Determine the point(s) (if any) at which the graph of the function has a horizontal tangent line. (If the function has no horizontal tangent line, enter NONE.) y = x2 + 7 (x, y) = 7

Q: 12. A box is to be made of a piece of cardboard 9 in. square by cutting equal squares out of the cor...

A: Given problem is :

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Q: Solve and state the solutions using interval notation. 42. 7-|2x+19|<-100

A: Given :- 7 - |2x+19| &lt; -100  To find:- Solution of given inequality in interval notation

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Q: The graph of f' is shown. Find the intervals on which f increases. -3 -2 3 -4 -5 -6 -7 -8 а) О (-1,1...

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Q: dy/sec2y=dx/secx

A: Explanation of the answer is as follows

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Q: Find all complex solutions using an appropriate method. 5. x2 +6x2 + 25x2 =0 6. x* - 7x = 44

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Q: Solve the following problems. 1. Determine whether y(x) = cje¬5x + c2e*x is a general solution of y"...

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Q: e. Find the equation of tangent line to the cubic x³+ 6x² + 10x + 8 parallel to the l y = x .

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Q: . Eliminate the arbitrary constants on the given equation: y = Ae² + Bxe²

A: Given, The equation  y=Aex+Bxex We have to find the eliminate the arbitrary constant from the given ...

Q: Calculate the derivative of the function: -3 x5 – 17 f(x) = x + 17 Answer: f'(x) = Check

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Q: Find the slope of the surface in the x and y-directions at the given point. h(x,y) = x² - y2 (-1, 2,...

A: We have to find the slope of the surface h(x, y) = x2-y2 in the x and y-directions at the point (-1,...

Q: Elimination of Arbitrary Constant Determine the differential equation whose  solution is given by:

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Q: INTEGRATING FACTOR FOUND BY INSPECTION y(x*y² – 1)dx :+x(x²y² + 1)dy = 0 -

A:   Given : The differential equation is y(x2y2-1)dx+x(x2y2+1)dy=0. To Find : The integrating factor o...

Q: (x–x²ye")dy – dx = 0

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Q: 7. (5 points) A 10ft ladder rests against a vertical wall. If the bottom of the ladder slides away f...

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Q: Using special limits, evaluate: 1-cos x sin x lim 0 Show your solution. 0. O undefined 01 O-2

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Q: y(r – y?)dx + x(xt +y?)dy = 0

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Q: In your own words, describe what it means for a function to be continuous at a poin

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Q: Find the minimum and the maximum of the function f (x, y) = y² + xy+ x on the set: D = {(x, y) : Vx ...

A: The solution are next step

Q: Evaluate the following limits: (i) lim{sin 1 1 -+cos- X X 1/x 1/x a,* +a," +. 1/x +an (ii) lim- ,a1,...

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Q: Determine whether functions are continuous at given points using limits. Show the 2 conditions. x² –...

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Q: Evaluate the Integral by changung the order of Integration in an appropriáte way. 4 3 5 Cos (x?) dx ...

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Q: The graph of one complete period of a cosine curve is given. y X 4 4 1 (a) Find the amplitude, perio...

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Q: 4. Solve for general solution using exact method. (sin 0 - 2rcos² 0)dr + rcos0 (2rsin 0 + 1) d0 = 0

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Q: What is wrong with the following expression? (x-2) (x + 3) x² + x – 6 х — 2 = (x + 3) (x-2) -. In vi...

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Q: ONLY DRAW THE DIAGRAM, no computation is required of the following statements: Subject: Differentia...

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Q: Find the critical numbers of f and classify the extreme values given: {;": 0 < a < 1 x - 3 1< x < 5 ...

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Q: Suppose the wholesale price of a certain brand of medium-sized eggs p (in dollars per carton) is rel...

A: Suppose the wholesale price of a certain brand of medium-sized eggs p (in dollars per carton) is rel...

Q: x(x² - y³ - x)dx – y(x² - y')dy = 0 %3D

A: =&gt;d(xy)=ydx+xdy

Q: Compute the derivative of f(x) = 5 ln (ln (x + 6)): Answer: f'(x) = Check

A: The solution of the problem is given in the next step.

Q: Find the sum of all multiples of 3 between 5 and 64

A: We can solve the problem by the method of arithmetic progression.

Q: 1. Estimate the integral using Trapezoidal approximation rule with n=4: 2 + t)dt

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Q: 2x2 + xy + 2ylny = -cy %3D

A: We have to determine Integrating factor of given differential equation. 

Q: Q1 Solve the given differential equation by using separable variables. dy A) dx 3x2 + 4x + 2 C) de „...

A: Here we have to solve the given differential equation by using the separable variables.  a) dydx=3x2...

Q: 6. y = C1sin5x + c2cos5x

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Q: 7. Amy is hauling a toy car of mass 4 kg which was at rest earlier on the floor. If 50 N is the valu...

A: Explanation of the answer is as follows

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Q: Solve. 11. What positive number added to its reciprocal gives the minimum sum? 12. A box is to be ma...

A: As per bartleby guidelines we only give first question answers. 

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Q: 4 THE LENGTH OF A TRIANGLE LL INCREASING ATA RATE OF 8cm/s AND ITS WIDTH IS INCREASING AT A RATE OF ...

A: SOLUTION-

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Q: Find the derivative of the function. f(t) = 4t2/3 - 8t/3 + 4 8.

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Q: A = -1 3 What matrix results from -8·A? Enter your answer by filling in the boxes.

A: As this is a multiple question according to the Bartleby Answering rule, only first question and its...

Q: 2. g(x) 12(x – 3) х — 9 (a) lim g(x) (b) lim g(x)

A: Given that: g(x)=12(x-3)x-9

Q: Find the critical numbers of f(c) = 4x* – 8z? +1 and classify all local extreme values. a) O Critica...

A: Given:- f(x) = 4x4-8x2+1 To find:- critical number, local maximum and local minimum

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Q: cylindrical tank with radius 5m is being filled with water at a rate of 3m3/min. How fast is the hei...

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Q: 1) g Find the domain of the function f(1) = /2 – 1 + 4/i+ 3.

A: According to guidelines, in case of multiple question posted and nothing is specified about which qu...