Evaluate. S −3 |x| dx The graph of y=-3x is shown here for your reference.

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Q: Evaluate lim f(x) and lim f(x) for the following function. Use ∞o or -∞o where appropriate. Then…

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Q: Suppose f and g are continuous functions such that g(6) = 5 and lim [3f(x) + f(x)g(x)] = 48. Find…

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Q: 3 Find the area of the surface generated by revolving the curve x = 2 0 ≤ y ≤3, about the y-axis.

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Q: 2 v=S₁7(e²3²³ dx sori V=

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Q: Which of the following could be the graph of y = X X X X Check Answer 62x + 59?

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Q: Evaluate the integral S 2 csc²0 3- 7 cot 0 de J 2 csc² 0 3 - 7 cot 0 do

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Q: 38. f(x) = 5e³; x = 1

A: 38. We have given function  fx=5ex Put x=1 f1=5e1 f1=5e Differentiating function with respect to x…

Q: The amount in grams of a drug in the body t hours after taking a pill is given by A(t) = 30(0.85).…

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Q: Given that f(x) = x² – 15x and g(x) = x + 6, find (a) f(x) + g(x)= (b) f(x) – g(x)= (c) f(x)g(x)=…

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Q: Using csc 8 = ±√1 + cot²0, express csce in terms of cose only.

A: We are asked to express cosec interms cos

Q: Two events are non-mutually exclusive. If P(A) = 0.51 and P(B) = 0.34, what is the probability of…

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Q: 22. (D³ + 7D² + 19D + 13)y = 0 ; y = 0, Dy = 2, D²y = −12 when x = 0

A: see below the answer and calculation

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Q: A survey of 255 adults found that during the last year, 60 traveled by plane but not by train, 60…

A: We are required to find how many adults did not travel by any of these modes of transport

Q: 15T Jasper was asked to evaluate the value of tan in his trigonometry class. His response was "1"…

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Q: uppose the amount of caffeine (in mg) in a person's body t hours after consuming it is C(t)= 16…

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Q: equations in the questions below: of parameters method).

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Q: □ 4. Given AABC with a = 4 meters, b = 6 meters and c = 7 meters. Find the measurement of A to the…

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Q: Plot the points whose polar coordinates are given below, then convert each point from polar to…

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Q: f(x) X 1) Given the graph of f(x) above, use geometry to evaluate each of the following parts below.…

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Q: Find an equation for the family of linear functions such that f(4) = 1. (Use the standard coordinate…

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Q: 2. g(x) = 2x-2 x2-4x+3

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Q: 1) Derive the gradient descent approach for L₂ regularized linear regression. Specifically: E(c) =…

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Q: Evaluate the integral. Stanhdx

A: We are required to find ∫tanhx4dx   The following formulas has been used to solve this…

Q: Q-> using simpson's — Rule, fin d 3 da So x 1+x³ and compare the result

A: The solution is given below

Q: A typical cup of coffee contains about 90 mg of caffeine and every hour approximately 12% is…

A: Given a typical cup of coffee contains about 90mg of caffeine and every hour approximately 12% is…

Q: Determine a vector of magnitude 5 in the direction of vector AB, wher / 5 15 65

A: we have to determinw a vector of magnitude  5  and in the direction of vector AB→where     A( 3,1,6)…

Q: If 0.6 J of work are needed to stretch a spring from 14 cm to 16 cm and 1 J are needed to stretch it…

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Q: Use the graph of g in the figure to find the following values, if they exist. If a limit does not…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Use the definition of continuity and the properties of limits to show that the function is…

A: Given p( v ) = 52v2 + 2  ,     a = 1

Q: Given that y is a differentiable function of the variable x, find y' if 2x²y² - 3y³ = 1.

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Q: Let lim f(x) = 23 and lim g(x) = 8. Use the limit rules to find the following limit. X-3 X-3 lim…

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Q: Find the area of the sector (in inches2) of a circle of radius r and central angle 8. (Round your…

A: The sector of a circle has radius of r=9 inches and central angle of θ=π3 radians. We have to find…

Q: Use the graph to determine the x-values at which f is discontinuous. For each x-value, determine w…

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Q: 2 tan 0 1+tan²0 An identity shows that sin 20 One way of proving this identity is by 2 tan 0 sec²0…

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Q: a) Graph the function f(x)=2x²-7x+5. b) Draw a tangent line to the graph at the point whose…

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Q: 11. (D³ — 5D² + 25D - 125)y = 504 cos 2x - 651 sin 2x

A: Given :D3-5D2+25D-125y=504cos2x-651sin2x

Q: Find the vectors T, N, and B at the given point. P(1) - (2², 32², 0). (4.-16, -2) r(t) = t),

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Q: 2. The following differential equation ((1 + y)² = (y'y)) is classify according to order, degree,…

A: Given :1+y'''2=y'y23

Q: Given the vectors v and u​, v = 11i + 2j − 10k and u = 5i + 12j. Find the dot product of v and u.…

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Q: Find the derivative. [m(2)] d dx

A: Given ddx[ ln( x + 2 x - 2  ) ]

Q: In a binomial distribution, the value for 'q' is 0.14. Therefore, the value for 'p' is: 0.14 0.86…

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Q: 4. Let f be the function given by f(x) = 4-x. g is a function with derivative given by g'(x) =…

A: Given f( x ) = 4 - x

Q: Express the area A of the cross-section cut from the paraboloid- y by the plane z=k as a function of…

A: Given equation of parabloid x2a2 + y2b2 = zcplane : z = k

Q: Find the volume of the solid generated by revolving the shaded region about the x-axis.

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Q: Estimate the angle to the nearest one-half radian. X rad

A: Topic - Angles