A cylinder is inscribed in a right circular cone of height 7 and radius (at the base) equal to 4. Determine the dimensions of such a cylinder that maximize its volume. Radius Height

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Q: 7. Compute where x² + y² = 10. x y 0-4 x O-100 dx2 O 100 y³ ONone of these.

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Q: Find the absolute maxima for the function: f(x) = 6 x+ sin (6 x) on the interval [0, 2 π].

A: We have  fx=6x+sin6xx∈0,2π

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Q: find f'(x). Answer: f(x) - 5 sin x 1 + cos x

A: f(x)=5sinx1+cosxd dx(sinx)=cosxd dx(cosx)=-sinx d dx(ab)=b×d dx(a)-a×d dx(b)b2

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A: Graph of f'x is given.

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A: We need to find the absolute minimum of f(x)=3x3-x-1 over [-1,1]

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A: Here is the solution:

Q: Let p=25-√√x and C(x) = 290+4x, where x is the number of garden hoses that can be sold at a price of…

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Q: 13x² √x² −1 dc = √u dhe, dx If values for a and b. , then determine which of the following should be

A: ∫24 3x2x3-1dx

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Q: The graph of the function f(x) is provided above. a) Indicate (i.e. check) all labeled points at…

A: A graph of the function is given, we have to find its global extremum and local extremum.

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Q: 2. Find the equation of the line tangent to the graph of y=-³²e²x at x = 2

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Q: Use the values in the table below to answer each of the following: x h(x) g(x) h'(x) g'(x) 0 2 1 -5…

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Q: Find the solution to  x' = y - x + t y' = y if x(0) = 2 and y(0) = 4 x(t) = ? y(t) = ?

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Q: Let f(x, y) = (x - xy²). In this problem, you will find the absolute maximum and minimum values of…

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Q: The desert temperature, H, oscillates daily between 36°F at 6am and 76°F at 6pm. (a) Write a…

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Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the…

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Q: A baseball team plays in a stadium that holds 68000 spectators. With the ticket price at $9 the…

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Q: Consider the power series (−1)¹ (7x − 3)¹ - √n +9 Find the center, a, radius of convergence, R, and…

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Q: Consider the following. g(x) = 3x² + 39x11; g(x) = 193 With the function indicate whether an input…

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Q: A water tank is created by revolving the graph y=1/x about the y-axis, with the v(h) = √ ^ 72 dy.…

A: A water tank is created by revolving the graph y=1x about the y-axis with the bottom of tank at y=1.…

Q: Find the particular antiderivative that satisfies the following conditions: dR dt R(t) = 80 t² ;…

A: Given, dRdt=80t2  R1 = 20  We have to find R.

Q: Compute the limit In(n²) lim n→ In (2n)

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Q: How to find inflection points of f(x) not inflection points of f'(x)

A: Given the graph of f'x, to find inflection points of fx.

Q: fxex² sin x² dx

A: Given: ∫xex2sin(x2)dx

Q: 1. (a) (b) (c) Find the general indefinite integral. f(x. (x + tan x) dt 1.9 [(e² +x¹.⁹ + 7x².5) dx…

A: We have to find the indefinite integrals.

Q: Q Search mail Given the function f(x) = -4x² Find the difference quotient f(x+h)-f(x) h f(x+h)-f(x)…

A: answers are in step 2.

Q: Differentiate y = = y=Σ k=0 Σ (k + 1)k+7. k=0 ---

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Q: 4. The chipmunk population in a region was 280 chipmunks in 2010. By 2015, the population increased…

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Q: suppose that we don't have a formula for g(x) but we know that g(1) = -2 and g'(x) = (2 + 15)^1/2…

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Q: The count in a bacteria culture was 300 after 10 minutes and 2000 after 30 minutes. Assuming the…

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Q: A pair of digits (a, b) is such that 4a5b32 is a multiple of 66, find a+b.

A: Please see the below picture for detailed solution.

Q: The average value of v(t)=e².cos(t) over the domain [1, 4] is approximately: -1.149 x x 106 2.516 ×…

A: To determine the average value of vt=et2·cost over the domain 1, 4.

Q: Find the distance between the skew lines: z = 8-9t x = 5+7t, y = 3+7t, x = 1 -t, y = 6, z = 5+8t…

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Q: Find the values of x for which the series converges. (Enter your answer using interval notation.) 8…

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Q: (a) by interpreting it in terms of areas. Show the graph! (b) [VI6=240 f(x- (x + √81-x²) dx

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Q: derivative f'(x)? Let f(x) = (e +ln(x²))³. Which of the following represents the first (A) 3 (eª +…

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