Rationalize the denominator.

Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. dx = 12+36

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Q: Find f'(a). f(x) : Vx + 9 f'(a)

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Q: y(8y² –5)dy 4y* –5y² +5 *(0–4)de (0+5) (x+e*)dx 1. 3. v tan v*dv 4. 5+31ncosv* 2.

A: To evaluate the given integrals.2 ∫θ-4 dθθ+523 ∫x-1+exex-ln1x dx

Q: Next question The gros domestic product (GDP, in trilions of dolars) for Country A and Country B can...

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Q: Suppose a block of metal is heated to 250 ° F and then brought into a room that is at 90° F at 5 pm....

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

A: The given integral is (x+1)1/2 /(x-1)5/2.

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: 5. ( arcsin(x – 1) dx

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Q: 9.

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Q: 70ot(*) e*dx e2x +1

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Q: A chemistry student heats a beaker that is at room temperature (30 °C)by inserting it in an oven tha...

A: "Since you have asked multiple question, as per our guidelines we will solve the first question for ...

Q: For the following differential equation, (3D4 – 3D² – 3D + 6) y = 0, how many - arbitrary constants ...

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Q: x2+6x+8 . f (x) = %3D x²+7x+12

A: Herei s the solution

Q: obtain the general solution. xcos^2 ydx +tanydy =0.

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Differentiate each function with respect to x. 2. f(x) = ln (3x^2/x^3+3)^5

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Q: A. HOMOGENEOUS EQUATIONS Find the general solution of the following differential equations (1) y' – ...

A: According to bartleby guideliness we can answer only the first three subparts of a question. Kindly ...

Q: Given the following differential equation: (D² – 9) y = e-4= cos e* Using the method of variation of...

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Q: 5. A realtor bought a group of lots for $90,000. He then sells them at a gain of $3,750 per lot and ...

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Q: Differentiate each function with respect to x. 1. f(x) = ln (x^4/4x^5-5)^2

A: To differentiate the given function with respect to 'x'.fx=lnx44x5-52

Q: 3xy? dx t (3x?y t qy% )dy

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Q: Find the general solution: (x – y) dx + xydy = 0 - x3 +с — 0 2x2 O none of the choices given In x + ...

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Q: (b) Find equations of the tangent lines at the points (1, 11) and (2, 12). y(x) = (at the point (1, ...

A: Part a,             y=8+5x2-2x3 and x=a

Q: The demand for a certain commodity is D(x)  =  1000e−.02x units per month when the market price is...

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Q: Find L {(2 t" - 3) (t +2)} O 2(2n)! n! -- $2n+1 sn+1 O 2(2n)! s2n+1 n! sn+1 O 2(n²!) n²+1 n! sn+1 O ...

A: To find:- L{(2tn-3) (tn+2) }

Q: v° tan odo 5+31ncosv

A: See this solution 

Q: ax + by + cz + d, = 0 13) Show that the distance between the parallel planes: and ax + by + cz + dz ...

A: here we have to prove the formula of distance between 2 parallel planes.

Q: true ? following which of the is 9. In finite rey union finite set is finite set. of 6. The union of...

A: (b). If A and B are disjoint denumerable sets,then A∪B is also denumerable.

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

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Q: Which of the following sets is denumerable? A.) [1, 20) B.) { 1.9, 1.99, 1.999, 1.9999, 1.99999, . ...

A: Which of the given sets is denumerable? An infinite set is denumerable.

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: cos(2æ) Given the differential equation y" + 4y' + 5y = Propose an appropriate particular solution. ...

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Q: Solve the following and show your complete solution Find Taylor Series Expansion and Compact form of...

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Q: .

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Q: Use the definition of derivative to find f'(x) and f"(x). f(x) = 4x2 + 8x + 3 f'(x) f"(x)

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Q: For each problem, find the equation of the secant line that intersects the given points on the funct...

A: Here is the solution

Q: Let S be the set of numbers of the form { ((-1)^(n)) (2n + 1)/(4n - 1) } where n is an element of th...

A:

Q: 15) Consider the following equations of quadric surfaces: a) x = + - 4 b) x? - y? + z? = 4 i) Identi...

A: We need to find surface type and intercepts.

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: The definition of the error function also defines an "error term" E(x, y). Find E(x, y) for the func...

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Q: Identify the graph corresponding to the following function (t 0): y =tu (t – 1) – tu (t - 3)

A: solution is given below

Q: How large should n be to guarantee that the Simpson's Rule approximation to 19ex2 is accurate to wit...

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Q: Why must n2 r in the notation nCr?

A: Topic = Algebra

Q: (3x² + y²)dx + 2xydy = 0

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Q: The rate of accumulation of salt in the tank is equal to: O the product of the concentration and the...

A:   The rate of change of salt in the tank = [rate in] − [rate out].   

Q: Find L{(1 – t) (3 + 2 sin 5t)} . 3 2s 10s - 82+25 (s2 –25)² - 10 20s 을 + - - s2+25 (s² +25)² 3 3 10 ...

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Q: I. Use the tabular method to evaluate the limits. lim f(x) = (x² – 2x+ 4) x-1 f(x) 0.5 0.7 0.95 0.99...

A: topic - limits

Q: (4) t(s² + t²)ds – s(s² – t²)dt = 0

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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 L{(1- t) (3 + 2 sin 5t)}. 2s 10s - s2+25 (s2–25)? 3 10 10 $(s2+25) s2 (3²+25) 3. 10 20s s7+25 (...

A: