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Q: dy a. Use implicit differentiation to find dx b. Find the slope of the curve at the given point. 4xy…

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Q: The derivative of sec(e) is tanx O 1) tan(e*") sec{e*™) O 2) tan(e**) sec(e*)x e** 3) tan(e)…

A: topic - derivative of a function

Q: An oil company discovered an oil reserve of 110 million barrels. For time t> 0, in years, the…

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Q: Let y = 5/T. Find the change in y, Ay when a = 5 and Ax 0.1 Find the differential dy when I 5 and dæ…

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Q: Find all x-values in the interval for which the function is equal to its average value. (Enter your…

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Q: Find the relative maximum /minimum values of thefunction S(x) = -2 r+2 State where the function is…

A: Solution is given below:

Q: Use implicit differentiation to find dz/dx and dz/dy. yz = 2 In(x + z) az dx az ду

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Q: Given the function f(x,y)=3x² - y over the rectangular region, R = {(x, y): 0 < x s2,0 < y s 3}.…

A: we know, ∬Rfx,ydA=∫03∫02fx,ydxdy

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: 15x? Find the horizontal asymptotes of f(x) = - 6x 14x2 + 10 (Use symbolic notation and fractions…

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Q: 3. For Z = x²secy,prove that Zxy is equal toZyx

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Q: Find the area of the curve r²=16cos(theta)

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Q: (2x – 3y +1)dx – (3x+2y-4)dy = 0

A: (2x-3y+1)dx-(3x+2y-4)=0The above differential equation is of the formMdx+Ndy=0where M=2x-3y+1    ,…

Q: Find all asymptotes of the curve x2 + 3xy + 2y2 + 3x – 2y + 1 = 0 ?

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Q: ,x 1 Is the function k(x) = {x²-1 2,x = 1 continuous at x = 1?

A: We use L' hospital rule to find the limit.

Q: The population of a certain barangay is known to increase at a rate proportional to the number of…

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Q: Find the distance between the point and the plane. (Round your answer to three decimal places.) (5,…

A: The objective of the question is determine the distance between given point and plane.

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min.…

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Q: sx2-9x-6 dx x3-2x2- 4xt8

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Q: ind the total area of the shaded region shown to e right given by the curve 3D2(sin x)/1+ cos x. -2…

A: Given query is to find the area of the region.

Q: Assume that the linear cost model applies. If the total cost of producing 1600 items at $15 each is…

A: here we want linear relation  for 1600 item cost for each is $15 1600*15 = $24000 so extra is 24410…

Q: A particle travels along the x-axis such that its velocity is given by v(t) = t0:2 + 2 sin (t + 4).…

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Q: 1 Lim x+0 sin'x 2. X. X

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Q: Find the equation of the line tangent to the graph of 2 + y* = - 2xy + 13 at ( – 3, 4). The equation…

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Q: Given f''(x) = 5x + 3 and f'(– 3) = 3 and f( – 3) = - 6. Find f'(x) = and find f(2)

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Q: Use Newton's method to find the two real solutions of the equation x* - 2x° – x - 3

A: Solving Newton method

Q: b = 123,    c = 164,    ∠B = 40° ∠A1 = °      ∠A2 = ° ∠C1 = °      ∠C2 = ° a1 =        a2 =

A: To find out the remaining measures of the triangle.

Q: Accounting for viscous drag and fuel-burning, the one-dimensional equation of motion for a rocket-…

A: Note: The solution is provided using Excel not MATLAB.  MATLAB questions are generally rejected as…

Q: A 24 factorial design (with factors A, B, C, D) is to be conducted in four blocks. Divide these 24…

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Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLIFIED FORM 1. y = Arcsin(- Vx²+4

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Q: - If g(x)=-9x+2 evaluate g (0), g (-5) and g(2x+3)

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Q: The area of a healing wound is given by A = ar². The radius is decreasing at the rate of 4…

A: Given query is to find the rate of change of area.

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: A car's movement is represented by the function 2x3 + 6x2 + 2x + 3 in kilometers reco at an hourly…

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Q: 1.e -9- -2 4,0 2

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

Q: If a snowball melts so that its surface area decreases at a rate of 7 cm2/min, find the rate at…

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Q: Find the points on the surface y? = 36 + xz that are closest to the origin. smaller y-value (х, у,…

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Q: Water is pouring into a swimming pool. After t hours, there are 2t – yt gallons in the pool. At what…

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Q: Blowing Soap Bubbles Carlos is blowing air into a spherical soap bubble at the rate of 7 cm³/sec.…

A: V=(4/3)πr3 now differentiate it with time dV/dt = 4πr2dr/dt 7 = 4(22/7)*9*9(dr/dt) dr/dt =…

Q: Question The base of a triangle is shrinking at a rate of I1 cm/s and the height of the triangle is…

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Q: Find the supply equation using the given information. (Let x be the number of items.) At a price of…

A: We have to find the supply equation using the given information.

Q: Determine whether the planes are parallel, orthogonal, or neither. 8x - 7y + z = 7 x + 2y + 6z = 1 O…

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Q: Find the unit vector of n = (4,-3) .

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Q: f(x) = x3-3x2+3x-1 ;   m = -1   ;  [-1, 2]

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 8. Find f(x)dxif fx)dx = -5 and f(x)dx = 7 %3D 8. f(x)dx

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Q: The figure shows the graph of a cubic polynomial. 1,e 1,0 -6 The function graphed is f(x) = Hint:…

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Q: 11 Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A: topic - application of derivatives

Q: Show detailed solution for the following integral: (Non-anonymous questionO) S tan'z sec³z dz 7

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Q: Sketch the region enclosed by the curves and find its area. y = e", y = e10, x = 0, x = ln 2 NOTE:…

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Q: Find the maximum and minimum of w(x, z) = 2xz + z^2 +1 in a region R bounded by x = 0, z = 0, and x…

A: The bounded region R is: