Parameterize the line through P = (–2, 2) and Q = (5, 6) so that the points P and the parameter values t = 14 and 16. r(t) = correspond to

Q: 2. dx tanx 4t² dt

A: To differentiate the given function.

Q: (6) The integrals represent the volume of a solid. Describe and sketch the solid. (a) √²¹2x³dx (b)…

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Q: Evaluate the doubl Treat as

A: First we integrate with respect to x

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Q: 20. f(x) = sin a for a < 0 cos x for 0≤x≤ ³T tanx for 37 < x < 2π for 27 < x < 5 cot a Let f be the…

A: A piecewise continuous function is continuous on a given interval in its domain if the function…

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Q: Find a vector parametrization of the circle of radius 3 in the xy-plane, centered at (4, -1),…

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Q: y(x) = c₁e* + c₂e-x + 4sin(x)

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Q: thrown

A: Please refer to the image below

Q: Evaluate each limit or state it does not exist a) lim 6x²-5x-1 x →1 2x² - x - 1 b). x²³_8 lim X-2…

A: a3 - b3 = (a-b)(a2+ab+b2)

Q: Use the vertex (h, k) and a point on the graph (x, y) to find the Standard Form ( f(x) = a(x − h)² +…

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Q: QY == Given f(x) = (hog|(x), and f(1) = 2/'`(1) 9 (²) = g(1) f = - Find (gof) (1) in simplest form :

A: Given- Given fx = h∘gx, and f1 = 2f'1 = g1 = -g'1 To find- Find g∘f'1 in simplest form.

Q: xp x + 1^₂x

A: Here is the solution:

Q: n 4 3 2 1 -1 -2 -5 15/2 Find lim π Find lim f(x): ² → ( ²7 ) + 3π/2 The graph of the function f(x) =…

A: Given, f(x) = sec(x)

Q: A. Complete the table below 1. 2x Given - 3x² = 5 2. 4 – x2 = 5x 3. (2x + 5)(x-4) = 0 4. 2x(x - 1) =…

A: Let's solve.

Q: Q17) Let ABCD be a convex quadrilateral in E.G. and let O be an interior point of ABCD. If E, F, G,H…

A: We have to find the relationship between area of 4 part of quadrilateral.

Q: A. by extracting square roots. 1. x2 = 169 2. 9b2 = 25 3. (3y - 1)2 = 0

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Q: 3. Sketch the graph of the function y = f(x)=√4-x². Find the domain and f(x) of the function

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Q: Consider the function f: R²R given by f(x, y) = ³ + ² + 2xy + y2-y. Find and classify all stationary…

A: Here is the solution:

Q: Considering the definition of f(x) below, find lim f(x). (If the limit does not exist, enter Ø.)…

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Q: Find the derivative of the vector function r(t) = ln(19 - t²)i + √17+tj − 7e-¹t k - r' (t) = (¯¯

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Q: Solve the Differential Equation x² (y² +3) y(x³+1) dy + dx = 0

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Q: Eliminate the arbitrary constant. 2x -X y=c₁e + c e 1 2 A B с D y" y'- 2x=0 y"-y'- 2y=0 2y"-y-2x=0…

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Q: Q8. Let ABC be a triangle in the E.G. Assume E, F points on AB. AC respectively such that…

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Q: 3. Calculate the following limit analytically or show that the limit does not exist. Re- member to…

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Q: Find dy/dx for the following functions:- u² (4) y=²+1 , u = 3x² - 2 (3) 4x² + 3xy - xy² = 0

A: We can find the answers in the below steps

Q: Find the area of the parallelogram whose diagonals are represented by the vectors a =(3,-3,1) and b…

A: See this solution in below

Q: Suppose F(x, y) = 9 sin() sin() - 9 cos( - and C is the curve from P to Qin the figure. Calculate…

A: Given that , F→x,y=9sinx2siny2i^-9cosx2cosy2j^      ......1 and the labeled points are P=3π2,-3π2 ,…

Q: Part A: What is the total of the percentages shown in the chart? Answer: Answer: % Part B: What…

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Q: Find dy/dx fc (1) y = x³ Inx ,,2

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Q: Find any relative extrema of the function. (Round your answers to three decimal places. f(x)=…

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Q: The following questions should be completed and your answers brought to class. Spending on Baseball…

A: Given graph: The given graph is a bar graph. In bar graph, height or length of the bars are…

Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

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Q: Solve the following system by using Gauss-Seidel method when the initial value is X(0) = 0, & = 5 x…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Find the DE of a family of circles with center at (1,-2).  Hint: Equation

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Q: Find the area of the region between the graphs of y = 20 - 2² and y=-2x - 15 over the interval 6 < x…

A: Please see the below picture for detailed solution.

Q: How many cups tall is the Blue Trophy ? Show a clear path to your solution. Making a Table and a…

A: Given- Trophy is 51.6 CM1 Cup is 9.5 CM2 Cups is 10 CM3 Cups 10.8 CM4 Cups 11.4 CM To find- How many…

Q: 30. dy dt t y-12y y(0) = 4

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Q: Convert 3.2 ft2 to square inches

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Q: if f(x) = x²√√In x² P x A. f'(x) = . find the derivative of this function f'(x) 1-In x² x²√√In x²…

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Q: Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of c…

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Q: Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify…

A: The Solution is given below

Q: Use the spreadsheet to answer the following questions. B3 HNMes 1 A 47 37 94 76 60 Answer: x✓ fx 57…

A: Spreadsheet is given, we have to answer the required values.

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Q: 5. Sketch a graph of a function of that satisfies each of the following. (Feel free to use the…

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Q: e number of bachelor's degrees conferred has been increasing steadily in recent decades. The rate of…

A: Please refer to the image below

Q: 6 y² +9' represents the volume of the solid of revolution formed by rotating Q about the x-axis?…

A: Here we have to choose the correct option.

Q: C2 2. y(x) = C₁x + C₂ + x² - 1

A:

Q: L- matrix and U

A: The objective of the question is determine the L- and U- matrix.