EVALUATE AND SOLVE THE LINEAR DE. (D5 – 15D3 + 10D² + 60D – 72)y = 0

Q: Find the derivative of the equation: h(w)=(5/2)(w2+8w+1)(3/2)(2w+8

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Q: Set f(x)= e=x². (a) What is the symmetry of the graph? (b) On what intervals does the function incre...

A: Given : f(x) = e-x²

Q: Forms of Summation Notation 1. Summation of n Variables: 'x' Ex; = x1 +x2 +X3 +...+x, Example Given ...

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Q: ". standard deviation is always positive

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Q: A tree on a hillside casts a shadow c = 230 ft down the hill. If the angle of inclination of the hil...

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Q: C 1000 A В

A:  We know that law of sine is : SinA/a = SinB/b = SinC/c. Here A,B,C are angle of triangle and a,b,c ...

Q: Compute fx, fy: f (x, y) = arctan(xy)

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Q: (a) Calculate the first-order differential equation below using transformation y = xv. dy +3у %3D 2х...

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Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 3 and a root of multiplicity 1...

A: We know that a polynomial of degree n can be written in factors form as: P(x)=C x-x1·x-x2⋯⋯⋯x-xn Whe...

Q: t Complete the table of values to evaluate lim t0 sin t f(t) f(t) -1 1 -.5 0.5 -3 0.3 --1 0.01 -.001...

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Q: Solving by variation of parameters 4y" 4y'- 8y 8e-*, we find that: O u_1=(-2/9) e^(-3x)and u_2=-(2/3...

A: Auxiliary equation and variations parameters

Q: Evaluate the integral. 1/2 3 sin 2nx dx 2.3 16 16 3 8

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Q: A series RLC circuit is shown in Figure Q4 (b) where R= 4Q, L = 0.5H, C= 0.1F,E(t)=10 V and i(0) = 0...

A: Given: R=4ΩL=0.5 HC=0.1  FE(t)=10 V

Q: Given the differential equation y" - 2y' - 15y = 3x + cos(5x) (1) Find the combined differential ope...

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Q: Use linear approximation, i.e. the tangent line, to approximate V125.1 as follows. Let f(x) Va and f...

A: Solution is here

Q: What is the equation (mathematical expression) for a hollow sphere with center at the origin and rad...

A: According to question,Given,Center of hollow sphere =Origin 0,0,0,Radius = 10

Q: To find the General Solution, we match each part of our Differential Operators to the table below, w...

A: option D

Q: Function Type Differential Operator ... AxN + BxN-1 + .+C DN+1 AxNeax (D - a)N+1 cos(Bx) or sin(Bx) ...

A: We will find the differential operator by the given table. We will use second row to find the requir...

Q: Continuity of Functions on an Interval Determine if the given function is continuous on each of the ...

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Q: The temperatue of a town t months after January can be estimated by the function f(t) = – 28 cos( + ...

A: Given that: f(t)=-28cosπt6+41

Q: An open-box with a square base is to have a volume of 500 cubic inches. The material for the top and...

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Q: 1. Find the indicated values. f(g(8)) |x| f(x) g(x) s(8(5)) 1 5 g(f(5)) 2 5 8(5(3)) 3 2 4 4 1 S(S(4)...

A: Use the given table for finding the value of function 

Q: graph of y = f(x) is shown. Use the graph to answer the question. Is f continuous at x = -4? 4+ 3+ た...

A: A function is continuous if left hand side limit and right hand side limit of function at a point ar...

Q: Determine whether the statement is true or false. Modify each false statement to make it a true stat...

A: Given that: If a number is divisible by 2 and 3, then the number is divisible by 6.

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

A: Topic = Volume

Q: Complete the table. 4 lim f(x) X→3° -3 = -00 lim f(x) %3D X--00 lim f(x) -2 -1 6 7 8 %3D X→+0 -1 lim...

A: Topic = Limits

Q: g(x) is the graph of f(x) shifted down 3 units and left 4 units, write a formula x)= ter Vx as sqrt(...

A: Given: f(x)= 4√x

Q: Calculate and at the points (7,41, 1) and (7,41, –1), where z is defined implicity by the equation z...

A: Given the equation z4 + z2x2 - y - 9 = 0

Q: Which of the following statement/s is/are true about the function whose graph is shown below? A. lim...

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Q: 3. The following statements indicates the use of descriptive statistics EXCEPT A. Last school year, ...

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Q: Function Type Differential Operator AxN + BxN-1+ .+C DN+1 AxNeax (D - a)N+1 cos(Bx) or sin(Bx) (D? +...

A: Solution

Q: Find the inverse function of  f.​ f(x)=8x-1/3x-4 x cant equal 4/3

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Q: Find the partial fraction decomposition of each rational expression. Show COMPLETE SOLUTION

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Q: State the property presented 10 + (4 + 11) = 10 + (11 + 4) a. commutative property b. associative...

A: Here is given that  10+(4+11)=10+(11+4)

Q: Calculate the first-order differential equation below using transformation y = xv. dy x+3y = 2x – y ...

A: We need to solve the D.E.

Q: a and b are positive numbers. a, -4, b.... form a geometric progression. 14, a, b... form an arithme...

A: Recall: Arithemetic sequence : An arithemetic sequence of numbers such that the difference d between...

Q: In a free-fall experiment, an object is dropped from a height of h = 256 feet. A camera on the groun...

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Q: Find all first and second order partial derivatives of the function f(x,y) = x^3 sin(xy^2) + 3(x^4)y...

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Q: The weekly cost C (in dollars) of producing x units in a manufacturing process is given by  C(x) = 8...

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Q: Given a function f (x) whose graph is shown below. 3 2 h -3 2 -11 2 3 -2- Determine lim f (x).

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Q: F(y) = In(1 – 5y² +y³)

A: Topic = Derivative

Q: Consider f(x) = 1 – x for 0 1: an b) O an = c) O ao = 1/2, and for n > 1: a, = 4(1+ cos(nT/2))/n²n²...

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Q: 4. Summation of two variables: E(x, +y;)=E×, +£v, i-1 Example Evaluate the following given that x, =...

A: We can find the answers as below.

Q: In Exercises 33-36, the terminal side of 0 lies on the given line in the specified quadrant. Find th...

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Q: 2. Find the cartesian equation of the following: а. r = 3-sin e b. r? cos(20) = 4 9. r2 C. 4 sin(26)

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Q: cos(x) The Trapezoidal Rule approximation for da with n = 4 is:

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Q: 6. f(x) = V7x + 6; f'(3)

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Q: Find the number(s) b such that the average value of f(x) = 6x² – 26x + 32 on the interval [0, b] is ...

A: We have to find the value of b such that the average values of f(x)=6x2-26x+32 on the interval [0, b...

Q: Which of the following are rational functions? Select all that apply. Of(2) = = Of(t) : %3D x +7 Of(...

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Q: On the graph of f(x) = cot x and the interval 27,47), for what value of x does the graph cross the -...

A: We can find the answers as below