x²-4 6. f(x) = si x # 2 x-2 5 a. Halla el Dominio b. Evalúe: 1) f (0) 2) f (-3) 3) f (2) si x = 2

Q: Determine whether the series is convergent or divergent by expressing s, as a telescoping sum (as in...

A: Find your answer below 

Q: Let P=(- 2, - 1,3). The find distance from the point P to the plane x+ 2y + 2z = 10. The distance = ...

A: solution:-plain: x+2y+2z=10point: (-2, -1, 3)formula for foot of perpendicular on the plain from poi...

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Q: Determine whether the series is convergent or divergent. Write the exact TEST that you use. 9. ens n...

A: D'Alembert Test: Let ∑n=1∞un be a series of real numbers such that limn→∞un+1un=LThen if L<1 then...

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Q: Find the derivative of the function. 9(t) = ¿2 15 g'(t) =| 21 + 14

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

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Q: At the beginning of an experiment, a scientist has 108 grams of radioactive goo. After 150 minutes, ...

A: Solved below

Q: dw Evaluate at (u,v) = (1,5) for the function w(x,y) = xy -y2; x=u-v, y=uv. A. -4 В. 65 C. 1 D. 6 O ...

A: Given w(x,y) = xy-y2,x = u-v,y = uvsubstitute x and y in ww(u,v) = (u-v)(uv)-(uv)2 w(u,v) = u2v-v2u-...

Q: of

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Q: 9. Find the directional derivative of f(x , y , z) = 3x° +y° +z° - 9x + 9y – 9z + 4 at the point 9. ...

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Q: Integrals. Find the indefinite integral. | (7 - 6)(6t + 12) dt = + C

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Q: Explain what it means to say that: lim_ h(x) - o and lim h(x) 13.7. - x → 5 x →9+

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Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by y ...

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Q: ) Express the volume of the solid under the plane 5x - 2y + z = 4 and above the region bounded by x ...

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Q: dy using the chain rule in formula (1). State your answer Compute in terms of x only. 37. y = u2, u ...

A: As you have asked for the solutions of  question 37 and 39 only, so I am solving those only. Thank y...

Q: -dx + x(x² In y – 1)dy = 0 %3D 2+ 6y = 3xy3

A: We have to find the general solution of the given differential

Q: Given: g(x) = the square root of x, find g(x+h) - g(x) / h

A: This question can be solved by applying the concept of function and rationalization.

Q: Graph the polynomial given below by first selecting the number fo points that you will need, then mo...

A: We can find the required points, x-intercepts, y-intercepts and graph the polynomial as below

Q: Write a polynomial, P(x), in factored form given the following requirements. • Degree: 3 • Leading c...

A: Topic = Algebra

Q: Solve the separable differential equation dy 7y, dx and find the particular solution satisfying the ...

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Q: et f (x), g (x), h (x) be differentiable functions. Suppose g(x) is invertible. iven that f (2) = -,...

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

Q: a) Graph x = 2 and y = 3 and z = -3 in a 3-D rectangular coordinate system. b) Given vector A = -3i...

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Q: Evaluate the following limit using L'Hopital's Rule if indeterminate. e* – 1 lim x-0 sin(x)

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Q: (10) True or False (if true, give a proof. If false, provide a counter example). • If an > 0 for all...

A: The above statement is true.

Q: 3. Using Newton- Raphson method, find the real root, correct for three decimal places, of the equati...

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Q: y=2 x=1+y e) (2y+5x) dx dy answer: 31 y=0 X=0 2x (2xy - 1)dy dx answer: 3 -1 y2

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Q: Let M-{1, 2}. Then O IP(MxM)=4 None of the mentioned O MxM={1, 4} O MxM={(1,1),.(2,2)} O IP(M×M)|=16

A: It is a set and relation problem

Q: At what latitudes is the Moon always above the horizon when the Moon is minimum and maximum elongati...

A: In this question we have to find the position of moon with respect to equator line.

Q: 23)

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Q: 13 A triangular lot bounded by 3 streets has a frontage of 300 feet on one street, 250 feet on the ...

A: We can solve by cosine law as follows

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Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) = ...

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Q: d two positive numbers such that the sum of the first number and twice the second is 108 and ir prod...

A: Given query is to find indicated unknown number.

Q: Find the derivative of the function. h(s) = -2/7s2 + 9 h'(s) =

A: Solving the problem by finding the derivative of the function.

Q: 3 In (sec v) 2t Evaluate the integral ex dx dt dv. 00

A: Topic = Integration

Q: 3. Use integration to determine the formula for the "equatior: given that : F(t) = ( 2t , 12e" , sin...

A:

Q: find the difference quotient for: f(x)=5x - 2x2

A: The formula of difference quotient is given by  D=f(x+h)-f(x)h

Q: Determine whether the variation model represented by the ordered pairs (x, y) is of the form y = kx ...

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Q: 2x+3 (1) Find the domain of the function H(x) = x' - 4x (2) Solve the following (i) |10–3x|517 (ii) ...

A: Topic = Functions

Q: Use one of the limit definitions to find the derivative of f(x) at x = 2. f(x) = 4x2

A: Explained below

Q: Select the correct graph, showing f and g are inverse functions. f(x) = /x - 3. g(x) = x² + 3, x 2 0

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Q: 3x2 dx x3 - 8(у + 1) %3D 0 y+1 dy

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Q: Assume f and g are differentiable functions with h(x) = f(g(x)). Suppose the equation of the line ta...

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Q: 1. Find the derivatives of each of the following functions. (a) f(x) = cos x In r O (z) = In(cos a) ...

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Q: Using Demofer's Theorem

A: