 4y in poar corinaes.

A: Given equation x2=4y

Q: Which of the tollowing integrals gives the ength of the graph y=18 between X= a and a. a 1X2+X dx b....

A: We have to find the length of the graph  y=x  between x=a and x=b where  0<a<b.

Q: [A: 3] 12. Analyze the differentiability of the function ( 2x5 + 6x + 1 , x>1 l2Vx + 8 , f(x) = at x...

A:

Q: a. Find f(-7). b. Find f(7). 11

A:

Q: 2x+3y Solve the differential equation y'

A: Please see the below picture for detailed solution. 

Q: item is ​C(q)=98q+91. The revenue function for the same item is ​R(q)=98q+52q/ lnq. a. Find the marg...

A:

Q: ar+9 If the graph of y = has a x-intercept at x = 3 and a vertical asymptote x =-3, then x+c a +c=_

A:

Q: each of Problems 1 through 3, verify that each given function is a solution of the differential equa...

A: Follow next step

Q: F6.)-x*logs (3x •5) f(x)=x*l| x)=|

A:

Q: Obtain the solution of the following differential equations. 1. 2x(y+ 1) dx – ydy = 0 ; when x = 0, ...

A:

Q: 4) Find line of intersection for 2 planes.  2x-3y+z=5 -x+2y+3z=2

A: We will solve the problem 

Q: Use Cramer's Rule to solve (if possible) the system of linear equations. (If not possible, enter IMP...

A: NOTE: Refresh your page if you can't see any equations. . the system Ax=b is  the matrix A is  fin...

Q: If f(x) = sec(x) tan(x), then f'(37) =.

A:

Q: 5- 4 2 -5 -4 -3 -2 -1 1 2 3 4 5 -2 -4 -51 Select all the points at which the graph above is not diff...

A:

Q: Use Trig Substitution. integral of x^2/sqrt 9-x^2.

A:

Q: y²dx + (x² + 7xy + 16y2)dy = 0

A: Here the given differential equation is homogeneous differential equation

Q: Apply elimination of arbitrary constants to determine the differential equation for the family of ci...

A: Given;  the differential equation for the family of circles whose centers are on x-axis.

Q: Direction: Find the equation of the tangent line to the function at x=a. 3. y = V5x + 4 at x= 1 4. y...

A:

Q: Use the Chain Rule to find ôz/as and az/ðt. z = x°y5, x = s cos t, y = s sin t az as az at

A:

Q: Find the tangent plane to the equation z - 3x? – – 108) 4y? + y at the point (5, 3, z =

A:

Q: Let lim f(x)=4. Use the limit rules to find the limit given below. %3D X-7 lim 5x) x-7

A: Given :

Q: 1. Determine the third derivative of the following. A. f(x) = x³ – 4x² + 5x + 3 B. f(x) = Inx [ K: 2...

A:

Q: (x² + y² + 1)dx + x(x – 2y)dy = 0 %3D

A: To solve the given differential equation: (x2+y2+1)dx+x(x-2y)dy=0 It can be written as: (x2+y2+1)dx+...

Q: The manager of a company that produces graphing calculators determines that when x thousand calculat...

A:

Q: Class Scheduling Enormous State University's Math Department offers two courses: Finite Math and App...

A: Here what we have assume that  X is the number of section of finite math and y is the number of sect...

Q: If total revenue received from the sale of x items is given by ​R(x)=10ln(2x+1)​, while the total ...

A: The given function is,Revenue, R(x)=10 ln(2x+1)cost, C(x)=x2

Q: His holiday was then cancelled. He changed all his dollars back into euros and he received €750. Fin...

A: Given  Initial currency is 800 Euro and initial exchange rate is 1.5 dollar per Euro. After second e...

Q: For the following exercises, use the graph of f(r) = 2 shown in Figure 31 to sketch a graph of each ...

A: Given, f(x) = 2x Reflection of f(x) is f(-x), -f(x) and -f(-x).

Q: Determine if the equation is linear or not linear. If not linear, choose the term that is not linear...

A:

Q: 7. Apply the appropriate rule to determine the slope of the tangent line to the curve graph given by...

A:

Q: xy' + 2y =, y(1) = -1

A:

Q: find the mayni angle op nrector C umcasured from ox axis if CAt B udcand -3-2 12 2.

A:

Q: Question 4 Radium-226, an isotope of radium, has a half-life of 1,601 years. Suppose your chemistry ...

A: