Find the derivative of f when 4 f(x) = 6x4 + + 6T. 23

Q: The graphs of f and g are given. Use them to evaluate each limit, if it exists. (If an answer does…

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Q: Hugo is serving fruit sorbet at his party. He has 1 gallon of fruit sorbet to serve to 32 friends.…

A: total fruit ara 1 gallon total peoples are 32we know  1 gallon=16 cups

Q: f(x) = √√√x + 3 and g(x) = of 2: Find the formula for (gof)(x) and simplify your answer. Then find…

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Q: 15. −13 + 7 11 15 19

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Q: 120. Find the volume generated by revolving the curve y = cos(3x) about the x-axis, 0 ≤ x ≤ 36 ·

A: The given curve is: y=cos3x, 0≤x≤π36  Find the volume generated by revolving about the x-axis.

Q: Winston's Treats finds that their weekly cost function is C(x) = 100 + 4x, where x is the number of…

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Q: Solve the given differential equation by separation of variables. dy 2y = - (²x + 2)² 8x dx

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Q: f(x) = (3x² -2)5, find f '(x)

A: Here we have to differentiate the function.

Q: Find each limit. f(x, y) = 3x² + 2y² (a) (b) lim ΔΧ - 0 lim Ay → 0 f(x + Ax, y) = f(x, y) ΔΧ f(x, y…

A: Answer is in step 2.

Q: Find the indefinite integral. (Use C for the constant of integration.) 2t 1 - 4t dt

A: Here we have to find the given indefinite integral.

Q: A function f is called homogeneous of degree n if it satisfies the equation f(tx, ty) = tnf(x, y)…

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Q: 12) Σ(3) test: converges/diverges

A: ∑n=0∞2en

Q: Determine where the function is (a) increasing: (b) decreasing, and (c) determine where relative…

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Q: 5.log, (a²-9)-log, (a-3) is equivalent to og₂(a² + a−12] og (a+3) 3 og₂(a²³ − 3a² − 9a+27 og₂(a² − a…

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

Q: Use computer software to obtain a direction field for the given differential equation. Sketch an…

A: The given differential equation is y'=x. We have to sketch its direction filed and the solution…

Q: *6 = h (A soɔ) — ,,,h(Aus) (8)

A: 1(g) solve Given :sinθy'''-cosθy=9

Q: Solve y'+4y= 0, y(7) = -3, y(t) = What is the period? Period = Y(7) What is the amplitude? Amplitude…

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Q: Consider the following equation of a quadric surface. y X + + 81 81 a. Find the intercepts with the…

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Q: Find the maximum rate of change of the function f(x, y) = = 4y+ X at the point (3,5)

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Q: The weekly sales of Honolulu Red Oranges is given by q = 1155 − 21p. where q is the number of…

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Q: Find the general solution of the given differential equation. y' = 4y + x² + 9 y(x) Give the largest…

A: Given

Q: You borrow $3,140 at a rate of 0.8% with continuous compounding. How much will you owe after 4…

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Q: Write an expression in factored form for the polynomial of least possible degree graphed below. 5 4…

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Q: A bank features a savings account that has an annual percentage rate of r = 3.4% with interest…

A: The given data is: St=P1+rnnt

Q: Only

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Q: Compute 1 (x² + 1)(x² + 4) Lo -dx.

A: Given ∫-∞∞1( x2 + 1 )( x2 + 4 )dx

Q: 43. У 2 1 3 5 4 11 0 0 AS 0 2 3 4 5 X 44.

A: Given :A contour map of a function is shown. Use it to rough sketch of the graph of f.

Q: dy Find using implicit differentiation. dx Hint: First clear the denominator to get 6x² + 7y = 28(4x…

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Q: Evaluate the integral. π/2 9 cos5(x) dx

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Q: or the equation —x + 3y = 3 Complete the table: X 0 y 0 Plot the two points you found in the table.…

A: Given query is to to complete the table and plot the points.

Q: Use the sum of the first ten terms to approximate the sum of the series Estimate the error by taking…

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Q: Find a formula for the polynomial P(x) with • degree 3 a root of multiplicity 2 at x = 4 • a root of…

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Q: The temperature at any point (x, y) in a steel plate is T = 500 -0.5x21.1y2, where x and y are…

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Q: What is the length of the arc of the parabola y = x² from the points (0,0) to (2,4) ? ° 2 √²³√1+4x²…

A: We have given equation of the parabola  y=x2 y'=dydx y'=ddxx2 y'=2x Arc length of the parabola is…

Q: Suppose F(x) = f(x6), G(x) = (f(x)) and: a³ = 4, f(a) = 3, f'(a) = 15, f'(aº) = 10. Find: (a) F'(a)…

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 8y sin (2x)

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Q: Find an equation for the graph sketched below -5 -4 -3 -2 8 7+ 6- 5- 4 3 7 -2 -3 -4 -5- -6+ N -8+ q

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Q: Find a plane through the points (7,-2,6), (-5,6,-2), (6,-2,1) Calculator Check Answer

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Q: Find the derivative of i) y = 3* ii) y = cosec 2x 1 iii) y = sin ¹4x

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Q: 1. Based on data from the US Census Bureau, the US population in 1990 was approximately 250 million…

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Q: Question 3.77 Figure out the parametric equations for the normal line to the following surface at…

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Q: Find the sum: 2 - 1 + 1 - 1+ + } } } 8 = |

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Q: Suppose f(x) = 19x + 18e. Find: f'(2) = =

A: To find f'(2)

Q: Let w be a continuous function on [0, 3] with the property that 0≤ w(r) ≤ 3, for all a in [0,3].…

A: Solution: ω: [0,3] →[0 , 3] , contionous functionif ω(0)=0 or ω(3)=3 , then it's obvious.We assume…

Q: f(5) = 4 f'(5) = 2 g(5) = 1 g(5) = 4

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Q: A swimming pool is built in the shape of a rectangular parallelepiped 8 ft deep, 15 ft wide and 15…

A: Given : L = 15 ft W = 15 ft D = 8 ft

Q: The owner of a video store has determined that the cost C, in dollars, of operating the store is…

A: The cost function give in the question is C(x)=2x2-26x+620

Q: Cody used of his money to buy 6 markers. He used the rest of his money to buy 2 markers and pencils.…

A: The solution is given below:

Q: Find the critical point of the function f(x, y) = 6 + 7x + 5x² + 3y − 8y²

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Q: 9. √2 -5p dp

A: We will find the required.