3 of 20 Select the best answer. (2e + 1)ª lim z+00 (tan(x))- O DNE

Q: 15 of 20 -722 –8x =? limz→00 3–72²+6x+6 O Does not exist O 00 O 7

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Q: Write the sum using sigma notation: 8 + 12 + 16 + 20 + ...+ 36 = ) B, where n=1 A = B =

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Q: 2x³+2x+7x²+9 2x+3 6- 2.

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Q: a. Examine the function. Determine the key features. (C4) i. Domain (1, 2.7) ii. Range iii. Sign of…

A: Given problems:-

Q: . Evaluate the double integral S, S f(r, 8) dA, and sketch the region R. 5. S/² s V9 – r² dr d®

A: Let's find.

Q: Given t2 – 4 f(x) = dt 1+ cos2(t) At what value of x does the local max of f(x) occur?

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(x) = t3+3°dt f'(x) =…

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Q: Find the area bounded by y = x+ 4 and y = x2- 2. Answer:

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Q: 1) Find the first 8 terms of the recursive sequence. =-3 2,a

A: The given recursive sequence is;  an=an-1 - an-2.

Q: Use Newton's Method to approximate the root of x In r 2 accurate to five decimal places. Begin by…

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Q: Find the Taylor polynomial of order 3 generated by x at a. 1 f(x) -, a = 0 x+6

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Q: Find Σ +i . Ο 30 Ο 31 Ο 32

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Q: For each problem, use implicit differentiation to find dy/dx in terms of x and y.

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Q: Let the region R be the area enclosed by the function f(x)= x³ – 1, the horizontal line y = -4 and…

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Q: dy Find for y = dx V7 – x2 dy dx

A: Differentiate  y with respect to x

Q: A dietitian at a hospital once a patient to have a meal that is 64 g of protein, 44 g of…

A: We need to find How many servings of each food should be given to the patient.

Q: The point is on the terminal side of an angle in standard position. Find the exact values of the six…

A: pythagoras theorem hypotenuse=altitude2+base2 given altitude y=-4     here altitude is a side which…

Q: Find the exact value using a sum or a difference identity. SHOW ALL WORK– include the formula,…

A: cos(225°) here 225° = 180°+45° cos(225°) = cos(180°+45°) cosθ is negative in the 3rd quadrant since…

Q: Use Disk Method only Find the volume of the solid formed by revolving the region bounded by the…

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Q: How do you do optimization in calculus? List all steps

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Q: Determine the slope of the tangent line to the ellipse 5x? – 6xy + 5y² = 16 at the point P(-1,1).

A: Follow next step

Q: Condense the expression to the logarithm of a single quantity. log (x + 1) + 2 log3(x - 1)] + 6 log3…

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Q: g(x) If f(x) then h(x)'

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Q: x+3 Where is f(x) discontinuous? 2²+4x+3 О-3,—1 O -1 O -3 O f (x) is continuous everywhere

A: To determine the points where the given function is discontinuous.

Q: Determine a minimum radius of convergence of a power series solution about x 2 to (x2 + x)y" + 3y' –…

A: We can solve as follows

Q: - 47 f(x)dx = 12 - 51 | and - 47 |. 9(2)da = 20 – 51 and - 47 - I h(x)dx = 32 - 51 what does the…

A: We can solve the integral as below.

Q: 2x – 6 X + 3 If f(x) = { x- 3 then the li X 5 X = 3 a. 5 b. 1 С. 2

A: Given for x = 3 , f(x) = 5

Q: 17. If lim- X- 200 – 4n + kn² then k =

A: Given

Q: Evaluate the definite integral (10x + + 3)dr

A: topic- definite integral

Q: 3. lim X→n/2

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Q: 1. Differentiate and simplify. a. .2 y = 3x+3x ||

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Q: Consider the function f(x) = 8/a + 1 on the interval [4, 6]. Find the average or mean slope of the…

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Q: 2 ー (4-x²) dx -2

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Q: 1 - dx = x² – 6x+8 -4 +C х-2 (A) In x- 2 In 2 (B) +C - 4 (C) 극미(x-2)(x-4)|+ (D) n|(x-4)(x+2)|+c (E)…

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Q: Consider the differential equation xy" + 3xy' - 3y = 3x - 2x. (a) Verify that yi = x and y2 = x…

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Q: 3x² + 3 = In 5xy² 2

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Q: Solve the triangle. 3. B. 7. As 38.2° (Round to one decimal place as needed.) (Round to one decimal…

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Q: Determine the explicit formula for the nth term of the sequence written below. Note that the first…

A: To determine the explicit formula for the nth term of the sequence written below.14, 13, 25, 49,…

Q: Find Taylor series generated by f(x) = 3x5 -x* + 2x3 + x² - 2, at a = -1 %3D |

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Q: Give the symmetric equations of the line l perpendicular to the plane T : 5x – 2y = z+4 and passing…

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Q: Let T10 (x): be the Taylor polynomial of degree 10 of the function f(x) = In(1+ x) at a = 0. Suppose…

A: The possible value of x for which this approximation is within 0.001 of the right answer is 0 < x…

Q: Use the alternating series test to determine if the following series converges or diverges. E…

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Q: Find the sum by adding each term together. Use the summatlon capabilitles of a graphing utility to…

A: we have to find sum.

Q: True or False: If lim f(x) = 2 and lim g(x) = 4, then lim[-3f(x)² – 49(x)] = -4 %3| True O False

A: Given: limx→afx=2 and  limx→agx=4.

Q: Find the Taylor series generated by f at x = a. 1 f (x) a =3 4-x

A: Solve the following

Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

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Q: Evaluate the definite Integral by the limit definition. (x2 + 4) dx

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Q: 9) Find the vectors angle between the twe

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Q: Find the sum of the convergent series. 6 Σ 9n2 + 3n – 2 n = 1

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Q: What is the value of b in the following matrix equation? -3 11 a b O 26 +3 8 d 35 14 2 O 15 O 5 O 19…

A: Given query is to find the value of b.