Answer in complete solution in this Differential Equations: (16D7 – 32D6 – 40D5 + 72D4 + 37D3 – 40D2 – 7D+ 6)y = 0

Q: nAבencח x2 f(x) Let k(x) = %3D 2x- 3 Find k'(-1), given that f(-1) = -2, f'(-1) = –3. Sorry, that's ...

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Q: Convert the parametric equations of a curve into rectangular form. No sketch is necessary. x = In(2t...

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Q: Compute dy/dx for the function. 5) y = In sinh 6x

A: topic- derivative of a function

Q: II. Solve the following systems of nonlinear equations: y +2x -3= 0 1. y + x2– 6 = 0 2. 4x2+ y² = 13...

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Q: Which substitution is best to use in order to solve the integral / 2sinx cos xdx? Select one: u=cos ...

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Q: Find the limit by rewriting the fraction first. ху — у - 8x +8 lim х - 1 (х,у) —>(1,3) x+1 ху — у — ...

A: In this question , we can find the limit . Firstly , we arrange numerator term and cancel the denomi...

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Q: Use the Substitution Formula in Theorem 7 to evaluate the integrals in Exercises 1-24. 2. а. rV x3 :...

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Q: Find the volume formed by rotating the region enclosed by 10y and y = x with y > 0 about the y-axis ...

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Q: 3. For the series 2 + 6 + 18 + 54 + ... etc., find; (i) the ..... th 12" term (ii) the sum of the fi...

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Q: Find the equation of the tangent line to the graph of f(x) = xcos(4x) at x= 4 Enter your answer in t...

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Q: 5 In (x°); xo =1

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Q: An angle that has its terminal side lying along an x or y-axis is called a quadrantal angle. Which o...

A: Note: Here there are two separate questions, according to policy of our company we will solve the fi...

Q: f. xy³y' = x +In(x)

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Q: der the following function. (x) = 9 - |x - 1| (a) Find the critical numbers of f. (Enter your answer...

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Q: Solve the differential equation below: dx=(x+e^y)dy

A: solution:-dx=x+eydydxdy=x+eydxdy-x=eysolving the first order linear differential equationdxdy+Px=QI....

Q: Question The position of a hummingbird flying along a straight line is given by the function s(t) = ...

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Q: 5. Evaluate J2xdx, a, x' +c b, x+c C. 2x+c

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Q: foex-2X+1, find f (xth)-f(x)

A: The function is given by fx = x-2x2+1 To evaluate: The expression of fx+h-fxh

Q: 1. Determine the order and degree of the differential equation d*y -2.x² 2 4 ´d²y + 4x dx2 -1 = 0. (...

A: Order of differential equation is the highest derivative in differential equation. Degree of differe...

Q: 10 5 F10. -5 10 Fill in the blanks below. (Note that it is common to say a limit "has a value of o" ...

A: As we observe the graph, the vertical intercept is 4/3. So f(0)=4/3

Q: The graphs of two functions f and g are shown below. 4 3 2 12 4 5 -2 -4 a. Write a function formula ...

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Q: c. Determine the average rate of change of the distance of the car from the stop sign with respect t...

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Q: The functionf is defined as f(x) = (x – 5)(x + 6)². Answer the following - questions without using a...

A: Solution : fx=x-5x+62a. if fx=0x-5x+62=0x-5=0,x+62=0x-5=0,x+6=0x=5,x=-6roots are,x=5,-6

Q: Find the limit of the sequence, using L'Hôpital's rule when appropriate. n2 8n

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Q: 7. Find the value of p for which the series >(-3)*(p – 5)" is convergent. n=1

A: This series will be convergent  if the  common  ration "r" will be less than 1.

Q: Σ (х +9)" 2" n=0

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Q: c. Suppose Primo Pizza's profit on a given day is always the same as the profit of Pizza Supreme's p...

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Q: Determine the behavior of the functions defined below. If a limit does not exist or the function is ...

A: A function is undefined when the denominator is equal to zero  Here denominator of h(x) is -x³+11x N...

Q: Use the formula for the binomial series: m(m–1)---(m-k+1),★ + k! m(m-1) 2! m(m-1)--(m-k+1) „k if k=1...

A: expansion through maclaurin series .

Q: b) Find the maximum volume that such a box can have.

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Q: Question The position of a car traveling along a highway is given by the function s(t) = -r+ + 121-5...

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Q: Identily the asymptotes. Give your answers in exact form. Do not round. *-4x+2x-5 a(x) = X-6 Separat...

A: To find horizontal, vertical and slant asymptote.

Q: Use the properties of logarithms to expand the following expression. yz log Each logarithm should in...

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Q: By considering different paths of approach, show that the function below has no limit as (x,y)→(0,0)...

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Q: At what points (x,.y.z) in space are the functions continuous? a. h(x.y.z) = In (4z - 5x - 3y - 4) b...

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Q: Given an autoregressive model y(t) + a1y(t – 1) + azy(t – 2) = e(t) derive and plot the area in the ...

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

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Q: Find f"(7) given f(x) =- sin(z – 3x) our Answer:

A: Please see the below picture for detailed solution. 

Q: Given cost function C(q) = q° - 130q + 24000q, what is the minimum average cost? per item. (Round to...

A: The cost function Cq=q3-130q2+24000q

Q: b. Consider f(x) Complete the x + 7 following statements. i. As x → x, f(x) → Preview ii. As x → ∞, ...

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Q: 6x Consider the rational function f(x) = 3 a. On your own, complete the following table of values. 6...

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Q: I. Solve the inequalities and write the solution in interval notation: 1. 2x +3<7x- 23 2. -8< 2x - 5...

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Q: A tank initially contains 10 gal of fresh water. At t= 0, a tap is opened, pouring a brine solution ...

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Q: Determine if the graph can represent a polynomial function. If so, assume that the end behavior and ...

A: topic- polynomials

Q: Determine the behavior of the functions defined below. Note that it is common to write f(x) → " to i...

A: The given function,    fx=9x2+5x-6

Q: An auto weighing 2,500 pounds is on a street inclined at 10° with the horizontal. Find the force nec...

A: Find your answer below 

Q: . Graph (2) on the same coordinate axes, labeling the points corresponding to those you labeled on t...

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Q: 5 cos(30). curve r = Set up an integral for finding the area that it encloses. de

A: We have to find the area of the curve