Tx?+y?)dx + 3xydy

Q: 3 9 Bruce is 7- inches taller than Tim. If Bruce is 52 inches tall, what is the best estimate of Tim...

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Q: (V- 1)2 Evaluate dx by two methods: (a) Expand (Vx 1) and multiply the result by x-1/2: (b) let u = ...

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Q: Find the slope of the line passing through the pair of points or state that the slope is undefined. ...

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Q: How much work W is done in pulling the rope to the top of the building? Show how to approximate the ...

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Q: ii) Show that lim - 1+22+33 +...+n' "]=1 1/n

A: Apply Cauchy Frist theorem on limit

Q: P3.A: Find the area bounded by the curve y = (x - 2)(x + 1)(2x – 1) and x-axis.

A: Given:      curve y=x-2x+12x-1            

Q: d²y Given the differential equation. + 4y = 0 and the initial dx? conditions y(0) =0 and y'(0) = a, ...

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Q: evaluate the definite integral of " sqrt{x}ln{x} " for the domain [1, 2

A: Given: - The definite integral is, ∫x.lnxdx for the domain1,2 To evaluate: - The solution of the giv...

Q: 5 1 from y = 1 to y= 2. 3 12y Find the length of the curve x =

A: NOTE: Refresh your page if you can't see any equations. . for simplicity interchange the variables

Q: Express the following differential equation in terms of a differential operator: d² 9. dx? •() + dy ...

A: The given differential equation is:9d2ydx2+12dydx+4y=0

Q: 2 - = 3t y+ x' = 3et * (0) = y (0) = 0 OL (x) = 3s2 (s+1)(s–2)(s²+1) 3(s-1) OL (z) = 76+1) (28²+1) s...

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Q: Int Find lim ( arctan t, e-7t, t-00 t

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Q: A 300-gallon capacity tank is originally filled halfway with a brine solution that contains 2 Ibs of...

A: Given:   Data is given

Q: Apple pies are often served with ice cream on top. If the pie is too hot, the ice cream will melt to...

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Q: Given the differential equation, d'y dy -3x +4. dæ + 3y = e sin (), the proposed particular - dx? so...

A: We have to find the value of B. 

Q: A 300 liter tank initially contains 100 liters of concentrated orange juice. 10 liters per minute of...

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Q: A small metal bar, whose initial temperature is 40°C, is dropped into a container of boiling water w...

A: Follow the procedure given below.

Q: A spring is stretched 3 in. when an 8-lb weight is hung on it. The 8-lb weight is attached and pushe...

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Q: dx -x - e

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Q: (+e") dy In the given DE, cos x + In y + dr integrating the coefficient of dx, M (x, y), with respec...

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Q: Solve the following DE: (2xy + 3x²) dæ + (2xy+ 4y) dy = 0 O a²y? + x³ + 2x?y? + 4y3 - 2xy = C O a'y?...

A: Solving the given differential equation

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Q: x2 – x – 6 lim 1+-3 x2 – 5x + 6

A: It is of 0/0 form ,we have to eliminate first its factor.

Q: tane cote +- = sin0 + cose %3D 9. Sece csce

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Q: Find L(y) y" - y = 1 0st< 2 It+1 t2 2 y(0) = y'(0) = 0 °L (1) = + +] -2s e %3| s(s2-1) s2-1 -2s L (y...

A: The given differential equation is: y''-y=1         0≤t&lt;2t+1t≥2;                y(0)=y'(0)=0There...

Q: A 2-lb-per-gallon salt solution is pumped in a 400-gallon tank at a rate of 2 gallons per minute. At...

A: We will find that how much salt is in the tank as soon as it starts to overflow.Below find the solut...

Q: 6. Solve the following problem: kiwis cost 5 coins, oranges cost 4 coins, and 2 grapes together cost...

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Q: Applying variation of parameters to the DE: y"- y = e + e-", | we get the following system of equati...

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Q: Suppose a metal ball is heated in an oven at 195 °C for a very long time. After, it was removed and ...

A: follow the procedure given below.

Q: P2.A: The integral of the following function: r In(sin2 x) dx tan(x) may be expressed as: A ln3 (sin...

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Q: Find the exact value of each trigonometric function 2. COS 135 degrees 4. TAN 930 degrees 6. COT ...

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Q: If f(x)=3lnx​:   A. An estimate of f′(1) using the interval from 1 to 1.1 is_____. B. An estimate of...

A: Given:     f(x) = 3 ln x

Q: a. Set up an integral for the area of the surface generated by revolving the given curve about the i...

A: Given that, The function is following, xy = 8 we have to find the area between 5 ≤y≤10, y-axis and t...

Q: Construct an appropriate triangle to find the missing values. (0° s05 90°,0s@s/2) Function e (deg) e...

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Q: BASIC PROPERTIES OF IHTEGRATION THTE GRATO THE FOllowING: Ne2メ-」 こ-2メ biNor?

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

Q: If f)=6X+12, hind the slopeof the secaut line between the values of X,= -5 and Xa = - 6- %3D

A: The given function is: fx=6x+12 To find the slope of the secant line between the values of x1=-5, an...

Q: Sesame seeds are often used as a garnish in Asian dishes. However, they need to be toasted at 350°F ...

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Q: x²+3x+2 6. limx0 2x2-1 2+3x 7. limx-00 бх-1 2x2-1 8. limx0 7+3x+5

A: Since you have posted multipart questions i can do first three subparts as per our company guideline...

Q: If F (t) = L¯* {?+10s+34 2s+10 s2+10s+34 1nd F (T) O 2e3 -2e-37 2e5 2e-5T

A: As we know that, The property for the inverse Laplace transformation; If L-1Fs=ft then L-1Fs-a=eatft...

Q: Find the intersection of the plane: x - z = 6, and the line r(t) = (1,0, -,1) + t(4,9,2)

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Q: Problem 2: French's Electronics is selling laptop computers. It determines that its total profit, in...

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Q: 6) Find the following: a) An equation of the plane passing through the points P(2,1, 10, Q(-1, -1, 1...

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Q: Find the exact length of the curve. y = x3/2, osxs 6 3

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Q: 3 dy 1+a da The differential equation dx? O second order and ordinary O linear and ordinary O non-li...

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Q: If y " +2y' + 2y = 3t2, y (0) = 0, y (0) = 2, what is the Laplace transform of y 6. s3 (s2+2s+2) 2s ...

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Q: Problem 1. Evaluate the following integrals (d) S V3 – 2x – x2 dx. -

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

Q: Use the graph to determine the following. AY a. the function's domain b. the function's range c. the...

A: Topic:- function

Q: 4) Two surface ships are trying to determine the course and speed of a nearby submarine to prepare f...

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Q: Find all vertical and horizontal asymptotes. 2x+5 11. f (x) = =- x-1 x2 12. f (x) = X-3 3x2-x+2 13. ...

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Q: P2.B: Evaluate the integral: (x+ 1)/2 J (x – 1)5/2

A: Evaluate the integral ∫x+112x-152dx