E(-1)"- п — 1 n=2

Q: Compute the total cost per year of the following pair of expenses. Then complete the​ sentence: On a...

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Q: Evaluate lim f(x+h)-f(x) h-0 where f(x) = 2– 3x². h O -3x -6x O 6x O None of these

A: The given function f(x)=2-3x2

Q: 5. For f(x) = 2x + 8 and g(x) = 4 - 2x, determine the domain of f(g(x)) %3D SESEASAN

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Q: 2x2 + 4x-30 Below is the graph of f (x) x2 -9 -6- -5- 3 2 10 -9 -8 -7 -6 -5 -2 2 -3 Evaluate the fol...

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Q: The radius of a spherical balloon is increasing at the rate of 0.7 cm/minute. How fast is the volume...

A: We have to determine volumes of sphere changing rate

Q: y sec2(tan-ly²) dy 1+y+ tan ( tan-ly²) + C A) True B False

A: We have to find the value of the integration  ∫ysec2tan-1y2dy1+y4 we find the value of the integrati...

Q: Sketch. the.region.cf.integratizin.and.evaluabe. thaw .. fallowing. integrals a ..... in2 Ins 2X-년 A...

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Q: Derivative of h(x)= (x+5)^4(2x-1)^2

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

Q: nd an equation of the plane that passes through the given point and is perpendicular to the given ve...

A: Given point P(2,6,-9) i.e. x1=2, y1=6 and z1=-9Given vector is n=j i.e. c=1We know that equation of ...

Q: L:x = 2 – t, y = 3 + 4t, L2: x = 4t, y = 1 – 16t, z = 4 – 8t z = 4 + 2t

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Q: Determine whether the following series is convergent or divergent: (4n)2n evnn2n n=1

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Q: A rock is thrown into a still pond. The circular ripples move outward from the point of impact of th...

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Q: Using least squares regression criteria, find the line (form y = ax +b) that would be the best fit f...

A:   X Y XY X2 Y2   1 2 2 1 4   3 4 12 9 16   5 7 35 25 49 sum 9 13 49 35 69     X¯ =1n Σ Xi...

Q: 1. Answer the following question? A Let f '(x) = x - 2x – 3. For what value(s) of x does f(x) have a...

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Q: Let f(x) = 11x²(x – 5) + 13. Find the critical points e that correspond to local minima. (Use symbol...

A: Let's find. 

Q: -2 V2x - x² dx

A: The given integral,       ∫022x-x2 dx

Q: In 1980, the population of alligators in a particular region was estimated to be 1300. In 2005, the ...

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Q: [9] Suppose x is a particular real number, and let p, q, and r symbolize “-23

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Q: 2. Determine f'(-1) for the function f(æ) = (x" – 2r° + 1)(x³ + æ -- 2). 8 (B) 12 (C) 14 (D) -4 (E) ...

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Q: 1 Evaluate lim(cos0)1-cose

A:   It is given that, limθ→0cosθ11-cosθ. Let y=cosθ11-cosθ.   Take log both sides the above equation. ...

Q: Find the formula for the nth term of the arithmetic sequence. a1 = 11, d =

A: Given query is to find the formula for nth term.

Q: 5. (2y- 3x)dx + xdy = 0

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Q: Prove that fxy fy x for the following: %3D f = e + x Lny + y Lnx f = xy 2 3 + xy4 f = Ln ( 2x + 34)

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Q: If g(x) = Cos x – Sin x 7n a) Find g() and g () b) Show that g (5+ x) = g(n – x) 8

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Q: Determine the intervals on which the function is concave u у 3 19х? + In(х) (х > 0)

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Q: Use differentials and the graph of f to approximate the following. (Round your answers to two decima...

A: The graph of f is linear near the point (6, 4) and approximately coincides with the line passing thr...

Q: Consider the graph of fshown below. Use the graph to determine the following. If a quantity does not...

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Q: Use polar coordinates to find the volume of the given solid. Under the paraboloid z = x2 + y2 and ...

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Q: Sketch the region enclosed by the given curves. y = x* - 15x?, y = x? 20 4 40 -6 -2 6 2 -20 20 -6 -4...

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Q: Prorate the following expenses and find the corresponding monthly expense. Lan pays a semiannual pre...

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Q: Find the lim(-). 4 x→2x-2 x2-4 3/4 None of these O 1/4 O undefined

A: We have find lim above question 

Q: A child is flying a kite at a height of 40 ft, that is, moving horizontally at a rate of 3 ft/sec. I...

A: Given:      Height of kite =40 ft      Rate of moving kite =3 ft/sec      Length of the string relea...

Q: With

A: As per the guidelines we can solve 3 parts only. 

Q: 1. lim 3" 5. lim tan r 2. lim 5 6. lim cos r 3. lim log r 4. lim cos r 7. lim sinr

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Q: 2. Use the Mean Value Theorem to show that f(x) = 2x sinh(x – 1) + 2" – x has a critical number betw...

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Q: /(cos0 + tan@) de cos?0 - (sec@ + tandsec²0) d0 A) True B False

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Q: Consider the function f (x) = re. Answer each question, showing your work. A. Using derivative analy...

A: Explained below 

Q: * 00 The size of a certain insect population is given by P(t)= 300e OLr, where t is measured in days...

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Q: Suppose that Po is invested in a savings account in which interest is compounded continuously at 6.5...

A: The balance P (in $) grows at a rate (per year) is given by, dPdt=0.065P(t) ............. (1)

Q: У7" — 1)" (10.х n=0

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Q: 2. Evaluate. th fallowing.integrals.a.fte..seueo.ing.the arder.af.integratren. dyd x Ans..In7)4 .0.t...

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Q: Evaluate the following using trigonometric substitution: dx V25 + x²)

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Q: 1. we have to evaluate the following integrals 4 dy de a. How did he get the value inside the circle...

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Q: A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a...

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

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Q: 2. Determine if the series n (-1)³n n4 +1 n=1 absolutely converges, conditionally converges, or dive...

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Q: 4x Estimate the error in the quadratic approximation of f(x,y) = e sin y at the origin over the regi...

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Q: 3. 2- 1- ol 1 4 Let R be the region bounded by the graph of y = Va – 1, the horizontal line y = 2, a...

A: As shown taking the horizontal stripe x changes from 1 to y2+1 because  y=x-1⇒y2=x-1⇒x=y2+1

Q: Calculate the producers' surplus for the supply equation at the indicated unit price p. (Round your ...

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Q: Given the function f(1) = e2' cos(3 1) Use the Laplace Transform table to convert this function into...

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