Find the Ker(T) and Rng(T) and their dimensions. T:R →R defined by T(x)= Ax, where 1 -1 27 -3 3 -6

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the equation...

A: NOTE: Refresh your page if you can't see any equations. .

Q: Determine whether the series converges; if so, find its sum. If the series diverges, indicate that w...

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Q: 9. It needs 8 persons to dig an irrigation canal in 15 days. How many persons are needed to do the j...

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

Q: The following situation applies to the attached question The fluid pressure (in atmospheres) at the ...

A: Px,y = 1+ x2y10Where, P : Fluid pressure in atmosphere at the bottom of a body of liquid of       va...

Q: a. b. y g(x) g(x) 5 4- -3 3 5 -2 -1 -1- -2 -3 -2-

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Q: e dx PROBLEM 2: J 5e -4 2 csc" wdw cSC PROBLEM 3 : 1+cot w

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Q: Find the f’’(x) of x3 – 5x + x.

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Q: 1. For the polynomial function P(x)=x' – 2x² – 33x+10 (a) Describe the end behavior of P. Use notati...

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Q: 10. Determine which of the following limits exist and does not exist. a. b. 2 - 2 3x - 9 lim 25 * +5...

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly re...

Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s)....

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: The monthly total cost function for a product is C(X) = 500x + 0.1x + 17,590 dollars, and the monthl...

A: 1.)C(x) =500x+0.1x2+17590R(x) =1000x-0.01x2Break even point⇒ C(x) =R(x)Units = 35 , 4510  

Q: In a certain city with predictable weather, the temperature (in °F) t hours after 8 am can be modele...

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Q: dy If e*cos(y) = e sin(x), show that e*cos(y)-e'cos(x) e*sin(y)+esin(x) %3D dx (a) Using the implici...

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Q: Four coins are tossed. Let Y be the random variable representing the number of tails that occur. fin...

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Q: a n п i = 6 dz EVALUATE IN TERMS OF GAMMA FUNCTION.

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Q: 4. The market for Woozle used to be perfectly competitive, but then Woozlesoft Inc. monopolized prod...

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Q: ,3 ws de determine the percentage change in y when w increase by 2%, s decrease 2. If y = by 3% and ...

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Q: Compute the Wronskian of a set of functions {vı, y2} = {e* cos(/), e* sin(v¤)} cos (Væ), e* sin(va)}...

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Q: Find the function value, if possible. (If an answer is undefined, enter UNDEFINED.) g(t) = 3t2 - 4t ...

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Q: EVALUATE: 2 А. (1+j)4 +j3 B. j 1-j²

A: Topic:- complete number 

Q: Given the vectors ā = (2, – 1, 3), b = PQ where P(1, 1, 1) and Q(5, 1, – 1) and Ĉ = i + j + 3k. Find...

A: It is given that, a→=2,-1,3, b→=PQ→ where P(1,1,1) and Q(5,1,-1) and  c→= i→+ j→+3 k→ a) 7b→-3c→b) T...

Q: A certain drug is being administered intravenously to a hospital patient, Fluid containing 1 mg of t...

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Q: sT/4 sec“ (0) tan“ (0) de op(6 dx Vx² +2

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Q: For the next three questions, consider the following differential equation: (2y sin x cos x – y + 2y...

A: 2ysinxcosx-y+2y2exy2dx-x-sin2x-4xyexy2dy=0  

Q: Solve the system of differential equations consisting of the following equations: (D – 2)x – y = 0 (...

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Q: Jse l'Hospital's rule to find the limit. HINT [See Example 4. x + 1 lim x+0 e*

A: limx→∞x+1ex = ∞+1e∞                    = ∞∞                    = indetrminant form Apply l'hospital ...

Q: Find the function r that satisfies the given condition; r' (t) = i+ te-tj-4k;r(0) = i+ t2+1 - 3k

A: Given problem:-

Q: Find the local maximum and minimum values and saddle point(s) of the function f(x, у) %3 ху — 2х — 2...

A: Suppose that x, y=a, b is a critical point of fx, y,and Dx, y=∂2f∂ x2∂2f∂ y2-∂2f∂ x∂ y2. Then, If Da...

Q: Let /(x) = 2x- 3x2. (a) Graph the function for x E [-1,5] %3D (b) Compute f (2) and f (2). (c) Write...

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Q: Determine the values of the trigonometric functions of 0, where sin 0 = and cos 0> 0. 13 cos 0 = (Ty...

A: Given query is to find the value of 6 trigonometric functions.

Q: dx/y-xdy/y^2=0 solve using exact equations (diff eq)

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Q: 3. The sum of two numbers is 18. Four less than half of one number is twice the other number. Find t...

A: 3) Consider two numbers are x and y. Given that , sum of two numbers is 18. Therefore, x+y=18       ...

Q: əz and əx əz 9. If x²y + y²z + z²x = 10 , where x and y are independent, determine ду -x2-2yz az ans...

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Q: Calculate the following: a) -4 / j^9  and  4 / 2j^13

A: Topic:- complete number 

Q: 5. lim f(x) = +o, lim f(x) = 0 6. lim f(x) = +00, lim f(x) = 0 and f(-1) = -1 %3! x+1+ and f(-1) = 0

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Q: Graph f, locate all points of discontinuity, and discuss the behavior of f at these points. 2+x if x...

A: The objective is to solve the above question.

Q: 3. 3, |(a - 1), >-1 The graph of f(r) is shown below. Evaluate lim f(x). y a. The limit does not exi...

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Q: Find the value of lim sec 3. 2 Select your answer. 2/3 3 3 2/3 +3 3 2/3 – 3 3. 2/3 3 3

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Q: A large tank filled with 500 gallons of pure water. Brine containing 2 pounds of salt per gallon i...

A: Let A(t) is pounds of salt in the tank at time t.We know that dAdt=Rin-Rout

Q: Given the region bounded by y= x^3 ,x = 2, and the x-axis (in Quadrant I) is rotated about the line ...

A: Given problem:- Given the region bounded by y=x3 ,X = 2, and the x-axis (in Quadrant I) is rotated a...

Q: 13. Which of the following is the solution of [2x + ycos(xy)]dx +xcos (xy)dy = 0 a. x? +cos(xy) = c ...

A: This question is based on solution of differential equation.

Q: . The population of the state of Georgia (in thousands) from 1995 (1 = 0) is modeled by the function...

A: NOTE: Refresh your page if you can't see any equations. . for the year 2000, take t=5 ............

Q: Find

A: We will solve find the anti derivative or integration. 

Q: 6.convergence set of the following power series: so (-1)". xn En=1 Ln=1' п. зп+1

A: The given power series is; Sum of (-1)nxn/[n.3n+1] , n from 1 to infinity.

Q: x2 -4 x2 - x - 2 f(x) %3D (a) State the domain of the function. all real numbers x except x = -1, 2 ...

A: f(x)=x2-4x2-x-2f(x) =x2-4(x-2)(x+1)function is not defined at x=2,-1A) Domain:all real numbers x exc...

Q: Solve the following differential equations of 1- ye** . dy = dx; dy 2-- %3(1+ y*)e* dx m dy x(2lnx+1...

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Q: (a) A function is labeled as, "even" if has the property that: f(-x) = f (x) for all values of x. Sh...

A: (a) To find whether the function is even or not let us replace x by -x f(-x)=(-x)2+2-x+2f(-x)=x2+2-x...

Q: Z= Logyx Find 근xx (2) 근 y

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Q: 3. Find the first derivative of y = (x² – 4x + 1)5. %3D

A: Topic :- derivatives  Note:- as per our guideline if more than one question uploaded than only first...