Determine the absolute maximum and minimum values of f(x) = x²e on x = [-5, 1].

Q: Q5) Solvex+2xy = 3 by using Euler's method to find he approximate solution up to X-2.9 when h = 0.5…

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Q: An open top box, with a square base is being designed. Material costs 126/cm². What is the largest…

A: According to question,Given data,Material costs = 12 cents/cm2

Q: Find the indicated derivative and simplify. [3x log x³] dx [3x log x³] = dx (Type an exact answer.)

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

Q: Z Z 2 J 0 iei(n+1)0 de

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Q: Q2\ Solve by picard method (up to four approximation) y' + y = e* and y(0)-0 Find y(0.1)?

A: Please see the below picture for detailed solution.

Q: Find the equation of the line L2, pass through the point (2,-1) that is parallel to the line L1…

A: The line L2 pass through the point 2,-1 that is parallel to the line L1: 2x+4y=12

Q: Q2: Find the following limits V-V lim x418√√x+√ 友

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Q: Direction: Solve the following problem of bounded areas, marks for complete work out and mark for…

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Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

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Q: dx dy Show complete solution solve: Bernoulli Differential equation 3 x = x² siny EXERCISE -(-siny +…

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Q: Find a point on the graph of 3x y = x-4 12 where the slope of the tangent is - 23. (find x value…

A: This question can be solved using the concept of slope of tangent at a given point.

Q: IF A [-3 6 -2 3 3 0-3 0 0 12] 06 3-6 -3 0 121 60-6 3 6 6] Option 5 6. Option 4 The Cofactor Matrix…

A: First we will understand  the term and then solve it.

Q: Let x + 1 f(x) x + 6 ƒ−¹( − 2) = - =

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Q: (x+y cot) dy-ydx = 0 (Homogeneous)

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Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

A: Given that a  differential equations and we classify each differential equations is separable, exact…

Q: A particle start from the point (4,4) and it's coordinates change by the increment AY=5 and AX= -8…

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Q: Consider the region R bounded by the curves y = 2 sin(2x) and y = 0 in the interval [0,1] with a…

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Q: 3. fx²4 dx 5. dx 3x² + 1 +x dx u= U= U= du = du = du = answer: answer: answer:

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Q: Q2:/Sketch the region (R) of integration f (x² + y²) dydx and evaluate the integration. Then reverse…

A: To evaluate the value of given double integration.

Q: Area of a circle C. Use definite integration to show that the area enclosed by a circle of radius 1…

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Q: state the order of the given ordinary differential equation. Determine whether the equation is…

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Q: Show that the following equation [ has a solution on (0, 2). 42-1 = πX 2 5 cos(-

A: The given equation,       4x-1=5cosπx2

Q: 7) lim (cotx +cscx) XIR

A: lim      cotx + cscx x -->π lim      cosx/sinx + 1/sinx x-->π lim      (1 +cosx)/sinx x-->π…

Q: Use calculus to find the open intervals on which the function f(x) = x+8√√/2 − x is increasing or…

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Q: Find the mass of a thin funnel in the shape of a cone z = √√x² + y², 1 ≤ z ≤ 2 if its density…

A: Given: z=x2+y2ρ(x,y,z)=12-z

Q: Q3/: Find the area r=1- cose and over the region R that lies inside the cardioid outside the circle…

A: See this solution I below

Q: Find an explicit solution of the given initial-value problem. +²dy x=y=xy, y(-1) = -4 dx y =

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Q: 4) Show that and 4x 2 - 4x f(x) = 4x-2 4-4x are eventually fixed points for the function : 0<x<…

A: Given

Q: (1+x)*dx X

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Q: Evaluate the integral. 1 u5 1 [(4-3- du u √√2 5 1 --- 4 3 1 √2 du = (Simplify your answer.)

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Q: 1. (a) Complete the table for the graph of the quadratic. Vertex -10- Equation Axis of Symmetry…

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Q: 2. For the quadratic function y = -6x² + (K + 4)x+ 9, find the following: a. The Axis of Symmetry of…

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Q: Find the general solution of the given differential equation. dy 2 + 6y = 3 dx y(x) = Give the…

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Q: 4) A coin is dropped from a height of 960 feet. The height, s (measured in feet), at time, t…

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Q: let a = (-1 - 1) and b= (t u v w). define a functionn F: a TO B BY FOLLOWINNG ARROW DIAGRAM

A: let a = (-1 - 1) and b= (t u v w). define a functionn F: a TO B BY FOLLOWINNG ARROW DIAGRAM

Q: Q4\ Solve by Gaussian elimination x-4y-2z = 21 2x+y+2z = 3 3x+2y-2=-2

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Using calculus, find the absolute maximum and absolute minimum of the function f (x) = 6x² − 36x + 2…

A: We want to find absolute minimum and maximum .

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: [1 if A= 2 13 2 1 -2 * find det (A) if 3 3 -11 6 O 38 O 16 O 18 O 48 O

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Q: log (x³y¹z) = b

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Q: Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had…

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Q: BA)Find normal line and parallel plane to the function f(x, y, z)=x√yz + 6 At point (-3,1,4).

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Q: * The following function f(x) = x^4 sinx is odd O neither O O even

A: The given function fx=x4 sinx

Q: dy Q:4) Solve the following differential equation: = 1+ x + xy + y

A: The solution is given below.

Q: C. 1:4 During a 200 metres race an athlete passed through the 30m point at the 12th minute. What was…

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Q: hange the cartesian integral in an equvalant polor integral then evalute e polor integral ² -√√2x-x²…

A: Given problem:-

Q: how did you get y^2-4xy to y-4x when there are three y's on top I input the numbers and got 0 which…

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Q: Given the graph of fx), determine the range of f(x) • 8 -10-9-8-7-6-5 OR O(-1) (1.) O(-2) u (2) O(1)…

A: Range of an inverse function is the domain of the orginal function.

Q: Question 3. The following figure shows the graph of the derivative f' of a function f, where f is…

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