Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume the variable is positive.) In V x°(x3 + + 9)

Q: The size of a certain insect population is given by P(t) = 300e 02 where t is measured in days. At w...

A: Given query is to find the time when population of insects will be 1500.

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Q: The DNA molecule has the shape of a double helix (see the figure below). The radius of each helix is...

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Q: Consider the indefinite integral r8x³ + 7x² + 45x + 36 dx x4 + 9x2 Then the integrand has partial fr...

A: Consider the indefinite integral ∫8x3+7x2+45x+36x4+9x2 dxThen the integrand has partial fractions de...

Q: The ratio of working-age population to the elderly in the United States (including projections after...

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Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x2-3x)3 1. y = ; d'y/dx 2. Y = (7x + 2)5 3....

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Q: a) If q(n) = byn* + Bk-1n*-1+...+ b1n+ bo is a polynomial in the variable ne N with be # 0, show tha...

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Q: 2. (2.xy – sin x)dx + ( - cos y dy = 0

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Q: Evaluate lim i+ cos rj sin (at)

A: Follow the procedure given below.

Q: Find the value of c when f' (c) = 0 for f(x) = 3x² – 12x + 9, where 0 < x <4 а. 2 b.3 c. 0 d. 1

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Q: The number of women graduating from 4-yr colleges in a particular country grew from 1930, when 48,85...

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Q: sinx 4. lim X0 sin nx

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Q: Find the arclength of r(1) - (cost Ar sin r)i+ (sint-t cost)j+3k for %3D

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Q: function is given. h(t) = 2t2 − t;   t = 5, t = 7 (a) Determine the net change between the given va...

A: follow next step

Q: 1. If f(x) = x² + 4x – 5 and g(x) = x – 1, then lim f(x) equals x→1 g(x) с. -1/6 а. -6 b. 6 d. 1/6

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Q: uppose ā and b are two non-zero vectors in R3 and they are not parallel to each other. Then, their d...

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Q: Evaluate the DE y²/x(x+y) = -y'

A: Given

Q: An+1 Use the ratio n to determine if the sequence is strictly increasing or strictly decreasing. 2n ...

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Q: 5. The differential equation (3x'e' - 2xx+ (r'e' -sin y ldy = 0 is exact because ON

A: Partial differentiation is needed to be done after identifying M and N

Q: Find the differential equation having the solution as the equation representing all ellipses having ...

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Q: Solve the following problems below about derivative. Simplify your answers if necessary. 1. A three-...

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Q: (smaller t-value) (х, у, 2) %3 (larger t-value) (х, у, 2) =

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Q: Evaluate if y = x² sinx + 3x*tanx dx a. 2xcosx + 12x3sec²x b. x?cosx + 2xsinx + 3x*sec2x+ 12x³tanx c...

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Q: Transform the linear equation into its standard form and evaluate the DE. xdy-dy=(3x²-3x)dx-ydx

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Q: Evaluate the following double integral (x², coS y – sin x)dxdy.

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Q: 22. Determine Sz sin? y cos y dy

A: Given that: ∫0π2sin2ycos6ydy

Q: P15

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Q: The expression ā o (b o č) represents O a scalar something that does not make sense O a vector O a l...

A: I am attaching image so that you understand each and every step.

Q: Use the difference an+1 a, to show that the given sequence {a, } is strictly increasing or strictly ...

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Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

A: The given series is: ∑k=0∞ 56k+3

Q: (2х — 3)* y = - х +1 .2 х*у + 3ху3 — х %3D 3 X =

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Q: The differential equation 3y(x -1dx+(x³ +8y– 3xdy = 0; is exact because OM ON %3D

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Q: Let L be the line with parametric equations x = 3 - t y = 2 + 4t z = -1 + 2t Find the distance betwe...

A: We have to find distance between line and given point.

Q: 2004, an art collector paid $131,939,000 for a particular painting. The same painting sold for $26,0...

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Q: lim x 1. x- 3.

A: Follow the procedure given below.

Q: 6. Suppose f(x, y) is differentiable. x(s, t) = 4s + 3t + 2st + 3 and y(s, t) = 7s + 3t2 + 2. We are...

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Q: A man starts walking north at 6 ft/s from a point P. Five minutes later a woman starts walking south...

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Q: If 16 g of a radioactive substance are present initially and 5 yr later only 8 g​ remain, how much o...

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Q: Find unit vector in the direction of . Show all your work on your own paper; leave the box below BLA...

A: We are asked to find the unit vector in the direction.

Q: Eliminate Arbitrary Constant y^3(x+2y)=C^2y

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Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

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Q: Consider the indefinite integral r523 + 2х? — 72х-32 2x2 – 72x dx 16 - Then the integrand decomposes...

A: Evaluate definite integral ∫5x3+2x2-72x-32x2-16dx

Q: Activity 3: Limits of Functions A. Evaluate the following limits by completing the table of values. ...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

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Q: 4 -2 2. a

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Q: 1. y+/x +y = x at ( 3, 1)

A: Part 21,Given,            y+x+y=x , 3,1To find : The equation of the tangent line and normal line.

Q: A function f is given, and the indicated transformations are applied to its graph (in the given orde...

A: Topic:- function and its transformation   

Q: 3. The differential equation 3y(r -1dx+(x' +8y-3xdy 0; is exact because ам ON

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Q: Which of the following uses integration by parts? (1) fxcos.x°dx (3) fxlnxdx (2) [x'e*dx - In x dx (...

A: we have to find the integration by parts from the following