How to find min and max of a function using derivatives, explain process and why the process works?

Q: solve: y" - Hý + 4y = 40st; y(0)=2₁ y(0)=5 using Laplace transform

A: y''-4y'+4y=4cos 2t Taking Laplace transform on both…

Q: 2. The equation of the tangent plane to the parametric surface x = u, y = v², z = uv at the point…

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Q: Given the absolute function graphed below, find the following: a) Domain: -12 Decreasing: 6 5 4 7 2…

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Q: Differential equation: Families of Curves * w/ complete solution and sketch. Obtain the…

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Q: (-3,0) <++++ -10-9-8-7-6- -4-3-2-1 9 Provide your answer below: a 9 00 7 6+ 5+ 3+ 2- 1 -1 3₂ -3- in…

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Q: Graph the circle given below by moving the key points: (x - 2)² + (y + 2)² = 16 To graph the circle,…

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Q: • L₁²*²1*²** LI Q16: 2z√x² + y² dz dy dx (Hint: use the cylindrical coordinate)

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Q: (d) (x-2) n n! n=1

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Q: DIFFERENTIAL EQUATION | COMPLETE THE TABLE Differential Equation (1) 4xy - x³y + y² = x (2) = xy³…

A: To complete the following table of differential equations.

Q: Differentiate the function. 4√x + 9x 7x² y' = y =

A: Given that y=4x+9x7x2

Q: Ә д х Find - 4.2xy

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Q: Let f(x) = x for x < 0 and f(x) = sin(x) for x ≥ 0. Match the following. Here DNE means does not…

A: The function is  f(x)=x for x &lt; 0 and f(x)=sin(x) for x≥0

Q: Determine which graph corresponds to the area enclosed by the curves y= O O Find the area of the…

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Q: › = √²) f(u)du what is dg / dx? Suggestion: Let x² = v and use the chain rule. _g(x) =

A: Given query is to find the derivative.

Q: a. Find the first four nonzero terms of the Maclaurin series for the given function. b. Write the…

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Q: 7s +5 s² + 25 Is true or false? Select one: O True O False Give your reasons } = 7 cos (5t) + sin…

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Q: Find the area of the shaded region. Ay 121- 99- 77- 55- 33- 11- y=121-x² -33- -55- -77- -99- -121- X…

A: To find the area of the shaded region.

Q: Suppose a real number t determines the terminal point (a, b) on the unit circle as shown. (a,b) ▶ D…

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Q: spe Let T be the linear transformation whose standard matrix is 1-2 3 A = -1 3-4 -7 -5 -6 Determine…

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Q: (6417 #3 p. 357) Find the average value of f(x) = 6r-r² f(x= on the interval 2<z≤8

A: Given function is f(x)=6x-x2 and the interval is 2≤x≤8.

Q: If f(x) = x² and g(x) = 0 (6³-a³) O None of these. O2(6²-a²) 026-2a 06² q² what is g(x)da?

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Q: b) Solve by direct integration: er dy dx dy 8 given y-5, when x=0

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Q: A hot object is submerged in large tank of water. The temperature in degrees Celsius of the object…

A: Given that , Ft=60+110e-0.26t where Ft is the temperature in degree Celsius of the object after t…

Q: Suppose that f'(x) = Answer: 8 + x² and F(x) = f(√). Find F'(1).

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Q: Find the derivative of the function. y' = an−¹(x - √√₁+x²) 2 1 y = 5 tan

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Q: Given the graph below, solve the following inequality: k(v) ≥ 0 Họ tan 9 8 7 6 5 -10-9-8-7-6-5-4-3 4…

A: To solve the given inequality

Q: If sec(a) O 4/6 6/4 = 250 88 88 13 find the value of cot(a) where a terminates in the first…

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Q: What is [cs csc x cotx tan(csc x) dx?? O In cos a C + O None of these. O ln sec(csc x)| + C O ln cos…

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Q: can you please explain further what is being said I do not understand

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Q: Suppose that f'(x) = x*. Match the concavity for the curve y = on (1/5, 1/4) on (3/10, 2/5) on…

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Q: A as it is wishes to manufacture a box with company a volume of 32 ft³ that is open on top and is…

A: Given, Volume of box = 323 ft3 Length is twice of the width. Let, Length of the box = L Width of the…

Q: The marginal cost of producing x units of a certain product is  75 + 1.4x − 0.006x2 + 0.00004x3…

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Q: 1 cm?

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Q: DETAILS GHCOLALG12 1.5.018.MI. oriental rug is 5 feet longer than it is wide. If the diagonal of the…

A: Given query is to find the dimensions of the rug.

Q: Find the vector equation that represents the curve of intersection of the paraboloid z = surface x =…

A: given  z=3x2+y2x=ey

Q: Find the length of the cardioid r = 3+3 cos 0. The length of the cardioid is (Simplify your answer.)

A: formula for  length of cardioid is  L=∫abr2+(drdθ)2dθgiven  r=3+3cosθdcosθdθ=-sinθ

Q: Find the degree, leading coefficients, and the maximum number of real zeros of the polynomial. f(x)…

A: Let's find degree, leading coefficient and maximum number of real zeros.

Q: The given figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 14…

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Q: Textbook D Videos [+] Set up the definite integral required to find the area of the region between…

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Q: The formula V = kr4 is used to predict how much the radius of a partially clogged artery has to be…

A: Given V = kr4where V = volume of fluid flow k = constant r = radius

Q: Suppose g(x) has a range of [-2, 6]. Determine the range of the transformation y = 2g(x) - 5 O [-14,…

A: Given: Range of g(x) is [-2,6]

Q: Identify the open intervals on which the graph below is increasing and decreasing. -5 -4 -3 -2 -1…

A: Solve the following

Q: Solve the problem. [1 The columns of 13 = 0 0 O Suppose that T is a linear transformation from R³…

A: NOTE: Refresh your page if you can't see any equations. . here we have . so vector v1, v2, and v3…

Q: Question 22 Integrate: 7 x² +4² -da Question Help: Video Submit Question V > Jump to Answer

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Q: = Find the area of the region that is completely bounded by the two curves f(x) = g(x) = x² − 7x +…

A: Given query is to find the area of the region.

Q: Find the first and second derivative for the following functions. 1. y =tan(x) 2. Y = 3(x²-4)5 no…

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Q: Find the volume of an obround tank that is 14 in. wide, 15 ft. between centres and 38 in. high.…

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Q: Evaluate the indefinite integral. √2³ √8 + zºda + C

A: The given integral is x5sqrt(8+x6).

Q: Differentiate: y dy dx 11 In(x) 26

A: Let's find derivative of given both  problem.

Q: 17) The expanded form of the differential operator D(rD-1) is a) xD² b) D² - z e) zD² + 1 d) zD² -1

A: Given query is to find expanded form.