Q2: Find the following limits 3. lim sin3y cot5y y-0 ycot4y

Q: Find the absolute maximum and minimum values of f(x,y)= x²-2xy+2y on the rectangle defined I by x in…

A: We need to find absolute maximum and absolute minimum on guven region.

Q: Find the area between the curve f(x) = x³ - 130 and the x-axis from x = 1 to x = 4. …….. The area is…

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Q: A new product has just come onto the market and is a big hit. The success, however, does not last…

A: This question can be solved using the concept of maxima and minima.

Q: What is the interval in which both f(x) and g(x) are positive? Ty f(x) 7 8 9 10 -8 3 -6 O (4,00) 0…

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Q: A cube is box all of whose sides have equal lengths 3s². True False

A: a cube is made of 6 squares whose sides are of equal length

Q: xy lim (x,y)→(0,0) x² + y²

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Q: Q4/ Using the Taylor series method to solve: dy = y cos(x), Where y(0) = 1. dx

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Q: Let f be a function of a. Which of the following is/are always true? (a) If f is differentiable at…

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Q: Find : dw/dk 2 √ sin (ka) m w=2

A: Given :ω=2αmsinka2

Q: The height of each rectangle is given by the value of the function, f(x) = 5x − x2, at the…

A: Explained below

Q: Sales of a particular product have been declining continuously at the rate of 15% per year.  a.)…

A: Given ,  Sales of a particular product have been declining continuously at the rate of 15% per year…

Q: (a.) f(x) = x³on [0,1] (b.) f(x)=sin sin x on [0, -1]

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Q: The population of a city doubles in 50 years. How many years will it be four times as much? Assume…

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Q: Express the function in the form fogo h. (Use non-identity functions for f, g, and h.) H(x) =tan(√x)…

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)…

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Q: 2) 2) A water trough has a semicircular cross section with a radius of 0.5 m and a length of 4 m…

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Q: Solve the differential equation. 7. (cosx cosy – cotx) dx – sinx siny dy = 0

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: Eliminate the arbitrary constants of the following. Simplify your answers.  5. y = c1 cos2x + c2sin…

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Q: x² - 4x-5 x-5 x² +6x + 8 x+2 13. What is the limx-5 14. What is the limx→-2 15. What is the limx-…

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Q: The domain of the logarithmic function y = log4 (x + 3) is Ox>0, XER Ox-3, x=R Oxz-3,TER OX>0, XER

A: Let's find domain of given logarithmic function.

Q: Use Lagrange multipliers z = f(x, y) = x² - xy + y² to find the absolute maximum and minimum values…

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Q: If all the letters in the word FUNCTIONS are used, determine the number of different 9 letter…

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Q: @ evaluate the definite integral S² (9x² - 10x + 6) dx 3

A: Solve the integration

Q: Write the parametric equations of the line through the point P (-6, 4, 3), that is perpendicular to…

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Q: If f'(a)=, what is the slope of the line tangent to the graph of y = f(x) at the point (a, f(a))? O…

A: Given: the curve, y=fx.f'a=12

Q: Determine the equation of the tangent to the curve where x=0. y=-1+x Oy=-x+1 Oy=1 O None of the…

A: You have asked multiple questions, we will solve the first question for you and the rest can be…

Q: Eliminate the arbitrary constants of the following. Simplify your answers.  8. y = c1e^x + c2xe^x +…

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Q: A tank initially contains 50 gal. of fresh water. Brine (water in which a certain number of pounds…

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Q: The graph shows the function y=x²-6x and the area bounded by the curve, its X-intercepts, and the…

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Q: Find the unit tangent vector to the curve defined by r(t) = (4 cos(t), 4 sin(t), 2 sin²(t)) π at t =…

A: I have appended the formula used in the solution part of the question

Q: 11. z = 1+ 2t 3x + 11y - Find an equation for the plane parallel to the line x = 1-2t, y = 2+3t and…

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Q: Problem 5. An observer is positioned 3km away from a rocket launch pad. How fast is the distance…

A: This question can be solved using the concept of rate of change.

Q: @ evaluate the indefinite integral fxº ex* dx

A: Given problem:- ∫ x8 ex^9 dx

Q: The graph of one complete period of a sine curve is given. y 1 4 4 -3 7814 X

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Q: Chapter 11 Test (3) 6. Simplify the following: n!(n+1)! (n-2)!(n+3)!

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Q: If y = (6x)¹/2, what is

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Q: 6. cos x sinỗ xdx

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Q: f(x) = c TRY TO FILL THE хо xo FOLLOWING TABLE FUNCTION f(x) = c g(x) = x g(x)=x USING PUTE…

A: This question is based on area and integration.

Q: Ⓒ Find ³ dx J & 4 3

A: SOLUTION-

Q: 5.) Using the tables, evaluate h'(2) for h(x) = - A.) 33√2 C) 33√2 33√2 512 8 33√2 D.) 3√2 f(x) g(x)

A: Given h(x)=f(x)g(x)

Q: C 5 4 3 2 1 1 1 2 3 4 5 To find the blue shaded area above, we would calculate: J. f(x) dx = area…

A:

Q: defined on the interval [-9.4247778, 1.45619445]. Enter points, such as inflection points in…

A: Solution: Given f(x) = sin2(x/3)       interval [-9.4247778 , 1.45619445]

Q: Find the angle ū= , V = degrees

A: To find the angle between the given vectors.

Q: 4. A plane travels on a bearing of 15° at an air speed of 655 km/h. It encounters a wind blowing at…

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Q: Find the slope for f(x,y) = xeyat P (2,0) in the direction of the line from M(2,0) to N(-1,2)

A: We have to find slope

Q: Find the volumes of the solids generated by revolving the region about the given line Use the…

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Q: Find the limit: lim (z,y) → (3,3) 4x4 - 4y4 x² - y²

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Q: Sorry, this

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Q: Problem 6: Given the function f(x) = 3x² + 2x - 10, then (a) find the derivative function f'(1) by…

A: In this question, we want to find the differentiation of function at x=1 , equation of the tangent…

Q: Q2:- a. b. Let u=x²-2xy + 2y³ with x = s²ln t and y = 2st³. Find au/as and au/at. find the total…

A: We need to solve the two questions.