1) S dx 9-x2 dx 2) J2y-2 x2Vx2 -2 3) dx 2 V1-x2 |3D

Q: 22* – 8* - lim x → 0 sinx o In(176.00) O In(2.75) O In(14.00)

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Q: Find the solution of the given initial value problem. ty' + 3y = t – t+ 5, y(1) = 3, t > 0 y =

A: ty' +3y=t2-t+5  

Q: 4. Sw-2 + 10w-5 - 8 dw

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (– 1)k+1 Σ 5k ...

A: Please refer to the image below

Q: Solve the given differential equation. All solutions should be found. (3y? + 2xy) dx – (2.cy + x²) d...

A: Solved below

Q: Find the equation of the line satisfying f(0) - 7 and f(7) 2. %3D f(x) = -

A: As we know that, The expression for the equation of the line (point-slope form); y-y1=mx-x1 Where; m...

Q: B. Determine the intervals wherein the function is continuous and the values of x wherein there is d...

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Q: 11. The value of k so that (y +kxy –- 2x)dx + (3xy? + 20x°y³ )dy = 0is an exact equation is: C. -5 d...

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

Q: f(x)=3x³ - 3x + 2

A: Solution

Q: 7. f(x)=-+1 X+ X a. Continuous c. Jump discontinuity at x = 2 Essential discontinuity at x 0 |-2x-1,...

A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

Q: Evaluate the integral. Show all your work. -1 tan (5x)dx

A: This question is based on integral by parts.

Q: - x$ tn*(1+3x®) Using the appropriate integration formula to evaluate dx, the du = N. %3D 1+3x

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Q: A pair of dice is rolled. let X be the sum of the number of dots onthe top faces. The table below sh...

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Q: Evaluate. Show all your work and make sure answer is in simplest form. 39 (x+2)(x² +9)

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Q: az If r?sin(0) = (rcos(0) – 1)z , where r and 0 are independent, determine az and ae D. ar r?cos(0)+...

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Q: Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for ...

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Q: The solution to (2x – 4y – 3)dy = (x- 2y)dx is:

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Q: Determine (without solving the problem) an interval in which the solution of the given initial value...

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Q: 2. In(x + iy) = A. cos(x) cosh(y) - i sin(x) sinh(y) B. sin(x) cosh(V) + i cos(x) sinh(y) C. cos(x) ...

A: solution

Q: Assume the following : lim f (x) =4 lim g(x) = 10 lim h(x) = -3 %3D SHOW YOUR SOLUTION 1.lim (7 · f ...

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Q: What is the integrating factor of the differential equation y' =cscx-ycotx ?

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Q: Use the difference an+1 – an to show that the sequence {n – 2"}n=1 +o0 is strictly increasing or str...

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Q: as neatly as possible. Show computations y equation.

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Q: &r4- V iderivative of F (x) =- determine the value of C (use 3 decimal places, answ

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Q: Evaluate the integral. – 17e +C dx

A: Based on the general formula used for integration we will evaluate this integration problem. Integra...

Q: Suppose that on January 1 you have a balance of $4700 on a credit card whose APR is 12%, which you w...

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Q: 17. The integrating factor to the linear differential equation x(x? +1)y' +2y = (x² +1)³is: x2 x? a....

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Q: 1. The formula for finding the arc length of a curve, given in parametric equations, is as follows A...

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Q: Activity 2: Determine the equations of the normal at each of the points indicated 1. f(x) = x² + 3x ...

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Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: dx/y-xdy/y^2=0 solve using exact equations (diff eq)

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Q: Determine whether the series converges; if so, find its sum If the series diverges, indicate that wi...

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Q: Problem 4. George is a graduate student and he divides his working week between working on his resea...

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Q: Determine whether the series converges using the limit comparison test. 4k2 – 2k + 5 Σ 16k6 + k - 16...

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Q: dy = f(y). dt The following problem involves an equation of the form Sketch the graph of f(y) versus...

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Q: Consider the following. (In(x)) , dx The process of evaluating this integral can be started using in...

A: See the details solution in below

Q: The Maclaurin polynomial for the function f(x) = tan(x), n=3 is P3(x) = x + 3 True False

A: I am attaching image so that you understand each and every step.

Q: d) h(t) = sin ( arc(cos t))

A: The given problem is solved below in detail. Given h(t)=sin(arc(cost))

Q: Evaluate the integral. Show all your work. | tan (5x)dx -1

A: Given :∫tan-1(5x)dx

Q: 4.Find the volume of solid generated by revolving the regions bounded by the curve y = |cos(÷)y, -2 ...

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Q: In each part, find a formula for the general term of the the sequenc starting with n = 1. 1 1 1 1 1 ...

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for ...

Q: 20. What is the solution of (2x - y)dx + (4x + y – 6) dy = 0? a. (x+y- 3)° = c(2x + y – 4)² b. (x-y+...

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Q: 8.Expand the function F(x) =e ^3x-1 by using the Taylor order 4 polynomial, then approximate the val...

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Q: dw (Sw2 +1), In(5w²+1) (5w

A: ∫w*5w25w2+1*ln(5w2+1)dwSubstitute u=ln(5w2+1)→dudw=2ln(5)w*5w25w2+1→dw=5w2+12ln(5)*5w2*wdu=12ln(5)∫1...

Q: A large tank filled with 500 gallons of pure water. Brine containing 2 pounds of salt per gallon i...

A: Let A(t) is pounds of salt in the tank at time t.We know that dAdt=Rin-Rout

Q: 7. One secretary can do a particular job in 6 hours and another secretary can do the same job in 4 h...

A: Topic:- algebra  Note:- as per our guideline if more than one question uploaded than only first ques...

Q: (a) A function is labeled as, "even" if has the property that: f(-x) = f (x) for all values of x. Sh...

A: (a) To find whether the function is even or not let us replace x by -x f(-x)=(-x)2+2-x+2f(-x)=x2+2-x...

Q: Question 1 Classify the stationary point(s) of each of the following functions as convex, concave (s...

A: note: as per our company guidelines we are supposed to answer only 3 subparts of a given question. K...

Q: The following situation applies to the attached question The fluid pressure (in atmospheres) at the ...

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