Find f(-5e3* + VE)dt

Q: Evaluate the integral. 3 if -2 < x< 0 f(x) dx where f(x) | 4 – x² if 0 <x< 3

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Q: Evaluate (2x - y) dx + (x + 9y) dy. C: x-axis from (o, 0) to (0, -9) and (0, -9) to (5, -9) 589 2

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Q: Where should the point P be chosen on line segment AB so as to maximize the angle 0? (Assume a = 3…

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Q: What is the absolute maximum value of f(z) = z³ – 3z² +4 on the interval (-1, 1]? %3D (A) 4 -2 (C) 0…

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Q: Let f(r) = 5I + 2. Using the definition of derivative at a point, a. enter the expression needed to…

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Q: Find the particular solution of the following ODE given that y(0)=0 and y '(0)=0: d'y +y=e* dx

A: A Particular solution of the differential equation is a solution of the form y= f(x) , which don't…

Q: 8) Find the linearization of f(x) = 6 + X+1 tan 4 dt at x = 0. 1.

A: On solving this we will get

Q: x cosy dx + cos?x

A: We have to choose the correct option from the given options according to the given information

Q: Q10. For the function f(x, y) = x³e³y_find the maximum value of its directional derivative at the…

A: Here, f(x,y)=x3e3y⇒∇f=∂f∂x,∂f∂y=3x2e3y,3x3e3y⇒∇f(1,0)=3(1)e0,3(1)e0=(3,3)

Q: Find area between f(x) and the x-axis on the domain 1<x<infinity.  show work including proper limit…

A: Given query is to find the area.

Q: For the polynomial -1/2x(3x + 1)*(x - 10)², find the following: a) the end behavior of the graph…

A: Given:    P(x) = --1/2x ( 3x + 1 )4 ( x - 10 )2

Q: dy = 2 x cos ( 3x² ) and y(0) = 1. Suppose d x What is y(1)?

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Q: 1. Consider the curve defined by 9x2 – 16 y² + 36x + 96 y– 252 = 0. a) Write the equation of the…

A: To solve the following problem

Q: 1. メーメー2 xペー5x+6

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Q: Given the differential equation y'' – 4y' + 3y = 0, y(0) = 0, y'(0) - 2 Apply the Laplace Transform…

A: L yn = snY(s) -sn-1y(0) -sn-2y'(0) -...-sy(n-2)(0)-yn-1(0).

Q: Find T(t) and N(t) at the given point. r(t) = (t – 2)i + tj; t= 2 T(2) = N(2) =

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Q: Determine whether the geometric series is convergent or divergent. If it converges, find its sum. 80…

A: Geometric Series : (3/4)0 + (3/4)1 + (3/4)2 + (3/4)3 + (3/4)4 + ........... 1 + 3/4 + 9/16 + 27/64 +…

Q: Find x' for x(t) defined implicitly by x+t°x+t -8=0 and then evaluate x' at the point (-2,2).

A: x3+t3x+t4-8=0Differentiate w.r.t…

Q: 10 Consider the function f(x) Let F(r) be the antiderivative of f(z) with F(1) - 0. Then F(z)

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Q: Evaluate the limit sin 3x lim 9x

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Q: actorise the polynomial 2x3 – 3ix² + 2x – 3i. Show all working.

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Q: Find the cost function for the given marginal cost and fixed cost. See Example 8. Marginal Cost…

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Q: Find the area of the region under the graph of f on [a, b]. f(x) = x2 - 8x + 20; [-1, 2]

A: The detailed solution is given below Thank you

Q: cos e d0 Jo 1+sin? A 2

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Q: ¤(x+4)~²dx

A: Here we have to find the given indefinite integrals.

Q: 2/ Find the value of the limit: lim x/*,

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Q: 4. sec 4x tan 4x dx

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Q: 16. Interpretations of Integrals Determine the position function, s(t), of an object if the…

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Q: Use your calculator to estimate the arc length of y = x“ over the interval [1, 2]. -5 (2, 4) (1, 1)…

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Q: The acceleration after t seconds of a hawk flying along a straight path is a(t) = 0.3 + 0.16t ft/s2.…

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Q: ) Below is a diagram of the dotted cube with edges of length 5. Suppose (5, 0,0), v = (0, 5, 0), and…

A: Given u=5,0,0v=0,5,0w=0,0,5

Q: Evaluate the limit, using L'HÔpital's Rule if necessary. sin 3x 1. lim x→0 tan 8x In x5 2. lim x7 –…

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Q: Evaluate the definite integral. ra?/3 xVx6 + a2 dx (a > 0)

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Q: If the angle between the vectors A = xâ, +â̟and B = /3â, +â, is 60°, find x.

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Q: Let u = (1,2,3) and v = (2a,2a,a^2) Which of the following values of a ensures thatu and v are…

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Q: A piece of cardboard measuring 11 inches by 9 inches is formed into an open-top box by cutting…

A: A piece of cardboard measuring 11 inches by 9 inches.

Q: 4 '2 If f is continuous and f(x) dx = 10, find | F(2x) dx. %3D

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Q: In the video game Animal Crossing: New Horizons, there are 21 squirrel characters who can live on…

A: Given  There are 21 squirrel characters who can live on your island. We are allowed to have 10…

Q: a. Suppose that Miller Corporation can produce 3500 refrigerators when the number of hours of…

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Q: Given: P(-1, -1, 2) what is o in cylindrical coordinate system?

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Q: Find the arc length of the graph of r(t) = ev2ti+ e¯v2tj+ 2tk, 0<t< v2 In 5 NOTE: Enter the exact…

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Q: 2. (6x-2) dy d2

A: Given query is to find the value of the integral.

Q: .3 dx

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Q: Calculate the first five derivatives of f(x) = – sin(x). Then determine f(8) and f(9). (Use symbolic…

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Q: Starting at age35 ​, you deposit​ $2000 a year into an IRA account for retirement.  Treat the yearly…

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Q: e consider the non-homogeneous problem y" +4y =-32(3x + 2) First we consider the homogeneous problem…

A: We need to solve IVP.

Q: A company sell the car batteries for $105 each. They paid $2500 for a licensing fee and will buy…

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Q: 4 1 3 4 5 Let A = 1 - 5 %3D -1 1 2 –5 -2 Compute: 6A + B

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Q: Evaluate the indefinite integral. x2 dx 0.2x3 + 2.7 + 2.7

A: topic - indefinite integral

Q: (a) Determine the Cartesian equation for the parametric curve defined by x(t) = 5 sin t and y(t) =…

A: We have to find the equation of the curve ,tangent equation to the curve.   Note - As per our…