Evaluate W(3,-1) for the function W(x,y) = 4x^2 + y^2

Q: Consider f(x)=2- Instruction Find the x- intercept and y- intercept Find the vertical asymptote and…

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Q: 2. Given that p = (5,-2,4), (3,-4,-2), and F = (-3,2,1), calculate the following. a) p q b) the…

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Q: 3. Differentiate sin a 1+cos z with respect to x and hence, find S -dx 1+cos a

A: We need to first differentiate then solve integration.

Q: Question 2. a -1 ·(9) :)+(C) -(0) b +3 2 с 5 3 a. If 4 Find a, b, c b.If X + 0 = X what can you say…

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Q: Determine the vector, parametric, and symmetric equations of the line passing through the point A(7,…

A: Given:We are required to find:

Q: y" - 6y' + 8y = 0

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Q: f(x+h)-f(x) h Find and simplify the difference quotient 5x ƒ(x) = ==. Simplify your answer as much…

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Q: Use Lagrange multipliers to find three positive numbers whose sum is 27 and the sum of whose squares…

A: To solve this problem using Lagrange multipliers, we need to define an objective function and a…

Q: 21. If u and are collinear and the magnitude of u is 7 times the magnitude of v, write an expression…

A: As per the Bartleby guidelines, answering only first question as the other questions are not the sub…

Q: √x + 4 In(9-x) Determine where f(x) is continuous, algebraically. (Enter your answer using interval…

A: We have,  f(x) = √(x+4) /ln(9-x)

Q: S x cos 2x dx

A: We are required to find:

Q: given the differential equation (cos x + 2xcos²y) dx + (6y2 - x²sin 2y) dy

A: The given differential equation is:

Q: Given that 5 -3 5 1 -1 M = 0 ONM = ONM = ONM and N = - 19 20 -17 0 [41] 4 -1 1 [20 [198] 20 -18 119…

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Q: 1. Sketch the region of integration and then compute the integral with the order of integration…

A: To sketch the region of integration and then to compute the integral with the order of integration…

Q: Solve the given differential equation by using an appropriate substitution. dy dx -= (x + y + 6)²

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Q: (1) Find the limit (show the steps). lim 0-0 (cos 30) - 1 sin 50

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Q: We will evaluate the following improper integral: I [ª da (22+4)2 First we will do the indefinite…

A: We solve this integration problem by using general property of integral.

Q: Me number of mosquitoes in a field after a major rainfall is modeled by the function M defined by…

A: Here we given a function M described here models the quantity of mosquitoes in a field following a…

Q: Find the critical point of the function f(x, y) = 6 -3x+4x² - 5y - 4y² 7800 5000 8 This critical…

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Q: Using cylindrical shell method, find the volume of the solid S: R is the region bounded by x= y²+1…

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Q: For the following parts, do not round your answer at any point. For any N>0, suppose that there is a…

A: It is given to us that,  Taking square root on both sides,Taking reciprocal on LHS which reverses…

Q: State the horizontal asymptote for the function h(x) = -e - 10:

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Q: Let à = ā ( – 5, — 4, 5) and b Find the projection of b onto a. proja b = (3, 1, 0). V

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Q: (b) Describe the relationship between each set of planes, and solve the system if possible: (vii)…

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Q: doesn't exist, state undefined. VA

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Q: Find three positive numbers whose sum is 120 and whose product is a maximum. (Enter your answers as…

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Q: 6. Determine the equation of the tangent to y = xe* + e* +1 at x = 1.

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Q: a. f(x) = F ť² — b. f(x) = = 1 X-1

A: Given that function:  f(x) = 1/x2 - 1 and f(x) = 1/(x-1).Determine the flat asymptote of this given…

Q: Find the tangential and normal components of the acceleration vector. r(t) = cos(t) i + sin(t) j +…

A: We have to find the tangential and normal components of the acceleration…

Q: A region bounded by fly) = -y² + 4 and x = 1 is shown below. Find the volume of the solid formed by…

A: A region bounded by  and  is shown below. To find the volume of the solid formed by revolving the…

Q: Draw a sketch of the graph of f(x) = 2√x + 1 − 1. Explain the trans- formations of the graph of…

A: Explaination of the answer is as follows

Q: 1 -1 √1-y² 0 X [Q² + y 0 (x² + y²) dz dx dy

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Q: Use the graph below to find the indicated limits. If a limit doesn't exist, state DNE. If doesn't…

A: This is question of calculusHere graph of function is given we have to find limit of given function…

Q: Given f(x) = |x+6| Find: lim X-5- f(x)

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Q: 5. A certain computer that is purchased today depreciates in value according to the function (t) = =…

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Q: dy Differentiate ax by applying the chain rule repeatedly. Show work 7 y =(√x + = = 2₂2) ³² X-2

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Q: Let f(x) = log6x and O True g(x)= For all x g(x). O False

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Q: Find the area of region bounded by generated curves. Do not forget to show your graph. 2. R is the…

A: Given :- R is the region bounded by y=x²+1 , and the lines y=2 and y=5.To find :- The area of region…

Q: 28. The displacement of an object attached to the end of a spring can be modelled by the function π…

A: Given the displacement function is h(t)=2.4 cos.

Q: (3). Find the critical numbers 1/ a) b) f(x)=x²-x²-2x+3 f(x)= x(3-x)¹/3

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Q: Use partial fractions to evaluate the definite integral. Use a graphing utility to verify your…

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Q: A region bounded by fly) = y, y = 2, y = 6, and x = 1 is shown below. Find the volume of the solid…

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Q: 23// The curves y = ax² + bx+c and y common tangent line at the point (1, 0). Find a, b, and c.

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Q: What is the rectangular form of the polar equation r = 4sin(0)? Choices: x = 4sin(0), y = 0 x = 0, y…

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Q: Assume that x and y are both differentiable functions of t and are related by the equation ㅠ dy Find…

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Q: 3) A metal box is constructed, and it's planned to have dimensions of 120 cm by 50 cm by 75 cm. If…

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Q: A company determines that when 3000 units of a particular commodity are sold, marginal profit s $10…

A: We have to use the given information for solving the sub-parts

Q: The first image does not load

A: First part is solved in the first image. So, solving the part a for the first image.Given:

Q: 8 3 dx x +1 +2

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Q: ex If E(x) = x²e⁹ + In(π) O ee-1 + eº(ln(π) +e™) e²−1 + eº(ln(π) + eª) + ee−¹ e²+¹ + e²(1/ ln(π) +…

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