Below are the graphs of 6 functions A-F. There are also graphs of 5 derivative functions 1-5. Match each function with it's derivative. One derivative is missing! Try sketching it yourself before looking at the answer. Functions A-F: Function A Function B Function C Function D Function F Function E

Q: The critical number(s) of f(s)=e4s+15 is/are

A: There does not exist any critical numbers

Q: Given the differential equation of the family of circles with radius of 2 units and whose center's o...

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Q: You are thinking of making your home more energy efficient by replacing some of the light bulbs with...

A: Let x=number of compact fluorescent bulbs purchased. y= number of square feet of wall insulation pur...

Q: Use the method for solving homogeneous equations to solve the following differential equation. 9(x +...

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Q: opulation P(t) in a forest, where the time unit is per cic equation dP 1 P(2500 – P]. dt 2500 n by t...

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Q: If A is a 2 x 2 matrix a b A = c d then A is invertible if and only if ad - bc + 0. Verify that the ...

A: Note: A square matrix A is invertible or non-singular if and only if det(A) is non-zero.  If A is in...

Q: onvert the rectangular coordinates into spherical coordinate

A: To convert the rectangular coordinate into the spherical coordinate. F=−8i-12j+6k

Q: 3.1 Consider the following integral and answer where C is the equation |z – 3i| = 2. (a) Use the app...

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: o find the unique solution p^∗ ∈ [0, 1] of the equation x^3 + 6x^2 − 4 = 0, rewrite the equation in ...

A: To find the unique solution p*∈[0,1]  of the equation  x3+6x2-4=0 Here we need to rewrite the equati...

Q: (24)*. Use the inverse matrices to find АВ and 1 3 1 4 2. 4 2 1 A-1 = B-1 = 2. 2 2 4 1 -2 2 4 -1 (a)...

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Q: For purposes of this exercise, we will think of the Mississippi River as a straight line beginning a...

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Q: Suppose f and g are both one-to-one functions, and let h be the composition f and g; that is, h = f ...

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Q: Solve the IVP of differential equation and write the interval / a) where the solution exist, b) solu...

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Q: Suppose f(z) = (z – i)³e² is analytic inside and on circle |z – i| = 3. Then the upper bound of |f(3...

A: Given that f(z)=(z-i)3ez- is analytic inside and on the circle|z-i|=3To find the upper bound of |f(3...

Q: The velocity of an object is shown in the graph below 7+ 6- 5- 1 1 4 3 Time (sec) 5 Calculate the di...

A: To calculate the distance traveled over 5 seconds by finding the area under the curve.  

Q: 12. Suppose (an) is a Cauchy sequence, and that (bn) is a sequence satisfying lim,co lan - bn| = 0. ...

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Q: a) Fared has RM 40000 to invest. He wants to invest in three stocks P, Q and R in the ratio 3 : 5 : ...

A: a) Given  Fared has RM 40000 to invest. He wants to invest in three stocks P, Q and R in the ratio 3...

Q: Transform each of the following wffs into a full DNF if possible, explain your steps. (a.) (A v B) A...

A: To convert a well-formed formula (wff) into a full disjunctive normal form (dnf), we perform the fol...

Q: Find the average rate of change of the function over the interval [-2, 1] f(x) = 2.x³ – 5.x +3

A: To determine the average rate of change of the below function over the interval [-2,1]. fx=2x3−5x+3

Q: Suppose that x = x(u, v) ạnd y = y(u, v) are given implicitly by system (u = x + y ! (r + 0). a)show...

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Q: x²-2x-3 9. Find the points of discontinuity of the function: y = x²-7x+12 For each discontinuity, id...

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Q: 1. True-False. If the assertation is true, quote relevant theorem or reason, or give a proof; If fal...

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Q: Every year, the students at a school are given a musical aptitude test aptitude) to 5 (high musical ...

A: MEDIAN IS THE VALUE OF (n+1)/2th observation.

Q: Briefly explain what is mathematical induction. Then present a differentiation or integration equati...

A: Mathematical induction is a method of proof for the statement in which if the statement p(n) is true...

Q: Write the contrapositive of each implication. * (c) If f is continuous and C is connected, then f(C)...

A: The contrapositive of p=>q is -q=> -p

Q: epx dx 1+ et

A: To evaluate the  integral ∫-∞∞epx1+exdx we use substitution and then standard formula.

Q: find the edge length of a cube with the give volume 216 cube units

A: The volume of cube=(edge)^3

Q: Suppose f is a linear function such that f(3) = 3 and f(7) = -4. Find the equation for f. (Use x as ...

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Q: Let V, and V, be the volumes of the solids that result when the plane region bounded by y = 1/x, y =...

A: We find c, when V1=V2

Q: For each of the sets listed below, match it to the correct SIZE of that set. L countably infinite Il...

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Q: A water storage container starts leaking at time t = 0 minutes. The water leaks out from the contain...

A: The water leaking as a function of time is given ft=10e-0.1t If leakage starts at t =0 Then in water...

Q: systems of linear equations and matrices. — x + 2y = 4 y — z = 0 x + 3y — 2z = 5

A: We will find out the required solution.

Q: We usually write numbers in decimal form (or base 10), meaning numbers are composed using 10 differe...

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Q: If z1 = 13 – 10i and z2 = -15 + 9i, determine the following: ) (z, + z2) (Polar Form)

A: The general form of a complex number is given by z=a+ib, where a,b are two real numbers and i=-1. Th...

Q: Use the methods below to compute v2, i.e., solve the equation x² – 2 = 0, %3D | for its positive roo...

A: Newton Raphson(N-R) Method: Let f(x)=0 is the equation, whose root is to be approximated and f'(x) e...

Q: Let S(a, b) = {na + mb : n, m ∈ Z}. If s ∈ S(a,b) then sx ∈ S(a,b) for all x ∈ Z How do I prove this...

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Q: PROBLEM 3 Give the matrix representation for the relation depicted in the arrow dia- gram. Then, exp...

A: Note: We'll answer the first question since the exact one wasn't specified. Please submit a new ques...

Q: Find the polynomial of the lowest possible degree which assumes the values 1245, 33. 5. 9 and 1335 a...

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Q: systems of linear equations and matrices. 0.25x — 0.5y = 0 0.2x + 0.2y — 0.2z = —0.6 0.5x — 1.5y + z...

A: Solve the System of linear equations by matrices

Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty o...

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Q: Find the values of x20 and y20 that maximize z = 13x + 15y subject to each of the following sets of ...

A: We can solve this using method of  LPP 

Q: Use the opposite-change algorithm to compute 189+342

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Q: 9. The mean of ten numbers is 58. If one of the numbers is 40, what is the mean of the other nine? (...

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Q: Find an explicit solution of the given initial-value problem. V2 V1- y2 dx - V1- x2 dy = 0, y(0) = 2...

A: Given differential equation is separable.

Q: Russell invested 50,000 pesos in a bank that pays 8% compounded quarterly for 5 years. How much is h...

A: We used the formula A=P(1+r/n)^(nt)  

Q: Maximize p = 10x + 10y + 15z subject to x  −  y  +  z ≤ 12 2x  −  2y  +  z ≥ 15     −y  +  z ≥ 1 x ≥...

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Q: Determine if each of the following series converges conditionally, absolutely or diverges. You are a...

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Q: a) For what real values y, does the equation 2x2 - 4y - 135 = x - 2y2 have real solutions? Use exact...

A: a) Find out for what real values y, the equation 2x2-4y-135=x-2y2 have real solution. First rewrite ...

Q: X2 Find the point (x1,x2) that lies on the line x, + 2x2 = 6 and on the line x, - x2 = 3. See the fi...

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Q: Find and explain the error in the following Z 6 0 1 x − 3 dx = (ln |x − 3|)   6 0 = ln |6 − 3| − l...

A: Integral evaluation