(A) Find (jx curlū), grad (yzj • curlū) at น 7 = ({√Cos(1³² - x)) + ( x + ² } / + 20² k ze² where

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A: Standard equationy=asinbxhere|a| is amplitude2πbis period

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A: The given piecewise function, fx=2x+3 for x<15for x=1-4x+9for 1<x<34for x=3x-6for x>3…

Q: Determine s' (x) ifs (x) = x-7 + e-8a O s'(x)=x6 - e-8x O s'(x) = -7x-8 - e-8x-1 O s'(x) = -7x-8 -…

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Q: Evaluate the following integrals: 3.f 2. S dx 4 sin x-3 cos x cos xdx 2-cos x

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Q: was run to determine if there is a between hours of TV watched per day (x) and number of situps a…

A: Let's find number of situps person.

Q: Write z₁ and 2₂ in polar form. Z₁ = Z2 = Find the product 2₁2₂ and the quotients and (Express your…

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Q: Given that find the limits that exist. If the limit does not exist, explain why. a. lim [f (x) + 5g…

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Q: 1. S(√t -√√² + √√³) dt

A: solution ) ∫ ( t - t2 3 +t35 ) dt = ∫ ( t1/2 - t2/3 + t3/5 ) dt  we know that  ∫xn = xn+1/n+1  = (…

Q: Find y dx Please, expert, I do not have much money. Solve please 4.y=log10 (x4 + 3x² + 1) 5.y = log5…

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Q: g(x) = 10) Find the extrema for in [-5,-0.5] x² + 4x+4 X

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Q: A 100-gal tank contains X (X is 17 ) gal of fresh water with 0 amount of salt. At t=0 a brine…

A: Amount of salt changes per time =salt amount ×rate of incoming - salt amount× rate of outgoing

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Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

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Q: Write z₁ and 2₂ in polar form. Z₁ = Z2 = Find the product 2₁22 and the quotients and (Express your…

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Q: Find the derivative of the function. y = x²√√√49 - x² V y' =

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Q: 10 Calculate the slope of the secant line through the points on the graph where x = 1 and x = 3.…

A: f'(c) = [f(b) – f(a)]/(b-a).

Q: COS 7t 6

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Q: Write as a radical expression. 4) n 2

A: Write in radical form

Q: The unit vector of = [5, 13, 7] is: ( 5 13 0(5) 07 5 0 ਦੀ s, ਹਨ) √455' √455 7 455 93 ' v3 / Vi

A: We can find the answer in the below steps.

Q: Use the graph of f(x) = below to find a number & such that f(z)-0.5 = Number 1 0.7 0.5 0.3 O 2 X

A: Given graph :-

Q: √√3-1,√3+1,√3 The angle between the vectors √3- +1, √3 and [2, 2, 2] is:

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Q: 25. (x + 7)(x-1) = (x + 1)²

A: rule:  a+b2=a2+2ab+b2x+12=x2+2x+1

Q: Find the first and second partial derivatives of the function f (x, y) = 2x arctan (Use symbolic…

A: Given that f(x,y) = 2xarctan(3x/y). We find partial derivatives of this given function. We know that…

Q: 2. An object is placed in a room where the temperature is kept at a constant 60°F. The object cools…

A: An object is placed in a room where the temperature is kept at a constant 60°F.The object cools from…

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Q: 2/ Solve: (2 Sin () + C 2x-3 Then, Find the amount of (C) that is make the function continuous at x…

A: A function f(x) is continuous at x=a if (i) f(a) is defined (ii) limx→af(x) exists(iii)…

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Q: 3 5 10. Evaluate 32 a) 2 b) 8 င) 8 .. d) -8 ထု

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Q: For the following functions, state the domain of y, find dy dx and its domain. 279. y=sin-¹(x²) 280.…

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Q: 19) Find f' if f(x)= sec² x 83√x

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Q: By choosing x, find a maximum of xre-x, if r>2, otherwise the function goes to infinity at x=0.

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Q: Match the equations of the surface with the graphs below. A D 1.9x² + 4y² + z2² = 1 2. x² - y² + z²…

A: The equations of the surfaces, 1. 9x2+4y2+z2=12. x2-y2+z2=13. -x2+y2-z2=14. x2+4y2+9z2=1

Q: 9. Which is a transformation applied to the base function of f(x) = (4x a) A vertical translation of…

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Q: Find a vector a with representation given by the directed line segment AB, where A(−5, 0, 1) and…

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Q: Determine the values of p for which the integral (x-4) s improper (A) p1 (p=0 (D) p=1

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Q: = Consider an arithmetic sequence with t2 = and to 13 3

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Q: A regression was run to determine if there is a relationship between hours of TV watched per day (x)…

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Q: If r(t) = −4ti + 6t²j – 4tk, compute the tangential and normal components of the acceleration…

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Q: 12 lo Slog, clox) dx 10 X

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: the p 35) A building 240 feet tall casts a 30 foot long shadow. If a person stands at th shadow and…

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Q: f(x) = 2x² + 3x

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Q: 4x² - 4x + 6 1x²³ + x² - 6x 3 use partial fraction

A: The objective of the question is evaluate the indefinite integral help of partial fraction.

Q: Introduction to Calculus in Economics: Calculus is a powerful tool used in economics. One of the…

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Q: 3. Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: 1-A) Express the result of the following complex number expressions in both rectangular Re+j Im )…

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Q: Find the derivative of the function. f(x) = 4 3 VX + 2cos x

A: To find the derivative of given function

Q: 2. How much money is needed to establish a fund that pays a research scholarship of $10,000 each…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: stimate the instantaneous rate of change of f(x)=logx at x= a) 0.000087 b) 0.0043 c) 2 d) 0.00043

A: Topic:- calculus