The volume of a cone is 110 in ³. Find a function that models the height h of the cone in terms of its radius r. h(r) =

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A: The given function gx=x3+x2 and g'x=13x23+2x. We have to find the inflection points and the…

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Q: Marginal Revenue The demand function for a certain boat company's 34 ft Sundancer yacht is p=…

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Q: The approximating curve shown on the figure is given by I(t) = −0.04t3 + 0.4t2 + 0.1t + 202    (0 ≤…

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Q: Find the area of the shaded region.

A: given

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A: According to question, Given information, We have given the cost of east and west sides fencing is…

Q: 1 Graph the function by using transformations of the graph of y = Plot all necessary asymptotes. For…

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Q: Using first principles, determine the derivative of y=3x² +4x.

A: Ans: f'(x)=6x+4 For detail ....go through the solution

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Q: An application of infinite geometric series: The government has decided to give a $1,000 tax rebate…

A: Rebate = $1000 80% of it is spent and is then in the economy to be spent.    infinite geometric…

Q: Consider the following. y = = In(x²) Find y'. y' = m = 2 X Find the slope m of the tangent line to…

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Q: The height of a cylinder is seven times its radius. Find a function that models the volume V of the…

A: Given:  Height of the cylinder is seven times its radius.   We are required to find: Function that…

Q: Using the method of undermined coefficient, find the yc and yp of the following DE y" - 3y + 2y =…

A: Given :

Q: How do you find the intervals that are concave up or down, the inflection point, the critical…

A: critical point

Q: Are there any points on the hyperboloid 22² + y² − 2² = (3) gent plane is parallel to the plane 22-…

A: Given    plane  2z=2x-3y2x-3y-2z=0   the direction ratios of the normal to the given plane : ( 2 ,…

Q: Evaluate the following integrals and/or determine whether the integral is convergent or divergent…

A: Note:- Since you asked multiple question, as per policy we can solve only first question for you…

Q: (i) Determine the equation of the line tangent to y = f(z)=3-2x+z² at the point when z = -1. (ii)…

A: NOTE: Refresh your page if you can't see any equations. . Since you have asked multiple questions,…

Q: Shown in the table is a runner's speed at various times. Use this data to sketch a curve relating…

A: Given,

Q: Gonzalez Manufacturing borrowed $30000. Part of the money was borrowed at 10%, part at 12%, and part…

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Q: Find r'(t), r''(t), r'(t) · r''(t)

A: According to bartleby guidelines we supposed to do the first three subparts of multiple subparts…

Q: Suppose that f(x, y) = 6x + 8y and the region D is given by {(x, y) | −1 ≤ x ≤ 3, −1 ≤ y ≤ 3}. D a…

A: Given that , fx,y=6x+8y and region D is given by x,y | -1≤x≤3 , -1≤y≤3 find the double integral of…

Q: Please show how to do cube rt. of 1.1

A: Given: g(x)=1+x3 at a=0L(x)≈x3+1

Q: (9) (a) Find the equation of the tangent plane P to the paraboloid z = = x² + y² at (1, 2,5). (b)…

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Q: Find the domain of the vector function r(t) = Domain: {t ≤t≤} Question Help: Video Calculator

A: according to bartleby policy we do only first part of multiple questions (i)…

Q: The temperature at a point (x,y,z) of a solid E bounded by the coordinate planes and the plane…

A: The given data is: 7x+y+z=1Tx,y,z=xy+8z+20

Q: Find the vector equation that represents the curve of intersection of the paraboloid z = and the…

A: Since you have asked multiple questions, we will solve the first question for you. . Question-1 .…

Q: Find an equation of the plane through (– 5, 2, — 6) that is perpendicular to the planes 4x − y + z =…

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Q: n k=1 (3 + 2k)² = Hint: Start by multiplying out (3 + 2k)². fra

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Q: Solve the given system of differential equations by systematic elimination. D²y = e4t Dx + (D+1)x+…

A: The given system is:Dx+D2y=e4t                                .... (1)(D+1)x+(D-1)y=2e4t…

Q: (Q2.) Solve the following. 1. Verify that y = e2 is a solutions of the following differential…

A: Please see the below picture for detailed solution.

Q: 4x-3 Find the value(s) of x for which f(x) = 4x2+ 17x15 and label these discontinuities as removable…

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Q: Find // VdA, + 1 R -dA, R= [0,3] × [−1,1]

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Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and…

A: The given lines are: y=xy=2-x  The density function is δ=14x+9y+7  To find the center of mass of a…

Q: A ship sails South 2 km, then turns West. If it sails at a rate of 10 kph, find the rate at which it…

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Q: Suppose that in the interval 13 ≤ ≤ 19 you know that negative. Select the correct comparison. lim…

A: The given data is: y=f(x), 13≤x≤19

Q: Evaluate the following integral. 2²-1 -dx

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Q: Sta tan³ xsec³ x dx

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Q: Find the vector equation that represents the curve of intersection of the cylinder x² + y² = 1 and…

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Q: 1 +æ 1) Evaluate the following integral. dx

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Q: The figure below shows contours of g(x, y) on the region R, with 5 ≤ x ≤ 11 and 2 ≤ y ≤ 8. Using Ax…

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Q: Define the linear transformation 7 by T(x) = Ax. Find ker(7), nullity(7), range(7), and rank(T). = […

A: T =  9 9 9 -9   Rank(T) + Nullity(T) = N = 2

Q: formula for du/ou in terms of other partial derivatives 2,9,2, and each of z, y, z is a function of…

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Q: Find the locations and values of all relative extrema for the function with the graph below. Ay Q G…

A: The points on the graph where the function changes its direction from increasing to decreasing are…

Q: Fill in the missing values such that the final term is pulled out of the summation. 9 Σ i=1 = Ex 5-1…

A: To fill in the missing values such that the final term is pulled  out the summation. ∑i=19 i2=∑i=1?…

Q: Find the area of the shaded region. 2- L -24 y=x-2 + 2 3 4 square units y=√x X i

A: Topic = Area

Q: Convert the given exponential function to the form indicated. Round all coefficients to four…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and we need to…

Q: Transformation by trigonometric identities & integration by parts. Evaluate each of the following…

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Q: ithout doing any row operations, explain in a short sentence why [137 0506 0028 0 10 A= 1 2 2 31 3…

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Q: Given f(x, y, z)=√x+6y-52, find fz(x, y, z)= 1₂(x, y, z)= f.(x, y, z)=

A: Partial Derivative