2/ Find the value of the limit: lim x/*,

Q: The series 1(-1)" converges to 0. True False

A: We have to find if the given series is converges.

Q: In Exercises 1-4, solve the given initial-value problem. (For Exercise 3, you may "complexify" the…

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Q: Evaluate the indefinite integral. Sa V1 - a? dæ cos° 0 – cos 0 +C 3 - 5/2 (1-22)이2-3 (1- 22)이2 +C. |…

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Q: y

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Q: 16 In general conic form, what is the equation of the circle whose center is at the origin and…

A: The general equation of the circel with center (h,k) and the radius r is given by:…

Q: S cos³ 3x dx со

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Q: 10 The conic whose equation is x 2 + y 2 = 36 is a point-circle a circle an ellipse

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Q: Calculate the derivative (implicit derivative): y + 19xy = Cos(7x³ - 5y) |

A: topic - implicit differentiation

Q: Find T(t) and N(t) at the given point. r(t) = (t – 2)i + tj; t= 2 T(2) = N(2) =

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Q: 6 Write the equation in general conic form of the circle with center (2, 3) and r = 7 x 2 + y 2 -…

A: To write the equation of circle with the given center and radius.

Q: dy Suppose ax 3 and y( ) = 2. 1+9x2 3 T What is y( 4 )? Оп O 2.261 O 2 IT 4

A: See below the answer and calculation

Q: Find the exponential function y = Cekt that passes through the two given points. y = y (0, 7) 6- 5 4…

A: Given query is to find the function.

Q: The series 1 k ln k k=2 converges. Choose an option: ()Real ()False

A: Integral Test : Suppose that f(x) is a continuous , positive and decreasing function on the interval…

Q: Two people who want to meet each other will show up independently at a random time between 7am and…

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Q: 10 Consider the function f(x) Let F(r) be the antiderivative of f(z) with F(1) - 0. Then F(z)

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Q: The graph ofr sec 0 = 4 is the graph of a circle. True False

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Q: dy Suppose 9 x²– 2 ( 3 x³-2x+3) and y(1) = 3. dx What is y(2)?

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Q: ||r'(t) × r"(t)|| ||r'(t)||³ Use the formula k(t) = to find «(t). r(t) = e""i+ e'j K(t) =

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Q: Find the profit function for the given marginal profit and initial condition. Marginal Profit…

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Q: {(1-9*"} bn a,b e R n

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Q: Consider the region bounded by x = 3y and x = y^3. A solid is formed by rotating the region about…

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Q: B. Solve for the integrals of the following: 3x2 dx -5 COS xesinx -dr c) ] 4 4x a) b) dx esin z

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Q: Find a Taylor series representation of f centered at a=3 f(x)=1/(1+x^2)

A: Given

Q: Let ü = and v =. If üxi = then determine the value of 3A+B+C. Yanıt:

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Q: 2. (6x-2) dy d2

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

Q: Section 1.8 In Exercises 1-4, solve the given initial-value problem. (For Exercise 3, you may…

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

Q: 5 3 + s2-8 s2+ 3.

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is…

A: This question is related to infinite series, we will solve it using given information.

Q: 11. Find the slope of the tangent line t = 2. Show all your worka x = v2t, y =t %3D t

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Q: As x gets closer to zero, tan2x/ln(1+x) gets closer to what value?

A: This question can be solved using the concept of L HOSPITAL,'S RULE.

Q: Find the area of the blue region. It is the area under the curve. 8 y = 3 x + 1 4 y =7– x 2 4 6 8.

A: This question can be solved using the concept of area under curve.

Q: Consider the region bounded by x = 3y and x = y^2. A solid is formed by rotating the region about…

A: We have to set up the integral to find the volume.

Q: 2. Sin 2x dp X UIS 6.

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Q: Find f'(÷) for f(x) = 2 sin z cos x

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Q: The difference between f'(3) and f'(x) is that f'(3) is a numerical value and f'(x) is a function of…

A: Explanation of the answer is as follows

Q: 4х+5 f(x) = %D 9-3х А. х 3 -1 B. x =0 С. х 3 3

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Evaluate (2x - y) dx + (x + 9y) dy. C: x-axis from (o, 0) to (0, -9) and (0, -9) to (5, -9) 589 2

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Q: Admission to a baseball game is $3.00 for general admission amd $4.50 for reserved seats. The…

A: Let, x be the number of general admission tickets.  y(=1357-x) be the number of reserved tickets.

Q: sin u cos v

A: This is a product to sum formula. This is a direct formula and here I m providing the formula onthe…

Q: (a) Find parametric equations for the line through (5, 4, 6) that is perpendicular to the plane x -…

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Q: 27x2 + 9y2 - 81 = 0 %3D

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Q: Find the derivative of f(x) = log, (7x). (Use symbolic notation and fractions where needed.) df dx…

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Q: Suppose that total cost is given by C(q) thousand dollars when q million units are produced. What…

A: Given query is to interpret the marginal cost C′(25) = 4.

Q: What is the largest value of x for which the series (x- 3)" n°87 is absolutely convergent? Yanıt:

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Q: In Exercises 1-3, find the general solution of the differential equation specifie lip 2. dt 1+t

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Q: Find the average value of the function f (x ) = in the interval %3D [1, 4] Express your answer as a…

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Q: n? n5 +2 n=1 WI

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Q: QUESTION Determine the length of the missing side of the right triangle below. Round your answer to…

A: The given triangle is:

Q: What are the foci of this conic section?

A: We have to find the foci of the given hyperbola.