Taking 2 cm to represent 1 unit on the y axis draw the graapfof y=4x-x^3 for the range -2.5

Q: A deposit of $100 is made at the beginning of each month into an account at an annual interest rate…

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Q: 0.1 4 So V1+x* dx

A: Given : ∫00.11+x4

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A: NOTE: Refresh your page if you can't see any equations. .

Q: Use the definition of the Laplace transform to find L{f(t)}. (Enter your answer in terms of s.) 0,…

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Q: B. Determine the general solution for each given higher order differential equation. Write your…

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Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

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Q: A conservation organization releases 15 Florida panthers into a game preserve. After 2 years, there…

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Q: Find the general solution of the given second-order differential equation. y" - 6y' +10y=0 y(x) =

A: Topic = DIFFERENTIAL EQUATION

Q: The demand function for a certain product is given by D(p) = O A. D'(p) = OB. D'(p) = 2,055 +198p…

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Q: 33. The position in feet of a particle is given by the equation x (1)-²-4² +6. At what time t> 0 (in…

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Q: We are given the following homogenous differential equation and pair of solutions on the given…

A: Given differential equation x2y''-7xy'+15y=0We have to verify that given function x3 and x5 form a…

Q: The cost of manufacturing a particular videotape is c(x) = 9,000 + 7x, where x is the number of…

A: Given data:- Cost of manufacturing a particular videotape, cx=9000+7x Average cost of per tape is…

Q: Question Evaluate lim √3 -4 sin ¹ ( √ 362²_3√³+1)) 4 Enter an exact answer.

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Q: For the sequence, determine if the divergence test applies and either state that lim n→∞ an does not…

A: Answer: The solution is as given below:

Q: Please explain how to find the fifteenth derivative of f(x)=2x^15-3^x, f^15(x

A: Topic - Derivative of a function

Q: (b) Use the total differential dz to approximate Az. dz = X

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Q: a) Find the derivative of each of the following functions. Write the derivative in proper form,…

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Q: Find the indefinite integral using integration tables and using the given method. (Use C for the…

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Q: Use Lagrange multipliers to find the maximum value of f(x, y) = 6x + 6xy +y where x >0 and y>0…

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Q: Given the scalar function f(x,y)=2xy,calculate the line integral along the ellipse curve from point…

A: Given data:- The given curve is, x29+y24=1 The given scaler function is, f(x,y)=2xy t E 0,π/2

Q: 8. The following rational expressions are proper fractions except: x + 2x³-3x²+x-5 3x² - 4 C.…

A: A rational expression is said to be proper fraction when the degree of the numerator is less than…

Q: Find the area of the region bounded by the parabola y² = 2x2 and the line y = x - 5.

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Q: Explain the meaning behind the expression foF-dr, for a curve C and vector field F.

A: To explain: The meaning behind the expression ∫CFdr for a curve C and vector field F.

Q: )  Suppose that ∞     n = 1an = 1, that ∞     n = 1bn = −1, that a1 = 2,

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Q: 7 A 4-pound weight stretches a spring 2 feet. The weight is released from rest 20 inches above the…

A: We need to solve differential equation.

Q: Find the volume of the solid obtained by rotating the region bounded by the curves y = x², x = 1 and…

A: Solved below

Q: Let y = 5x². Find the change in y, Ay when x = 3 and Ax 0.4 Find the differential dy when x = 3 and…

A: x = 3  f(x)=f3=5·32=45 f(x+△x)=f3+0.4=f3.4=5·3.42=57.8 △y=f(x+△x)-f(x)=57.8-45=12.8

Q: 2.: Select the correction choose. A) Using two iterations of the Simple Iterative Method, find the…

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Q: Find the area of the parallelogram with vertices  P(3, 3, 3), Q(5, 5, 4), R(10, 9, 13), and S(8, 7,…

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Q: a. Find the first four nonzero terms of the Maclaurin series for the given function. b. Write the…

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Q: Evaluate 3 [³ X x² - 1 dx. Note: If the answer is not an integer, round your answer to three decimal…

A: Given, ∫23xx2-1dx

Q: 2. Set up the triple integral to find the volume inside x² + y² = 9, above z = 0, and below x+z = 4.…

A: Solution is given below:

Q: Q1. Find the derivative of the following functions. a) G(x) = ²3 et -dt et + b). H(x) = plnx ² +1 14…

A: Note :- “Since you have asked multiple question, we will solve the first question for you. To get…

Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then…

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Q: d. projab

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Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

A: I have stated the used formulas in the solution

Q: Answer true or false. If f is not piecewise continuous on [0, ∞>), then L{f(t)} will not exist. O…

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Q: Find the absolute maxima and minima of f(x, y) on the given regions Of(x, y) = x² + y² on R = {(x,…

A: Answer: As per guidelines we can solve only 1 question at one time so post other question separately…

Q: Link has to travel to Hyrule castle. Link is currently in the Gerudo desert. The desert sand…

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Q: Set up the triple integral to find the volume inside x² + y² = 9, above z = 0, and below x + z = 4.…

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Q: Given that: f'(x) to the left of x=4 is negative f'(x) to the right of x=4 is positive S'(4)-0 What…

A: First Derivative Test: Let a be a critical point such that f'(a)=0. If f'x changes from positive to…

Q: Let f(x, y, z) = eª + zy² and let C be a straight line segment connecting the points (4,2,1) and…

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Q: Use a graphing utility to graph the function in part (b) and verify the maximum volume from the…

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Q: B. By choosing the appropriate point/s, solve for the root using Bisection, Newton Raphson, and…

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Q: 3dy √1-4y² xdx cos² (x²) 2 4. Solve - 5. Solve - 6. sinx dx secx

A: I am attaching image so that you understand each and every step.

Q: 7. The function f(x) has a critical point at x = 3. This could mean that A. There is a minimum at x…

A: Topic = Derivative

Q: Find the partial derivative Əz Əx for the function z = 8y²√x.

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Q: Need

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Q: Approximate the definite integral using the Trapezoidal Rule and Simpson's Rule. Compare these…

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Q: 22. Mrs. Taylor loves brownies. She has a recipe that calls for 2 cups of sugar. She decides to…

A: We can find the answer as below.