9. y(x) = V + ti dt

Q: Use the comparison theorem to determine whether the integral is convergent or divergent. dx 3 + x12 ...

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Q: what is the differential coefficient of x.

A: To find differential coefficient of x we need to differentiate x with respect to x.

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Q: find the average value of the function on the given interval 7T 5. COS on 0, 6. sin x on (0, 7)

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Q: Find the general solution of у" -у - бу %3D 6х3 + 26 sin 2x

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Q: Z = z = cos3xsin4y+2x²y az əz azz a²z a2z Find : дх' ду' дх ' ду'дхду

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Q: Write the trigonometric expression as an algebraic expression in u. cot ( cos 'u) cot (cos 'u) = (Ty...

A: Inverse function

Q: Let each of the vectors A = 5a, -- a, + 3n,, B = – 2a, + 2a, + 4a,, and C - 3a, – 4a, extend outward...

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Q: Find the integral. e4X cos 3x dx + C

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Q: Theorem 1 Sequence Defined by a Function Let f(x) be a function defined on c, o] for some constant c...

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Q: Integral Calculus Solve in detailed solution. A. Í (4x°+x) v4x²+1dx B. Í(x+2) Vx+3dx

A: (A). The given integral is: I=∫4x3+x4x2+1 dx

Q: 2y" + 7t y' + 9y = 0 betermine the Characteristic Equation for the Differential Equation and then So...

A: Topic:- differential equation

Q: Describe how the graph of the following function can be obtained from one of the basic graphs. g(x) ...

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Q: 1+1=?

A: Given that we need to find the value of the following expression.

Q: Find the exact value of each exp V3 sin 2 Si

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Q: driver driving along a highway at a steady 41 mph (60 f/sec) sees an accident ahead and slams on the...

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Q: x° + x dx Vx3

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Q: Evaluate ∫100(ti+(t^2)j+(t^3)k)dt=  i+  j+  k.

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Q: If a sequence c1, c2, C3, . .. has limit K then the sequence eº, e%, e,... has limit eK. Use this fa...

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Q: When a cake is removed from an oven, its temperature is 375°. The cake is placed in a room with a co...

A: Topic:- Calculus

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Q: what relationship should be present between two vectors for the law of cosines and sines to be used ...

A: a) for cosine law, the two vectors should have an angle between them. We should know any three eleme...

Q: Question 4 The inventors of Calculus were Sir Isaac Newton and_ A Friedrich Gauss B) Gottfried Wilhe...

A: Carl Friedrich Gauss is known for his contributions to number theory, geometry, probability theory, ...

Q: 11-18 Find the solution of the differential equation that satisfies the given initial condition. 12....

A: NOTE: Refresh your page if you can't see any equations. .

Q: (x-y)dx+(x-y+2)dy=0,Solve For Homogeneous DE

A: Given differential equation is (x-y)dx+(x-y+2)dy=0 Solve homogeneous DE

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

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Q: After 2 hours, the population of a culture of bacteria has increased by 50%. If the rate of growth i...

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Q: Question Evaluate the integral below. dx

A: Given that: ∫x7e3x4dx

Q: A radioactive substance decays at a rate that is proportional to the amount of the substance present...

A:

Q: A. Evaluate each of the following indefinite integrals: S*(1+v*) -ldv (cor-ly2) 2.

A: Solution is given below:

Q: Find the area of the shaded region. y x = y -8 -6 -4 -2 4 Hy=-1 2.

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Q: II. Let U = R, 1 = { x eR | x5 – 26x3 + 25x = 0 }, J = { x € R | |4x + 2| > 10 } and K = { x €R | x?...

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Q: y =

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Q: л- 25х — х? — ху - 2у? + 30у - 28

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Q: Evaluate the given function ſ tanøsec?ødø

A: Hence, the correct answer is option (d)

Q: Use algebra to simplify the expression before evaluating the limit. In particul the highest power of...

A: Given: limn→∞-3n8n7+517

Q: dx Evaluate the given function f xlnx а. In (lnx) + C b.lnx + C с. х + С d. - In(lnx) + С e. None of...

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Q: what is the derivative of y=e^-1/2x(C1cos3x+C2sin3x) and evaluate if x=0, y'=8

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Q: 3. For the given function below, find 2x* - 3x3 - 21x? — 2х+ 24 y : 2x* -7x3 —11х? +22х +24 E. Infin...

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Q: Evaluate the integral. 25 In y dy 16

A: Given problem:-

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Q: Find the derivative of f (x) = (4x + 1)(5x² + x/x ). Upload your work in the next question. The deri...

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Q: Explain why each of the following integrals is improper. 10 (a) dx 9)4 (х — O Since the integral has...

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Q: The derivative g' of a function g is continuous and has exactly two zeros. The second derivative g'"...

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Q: 2n5-n2+4 i. an n²+1

A: Follow the procedure given below.