What value should be assigned to a to make the function x<3 |(x) = {x²- 1, (x)%3D (2ax, x23 Continues at x-3

Q: 1. Let E be the surface in R3 given by z = e-*-y where x2 + y² < 4, oriented with the upward normal....

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Q: If the entire pizza has a 16 inch diameter and is cut into 8 slices. Find the area of a slice of piz...

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Q: QJchange to Polar ( dxdy - Ji-y?

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Q: 3 8. If sin e = - - and the terminal side of e lies in quadrant III, find cos e. 5 3 3

A: Topic  = Trigonometric ratios

Q: I Y=t5メPYove th y-2(21くるど

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Q: Quotient Rule Differentiation Give 3 examples with a solution and final answer. Make sure it is uni...

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Q: If a force of 60 lb. acts at an angle of 40 to the horizontal, what is its vertical component? 39 l...

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Q: Using the figure shown, find sece (3,- 4) 5/4 5/3 -5/4 -5/3

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Q: 9. . cos xsin?x dx. 2 ,5 10. 2 sin°x dx 0,

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Q: Find the radius of convergence and the interval of convergence. k(k + 5) k=1 Radius of convergence: ...

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Q: Q: solve the equation 5 lim ( x-3 3y + 4x x - 3

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Q: 2. Find the derivative for each of the following, be sure to use proper notation and simplify when n...

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Q: The force on a particle is described by 5x³ – 5 at a point x along the x-axis. Find the work done in...

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Q: A. True or False. Write T if the statement is TRUE, otherwise write F. 1. The function f(x) = discon...

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Q: 1 1 cos³30 \cos830) sin330

A: Solution is written in below steps.

Q: find as xm Plotes of the following carre then graß h them X-4

A: Given query is to find the asymptotes and the graph of the curve 

Q: The school director of Saint Louis School of Pacdal, Inc, wants to construct a rectangulr wants to b...

A: To find: The dimensions of the garden to be maximized: Given information: The school director wants ...

Q: Order the functions from slowest growing to fastest growing as x -o: 4x², (In x)³, 10*, and e2x

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (-1)k+1 k7/6 k...

A: The given series is: ∑k=1∞(-1)k+1k76 Let, ak=(-1)k+1k76; k≥1

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Q: 00 In x dx x4

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Q: Max bought a new video game that was on sale for 25% off. If the regular price of the video game was...

A: Topic = Algebra

Q: Find dY at x = -1ifY zu%5V=4 3. and u= X²+ X

A: Given that y=u3+5u-4 and u=x2+x We need to find dydx at x=-1 Take y=u3+5u-4 Substitute "u"  ⇒y=(x2+x...

Q: 1 S- -dx xx

A: As per Bartley guidelines we are supposed to answer only one question per post. This post contains m...

Q: Integrate S (a?- ) dv ; where " a" is constant O = - + C 3 =-{ (a? – v²)* + (a? – v²)* + C O = (2? –...

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

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Q: Differential equation A tank initially contains 10 gal of fresh water. At t= 0, a tap is opened, po...

A: Given

Q: di 4. The voltage across an inductor is given by v= L dt (4) Find the voltage across a 40H inductor ...

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Q: Use the formula for the binomial series: m(m-1)2 + 2! m(m-1).(m-k+1),k + .. (1 + x)" = 1+ mx + ... k...

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Q: 3. Find an equation of the plane passing through the points P = (5,1,1), Q = (1,1,2), R = (2,1,1)

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Q: +00 {a,} an+1 Use the ratio to show that the given sequence {a,} is strictly increasing or strictly ...

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Q: A circular plate with radius 6 m is submerged vertically in water as shown. Express the hydrostatic ...

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Q: S sin²4y cos15, 4ydy

A: I have stated the used formulas in the solution

Q: assume that an airplane is flying toward you at a constant height, h miles, and at a speed dx/dt. W...

A: assume that an airplane is flying toward you at a constant height, h miles, and at a speed dx/dt. Wh...

Q: Using the figure shown, find cota (3, - 4) -4/3 4/3 3/4 -3/4

A: Topic = Trigonometric ratios

Q: Compute the multiplicative inverses of the following (if they exist) usin Using the Euclidean algori...

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

Q: Find the indefinite integral. sin 78 V COS 76 de

A: Given: I=∫sin37θcos7θdθ  ....(1)   We know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: 5. Use the integral test to determine the values of p for which the series below will converge. 1 k(...

A: Here we have to use the integral test to determine the value of p for which the series below will co...

Q: Fin d y' forsin X +Sin Y =A

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

Q: 4. Assume y(x) = eaª cosBx is one of the solutions of the DE y(3) – 3y" + 7y - 5y = 0. Then α+β= (A)...

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Q: 0 2 46 8 10 12 f(r) = 16 14 13 14 16 20 23

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Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

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Q: rt%3Dr/6 t cos(2t) dt t=D0

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Q: For f(x)=(x^2+x−2)/(x+2) does the Mean Value Theorem apply on the interval [0, 2] and why?

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Q: Q.2\Prove the Maclaurin series: (-1)"-1xn In(1+ x) = En=1' ,-1<x<1.

A: We have to prove maclaurin series.

Q: Find if the following is homothetic: F (x,y) = x²y +y3 %3D 1. Yes, it is homothetic. 2. No, it is no...

A: topic -  homogenous funtion

Q: Find the max emin, nflection Points and the in ter Vals on which the function iiHereaserdecrease con...

A: Given query is to find the the key points of the function.

Q: Question 3: Differentiate the function by using the definition of derivatives. f(x + h) – f(x) f'(x)...

A: The given function,    fx=x2-2

Q: Order the following points by their distance to the point (1,1,1) starting with the closest point. (...

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Q: The derivative of the function y = cos(x ln 3)log3 (sin x) is:

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