11 * True or False log32x² = log32 + 2log3x O TRUE O FALSE

Q: Find a solution of x - y - y that passes through the indicated points. dx (a) (0, 1) y (b) (0, 0) y-…

A: solution:-xdydx=y2-yby cross multiplication we get1y2-ydy=1xdxintegrating both sides w.r.t   x  we…

Q: Find the volume of the solid whose base is the semicircle y = √√4x² where -2 ≤ x ≤ 2 and the cross…

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Q: Given w= In z dw θω 1. Suppose x = u², y = 4v+e5 and z = : v3 tan u. Evaluate and ди Əv

A: Given w = yx7lnzx = u2y = 4v + e5z = v3

Q: Find the particular solution of the differential equation satisfying the initial condition y(4) =…

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Q: 1 t5 t² + 10 dt

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Q: If x is slightly more than 3, then X large and positive Olarge and negative small and positive small…

A: Topic - Limits

Q: Given the graph of y = f(x), 1 -1 True False y -2 then x2 y = f(x) lim_ƒ (x) = 1 2 3 X

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Q: (a) In order to express the function y=13^20x+3 as a composition of two functions the outer of which…

A: According to bartleby guidelines we supposed to do the firts one of multiple questions kindly repost…

Q: Let g(x) = f(t) dt, where f is the function whose graph is shown. Jo y g(12) = 0 3- g(15) = 45/2…

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Q: Initially 100 milligrams of a radioactive substance was present. After 8 hours the mass had…

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Q: The given family of functions is the general solution of the differential equation on the indicated…

A: Given y=c1ex+c2e-xy''-y=0y0=0y'0=1 We are required to find the value of y       The following…

Q: Problem #1: Consider the sequence (an) defined by an for all n > M Problem #1: for n ≥ 1. What is…

A: Given that the sequence an=4nn! for n≥1.

Q: Find the x-value at which f is discontinuous and determine whether f is continuous from the right,…

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Q: The rectangular coordinates (x, y, z) of a point are given. Find the cylindrical coordinates (r, 0,…

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Q: Find the volume of the solid generated by revolving the region bounded by y = 4x − x² and y = 0…

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Q: Sketch the region bounded by the graphs of the equations. Find the area of the region. f(x) = x5 + 3…

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Q: After t seconds the displacement, s(t), of a particle moving rightward along the t axis is given (in…

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Q: 6. [0/1 Points] DETAILS PREVIOUS ANSWERS Three regions are defined in the figure. 7. [-/1 Points] y…

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Q: Find the horizontal and vertical asymptotes of the curve. You may want to use a graphing calculator…

A: Asymptotes

Q: Solve the general solution of the following: A. (4D^5 - 8D^4 - 17D^3 + 12D^2 + 9D)y = | I

A: As per guidelines we can solve maximum 1 question at a time. Please repost the other question and…

Q: Suppose the coefficient matrix of a linear system of eleven equations in eleven unknowns has 11…

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Q: The graph of a function f is given. (Enter your answers as comma-separated a = YA تاب a = 1 (a) At…

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Q: The Candy Factory sells candy by the pound, charging $1.50 per pound for quantities up to and…

A: p(x)=1.50x   for x≤301.40x+k   for x>30condition of continuty of p(x)  at…

Q: 5. 6. (-2,-2) Answer 8 y=x² y=x²-3x (-2,4) (1,6) (2,4) y 0 3y=2x+16 y=-2x+8 (2, 2) y = x X

A: To find the area of each of the following shaded region. (5)  (6)

Q: Evaluate the following integrals. / 7²(7²2+27+3) 2. dr

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Q: 9. * Find the Solution logx16 = 2 O 4 O 8 O -4 O 16

A: We have given logarithmic equation  logx16=2 16=x2 x=16 x=4 x will be positive.   x>0  x=4

Q: A region R is bounded by y = f(x) and y = 0 as shown in the graph below.

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: If the function f defined by I < 2, {32²-4, 222, is continuous everywhere on (-∞0, ∞o), what is the…

A: To find the functional value at x=1 if given function is continuous.

Q: 36. Prove that lim √ [1+ sin² (2π/x)] = 0. x+0+

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Q: O O 6. Which expression is equivalent to log.m* + 2log¸m* O log, m x² +7% log, m² 4x+14 3x+14 log,…

A: Explanation of the answer is as follows

Q: At time t = 0 a car moves into the passing lane to pass a slow-moving truck. The average velocity of…

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Q: The population ( in hundreds) of fish in a pond is given by P (t) = 2t+sin(2t - 10) t months from…

A: By the Bartleby Authoring Guidelines, we can answer only first question in case of multiple…

Q: A quantity P is an exponential function of time t, such that P = 60 when t = 4 and P = 90 when t =…

A: Given :P=60 when t=4P=90 when t=3P=P0ekt

Q: The graph of y = f(x) is shown. 10-9-8-7-6-5-4-3-2 10 69 8 7- 6 5 4 3 نما 2 1 -2- -3 -4 -5 -6- -7…

A: To find value of x when f(x) =0 and value of f(x) when x=0.

Q: Find the general solution of the differential equation: y'-4y = 3 sin(2t) Use lower case c for the…

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Q: Consider the following vector: -E1₁ 2 2 Which vector has length 2 and the same direction as u? 200…

A: given  u=-122

Q: 21. Find the second derivative of: a. f(x) = ex² b. f(x) = ln (x²+4)

A: according to bartleby guide line we do only first part of multiple questions (21)  (a)…

Q: 03 * Which of the following is the direction vector from the point A(4, -3, 2, 1) to the point B(-7,…

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Q: Suppose a dog house manufacturer sells two types of dog houses. Let x represent the demand for the…

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Q: X f(x) 0 -5 -4 -3 -2 -1 0 -7 9 -4 Which of the following are factors of f(x)? Choose all that apply.…

A: The given data is: x -5 -4 -3 -2 -1 f(x) 0 0 -7 9 -4 To find the factor of fx

Q: 8. a. Find all values of a such that the function is continuous for all values of x. f(x) = { = {2 4…

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Q: Neatly sketch and label the graph. Provide a hand drawn sketch that meets the following criteria: _)…

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Q: g(x) e 4 - * Minista 6.x²

A: g(x) = 4 - x6x2 The horizontal line test states that if a line is drawn over the graph of a function…

Q: Calculate the area of the shaded part (-2, 1) Area 1 y = x + 3 and y=x²-3x + 3. 0 Area 2 (2,5)…

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Q: Consider the following graph of a function g(x). z=2

A: here , we have graph of a funcion g(x) then we have to evaluate the following limits :-(i)…

Q: f(x) = 19 + 2x-x², [0, 5] absolute minimum value absolute maximum value

A: Given 19+2x-x2 The objective is to find the absolute maximum and minimum values

Q: Find f(g(x)). 5. f(x) = g(x)=x²-4 x+1 5 7. f(x) = {/ g(x) = √6-x

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Q: Find the first and second derivatives 1 6 584 5s = 3 4s

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Q: If '7 [²Fx f(x) dx = 8 and 7 [ f(x) f(x) dx = 3.3, find 6 [$FO f(x) dx.

A: Solution: The definite integral of a function represents the signed area between its graph and the…