Consider a robot arm as given in the following figure

Q: (c) in the tank to a height of 1 m above its top. Do not evaluate the integral – just write it down.…

A: answer is in next step

Q: 2) Zy? + X :0 + x -1 :0

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Q: Consider the hyperbola Qu 144y + 864y - 25x – 50z = 2329 Qu Qu What are the vertices of this…

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Q: Dix) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: Without eliminating the parameter t, find a Cartesian equation for the line tangent to the curve C,…

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Q: marginal cost of a product is modeled by dc 16 dx 16x + 7 vhere x is the number of units. When x =…

A: Given query is to find the cost function.

Q: The series 1(-1)" converges to 0. True False

A: We have to find if the given series is converges.

Q: 2x3 + 1 x3

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Q: Write the center of the circle x 2 + y 2 - 6x + 10y - 2 = 0 (-3, 5) (3, -5) (6, -10)

A: Centre of circle

Q: consider the point (-3,-3) in rectangular coordinates.  give 2 different ways to represent the…

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Q: 240 2 s7 17(s-1)8

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Q: 1. The volume V of a right circular cone of radius r and height h is given by V = r?h. (a) Find a…

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Q: Question- Let R be the region bounded by x= y - 25, and x 1. Then draw the region and. evaluate the…

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Q: The Maclaurin series for cos x is Eo (-1)"; What is the n%3D= (2n)! coefficient of the term forx*?…

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Q: In a recent survey, 52 said they had a dog, 64 said they had a cat and 25 both pets. How many…

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Q: Find the average value of the function f (x ) = in the interval %3D [1, 4] Express your answer as a…

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Q: A hot air balloon rising vertically is tracked by an observer located 7 km from the lift-off point.…

A: topic - application of derivatives

Q: 6. Let u = (1, 0, 2) and v = (2, -2, 1). 6.1. Determine 2 u-3 v in component form. 6.2. Find a unit…

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Q: 1. Find the maximum value of r+y subject to the constraint r + y? = 18.

A: The maximum value of x+y subject to the constraint x2+y2=18

Q: The graph ofr sec 0 = 4 is the graph of a circle. True False

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: r(t)=cos(πt)i-ln(t)j+t-12kDomaincos function takes all values  ie  -∞,∞logarithmic function takes…

Q: Use the Integral Test to determine if the series n2 n3 +1 n=2 converges or diverges. The series…

A: Explanation of the answer is as follows

Q: Find a power series representation for the function. (Center your power series representation at =…

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Q: dæ4 evaluated at x = -1 dx evaluated at x = –1 dx? evaluated at x = -1 dx3 dªx4 evaluated at x = -1…

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Q: In order to sketch the graph of f'(x), we must have a formula for f(x).

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Q: Find the curvature of ƒ(x) = ln cos x, < x < 2 -- 2°

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Q: 6. Determine the derivative of each function. (a) f(x) = (-4)e5x+1 (c) ƒ(x) = 63x-8 (b) f(x) = xe 3x…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x(2x + 5)8dx

A: Explained below

Q: e the given graph of the function ƒ to determine the type of discontinuity at each æ-value.…

A: Given problem:-

Q: vertices (0,0), (0, 4), and (5,0).

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Q: Section 1.8 In Exercises 1-4, solve the given initial-value problem. (For Exercise 3, you may…

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

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

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Q: Use differentiation to find a power series representation for n=1 1 (5+ x)2

A: We have to find the power series expansion of the above equation.

Q: 1. Let f(r, y) Find: %3D I+y+1 (a) f(2, 1) (b) f(1,2) (c) f(a, a)

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Q: 1. For the shaded region shown, determine the following using vertical strip: 5 a. Area x= 2y - 3 4…

A: The given equations are: x=2y-3 and y=x-22-12. Fromx=2y-3, we get: y=x+32. Plug this into the other…

Q: Recall that csc(x) and cot(x) = sin(x) cos(x) sin(x) d4 cot(x) The ratio dx csc² (x) is a constant…

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Q: 5. SET-UP the double integral that solves for the volume of the solid: 3 3x+ 2y+ 4z = 12

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Q: 9 Find the length of the major axis of the equation x 2 + 4y 2 = 4. 8 2 4

A: Standard equation of ellipse is x-h2a2+y-k2b2=1 with major axis is the horizontal axis.And length of…

Q: For 3 random distinct positive real numbers: • the sum of the two smaller numbers is 12 less than…

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Q: FindS( 3x* – 2x³ + 4x² – 5x + 2) dx -

A: Given; I=∫3x4-2x3+4x2-5x+2dx   As we know that; The Sum rule; ∫fx±gxdx=∫fxdx±∫gxdx The Power rule;…

Q: Write the general equation for the circle that passes through the points: (-1, 2) (4, 2) (- 3, 4)…

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Q: Write the equation in standard form. (Use xp for x’ and yp for y’

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Q: Q9. Find the equation of the tangent plane to f(x, y) = x In(y) + x²y+3 at the point (x, y) = (2,…

A: Consider the equation of the form          F(x,y,z) =0 then the equation of the tangent plane to the…

Q: Evaluate the indefinite integral. Sa V1 - a? dæ cos° 0 – cos 0 +C 3 - 5/2 (1-22)이2-3 (1- 22)이2 +C. |…

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Q: The SMPT group at UB sells past final exams packages (small and large) for $2 and $3 respectively.…

A: topic - linear equations

Q: Use Newton's method to approximate a root of the equation +x + 4 =0 as follows. Let 1 = - 1 be the…

A: The given equation,    x3+x+4=0

Q: Answer all questions in the space provided. Show ALL your steps in your calculations. Answer in…

A: According to bartleby guidelines I can only answer the first three subquestions. Please repost the…

Q: Formulate a linear programming problem that can be used to solve the following question. A dealer…

A: topic - linear programming

Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a…

A: Find Maclaurin series.

Q: Jse Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

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