What is the general solution? d3x d?x – 4x = 0 dt3 dt2

Q: Discuss the similarities and differences between what it means for a sequence to converge and what i...

A: Let's find. 

Q: 21. 22. (D' + D - 9D' – 13D² + 8D + 12)y 0. Ans. y Ce+cze

A: We will solve the given differential equation.Below find the solution in the image.

Q: If a Vector has a contonr and touo events. and sets an angle of 45 degreess then its Components are ...

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Q: ) Prove that r1 and r2 intersect and calculate their intersection B) What is the angle between r1 an...

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Q: Write the parabolic equation in standard form and identify the vertex, focus, directrix, and directi...

A: As you have asked multiple questions so I have answered first question as per the guidelines.

Q: Express the repeating decimal as a fraction. 0.904818181818... 0.904818181818... =

A:

Q: tan x sec xdx

A: Follow the procedure given below.

Q: tan³ 2x r3 lim x→0

A: Given that: limx→0tan32xx3

Q: 2x+9 10. S x2+6x-4

A: Follow the procedure given below. 

Q: 3) Using Quotient Rule ()'=€'gfg),find (±)' = (3×/eX)' = A) (3/e)X[In3-1] B) (3/e)x-1 C) 3×ln3/eX D)...

A: Topic:- derivatives   

Q: Express the following functions in terms of function f where y=f(x). Professor Lapan's Helpful Hint...

A: We can solve both the part as below as per the instructions of Professor Lapan's Helpful Hint:.

Q: 9-30 Determine whether the series is convergent or divergent. 20. S. f it is convergent, find its su...

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Q: A restaurant purchased kitchen equipment on January 1, 2017. On January 1, 2019, the value of the eq...

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Q: The velocity of a moving particle at any time t is given by expression 12t2 + 10t +7. If when t = 1,...

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Q: Type C if the statement is TRVE Type A if the statement is FALSE Typc D if the statument is NCIther ...

A: Given statement is  fx and fy are the special cases of directional derivative in the directions of t...

Q: Find equations of all lines having slope - 1 that are tangent to the curve y = x-8 Select the correc...

A:

Q: + 3х — 1 V4r6 – 2x lim -00

A: Given that:limx→-∞x3+3x-14x6-2x

Q: sec? V5 ), tan 17 dx

A: Evaluate the given integral by using substitution I=∫sec2x5tan17x5dx

Q: 3. Evaluate all the first partial derivatives of the given functions at the given point. of of 1 a) ...

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Q: is Convergent divergent. Evahate Determine whether each those that are integral or Converyent. 1 dx ...

A: The given integral,        ∫0414-xdx

Q: x2 + 8x + 15 if x 2. lim f(x). x→2+ Find 15 20 30 35

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Q: Let f(z) = |r - 5|. Evaluate the following limits. S(z) - f(5) lim Z-5 エー5. f(z) - f(5) lim Z-15 I -...

A: Given function f(x)=x-5 use the concept  for h>0limx→a- f(x)=limh→0f(a-h)limx→a+ f(x)=limh→0f(a+h...

Q: 4.cos(x) Let f(x) = and calculate sin x f(x) dx by using integration by substitution. What was your ...

A:

Q: The "Tribonacci" sequence is the sequence defined by To = T1 = T2 =1 and %3D Tn+3 = Tn + Tn+1+Tn+2 f...

A: The ''Tribonacci'' sequence is the sequence defined by,  T0=T1=T2=1 and Tn+3=Tn+Tn+1+Tn+2

Q: Solve the limit using table of values.

A: Given that: r(x)=x-2x+5,               x≤-44,                       -4<x<0x2-7x+4,          0≤...

Q: Problem 2 Evaluate the integrals. (a) •1//2 4 dx 1/2 (b) V3/4 dx 1+16x2 (c) | tanh (x) dx (d)

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Q: Determine whether the integral is convergent or divergent. The integral from negative infinity to 0,...

A:

Q: 13 dk

A: Given :      ∫e73k-13   dk

Q: Find the distance from the point (3, 3, 5) to the plane 3x - 3y + 3z = 5. Leave your answer correct ...

A: topic- distance of a point from a plane 

Q: 1. A girl has 6 bags, 11 dresses and 7 pairs of shoes. On how many different ways can she dress up?

A: NOTE: As per our guidelines, I have solved the first problem in the picture. If you want the answer ...

Q: A scientist is trying to find out how sleep quality and class attendance affects student test scores...

A: Given that, There is a table of sleeping hours (z) and lectures (x) for giving the grades to the stu...

Q: The number x of printer cartridges that a store will sell per week and their price p (in dollars) ar...

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Q: using the function given below evaluate the following

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Q: Evaluate the given integral, where CC is the circle with positive orientation: 2-32 dz Sc C: 12 + il...

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Q: x°(4x2 – 1) dx is equal to |x°(2x – 1)3 A. x5(5x + 3) + C 15

A:

Q: Determine the volume of the rotating object using the shell-tube method Volume ( πr2h) Area bounde...

A: Given

Q: 1) In Problems 1 through 4, given f(x) = 3× , g(x) = eX, h(x) = In x. Use Dr. Dai's Differential and...

A: Topic:- derivatives

Q: immediately

A: We will find the integral. 

Q: Find the first partial derivatives of the function f(x, y, z) = xz – 5x²y³z*.

A: Find the first partial derivative of function f(x,y,z)

Q: Get the derivative of dz/dx. XY z =

A: Here we will find the derivative dz/dx,

Q: (2x+3)y'= y+y²(2x+3)^½ Linesr equation or bernoulli equation

A: 2x+3dydx =y+y22x+312

Q: In | lim x |

A: We can solve the limit as below 

Q: Find lim (x,y,z)-(0,0,0) x²+y2+z4 xy+yz?+xz2 if it exists, or show that the limit does not exist.

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Q: 4dt 5t+ 2

A:

Q: Find the minimum speed of a particle with trajectory c(t) = (t,14) for t 2 0.5. (Use decimal notatio...

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Q: ind by implicit differentiation if y is defined as a function of x by the equation xy' + x? = x + 3y

A: Topic = Differentiation

Q: e20 do 10. 1+ 3e20

A:

Q: An+1 to determine if the sequence An Use the ratio is strictly increasing or strictly decreasing. 5n...

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Q: Find frxx and fryx for f(x, y) = xty² – x³y.

A: We will find the partial derivatives. 

Q: du (4-2) +4

A: Find your answer below