Evaluate the integral. dx x In x6 O !In(lIn x) + C O In x6+ C O tin xé + C O In(In x) + C

Q: Find the x intercepts of the function f(x)=5|x-3|-3 (pleaes show steps)

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Q: Find the slope of the curve at the indicated point. find the equations of the tangent and normal lin...

A: Follow the procedure given below.

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: 45 6 7 2 3 8. -1 -2 -3 2.

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Q: x* + x³ + x² – x + 1 – x + 1 x(x² + 1)²

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Q: What is the derivative of the following function

A: Given that: 1. h(y)=y1-ey2. f(t)=1+5tln(t)

Q: Q3 (10 M)/find the polar form of (-1+i)

A: See step 2

Q: Find a) the greatest common divisor (GCD) and b) the least common multiple (LCM). 50 and 120 a) The ...

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Q: An object is shot upwards from ground level with an initial velocity of 3 meters per second; it is s...

A: Let's find. 

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

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Q: 18( cos54 + isin54°) 3(cos102" + isin102" )

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Q: Find the volume of the solid generated by rotating the region bounded by y = sin°(x) and y = 0 betwe...

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Q: a. What is the bridge's height above the water? feet Preview b. How many seconds after being thrown ...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: Given: y=x+1, y=0, x=0, x=7

Q: Evaluate the integral fw(2w + 3)² dw A.) w+4w3+w2 + C B.) w+2w3+9w2 + C C.) w2(w2+4w+9/2) + C D.) 2w...

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Q: 1. A missile fired ground level rises x meters vertically upwards in t seconds and x = 50t – 6.2512....

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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: Second-order non-homogeneous ordinary differential equation given a y" +3y' – 10y = e²* Calculate th...

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Q: Find the inverse Laplace Transform for Cari Songsangan Tranformasi Laplace untuk 1+(s-2)2 F(s) =5-2)...

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Q: Bin decides to fly to Hono, Maui from Seattle, a distance of 2,678 miles. His plane travels at 567 m...

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Q: 2.

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Q: Evaluate the given limits numerically and graphically: lim /x² – 36 X-6 1. 4. X-3 x2 - 9 1 lim 2 Vx2...

A: 2. The given limit is limx→21x2-4.   It is evaluated as follows: If limx→a-fx≠limx→a+fx then the lim...

Q: yx+1 y=0, 0. 7 about the ras Siatch the region. Skatch the solid. and a typical disk or washer 10

A: Here, the given region is bounded by the curves: y=x+1, y=0, x=0, x=7

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

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Q: xª + x³ + x² – x + 1 2 x(x² + 1)²

A: Here we have to find the partial fraction decomposition of the given fraction.

Q: Given an ordinary differential equation in the form: (xy + y² + y)dx – (x + 2y)dy = 0 (Eq. Test the ...

A: According to question,Given Differential equation,xy + y2 + y dx - x + 2y dy = 0

Q: Use the graph to find the limit (if it exists). Sx + 3, x + -1.5 lim f(x), where f(x) = { -3 ,x = -1...

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Q: Sketch a possible graph of a function that satisfies the given conditions. f(-1) = -7; lim f(x) = -2...

A: Given that f(-1) = -7. Therefore (-1,7) is a point on the graph .when x tends to -1 from the left si...

Q: P(z) how might the function 9(x) Question 3: When working with rational functions of the form f (x) ...

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Q: Find all the values of e such that the given series would converge. (z – 11)" n( – 7)" n=1 The serie...

A: series

Q: An ellipsoid S has the parametric equation S (0, Ø) = (cos0 sing, 2sino sinø, 4cos ø) where 0 and øa...

A: Given equation of ellipsoid S(θ,ϕ)=cosθ sinϕ , 2 sinθ sinϕ , 4 cosϕ

Q: If labor (x) costs $235 per unit, materials (y) cost $169 per unit, and capital (z) costs $60 per un...

A: Given that: Labour costs $235 per unitMaterials y cost $169 per unitCapital z costs $60 per unit.

Q: 2. Find the indicated values. f(g(3)) f(x) 9(x) 51 54 S(8(1)) g(S(1)) 4- 4- 8(5(0)) 3 S(S(5)) 2- 2 S...

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Q: Show that f(x,y) = 1-x* - y* has a relative maximum, even though D in the theorem is 0. The critical...

A: Given : f(x, y) = 1 - x⁴ - y⁴

Q: d²x dx 5 dt2 2- 3x = -9t2 – 1 - - dt dx When t = 0, x = 1, = 0, find x when t = 2 dy %3D -

A: Please see the below picture for detailed solution. 

Q: x + 1 dx x,

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Q: 15. A particle moves along a straight line and has acceleration given by s"(t) = 5t + 3. Its initial...

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Q: A town has the population 9000 people at year t=0. write a formula a. The population shrinks by ...

A: A town has the population 9000 people at year t=0. write a formula  let a=9000, t=0, Let t1 is the p...

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

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Q: Ordinary Differential Equations M- 06. Solve the following initial value problem over the interval f...

A: since you have asked about only part a  Given initial value problem dydt=yt3-1.5y     ; y(0)=1

Q: Given the geometric sequence: 36, 120, 400, ... Find an explicit formula for an, where the first ter...

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Q: Find the values of m and b that make f continuous everywhere: 42 +a – a2 I+ 6 if x 3 When showing y...

A: Follow the procedure given below.

Q: V(x) = In(sin(x) – cot(x))

A: Use the formula of derivative of composition of functions

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: dy %3D 14 If and y = when x = 1, find y(2). dx V3x-2 27

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Q: Hannah buys 2 dozen roses. Of these roses, are red, and the rest are white. How many white roses doe...

A: We need to find number of white roses.

Q: Examine the following functions for maxima-minima and trace the curves. a. Y = x* +1 a²x b. Y=- a²+x...

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Q: x² – 1 if x 5 | Given: f(x) = %3D 3

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Q: 6x³ – 1 у — 2х + 1 3x* - 4

A: