Find the inflection points of each of the given curve.  3y = x3 + 3x2 – 9x + 3

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Q: Solve the differential equation.

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Q: 49. If the complementary function of this equation is Y. = c;e* +c2xe*, then by the method of variat...

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Q: Find all the maximum and minimum points of f(x) = x4 – 8x2.

A: As we are not given any particular, we will take the help of the graph here.

Q: How to convert a cosecant theta to tangent data

A: sinθ = 1cosecθ  and cosecθ = 1sinθ

Q: Find the curvature of the twisted cubic 7(t) = (t, t, tº) at the point (0, 0, 0). А. О В. 1 С.2 D. 3...

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Q: A large cylindrical tank has radius 2 m. Water flows out of a tap at the bottom of the tank at a rat...

A: radius of tank = 2m initial depth = 9m depth after 15 minutes = 4 m  

Q: y(x^2+xy-2y^2)dx+x(3y^2-xy-x^2)dy=0 solve using homogeneous equations

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Q: .3 dx

A: Definite and indefinite integral 

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Q: Complete the following statements, if s(1) is a position or displacement function.

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

Q: For the given p-series, identify p and determine whether the series converges. Ek-615 -6/5 k=1 . The...

A: Find your answer below 

Q: x y e**y + y² e* v´ +1) dæ + (a? e* v + 2 x y e* v° – 2 y) dy = 0

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Q: Suppose that Miguel has traveled a distance of 1 km, and now he wants to convert distance into cm , ...

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Q: ydx+(2x+3y)dy=0 solve by using homogeneous equaations

A: We know,∫dxx=ln(x)   Given differential equation, ydx+(2x+3y)dy=0 ⇒dydx=-y2x+3y....(i)  

Q: 2-4 (2+4) Ba+C True or false? can be put in the form Explain. 2+4

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Q: A cylindrical steel storage tank is 15 feet tall and 6 feet in diameter. Calculate the change in vol...

A: Note: As there are two different questions in the picture we will solve the first question by defaul...

Q: If x2 + y2 = 100 and dy/dt = 4, find dx/dt when y = 6. (Enter your answers as a comma-separated list...

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Q: 2. Viola drives 170 meters up a hill that makes an angle of 6° with the horizontal. To the nearest t...

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Q: Find the indefinite integral. 4x2+2x-1 d.x none of these Omz + 1| -31m|z미-글+C o+ Inz* + =*|+C In a+1...

A: Given: I=∫4x2+2x-1x3+x2dx   We know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C ; n≠-1 And ∫1ax+bdx...

Q: (2y sin a cos x – y + 2y²e#v° )dx – (x – sin² æ – 4xye*v* )dy = 0 Let M be the coefficient of dr and...

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Q: A point (5, 1) on the terminal side of an angle 0 is given. Find the exact value of sec 0. 2/6 3/26 ...

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Q: Evaluate the following definite integrals, t(1 -t)² dt = а.

A: Solution: ∫-11t(1-t)2dt Expand=∫-11t-2t2+t3dt

Q: -3 -dx J2 (x²–1)² 3.

A: The given integral,        ∫23xx2-12dx

Q: 1. Find the second derivative of the function. 8(x) = 3\/x + e7*In(x)

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Q: 4. Given that r(t) = cos ti + sin tj + In cos tk Find the curvature k and vec- tors T, N, B at the g...

A: Find curvature at t=1

Q: Which of the following is true for the function f(z) - a -4, z<1 -2, O a. f(1) = undefined O b. lim,...

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Q: Use any method to determine whether the series converge. 1 (a) E 'k² + 15k + 1 This series diverges....

A: To check the convergence of the given series.

Q: Express the integrand as a sum of partial fractions and then evaluate the integra 4x2 xp. 4 1

A: We have to find out 

Q: Determine whether each of the following functions is (a) continuous (b) differentiable 2. f(x) = Vx ...

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Q: Please answer the question below: 1.) Explain why the integral below is an improper integral and wha...

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Q: Evaluate f tan²xsec*xdx using trigonometric integrals

A: Our Aim is to evaluate the integral given below:-∫tan2 (x) sec4 (x) dx -(i)

Q: Consider the following. cos(x) + Vy = 3 (a) Find y' by implicit differentiation. y' = (b) Solve the ...

A: Derivative

Q: In the arguments bebu, vymboline both the givens and the a full two column prove statemunt. Then, wr...

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Q: The figure on the right shows the graph of f and a line tangent to the graph of f at x = 7. Find f(7...

A: Given query is to find the value of f(7) and f'(7).

Q: Coffee is draining from a conical filter into a cylindrical coffeepot at the rate of 9 in./ min. Com...

A: Given:Coffee is draining from a conical filter into a cylinde rcoffee pot at the rateof 9 in3/min.To...

Q: Study the figure below and give the value of x and y", If the least squares equation is y= 18.9476+1...

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Q: 9. Sze4z²dz

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Q: 3x lim The limit 2 x-2 (see graph) is

A: Here, to find the given limit: limx→2+3xx-2

Q: 4. Perform the following operations involving complex numbers: a. (2 + 7i) + (3 – 4i) b. (9 + 5i) - ...

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Q: X+ 4x + 3

A: Given query is to eveluate the integral.

Q: Use the given graph of the function to find the z-values for which f is not differentiable. 1.A Answ...

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

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Q: f(z+h) f(x) For f(z) = V71 + 37, find f '(z) using the definition f '(z) h this, find the tangent li...

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Q: Write this term in mathematic language: bcos(ax)^2, a-(sort(5)-1)/2

A: Let's find. 

Q: Given the function: f(x, y) = 3æ°y – 7x*y+ 5x – 4y Find the folowing: show complete solution a. fz(1...

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Q: A spacecraft launches from the International Space Station and flies directly away from the earth at...

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Q: у (2ху+1) dz +a (1+2ху— г3 у?) dy 3 0 (1+ 2гу— а* у) dy %3D0

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Q: 3. Let A C B. Which of the following statements is/are true? a. AnB CA b. AUB CB c. A\B is a singlet...

A: Topic  -   set and subset