Give a recursive definition for each of the following. (You don't need to prove your definitions are correct.) a) The function f (n) = 9n + 3, n 2 1. b) The function S(n) = n² +n, n 2 1. 111 c) The set S =

Q: F F) s an antiderivative of x-+x-, then what is the value of F(1)-F(-1)2 -1

A:

Q: II. Find the third derivative of the following: 2x-7 1. y = 2x+11

A:

Q: ((2- sec?r) ela (ale) sec³x sec(3A – x) What should be the value of A for -dr to be integrable using...

A: We need to find the value of A such that the integral written below is integrable using the formula ...

Q: dx For -= In(F (x))+C. What is F (/3) if C=0? (x+x³) (xtan-1(x) + 1)

A: Let's find. 

Q: 4) 98)=(40*– Bu) 5 %3D -

A: Given that      g(u) = (4u7- 8u)-5

Q: If F(x) is an antiderivative of x-2+x-!, then what is the value of F (1) – F(-1)?

A: Given,            Fx is an antiderivative of x-2+x-1.To find : The value of F1-F-1.We know that,    ...

Q: Find the area of the region bounded by the curve y=1-- x² аnd the x— аxis. (A 8 sq. units B) 4 sq . ...

A:

Q: In Example 2 we saw that Airbus A330-300s seat 330 passengers and cost $250 million each, Boeing 767...

A:

Q: 10 -dx may be written as Aln|secB"+ tanB"| + c where A, B, and C are constants not equal to zero. Ev...

A: The given integral,         ∫10xcos 10xdx

Q: sinx cosx - e sinx +x The integral -dx may be written as me"sinx + px + ge* +C, where m, n, p, q, r,...

A: The integration of the integral is (cosx-esinx+esinx+x)/esinx.

Q: Maximizing Profits The weekly demand for DVDS manufactured by a certain media corporation is given b...

A:

Q: Find all critical points of the function f(x) = x-15 – x-16. (Use symbolic notation and fractions wh...

A:

Q: For /- (x+x³) (x Tan-lx+1) dx = In[F(x)]+C• What is f(/3) if C = 0? -1 3 -1 + + + -15-15-15

A:

Q: A. What would be the initial population of the mosquitos colony? B. What is the population of the co...

A: Substitute x= m in the equation to get p(m)

Q: 2. Let by = cos and cn = cos for all n e N such that n > 2. Determine whether the given n – 1 series...

A: Using Telescoping series. 

Q: Question dty of y = -10 sin (x) – 8 cos (x). Find %3D dx4 Provide your answer below. d FEEDBACK MORE...

A: Given query is to find the derivative of the expression.

Q: Find the derivative of the function. %3D y = /x(x – 3)² y' =

A:

Q: The integral of (10*/ cos 10*)dx may be written as A ln | sec B* + tan B* | + C. Where A, B, and C a...

A:

Q: Cost and Revenue functions C(q)=q3−11q2+55q+5000 and R(q)=−3q2+2500q​, what is the minimum marginal​...

A:

Q: Use the Trapezoidal Rule to approximate the area under the curve f(x) = 4x2 – x on the interval [2, ...

A: The given function is; f(x)=4x2-x.

Q: A stone is thrown vertically upward from the top of a house 112 feet high. If it was thrown at 96 fp...

A:

Q: dy 2y + cos dx ||

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: and the 24. Find the area of the region bounded by the curve y=1- 9. X-аxis. A. 6 square units В. о ...

A:

Q: dx Evaluate Зх — 12 A 00 B + 00 1

A:

Q: (2-sec?x) lnae sec(3A -x) sec'x dr to be integrable using the formula What should be the value of A ...

A:

Q: cos2x - sin2x cos2x -dx =-F(x)+C• For What is F(x)? cosx – sinx 2 sinx + -cosx+ cosx + -sinx 3 3 2 s...

A: Using cos(2x) =cos2 (x) - sin2 (x) 

Q: d²y dy 30y = 0 dx2 dx

A: Given :d2ydx2-dydx-30y=0

Q: sin-cos-sino d®? 2 2 What is the integrable form of 2- 1 du B 2 | cosu du 1-u² du O -2/- D sinu du A

A:

Q: FIND THE ARG CZ) OF THE COMPLEX NUMBERS 2

A:

Q: I. Solve the following: 1. Given: y = 2x - Find: a.) dy/dx b.)y" 2. Given: 16y – 9x? = 144, find y" ...

A: Given  1. y=2x-13+43x-2 if x=22. 3x+4y3=5 If (3,2) To find slope m:

Q: Find the area bounded by the given curves and lines. 1 (2-2)3 x = -2 x = 0

A: This question is based on application of integration.

Q: sin-cos-sine de has the form --F(0). 2 The resulting integral of +C. What should be the value of e t...

A:

Q: Which of the following is an improper integral? dx A 2x+ 8 B In(x++1) dr -1 In3e CO.X хе dx -2 D d. ...

A:

Q: 2. Find the volume of the solid formed by the region inside the sphere x? + y? + z? = 16 and outside...

A:

Q: 10* -dx may be written as AlnlsecR* tanB*+ C, where A, B, and C are constants not equal to zero. Eva...

A: Solution:

Q: 10. Two numbers sum to 100. How small can the sum of one number and the other number be? square of t...

A:

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the eract answers using the provide...

A: (a) The vector v→=9i→-12j→ as v=(9,-12). Let a vector in opposite direction of v=(9,-12) be u→. Fin...

Q: Make a problem solving question with full solution regarding area of circle. Include a graph and dia...

A: We will take a problem

Q: asap

A: We have to choose the correct option according to the given information

Q: Minimizing Packaging Costs A rectangular box is to have a square base and a volume of 63 ft3. If the...

A:

Q: CHAIN RULE DERIVATIVES Directions: Defferentiate the given functions. 4) glx) - (Aut - Bu)

A:

Q: b -x" + -xP +C. What a d heral antiderivative of (3x2 - 4) 2x2 can be written as m m

A:

Q: Determine the convergence or divergence of the following series. 1 (a) Σ (Use Integral Test.) n(ln n...

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: The resulting integral of sin- -cos-sin do has the form -F(e) +C. What should be the value of e to m...

A: To evaluate the value of theta such that  F(theta)=0  And F(theta) is obtained by integrating the gi...

Q: Consider the points A(1, -1,4), B(2,-3, 2), C(-1, -2, 2), and D(4, 3, –6). (a) Find the volume of th...

A: The answer is shown in step 2.

Q: 人 こ 5

A:

Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

A:

Q: If- csc 0 – 1 csc 0 + 1 = 2 sec 0, and 0 and acute angle, then the value of (cot 0 + cos 0) is 1+ v2...

A:

Q: dx Evaluate 3x – 12 O - 00 + 00 1

A: Let's find. 

Q: What are the radius and center of the circle that passes through the points (2,0), (18,0), and is ta...

A: From the equation of the tangent line we can deduce that the slope of the radical line would be -1/4