dx 4) S xVx2-9 x2 dx 5))S To 9-x2

Q: dy sec x.tan x sec x.tan x =-CSC X x %3D dx 1- sec' x - tan? -

A:

Q: Find the lines that are tangent and normal to the curve at the given point. x²y? = 100, (-2,5) The l...

A: The given function is x2y2 = 100  at (-2,5)    

Q: A farmer has 1,700 feet of fence and wishes to build two identical rectangular enclosures, as in the...

A: Given query is to find the dimensions of the enclosure and the area.

Q: 9. There is an infinite discontinuity at x = 0 and f(0) = -2 10. There is a jump discontinuity at x ...

A: Let's find. 

Q: 2 x-6 = 1/8

A: Given:   2x-6  =18

Q: Consider the following. 6/x-1/y=7   a) Find  y ′  by implicit differentiation. y ′ =        (b) Solv...

A:

Q: Use the difference an+1 - an to show that the sequence {n – 11"}1 In=1 is strictly increasing or str...

A: {n-11n} an+1 = (n+1) - 11(n+1) an = n - 11n an+1 - an = (n+1) - 11(n+1) -(n - 11n) an+1 - an = 1 + 1...

Q: Evaluate the triple integral. x dV, where E is bounded by the paraboloid x = 8y2 + 8z2 and the plane...

A: Here, the given solid E is bounded by the parabolid x=8y2+8z2 and plane x=8

Q: dx ト メ

A: Method of substitution is used 

Q: Blood alcohol concentrations of drivers involved in fatal crashes and then given jail sentences are ...

A: Here is the solution

Q: Evaluate the following indefinite integral. Use C for any constant of integration. ' 6x³ + 2x? 20x –...

A:

Q: . There is a jump discontinuity at x = 1 and lim f(x) = 1 x +1

A: To draw a graph of a function with jump discontinuity at x=1

Q: cos" (coxx)

A:

Q: The figure shows that a bicyclist tips the cycle when making a turn. The angle B, formed by the vert...

A:

Q: 3x²-2x+1) **1) dx x+2

A: Topic:- integration

Q: Given the differential equation y" - 4y' + 5y = 0 Determine the General Solution for the differentia...

A: See the details solution in below

Q: C.O d. 7. Evaluate the lim e. x-0 0M bobivo a. 0 8. The limit of x as x approaches to c is equal to ...

A: Topic:- calculus Note:- as per our guideline if more than one question uploaded than only one questi...

Q: Give an equation for the cylinder passing through (0, 2, 4) with the vertical line through (1,0,0) a...

A:

Q: Find the arc length of the graph of the function f(x) : In(sin(x)) over the interval 11 7

A: Let's find. 

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A:

Q: First make a substitution and then use integration by parts to evaluate the integral 7x°e" dx Note: ...

A:

Q: Q.4. locate the critical points of the function f(x)=x*(x-1)³ and identify critical points which are...

A:

Q: Find csc (-270°). Select the correct choice below and, if necessary, fill in the answer box to compl...

A:

Q: 15 A bridge has a parabolic span as shown, w? with equation d = - + 200 800 where d is the depth of ...

A: Given that parabolic spanwith equation d=-ω2800+200Solution:a. if function is even than ω is replace...

Q: Exercise (2) If A and B are any (2x2) matrices. 1. C=A'+B

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Find the area bounded by the following:   A parabolic curve whose vertex is at P(1,4) and its latus...

A:

Q: 32. (a) For a = 1, 2, and 3, draw position vectors for (1) ð = a²7 + 63 (ii) = 57 – a²3 (b) Explain ...

A:

Q: Consider the following sequence: 5" {an } = an+1 -to show that the given sequence {a,n} is strictly ...

A:

Q: Compute the discriminant B(x, y) of the function. S(x, y) = x' + y* - 6x – 2y² + 1 (Express numbers ...

A: Given function f(x,y)=x3+y4-6x-2y2+1

Q: There is an infinite discontinuity at x = 0 and f(0) = –2

A:

Q: 20 w(x) = x' + 7x3 3 1 v(x) = e² s(1) = r*e* 1² – 2 q(x) =

A:

Q: Will the limit of all polynomial functions f (x) as x approaches a be always equal to the value of f...

A: To write that the limit of all polynomial functions f(x) as x approaches a always equal to f(a). 

Q: 12. lim [(x 5) - 3x] isOHOAHOH 3OH2 UA a. lim (x 5) + lim 3x IROCORO b. lim (x- C. X-5- lim 3x X-a -...

A: 12)limx→a[(x-5)-3x] = limx→a(x-5)-limx→a3x13) limx→1x2-2x-3x-2=12-2.1-31-2limx→1x2-2x-3x-2=1-2-3-1li...

Q: Зх +7 -dx = (х—1)(х-9)

A: Fully evaluate the integral.

Q: 5. Calculate the derivative of f(x) = Use this result to determine whether the sequence x2 + 1 n An ...

A: Topic  - function and derivative 

Q: Given the differential equation x²y" + 5xy' – 5y = log (x) Determine the Wronskian for the different...

A:

Q: The boundary of a lamina consists of the semicircles y = V1 - x? and y = V9 - x² together with the p...

A:

Q: 12. Solve the following linear systems in terms of the parameter a, b, cER ax +y+z = 1 a.) {r+ ay + ...

A: Note: “Since you have posted multiple questions, we will solve first question for you. To get remain...

Q: ACTIVITY 1: Practice ! Apply differentiation rules in finding the derivative of the given functions....

A:

Q: please DO NOT COPY from other chegg posts or else it will be reported as SPAM. You are ...

A: The main idea of the algorithm is that whatever distance we go right from our initialposition, we co...

Q: Solve the equation In(x – 11) – In(x – 6) = In(x + 1). %3D

A: Here have to solve the given equation,  ln(x-11)-ln(x-6)=ln(x+1)  

Q: Decide whether each of the following statements makes sense (or is clearly true) or does not make se...

A: the solution is all about the concept of mean and median.

Q: Given the differential equation y" + 5y' + 6y = &x² e=7x Determine the General Solution for the diff...

A:

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

A: I have stated the used formulas in the solution.

Q: dx O a. dy -3y2+2x 2x +2y 2x +2y -3y +2x O. dy 3y2 - 2x 2x+2y -2x-2y dx -3y +2x %3D dx O b. dy dx dx...

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

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is inc...

A: The altitude of a triangle is increasing at a rate of 1 cm/min. The area of the triangle is increasi...

Q: (prore) using sequences とす、

A:

Q: - 30 + 8x² | + 8a° dx =

A:

Q: 3. lim f(x) lim f(x) 4. lim f(x) lim f(x) = -2, = +0, x+3- = 2 and f(2) = 0 = -0O x-2+ x+3+

A: Let's find. 

Q: sin ede 1- cos e 8.

A: