Q: Consider the function f(x,y)=-2x²+12x-6y²+4y+4xy+24. (a) Find the partial derivatives of f(x,y).…
A: As per guidelines, I can answer maximum three sub parts of a question. To know rest, please repost…
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A: Here, the given limit is: limx→0+(x-ln x)x which is (-∞)0 form.
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A: To find the dimensions that minimize the amount of metal needed to make the can.
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Q: For the following function, find the equation of the tangent line at the point (1, 2). f(x)=√92¹-1…
A: Topic = Derivative
Q: ered # tion Bi Q) choose one only 1. If (x + y)² = x² + y² prove that = - dx 2. If y = sin³ () cos³…
A: To find the differentiation of given functions.
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A: In this question, we want to differentiate the given expression implicitly.
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Q: What is the component form of a vector with a magnitude of 17 and a direction of 125°?
A: To find the component form of the vector whose magnitude and direction are given.
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A: The rectangular equation is x2=-2y2+5x2y2
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A: Given query is to find the equation of the tangent.
Q: P(x, y) = 10x + 6.1y-0.007x² -0.035² where x is the number of pounds of Kisses and y is the number…
A: ∂P/∂y is the derivative of P with respect to y taking x as a constant..
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Q: What is the integral of (2 sec^2x - sinx) dx? * O 2 cosx+tanx + C 2 tanx + sinx + C 2 tanx + cosx+C…
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Q: Remember, even if you enter an answer rounded to a set number of decimal places, if you use that…
A: Explained below
Q: Let f(x,y) = 8x - 2y + 5. Find the following values of f(x,y) for the given coordinates. (a) f(2,…
A: Given f(x,y)=8x-2y+5 Find:f(2,-1) Substituting x=2 and y=-1 in the given equation, we get f(2,…
Q: 3. How much work does it take to pump the water in a full tank to 2 ft above the tank in the…
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Q: Help
A: We will solve the problem
Q: 1.) +y=e+ dx=3e-t 2. .) d- given: x(0) = 0, y(0) = 1 dy-x=0 d+y=1 given a z (0) = -1, y(0) = 1.
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Q: 5. Evaluate lim x→2 x² - 16 X x-2
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Q: The cost (in dollars) of manufacturing one item is given by C(x, y) = 10 + 9x + 7y where x is the…
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Q: Find the area bounded by the curve x = y² + 2y and the line x = 3.
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Q: Convert each degree measure to radian measure as a multiple of . Do not use a calculator. (a) 135°…
A: We know that for converting degree to radian , we multiply by factor π180° Therefore
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Q: 2. Use the graphs of y=f(x) and y= g(x) to sketch the graph of y=h(x). Hint: Estimate the function…
A: answer is in next step.
Q: Find the equation of the plane containing the points (0, 1, 3), (2, 2, 2) and (3, 2, 1)
A: Given: points (0,1,3), (2,2,2), (3,2,1) Find: equation of the plane containing given points
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Q: If the present value of an item is P and we experience an inflation rate of r for t years, what will…
A: solving the problem by finding the value of the future value.
Q: Suppose that $2,500 is deposited into an account paying 6.2% interest compounded continuously.…
A: $2,500 is deposited into an account paying 6.2% interest compounded continuously.
Q: The population of a city is 150,000. The city declines continuously by 4% per year. ... If this…
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Q: - 4. Find the area bounded by y = x - x² and y = x(x − 2)(x+2).
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Q: Convert (z+ 2)² + y² = 4 to polar form. Drag and drop an answer to each box to correctly complete…
A: Let us assume x=r cos θ and y=r sin θ. So, we get (x+2)2+y2=4⇒(r cos θ+2)2+(r sin…
Q: Evaluate the following limit, if possible. If the limit c 4 lim 42-√√
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Q: 3. Find f'(z) and f"(x) if f(x) = lnx + 2 cos³ r.
A: topic- derivative of a function
Q: Problem 7. Find the limit lim f(x), where 2--2 x²-4 2+21 x-2
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Q: af axdy of f (x, y) = xy(x+y — 1) — x² Find-
A: The given function is: fx,y=xyx+y-1+x2 As we know that; The Power Law: ddxxn=nxn-1 The Product…
Q: consider the function y=−3sin(4x−π/2)+1 a) What is the amplitude? b) What is the period? c)…
A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first…
Q: Let z=f(x,y) = 20x² 25xy + 16y². Find the following using the formal definition of the partial…
A: Given : z=f(x,y)=20x2-25xy+16y2 To Find : a) ∂z∂xb)∂z∂yc)∂z∂x(-1,1)d)fy(4,-1)
Q: Evaluate the following indefinite integrals. 1. [(5x + 4)¹¹ dx 2. √x (x² + 2)¹7 dx
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Q: - Solve the linear ODE using an Integrating Factor. x². dy dx + 2xy = 3sin(8x)
A: solution is given below
Q: 1) If y = (x-a)√2ax-x² + + a is constant. x- -1(*-ª) ,then y' = 2√2ax - x² a² sin-¹ a²
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Q: If tant=−3/4 and π/2 <t< π, find sin, cost, sect, csct, cott. Enter the exact answers. sint=…
A: We have to find value
Q: Find the area bounded by x = y + 2, x = 1 - y^2, and the lines y = 1 and y = −1. *
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