A car sales agent sold a car for P280,000 and he received a commission of P35,000. His rate of commission is ____

Q: If g is continuous at a and f (x)=(x² -a' )8(x), find f'(a) 7(x)-r(x,) Hint: Use f'(x1) = lim x-x1 2...

A: Given f(x) = (x2-a2)g(x)

Q: (: ) . Consider the matrix A = Find (a) the characteristic polynomial of A; (b) the eigenvalues of A...

A: By Bartleby policy I have to solve first 3 subparts only. Repost separately remaining questions.

Q: Consider the map T : R3 → R3 given by T(x, y, z) = (x − 2y + z ,−3y + 2z, − x − y + z)    Choose o...

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Q: Set up an integral that represents the area of the surface obtained by rotating the curve = e2t, y =...

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Q: Match the integral expression on the left to its suitable transformation on the right, after using a...

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Q: Solve for x. If necessary, round to the nearest ten-thousandth. (If there is no solution, enter NO S...

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Q: A potato is launched vertically upward with an initial velocity of 123 ft/s from a potato gun at the...

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Q: The general combinatorial formula for the nth triangular number (1, 3, 6, 10, 15, 21, .) is On+1Cn O...

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Q: 3) - 1+ dr dr

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: 3-4r+1 if x +1 if x = 1 Given the graph of the function f(x) = complete the table. I-1 Differentiabl...

A: A function is continuous at a point if there is no break in the graph of the function at that point ...

Q: Let A = {x | 5x + 1 E Q} and B be the set of all even integers. Prove that A and B have the same car...

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Q: Let T be ring containing elements e, f, both # 0T, such that e + f = 1r , e² = e, f² = f , and e · f...

A: We are given e+f = 1T,e2=e,f2=f and e.f=0T where T is the rings containing elements e,f both not equ...

Q: Consider the function h : Z x Z → Z ×Z defined by h(x, у) — (2ху, 7x — Зу). (a) Is h injective? (b) ...

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Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing f...

A: Given: Bag contains 4 red marbles, 2 green ones, 5 white ones, and 3 purples once and she grabs 8 of...

Q: For the demand function q= D(p)3D 288 - p, find the following. a) The elasticity b) The elasticity a...

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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: Use Lagrange multipliers to find all points on the cone z2 = x² + y² that are closest to the point (...

A: The complete solutions are given below

Q: Find the Laplace transform of the given function. 0: f(t) = {2 – 2: t>1 0<t<1 Hint: You can solve th...

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Q: Use a triple integral over spherical coordinates to find the volume of the solid that is bounded abo...

A: To find the volume of the solid bounded above by the cone ϕ=π6, below by the xy plane and on the sid...

Q: 6. y" – y – 6y = 0, y(0) = 1 e y'(0) = -1. 7. y" – 2y' + 2y = 0, y(0) = 0 e y'(0) = –1. %3D

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Q: A large amphitheater is set up in such a way that there are 16 seats in the first row 27 seats in th...

A: The given problem is regarding arithmetic progression series. First-term is given. A common differen...

Q: The table shows data from a science fair experiment that studied the average growth rate of 20 sampl...

A: Total samples are 40 combining samples of 70 degrees Fahrenheit and 80 degrees Fahrenheit. 

Q: solution of the equation zxx + zyy =e-xcos(y) which tends to zero as x-> ∞ and has the value cos(y) ...

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Q: Which of the following functions fom a particular solution of the differential equation y"-2y'-3y = ...

A: Given DE is  y"-2y'-3y=xe3x.....(1) We find particular solution.

Q: How do you create Pascal's Triangle?

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Q: 4) Let F be a field. The derivation f' (T) € F[T] of a polynomial f(T) E a; · Ti e F[T] is defined b...

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Q: AIS. 4. Compute the area of the surface formed when f(r) = 2 + cosh(r) between 0 and i is rotated ar...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Given f(z) = (y + 1) i(x³ – 3 x). Find the set of all points zo = xo + i Yo where f is differentiabl...

A: f(z)=(y3+1)i(x3-3x) f(x+iy)=(y3+1)i(x3-3x) f is differentiable if ux=vy, uy=-vx  

Q: If f(x, y)= xe2y +y, evaluate grad f •dr where C is the straight line joining the point (2,0) to the...

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Q: A G-protein is ... O a) a membrane-bound enzyme that converts ATP to cyclic AMP. O b) a protein cont...

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Q: Use the root test to determine whether the series converges or diverges. If the test is inconclusive...

A: Root test: series and sequences

Q: (2) y ty= tanx (0)=2 (0) = |0

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Q: Use a triple integral over spherical coordinates to evaluate (2² + y²) dV, where E is the sphere a² ...

A: Volume of triple integral, using cylindrical coordinates

Q: uments a, b, c or d below) A. Modus ponens B. Modus tollens

A: In this question, the concept of argument is applied. Argument Every argument having true premises a...

Q: Write the following equation in index form V(div v)+u x (vxw)=p(c®b)a VX W

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Q: Formulate the situation as a system of linear equations. Be sure to state clearly the meaning of eac...

A: ormulation of equations Write A for x1 , B for x2 and C for x3. A truckloads of GrowRite contains 40...

Q: of the ):305t=2 ;find at t:2 the area riDole

A: Given radius function is  r(t)=30t+2

Q: PROBLEM 1. Given the ordinary differential equation: (x2-4)y" + 2xy' +y = 0 %3D Solve the general so...

A: This is the problem of series solution.

Q: Let V = (image) the space of symmetric real 2×2 matrices. Consider T : V → R2 defined by T(image). O...

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Q: (2a + 6, a 6 is continuous at * = 6. Justify the conclusion. (4) f(8)= im f(2)= (éé6) lim f(a)= (év)...

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Q: Derive a composite matrix that transforms a square ABCD with coordinates A(0,0), B(1,0), C(1,1), D(0...

A: As per the question we have to find the affine transform which will transform the points A,B,C,D int...

Q: Reliability of Computer Chips The percentage of a certain brand of computer chips that will fail aft...

A: Solution :-

Q: Tara toured New York City with her family. They started their tour at 3:15 P.M. at the Empire State ...

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Q: A point in the complex plane with both coordinates rational is called a rational point. The set of r...

A: Please find the answer in next step

Q: The appropriate integrating factor for the following differential equation (3xy + y²)dx + (x² + xy)d...

A: The given differential equation is 3xy+y2dx+x2+xydy=0....(1) We will find the integrating factor of ...

Q: Find the radius and interval of convergence of the series (r– 3)" Σ 2" /n +2 n=1 Test the end points

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Q: y= 6. 30 18/3/2 Sin(8)= Cos(8)D Tan() = %3D Sin(A)-

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Q: 1. Given the following sets of vectors: W {(a,b, c)| c² = ab; a, b, c e R} %3D Determiine if the abo...

A: This is a problem of vector space.

Q: A certain phenomenon has an initial value of 12 and grows at a rate of 8% per year. Give an exponent...

A: Given Initial value =12 (Grows rate) r=8% per year  

Q: 3. Two strong wires AB and CD are at- tached to a flagpole as shown at right. If we assume the base ...

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