The general term for the sequence 2, -6, 18, ... is

Q: Step 1 • 1² -√² f(x) dx = 3 Note that Step 2 To evaluate Therefore, fax) f(x) dx, substitute frox…

A: Find integration of f(x), x from  3 to 6.

Q: . lim 8118 2x³ √√x+4x7-2x²-1 V

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Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

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Q: Calculate the values of the following integrals? a. b. ö 6x² -2 2x³+10 f xln x dx fx=1dx x²-4 dx

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Q: compute delta y and dy for y=f(x)=1/sqrt(x^2 +1) when x=2 and delta x is 0.1. please round delta y…

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Q: Find the following matrix product, if it exists. -1 -3 4 -5 3 8 Select the correct choice below and,…

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Q: Determine the derivative of the following function. f'(x) = f(x) = (x7 +19)7

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Q: solve the differential equation y'=x(-x+y)

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Q: 00 Sa - 00 -x2 xe dx

A: To Solve the given problem...

Q: Suppose your demand function is given by D(q) - q² - 2q + 569, where q is thousands of units sold…

A: This is question of calculusHere linear equation is given We have to find further value from this…

Q: Use the graph of the function y = 4 function is increasing or decreasing. 10 -10 -8 -6 -A -R -2 -4…

A: The function f(x) is said to be increasing in the interval The function f(x) is said to be…

Q: Differentiate the function. y = (2x² − x + 1) (-x5 + 3) y' = 5

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Q: USE INTEGRATING FACTORS I. Find the General Solution: Answer is already given. 3. y' = x - 2y Ans.…

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Q: (x), label asymptotes an 5. f(x) = x¹/2 ty (1) lim f(x)= 310 (2) (c> 0) lim f(x)= In calculate the…

A: According to guidelines I can answer only 2 of them.

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

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Q: With what initial velocity must an object be thrown upward (from a height of 2 meters) to reach a…

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Q: Suppose ƒ(3) = −3 and ƒ'(3) = 5. Find the following. 6x²9x- ef(x) -4) at 2=315 is d dx d ·(ƒ(x)…

A: f(3) = -3 and f'(3) = 5 , these are given.

Q: Match the following guess solutions y, for the method of undetermined coefficients with the secon…

A: The given differential equations

Q: For the following trajectory, find the speed associated with the trajectory and then find the length…

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Q: Evaluate the indefinite integral Ss sin³ v cos¹vdv = + C

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Q: Determine the derivative of the following function. f(x) = (x⁹ +5)8 f'(x) =

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Q: A tank contains 2580 L of pure water. A solution that contains 0.05 kg of sugar per liter enters a…

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Q: Write a definite integral that yields the area of the region. (Do not evaluate the integral.) f(x) =…

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Q: A function f is defined below. Use geometric formulas to find f(x) √2, - X, = 4 frª FCX 6² x < 2 x ≥…

A: We have given,    Integrate f(x) dx from 0 to 4.    f(x)= 2 when x &lt; 2    f(x) = x when x&gt;=2 .

Q: Find the relative maxima of f(x) = cos² (7x) on the interval (0,1.795) by applying the First…

A: To find the relative maxima of  on the interval by applying the first derivative test.

Q: If x = 3 cot θ, use trigonometric substitution to write (sqrroot of 9) + x^2  as a trigonometric…

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Q: Solve the IVP. (sin x) y'=(cos x) y+1, y4=0

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Q: Find the derivative of g(a) 32x-1 5 1 6x²-3x+1/

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Q: Polynomials and Rational Functions If P(x) and Q(x) are polynomials and Q(c) = 0, then ● ● limP(x) =…

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Q: 2. An object weighing 27 pounds is thrown downward with a speed of 2 ft/sec and falls to the ground…

A: weigh of the object = 27 poundsdownward speed = 2ft/sWind resistance = 3% of the square of the…

Q: An arithmetic sequence has 12 terms. If the first term is -3 and the twelfth term is 117, then the…

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Q: Use the shell method to set up an integral that computes the volume of the solid generated by…

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Q: dw For the given functions, (a) express as a function of t, both by using the Chain Rule and by…

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Q: Show that (csc(x)) = −csc(x) cot(x). dx (csc(x)) dx = = d dx = 1 sin²(x) 1 sin(x) = -csc(x) cot(x)…

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Q: How many of the following functions have a derivative of zero? A. y = √8 D.y = 12- G.y=0 x 16 B.y =…

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Q: zy² cos(y) 4x²+y¹ 0 if (x, y) = 0 if (x, y) = (0,0). Determine the set of points at which the…

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Q: Differentiate the function. f'(v) = f(V): = √√v-3ve"

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Q: Solve the differential equations (y - 2)dx - (x -

A: Since we have multiple number of questions and answers will be according to the guideline

Q: Approximate Si de using the midpoint rule with three subdivisions to four decimal places. In(r) The…

A: We have given,  Limit:  2 to 6;  Function: ( 2 , 6 )Number of subdivision: 3

Q: Determine the derivative of the function: O A) ƒ¹(x) = f(x) = tan(x³+1) x² 3x³ sec² (x³+1)-2…

A: To determine the derivative of the following function.

Q: Determine the length, to 1 decimal place, of the arc that subtends an angle of 1.5 radians at the…

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Q: let y = 2sqrt(x) a. find the differential dy = _____dx b. find the change in y / delta y when x = 3…

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Q: u dx + (1 -3u x du = 3u2e3u du 3u)x

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Q: Find the following matrix product, if possible. 23][[: 4 2 4 O A. 64 Select the correct choice below…

A: [2 -2  ([6 4       + [6 0  4 -4]    1 5 ]    + -1 2].

Q: Express the sum x-x² + x³ + x¹+x5-x + x² + 8 +.... An in terms of geometric series (hint: group an,…

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Q: Find the following limit or state that it does not exist. lim X→1 X-1 Select the correct choice…

A: Let,

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

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Q: Consider the following function: f(x) = (x + 5)² (a) Express the derivative of f(x) at a point x =5…

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Q: Which of the following integrals can be integrated using partial fractions? Select all that apply.…

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Q: Find the indefinite integral. (Use C for the constant of integration.) 13 12 dx 1+ 4x²

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