ArcTanx — х 1) lim x→0 х3 Тапx

Q: 1. a. Show that two lines with direction vectors d (2,3) and d, (6,-4) are perpendicular %3D b. Give…

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Q: You are stationary on the ground and are watching a bird fly horizontally towards you at a rate of 2…

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Q: evn+2 2+3 n=1

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Q: 23л Find the exact value of sin 12 23л State the exact value of csc 12

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Q: YA x= y² – 4y (-3, 3)- x= 2y – y²

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Q: If the 6th term of an arithmetic sequence is 63 and the 14th term is 135, write the formula for the…

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Q: The power series representation of 8. f (x) = x +7 centered at x = 2 is: 8 8 8 8 (x-2) + 81 (x-2) 2-…

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Q: Consider the lines x = -1+ 2s х — 5 l1 : 3 - 2 and l2 : y = s 4 -2 z = 5+ s а. Find the coordinates…

A: The three parts of the problem are solved in the next three steps.

Q: -2 is a critical number of the function f(x) = /2x – x². - Select one: O True O False

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Q: by rotating Find the Volume oF the solid obtained bounde d by und X=4 y=o rotating y= 8 on

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Q: The rectangular coordinates of a point are given. Plot the point. (-3/7, -3/2) -6 -4 -2 6 -6 -4 -2 4…

A: Given query is to plot the point and find the polar coordinates.

Q: 9х1 +5х* +2 3x- 3х-2

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Q: For the parametric equation shown below, determine the value of (dyldx) and (d?y/dx?). x= 3t? – 4t+2…

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about…

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Q: In each part, evaluate the integral, given that SIx - 61, x 2 0 f(x) : x + 6, x < 0 ' %3D

A: The solution is given in the next steps.

Q: x = -2t Given: line l1 : 3 1 – y = Z - 8 and l2 y = 2 + 2t z = 6 + 2t %3D 1. If the given lines…

A: The solution is given in the next step.

Q: Select the correct answer. What is the value obtained by using left endpoints with n= 4 subintervals…

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Q: 2. For the parametric equation shown below, determine the value of (dy/dx) and (d²y/dx²). X = 3t? –…

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question. Please…

Q: Find p1 and p2, the prices per unit (in dollars), so as to maximize the total revenue R = X1P1 +…

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Q: explain

A: We will check whether fundamental theorem of calculus applies.

Q: _1. What is the integral that describes the enclosed region between y = 4x- x and the x- axis ? A.…

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: set D: Problem #G Find the eauation OF the Iine tangent to F Cx) = cos? x - Sin? (x) at X 3r %3D 4

A: To find the equation of the tangent line at x=3pi/4.

Q: lim X- Sin X X3

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Q: Using Linear Approximation, determine the approximate value of the following: Final answers must be…

A: Topic:- application of derivatives

Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

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Q: The power series representation of 8. f (x) = x+7 centered at x=2 is: O :- 8 8 8 8 81 (*- 2) + (x-2)…

A: Topic = Series

Q: Find the net signed area between the graph of the function f(x) = |x+ 3| – 4 and the x-axis over the…

A: Here the area can be found by dividing the entire part in small triangles and adding the respective…

Q: Find the length of the curves in Exercises 1-4. |1. y = (1/3)(x² + 2)³/2_from x = 0 to x = 3 2. y =…

A: Note:According to the policy of our company we will solve the first three sub questions. If you need…

Q: 5. Find the solution of the following initial value problems. F'(u) = 4cosu – 3, F(0) = 4

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. (-9)" n2 n- 1…

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Q: Select the correct answer. What is the value obtained by using left endpoints with n= 4 subintervals…

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Q: f36-y (x +y?) dx dy 6 36 - y- 0 0

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Q: Select the correct answer. The graph of the function fx) = x3 defined over the interval [0, 1] on…

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about…

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Q: Calculus What is the inverse of f(x)= x^3 +x -4

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Q: Find all the second order partial derivatives of the given function. f(xy) =xy° +y¢* +5 O A. f = 2x,…

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Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. You must show your work.…

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Q: Find f5(x) if f(x)= 3√3x+2

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Q: Sólvé thé équátión ón the interval U30<2T. 0<2x. 4 sin 0 + 5 = 7

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Q: Evaluate the double integral over the given region. 9x sin xy dA, R: OSXST, Osy<1 R

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Q: 3 dy dx 0 - 2x

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Q: Find the Taylor polynomial of order 3 generated by f at a. f(x) =x, a = 3 %D O A. P3(x) = 1 + 6(x-…

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Q: Assume that the situation can be expressed as a linear cost function. Find the cost function. Fixed…

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Q: A supermarket sells two brands of granola: brand A at $p per pound and brand B at $q per pound. The…

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Q: S Зх-7 dx 10х2+3x+11

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Q: x = -2t 1- y = z – 8 and l2 2 - 3 Given: line lı : 4 y = 2 + 2t % = 6 + 2t 2. Find the equation of a…

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Q: By considering different paths of approach, show that the function below has no limit as…

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Q: Find the solution of the given differential equation

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Q: Solve the equation on the interval 0s0<2r. cot 0+ 3 =0

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Q: 4 Which formula would be used to calculate the trapezoid approximation of L dx using five…

A: We have to use trapezoidal rule. Option B is correct.