Q-5: [6+6 marks]a) Using logarithmic differentiation find f'(x) if b) Solve for x the equation e2x-3e* +2=0

Q: 1 19 a. Which of the following points lies on the line x = 21, y = 3+1, z=1+0 A(2,4,2) B(-2, 2, 1)…

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Q: 13 Determine the vector, parametric, and Cartesian forms of the equation of the plane containing the…

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Q: Given: An = 8n 8n +1 For both of the following answer blanks, decide whether the given sequence or…

A: Step 1 (a) The series  ∑n=1∞​An​  from n = 1 to ∞: Given: An​=(8n)/(8n+1) Rewrite the general term…

Q: Suppose f(x, y, z) = x²+ y²+z² and W is the solid cylinder with height 7 and base radius 2 that is…

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Q: Let f'(x) = ax² + bx+c. Determine the values for a, b, and c so that f(x) has a local maximum at x =…

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Q: Find a plane through the points (1,-4, 1), (-5,3,-4), (-3,2,6)

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Q: Calculate the integral and write your answer in simplest form. 23 -dx ༼ 2¥ a» 5

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Q: 0 -2 has characteristic equation The matrix A det [0 -> a11 a12 = = a21 a22 1 -2 -2 = 1 -2-X…

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Q: A railroad scaling a mountain is 246 m long and rises 121 m in elevation. What is the angle of the…

A: Step 1: Identify the given values:  - Length of the railroad  adjacent: 246 m  - Rise in elevation…

Q: An observer on the ground sites a plane at an angle of elevation of 42.4°. At the same time, a…

A: Step 1: Let point A be the location of the airplane, point B be the location of the first observer,…

Q: L = (4, 4, 5) + s(2, -3, -4), seR 3.x - 2y + z = 10 Determine an equation for the line that is…

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Q: Evaluate the indefinite integral. (x + 1)e³x²+6x dx (Express numbers in exact form. Use symbolic…

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Q: If you use the rst three non-zero terms of the Maclaurin series of 2/3+ x^5, what is the approximate…

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Q: Consider the functional S\pl - d (12-101³) [ = with boundary conditions y(1) = 0 and y(4) = 12 sin(3…

A: Step 1:To solve the given second-order differential equation of Euler-type, let's start with the…

Q: Evaluate the indefinite integral. In (In (2x)) dx x In (2x) (Express numbers in exact form. Use…

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Q: Please help me with this question. I am having trouble understanding what to do. Please show all…

A: The objective of the question is to find the largest set of values n for which 2^n < n! and to…

Q: 3. Find the length of the axes of the ellipse defined by the equation (x-3)² (y+2)2 25 + 9 1. If…

A: The objective of the question is to find the lengths of the axes of the ellipse defined by the given…

Q: 4. The first four non-zero terms of the Taylor series for cot(x) about x = are 2 4 3 IT cot(x) = 1 −…

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Q: Let h(t) = tan t. Find the maximum and minimum values of h on the interval I = [0, π/3]. Then use…

A: The objective of this question is to find the maximum and minimum values of the function h(t) = tan…

Q: Hello, I need this answer for my practice test thank you!

A: Step 1:​f(x)=5x3​−2x2​+4x−6Using the power…

Q: 19. The real number k lies between 0 and 1. The area of the quadrilateral formed by the lines y =…

A: The objective of the question is to find the area of the quadrilateral formed by the lines y = kx, y…

Q: Suppose you wish to minimize a continuous objective function on a closed interval, but you find that…

A: When you have a single local maximum on a closed interval, the global maximum (or minimum) must…

Q: Calculate and simplify the wedge product A. = 3dx1 ^ dx 2 + 9dx₁ / dx4, =-9dx2 dx3 + 5dx3 ^ dx4. ΦΛΕ…

A: f=(3.dx.1Λdx.2+9.dx.1Λdx.4)g=−9.dx2Λdx.3+5dx3Λdx4Now wedge product…

Q: G mylab.pearson.com O c W WhenT... D2L Sectio... P Quiz 13 P Quiz 13 Flu Spr... G Ador n 02 Spring…

A: The objective of this question is to find out when the flu is spreading the fastest, how many…

Q: This is the criteria: Your functionMaximum/minimum…

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Q: Water flows into and out of a storage tank. A graph of the rate of change r(t) of the volume of…

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Q: 2. An ecologist began studying a certain type of plant species in a wetlands area in 2013. In 2015…

A: The objective of the question is to find the values of constants a and b in the exponential function…

Q: Use known Maclaurin series and operations on power series to nd Maclaurin series for the following…

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Q: solve for x: x^3+x^2+x=1 algebraically

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Q: Sketch the graph is f(x) for all of these, they are apart of 1 question. I need poi, critical…

A: it seems like the question you have provided is blurry could you please provide a clear image so…

Q: Sketch a SINGLE graph of a function with all of the following properties: f is decreasing when -45…

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Q: What point (if any!) of the curve h(x) = x^3, does the normal have a slope of 15

A: The objective of this question is to find the point on the curve h(x) = x^3 where the normal to the…

Q: Question 6 Evaluate the following Integrals. (a) |√1-de dr 422 (b) 25 √1+x² dx (c) s sin (1/x) -da…

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Q: - ⑪The two lines with equations 7 = (1, 2, −4) + (k + 1, 3k + 1, k − 3), te R, and a = 2 - 3s, y = 1…

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Q: Solve the following for x:

A: 1)To solve the equation ((1/5)x+1=125x), we can rewrite (125) as (53) since (125=53). Then the…

Q: This is the criteria:  Your functionMaximum/minimum…

A: The objective of this question is to sketch the graph of the function f(x)=5e^(x²-1) using the given…

Q: 2x√x-ex+1 e -dx = 4√ 4√2 e2 e e о 4√15 16√2 -e+e² 5e 5e O There is no such antiderivative

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Q: 31. The surface area of an inflating weather balloon is described by A(x) = 4x²-1 where x is the…

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Q: Find the curvature of the twisted cubic r (t) = at the general point and at (0, 0, 0)

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A: We'll solve this triple integral by integrating it three times sequentially, one variable at a time.…

Q: Test each of the following series for convergence by either the Comparison Test or the Limit…

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Q: (1 and 2) Explain how to solve these question in detailed steps.

A: Step 1:1. Given, f(x)=8x3+81x2−42x−8, we need to find absolute maximum point on the interval [-4,…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS. this is true/false

A: Here are the answers: 7)True. A piecewise function can have continuous pieces but may have corners…

Q: Using the attached theorms, Solve dx/dt =2x+3y , dy/dt=6x+5y with initial conditions x(0) = 8, y(0)…

A: The given system of differential equations is a linear homogeneous system and can be written in…

Q: Let u == (7,5,-5) and = (−1, −2, 2). Compute the following: u v . . = 2 7(ū. v) = (7) · v = ū. (77)…

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Q: find the derivative of f(x) = x2- 3/x, x isn't = 0

A: The objective of this question is to find the derivative of the function f(x) = x^2 - 3/x. The…

Q: A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is…

A: Step 1: Write the given Marginal Cost FunctionC′(x)=−0.025x+7.75 Step 2: Integrate the given…