Use the information to find and compare Ay and dy. (Round your answers to four decimal places. y = x4 + 7 x = -5 Ax = dx = 0.01 Ay = dy=

Q: You are given the following information. Function: f(x) = -4x² + 5 Point: (1, 1) (a) Find a unit…

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Q: a. lim f(x) = x→∞ b. lim f(x) = x→ ∞ c. lim f(x) = x 4 d. limf(x) = x→→-1/5 e. lim f(x) = x+3 -12 -9…

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Q: ← Convert the following equation to Cartesian coordinates. Describe the resulting curve. r= 6 cos…

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A: Please seethe below answer.

Q: Consider the following. 8 L²x³, x³ dx = 1,020, 8 Lºx x dx = 30, 8 [³ (8x -1³) dx in terms of the…

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Q: Find the area of one petal of the graph r = 3 sin 40.

A: NOTE: Refresh your page if you can't see any equations. . here we need to find the area of one…

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A: Given vector function:- rt=t2i+t3j

Q: Find dx dx 2x r = f cos (?)dt 11

A: y = ∫x2πcos( t2 )dtwe want to find out dydx= ddx∫x2πcos( t2 )dt

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Q: Use the definite integral to find the area between the x-axis and f(x) over the indicated interval.…

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Q: d the differential dy of the given function. (Use "dx" for dx.) y = 5x - (sin(x))² ||

A: Given query is to find the differential.

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A: We are required to evaluate∫04316-s2ds

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A: We are required to find if the series ∑n=1∞11n-61+12n converges or diverges. We are also required to…

Q: Find the length of the curve if x (2t+3)², y=t+t²/2. 0≤t≤3. 3

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Q: Evaluate the following Laplace transforms by using the formulas listed in the table of Laplace…

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Q: The sets F and E are given below. F = {a, f, g} E = {e, g, j}

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Q: √r r→9 (r (r — 9)4 31. lim

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: 1. L{e¹2t}

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Q: 806 Chapter 14 Multiple Integrals It does not apply to regions with complicated holes through them,…

A: Let's find radius value.

Q: (c) T/2 πT 3 cos* r sin rdr

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Q: 3x ſ¹ S³* S*** ( 3x + 4y − 5z) dy dz dx - -2x x-z

A: The given integral is  ∫01∫-2x3x∫x-zx+z3x+4y-5zdy dz dx

Q: A. Find the Laplace transform of the given function by using integral definition. 1. f(t) = -3

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Q: Which Vector Integration technique/theorem should you use for the problem below? Please use complete…

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Q: ind the Maclaurin Series for f(x) =1/(1+8x) and its interval of convergence.

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Q: 5x50 3 £ =ㅅ

A: The given curve is  y=x33,  0≤x≤3

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Q: Current Attempt in Progress Find the average value of f(x) = Enter the exact answer. fave = X…

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Q: Problem 2: exactness of the DE 3x(xy-2)dx + (x³ + 2y)dy = 0

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Q: Evaluate. [(5x³) dr = | antidifferentiation) +C (You do not need to enter a constant of

A: evaluate    ∫(5x3)dx   formula ∫(xn)dx=xn+1n+1+C

Q: x+3 20 Find the linearization of f(x)=1-S 2² x+3 The linearization of f(x) = 1 - S 8 8 20 2+t dt at…

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Q: 2. If f(x) = √2 +4x, find f(3) of definition x → f'(3) using the , derivative. If" (3) is the limit…

A: Let's find value of f'(3) by using derivative of definition.

Q: A rock is thrown upward from a bridge into a river below. The function f(t) 16t² + 48t + 134…

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Q: Find the series' radius of convergence. (x-2)" Saman Σ An=0

A: Given series:- ∑n=0∞x-2nn58n

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A: The given equation x29+y216+z29=1. We have to sketch the graph of the function.

Q: 10. Use Law of Cosines to solve A = 108°, b = 89.2, and c = 23.1 a² = b ² + c² a² cos B = 2bc cos A…

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Q: A) Rational function that is the opposite of the given function. B) Coordinates at the origin of the…

A: f(x) = x2 - 2x - 15 Part (A), The rational function that is the opposite of the given function =…

Q: Use logarithmic differentiation to determine y'(x) when Select the correct answer below: O y'(x) = O…

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Q: Using undetermined coefficients a.) (D² - 6D+8)y = e2x + sinx

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Q: (d) Given tant =, find csco, cos0, sec, coto, sine if 0 is in Quadrant III. Answer: cote = cose ==…

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Q: Find a power series representation for the function = x sin(5x) on (-∞, ∞).

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Q: Find the gradient of the function f(x,y)=6y-5x at the point (8,2). that passes through that point.…

A: Please see the below picture for detailed solution.

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A: Given: a pathway running tangentially to a perfectly circular lagoon is to have a branching at a…

Q: Evaluate using L'Hôpital's rule. (a) lim(x + 1)² 21 (b) lim re 24x

A: Let's evaluate given limit by using L'Hopital's rule.

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A: Given query is to find the future value.

Q: i. A population of Transylvanian Chihuahuas has a natural annual growth rate of 12%. The population…

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