Explain how you would know whether to use combinations or permutations. You can use examples to make your point.

Q: The number of wiretaps authorized each year by U.S. state courts from 1990 to 2015 can be approximat...

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Q: Find the area of the region that lies under the graph of f over the given interval. Please solve usi...

A: Topic:- application of derivatives

Q: Find the slope of the following curves at the indicated point. 1. y= 4-x? at (3, - 5)

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Q: If f and 8 are continuous function of *, which of the following is true? A -dx%3D 8(x) None of the g...

A: From the given conditionsnone of the condition is trueCorrect option is  B) None of the given choice...

Q: Consider the functions z = -8 ex In y, x= In (u cos v), and y =u sin v. dz as a function of u and v ...

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Q: dx Find 1+tan x

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Q: (a) Find the 3rd degree polynomial whose graph is shown above. In other words, find the constants. (...

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts f...

Q: A firm produces two types of graphics calculators, x hundreds of type A and y hundreds of type B per...

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Q: (nx)dy/dx+2y=xy^(n+1) where n is constant, solve using linear equation diff eq

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Q: A retailer anticipates selling 4,000 units of its product at a uniform rate over the next year. Each...

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Q: What is an antiderivative? A it is the reverse process of differentiation. it is an integer that can...

A: Differentiation is also called derivative.

Q: Consider the function f() For this function there are three important intervals: (- 00, A, [4, B, an...

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Q: The resultant of two forces has a magnitude of 23 N in the northwest direction. What is the equilibr...

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Q: dy (x+2)² 2y dx 'x - 4 x – 4

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Q: (2x³ -x²y + y³)dx – x(2x³ + y³ )dy = 0

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Q: Consider the function f(r) (- 00, A, A, B), (B, C, and C, ox) where A, and C are the critical number...

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Q: Which of the following relation can be used to find the side b? a) 15 + 25 = b? b) 15? - 25° = b? c)...

A: Solution: Given Triangle is a Right Angle Triangle.so, According to pythogorean theorem, The square ...

Q: d) f(x) = (2r – 3)*(5x² + 2)'

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Q: Let f(x) the function defined below, where -1 < x < 1. TX f(x) = 2 + x2 + tan 2 (a) Find f-1(2). (b)...

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Q: S 2z2 cos 5z dz using Integration by parts 2 2 z² cos(5z) +cos(5z) – + C> is this the correct answer...

A: We will evaluate the given integral in order to find the given answer is correct or not in the follo...

Q: Find the extrema of the given function f(x, y) = 6cos(x? – y) subject to x? + y = 1. (Use symbolic n...

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Q: 9e3x dx eVe6x – 25

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Q: Let f(æ) (3- 2æ) 3. 2x)* f(r) has one critical value at A = For a A, fx) is Increasing Decreasing

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Q: II. Find the equation of the tangent and normal to the curve at the indicated point 1. y =x at (2,4)

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Q: 9. S e*(3 – 2e?)²dx

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Q: Regian bounded by y-x and y=X+2

A: Since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: (x² – y²)² – 4ay³ = yCosx + xCosy = 1

A: We have to find the derivative of the above functions .

Q: Consider the following sequence: ta) - { (-1)+1 {a,} n2 n=1 (a) Write out the first five terms of th...

A: (a) Given: sequence is &lt;an&gt;=-1n+1n2n=1+∞and can be expressed in the form of set as,&lt;an&gt;=...

Q: Find the general solution of the given second-order differential equation. у" - у' — 30у %3D 0 y(x)

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Q: Ax) = (2r' + 5)"

A: f(x)=(2x3+5)7  Then f'(x)=7(2x3+5)7-1×d dx(2x3+5)  f'(x)=7(2x3+5)6×6x2  f'(x)=42x2(2x3+5)6

Q: 1. The expression 16x? – 25y? is equivalent to: A) (4x – 5y)? C) (4x – 5y)(4x + 5y) B) (16 – 25)(x? ...

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Q: x + y sin 2 ) dx x sin 2 dy = 0 -

A: The solution is given in the next step.

Q: Use the difference an+1 – an to show that the sequence - {n – 6“}n=1 +0o - is strictly increasing or...

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Q: 1 ; -54 (а) Evaluate lim f (x) if it exists. State your reason(s). x→4 (b) Prove that f (x) is not c...

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Q: Write the first five terms of the sequence: +00 {Vn²+ 7n – n}n=1 Determine whether the sequence conv...

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Q: lim 19th 3. 1/-

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Q: Which of the following are examples of inductive reasoning (reasoning that relies on enumerative ind...

A: The inductive reasoning is that is where we reach the conclusion of the statement at the last of the...

Q: 2/3 Consider the function f(r)--7(x--3)**. For this function there are two important open fntervats:...

A: We need to find the Critical points of  f(x)=-7x-323

Q: Find the directions in which the function increases and decreases most rapidly at Po. Then find the ...

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Q: de 20. 90 +120 +9

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Q: Find the indefinite integral. sin 60 v cos 60 de Step 1 To solve the integral | sin 60 v cos 60 d0, ...

A: We can solve the indefinite integral as below.

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) f(x) = 4x...

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Q: 5(x- 4) 2x 7-15 The solution as an inequality is Type an inequality. Simplify your answer. Use integ...

A: 5(x-4)2≥2x7-15⇒5x-20 2≥2x7-15⇒5x2-10≥2x7-15⇒5x2-2x7≥10-15⇒31x14≥-5⇒x≥-5×1431⇒x≥-7031

Q: Find the maximum point, minimum point, and inflection point 1. y = x³ - 3x? + 8

A: Given query is to find maximum, minimum and inflection point.

Q: Question 7 Sslanta 122-9) Identify the correct u A (2y²+3)2 B ® (2+3) © (2y²+ 3) D 4y4+12y²+9 E None

A: Identity the u=2y2 +3

Q: Question #4 ( Car A 4 km At exactly 2 PM, Car A is four kilometers east of an intersection and drivi...

A: This question can be solved by using the concept of rate of change of physical quantities.

Q: Let T2(x) be the 2nd degree Taylor polynomial for the function f(x) = 7 + xe-2* centered at a = 0. F...

A: Given,            The function is fx=7+xe-2x centered at a=0.To find : The Taylor polynomial of 2nd ...

Q: 1 1 lim t->0 tv1+t t ou upload at the end of this c

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Q: |1 0 A=[2 21 1 13 31 |A|=4 O |A|=1 O |Al=21 O |A|=0 O 900

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Q: Given dy (1 + 3 k). dx 13 2 What is the value of k such that y is parallel to the curve y = 3x +1 at...

A: Given,            dydx=2131+52x-32-34k            The curve is y=3x+1 at x=1.To find : The value of ...