Find f"(1) if fx) = x- 2x+ T. O 3n? - 2 O 31? – 1 12 - 21

Q: (-1)" V2n2 + 5 Given: power series > (x + 1)" n=1 ii. Find the interval of convergence of the power…

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Q: Find the 0lar eauatiDo for the curve represented by the given Cartesian euation.

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

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Q: A firm produces two types of calculators each week, x of type A and y of type B. The weekly revenue…

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Q: full

A: We have to determine the given series is converges or diverges according to the given information

Q: Let a = ci + jand b = 7i + 49j. Find c so that a and b are orthogonal. C = i

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Q: x2-1 1- S (Solve it using integration by partial fractions) x2-16

A: According to the guidelines in case of multiple questions, We are only allowed to do first question.…

Q: 6a2 + 23x – 9 The antiderivative of f (a) = is F (x) = a ln (læ + 3|) + bln (Jæ) + dln (r- 1) +Cthen…

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Q: Find the directional derivative. g(s,t) = s√t , (2,4), v = 3i - j

A: Given:         g(s,t) = s√t ,         Point: (2,4)         v = 3i - j

Q: u(x, y) = e*cosy + x² – y² finde the harmonic utilities

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Q: Determine if the improper integral (1 e" )2 dx converges or diverges. If it converges, find its…

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Q: Find the coordinates of all points on the curve x^2 -2y^2 = 5xy-33 where the curve has a horizontal…

A: x2-2y2=5xy-33 →(1)Horizontal tangent slope is 0Differentiate (1) w.r.t…

Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

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Q: 3. (2x - 2)dx

A: Follow the procedure given below.

Q: What is the shortest distance from the point (4,0, 5) to the sphere (x – 1)2 + (y + 2)2 + z² = 36?…

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Q: 3. (sin0 + cos€)²d0

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: An object moves with acceleration function a(t) = 5 + 2t – 9t². Its initial velocity is v(0) = 6 m/s…

A: Find out the position after t seconds.

Q: -бх + 9 3. V6x – x² хр

A: We have to find the given integral.

Q: H.w Pind the ro.t when [!,3} by Disection?

A: We have to find the root using Bisection method.

Q: rln 2 e2" sec-'(e²)dx 0.

A: Answer is in below steps.

Q: For the functionf(x) given below, evaluate lim f(x) and lim f(x). x00 X→ー0 f(x) = -5x - 3x + 2 cos…

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Q: 1/x ,2 xp -0-

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Q: S (2x² + 3)dx S(5 +) dx 4.) 5.)

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Q: а a а а а а а а 00 a a 0 0 a a a 0 00 0 а

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Q: Evaluate the following limit: (x- 2)2 – 4 | lim If it does not exist enter DNE.

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Q: 1Evaluate the ff. integrals using either integration by pants, trigonometric integrals , trig on o…

A: As per guidelines of bartleby, we are instructed to solve only first 3 subparts of a problem.

Q: 2x2 +S

A: We have to check whether the given integral is divergent or convergent.

Q: 3. Determine the following a A negative angle in radian measure coterminal to Show calculation steps…

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Q: The concentration of a drug t hours after being injected is given by C(t)=0.8t / t^2+68. Find the…

A: This question can be solved using the concept of maxima and minima.

Q: In(arctan(x)) da 1+ x² 1

A: Given that a integration and we solve this integration by using general formula of integration.…

Q: In item number 5, the integral of Sx3 dx is obtained by applying what Basic Theorem of…

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Q: Evaluate the following iterated integral. 2 16 15y dx dy 2.

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Q: Find the absolute extrema of the function on the closed interval. y = 4 cos x, [0, 27] Step 1 The…

A: topic -application of derivatives

Q: A. LINEAR EQUATIONS WITH CONSTANT COEFFICIENTS 6. (D5 – 16D³)y = 0 7. (D² – 2D + 5)y = 0

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Q: 1 sin? (0)d0 2

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Q: Q3) Evaluate triple integral dz dx dy.

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Q: If the increase in the side of a square is 2%, find the change in the area of the square using…

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Q: Find an equation of the plane through (4, 1, –4) that is perpendicular to the line x – 2 = 5t, y+3 =…

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Q: 5. What are the coordinates of the centroid of the area bounded by y = x² +2, x-axis (ory = 0), x =…

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Q: Please answer both items. Thank you so much!   Activity 1. Use a directed line to represent the…

A: Given,            v = (-2,3),           u = (-3,-4)

Q: sequence

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Q: Integral

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Q: 2. Consider the sequence (n+2)!. n=1 a. Show that the given sequence is monotone. b. Use the…

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

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Q: (a).x = 61, y = - 4 + 7t O (r, y) = (0,4) + «(6, 7) ai + bj = 4j + 1(6i + 7j) O (1, y) = (6, 7) +…

A: topic - equation of a line

Q: (-1)" Given: power series > (x + 1)" 2n2 +5 n=1 Find the interval of convergence of the power…

A: To find the radius of convergence we will find first limn→∞an+1anthen equate it to less than 1

Q: Sketch the region in the plane consisting of points whose polar coordinates satsfy the given condi-…

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Q: Find the polar eauation for Hhe curve Cartesianm eavation. represented by the given 2.

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Q: From Rogawski ET 2e section 10.3, exercise 10. Use the Integral Test to determine whether the…

A: Given problem:-

Q: Direction: Find the antiderivatives of the following functions using substitution rule. 1. S(5x +…

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