(a) f(x) = (6x² –8x + 4)4 2х -5 (b). у 3D 2.x2 – - 10 2. The population of a city grows from a initial size of 1000, to an amount giver p= 2000+ 21³ Find (a) growth rate (b) growth rate at t = 8

Q: 4 Find the inverse Laplace transform of s? + 8s

A: As we know from the property of the Laplace transform; L-1a·fs+b·gs=a·L-1fs+b·L-1gs And…

Q: 4. Find all real values of x such that x-1|> Ix+11. (-00,-1] (-00,0) O 1,0) O 1,1) O None of the…

A: Interval

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A: x=32t-cos tdxdt=32+sin tvertical tangent line:dxdt=032+sin t=0sin t =-32t=2nπ+4π3  and t=2nπ+5π3,…

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A: Amount Paid after 6 months= 9250 rate of interest=12%=0.12 Recall: Amount after time t years…

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A: Explanation of the answer is as follows

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A: This is a problem of differentiation . Based on the formula and concept we will answer the question.

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A:

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A:

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A: Given problem:-

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A: Let's find.

Q: Q4) Find for the following functions (choose five only): dx 1. у %3D 2** + е2х-1 2. y = sec x tan x…

A: 1) y=2x2+e2x-1Differentiatey'=2x2ln(2).2x+2e2x-1dydx=2x2+1.xln(2)+2e2x-12)…

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A:

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A:

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A: Given A=-16-3504 & B=3209 To find AB:

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A:

Q: 2. Let f(x) = Determine the exact location of any turning points. Use the second derivative to…

A: We can solve this as follows:

Q: 4. The dimensions of a rectangle are measured to be 8 ± 0.1 by 4 0.2 inches. What is the approximate…

A: Let's find.

Q: k 7) Determine the interval and radius of convergence for E k! x"

A: Given

Q: Given f)- x-2x+1 メート a)catical pomts: X= 6)intervalks) of mcreasing: Cintervalrs) of decrensing:

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Q: 1 2 1 | | (x² + y»2 + z²)dzdydx lo Jo

A: To evaluate the given triple integral: ∫-10∫02∫01(x2+y2+z2) dz dy dx=∫-10∫02∫01(x2+y2+z2) dz dy…

Q: Q4) Find for the following functions dx 4. coth(ln x) y = 2x+3 3x+4 6. y = tan-1 V4x3 - 3

A:

Q: (x+a)² 3. Let f (x) where a is a constant and a -1. (Note if a = -1, then f(x) is a line %3D x-1…

A:

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A:

Q: For what values of x in [0, 2T does the graph of f(x) = x + 2 sin x have a horizontal tangent? List…

A:

Q: Question The piecewise function f (x) is graphed below. Use geometric formulas to evaluate the…

A:

Q: Let u = (1,2,3) and v = (2a,2a,a^2) Which of the following values of a ensures thatu and v are…

A:

Q: dy Q4) Find for the following functions dx 1. y = 2x? + e2x-1 2. y = sec x tan x 3. y = t2 + 2t t =…

A:

Q: e cos-1x 5. S V1-x2 dx

A: To evaluate the given integral.

Q: the integral dx Va? – x? e may use x- educe the integral to a sine and dx= a cose de substitutions…

A:

Q: Question 6 dx Evaluate the integral improper integral (2r – 1)3 A 1/9

A: Given: ∫-∞ 012x-13dx

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A:

Q: B. Solve the following problems using differentials and linear approximations. Show complete…

A: Given problem:-

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A: The standard form of equation of a conic section is Ax2+Bxy+Cy2+Dx+Ey+F=0, where A, B, C, D, E, F…

Q: Find the centroid of the given region. ... y = 2-x y = x A (3/22,45/61) B) (5,15) (8/23,76/111)…

A:

Q: 5. Fill in the blank: For x, y ER. Equality in the Triangle inequality is satisfied, i.e. Ix+yl =…

A: x+y=x+ysquare on both the sides;(x+y)2=(x+y)2 x2+2xy+y2 =x2 +2xy+y22xy=2xyxy=xyis true only…

Q: Given that 5i is a zero of p, write the polynomial in factored form as a product of linear factors:…

A: Given that the polynomial is a6-11a5+65a4-331a3+1024a2-1400a+600 and 5i is a zero of the polynomial.…

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A:

Q: sin x dx 1. V2-cos2x

A: integration

Q: S csc2xdx cosx O sinx+C O -cotx+C O -cotx

A: By using standard formula.

Q: The discontinuities of the function f(x) = %3D 4х-9 are: х2—2х-15 Select one: O 5,3 O -5, -3 -5,3 O…

A:

Q: Find an equation of the tangent to the curve at the given point. x = 8 sin(t), y = t2 +t, (0, 0)…

A: The given curve,x=8 sin(t), y=t2+t at (0,0)

Q: A tank in the shape of an inverted cone has a height of 15 meters and base radius of 4 meters and is…

A: Dear learner, As per our guidelines we can provide the solution for first one only. Kindly post…

Q: メ-1 lim メ→( -2x

A:

Q: z = 0, y = 1, у %3D1, z = x² + y? y = x².

A:

Q: Find the limit. lim (t i - 7 j+1² k) t-5 lim (t i- 7j+? k) = i i+ i j+ i k

A: To find the limit of the given vector valued function.

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A: We can solve this as follows:

Q: Answer the following True or False. If | (f(=) - 9())dx D. gives the area betvween u – f(r) and 1 -

A: Inverse function means it is the reflection along the line y=x. Reflection does not change the area…

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A: Let us sketch the situation roughly using these following information: N = North, S = South, E =…

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A:

Q: A. Solve the following problems using the concepts of Parametric Equations. Show complete solutions.…

A: Given parametric equations of a curve.