Question 3 The function f(x) = − 2x³ + 30x² − 54x + 3 has one local minimum and one local maximum. - - This function has a local minimum at x = with value and a local maximum at x = with value

Q: Find the differential dy of the function y=-2²-3x - 2. Select one: O a. (-x-3)dx. O b. (-2x - 3)dx O…

A: dxndx=nxn-1d(constant)dx=0

Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

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Q: (3) Rewrite the given expression BEND n(n-1)az" 2 as a single power series whose generic term…

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Q: A particle moves along the y-axis so that its position at time t is given by y(t) = t² tan() for t >…

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Q: Find the derivative of f(x) = (x8 – 9x) (x² = + 2x -6)

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Q: The function f has continuous second derivatives, and a critical point at (-4, 6). Suppose == −8,…

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Q: Suppose F(t) has the derivative f(t) shown below, and F(0) = 2. Find values for F(2) and F(7) -1 3 2…

A: Given F(0) = 2 as we know that F(b) - F(a) = ∫abf(t)dt

Q: The Pythagorean Theorem Find the perimeter and area of the right triangle shown below. X Perimeter =…

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Q: a) f(x) = = Using logarithmic differentiation find f'(x) if 42x+1 1-3x

A: acoording to bartleby guideline we do only first part of multiply questions…

Q: 1. Find the equation (in center-radius form) of the sphere whose diameter has endpoints at A(1,4,…

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Q: [sec4 2xtan62xdx

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Q: Use the result obtained in Problem 20 to find the area enclosedby f1x2 = - 5x2 + 8, the x-axis, and…

A: Given function is f(x)=-5x2+8. The objective is to find the area enclosed by f(x), x-axis. where…

Q: Problem #1 The City Council proposed to utilize government-owned land with an area of 9,600 square…

A: We know that area of the rectangle is given as - Area= length × width  And differentiation of xn is…

Q: Find the potential function of the vector field F(x, y, z) = Provide your answer below: f(x, y, z) =…

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Q: A distributor of batteries received complete payment of $9,100.50 for ten automobile batteries that…

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Q: A ship of mass 4.5 x 105 kg starts from rest under the force constant propeller with a thrust of…

A: As we know that F -Fres = ma a = accleration F - Fres = mdvdt

Q: Find the equation of the tangent line to the curve at the given point using implicit…

A: NOTE: Refresh your page if you can't see any equations. . the given point is

Q: A triangle has sides a = 2 and b = 3 and angle C = 60. Find the length of side c.

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Q: π/2 sin(x) dx

A: Topic:- application of integration

Q: The duration of daylight L in minutes(sunrise to sunset), x kilometers north of the equator on May…

A: We need to choose correct option.

Q: Find the indefinite integral. (Use C for the constant of integration.) Ï 11 (z - 12) ¹1 dz

A: Use the substitution method to find the indefinite integral.

Q: Question 2 Consider the function f(x) = 4 – 5x², −5≤x≤1. The absolute maximum value is and this…

A: f(x) = 4-5x2 Differentiate f with resp to x f'(x) = 0-5(2x) f'(x) = -10x For max min f'(x) = 0 -10x=…

Q: A carbon sample contains 4000 atoms of radioactive element 235U. Given that 235U has a half-life of…

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Q: 1. Find the equation (in center-radius form) of the sphere whose diameter has endpoints at A(1,4,-2)…

A: Let's find equation of sphere.

Q: he shape below contains a triangle and a semi-circ 6 15 ound your responses to two decimal places.…

A: Given query is to find the perimeter and the area of the shape.

Q: Solve for x. 2x = 13 X= (Round to four decimal places as needed.) ...

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Q: 2ydx + x(2+x²y)dy = 0

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Q: Find f(0) given f"(t) = 6 - 60 - 480², f(1) = 8, f(0) = 19

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Q: Use the properties of logarithms to write each expression in Problems 39-42 as a single logarithm.…

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Q: Find the slope of the line that passes through the points (-5,2) and (-1,6). 1 Previous

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

A: Given query is to find the limit of the expression.

Q: Calculate the line integral f(−xy³ − 6x + 6y − 3) dx + (−5xy − 3) dy, where C' is the rectangle with…

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Q: Consider the surface S₁ with equation 2²-4 = 22. a) Sketch the graph of S₁ in R³. Indicate proper…

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Q: ㅠ (2 cos x - 2 sin x) dx

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Q: Let 0 be an angle in quadrant one such that cos0=3/4 find the exact values of csc0 and tan0. Thank…

A: The objective of the question is determine the values.

Q: If ffh h(u)du I'Me h(u)du = = 4 and h(u)du = 9.6 what does the following integral equal?

A: The given integral is ∫-48h(u)du=4,∫18h(u)du=9.6 We have to find the value of the integral…

Q: cup of hot coffee whose temperature is 200°F is poured in a room whose temperature is 70°F. Two…

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Q: Assume a population of fish grows exponentially. A pond is stocked initially with 500 fish. After 6…

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Q: 6. Solve the following initial-value-problem. y" + 4y' + 3y = 0, y(0) = 2, y'(0) = -1.

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Q: Find the distance in exact form between the point P(−4,1,0)(-4,1,0) and the point Q(−3,3,2)(-3,3,2).

A: concept Let two points   ( x1,y1,z1 )  and ( x2,y2,z2 ) then distance between them is denoted by = P…

Q: A ferris wheel is 30 meters in diameter and boarded from a platform that is 2 meters above the…

A: At t =0, Let's say the person is at the 6 0' clock position of the Ferris wheel at t = 0, and h =…

Q: nd the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the…

A: Given query is to apply mean value theorem.

Q: 4x - 9 Given f(x)=- 15 Find the inverse f¹(x).

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Q: It costs 4 dollars to manufacture and distribute a backpack. If the backpacks sell at x dollars…

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Q: Solve cosx-1=0 for all real values of x.

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Q: d the equation of the tangent line to the curve at the given point using implicit differentiation.…

A: Given query is to find the equation of the tangent.

Q: Find the point P on the graph of the function y = √√x closest to the point (5,0) The x coordinate of…

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Q: Use one-sided limits to determine whether the following limit exists and its value. If the limit…

A: Given query is to find indicated limit.

Q: Find any function F(x) which is an antiderivative for the function F(x) = -1 f(x) ) = 19 (²+1)=¹.

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Q: Find the midpoint of eachdiagonal of a square with side of length s. Draw the conclusionthat the…

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