Factor the expression. Use the fundamental identities to simplify, if necessary. (There is more than one correct form of each answer.) 1 2 cos2(x) + cos (x)

Q: Fonsider the function f(x) = -4x - 6x + 24x on the interval [-3 , 3]. Find the absolute extrema for…

A: Given: f(x)=-4x3-6x2+24x

Q: D. Find The or mogonal traectory of the family f aurves y=

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Q: Find the differentlal dy of the glven function. (Use "dx" for dx.) y = BVx + dy =

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Q: Consider the following equations. y f(y) V 25 - g(y) = 0 y = 2 Sketch the region bounded by the…

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Q: Evaluate the following algebraically. csc? x lim 1 O 1 O -1 8. 8.

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Q: cars are initially 1200 miles apart. At the same time Car A starts driving at 35 mph to the east…

A: Given query is to find the rate of change of distance between the cars.

Q: Use Newton's Method to approximate the root of x In r 2 accurate to five decimal places. Begin by…

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Q: Show that the function f defined by 1, (x, y) = (1, – 1) f (x, y) : .2 x + y (x, y) # (1, – 1) x + y…

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Q: Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in…

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Q: Consider the function f(x) = 2x – 6x² – 48x + 1 on the interval [– 6, 8]. Find the average or mean…

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Q: cesin x (sin x + cos x) dx e cos x

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Q: Evaluate the definite integral (10x + + 3)dr

A: topic- definite integral

Q: Use the properties of summation and 5/ Step 1 To evaluate the sum Si, the following property of…

A: Please see the below picture for solution.

Q: S(e3t + e-3t)2 dt

A: To evaluate the value of given integral.

Q: Find the Maclaurin series for the given function f(x) = e-6x

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 3z F(x) = | cos (t°) dt.…

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Q: Speedometer readings for a vehicle (in motion) at 11-second intervals are given in the table. t…

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Q: Which of the following transformation statements is not true about the transformation from y = cos-1…

A: We can reflect the graph of any function f about the x-axis by graphing y=-f(x) and we can reflect…

Q: mental Theorem of Calculus to fin

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Q: 9) Find the vectors angle between the twe

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Q: Solve the trigonometric equations. (a) 2cos (x) = V3 in [0, 2n) (b) tan(x)–1 = 0 in [0, 2n) (c) V2…

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Q: Find the Maclaurin series for the given function f(x) = e-6x

A: The maclaurin series is: f(x)=e-6x     ,    f(0)=1f'(x)=-6e-6x     ,    f'(0)=-6(1)=-6f''(x)=36e-6x…

Q: O y= xe 2y = e"co{ 2x) is a solutiòn to yl-Gy!+13y=D0 is a solution to yll-2y'ty =0. 3X %3D

A: we have to verify the solution.

Q: Find the centroid of the region bounded by y = Vx, y = 0, and x = 9. This region is covered by a…

A: We have to find the coordinates of the centroid.

Q: n=1 convergent, absolutely convergent or divergent.

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Q: For each problem, use implicit differentiation to find dy/dx in terms of x and y.

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Q: Find the exact value using a sum or a difference identity. SHOW ALL WORK– include the formula,…

A: cos(225°) here 225° = 180°+45° cos(225°) = cos(180°+45°) cosθ is negative in the 3rd quadrant since…

Q: A ball is shot from the ground straight up into the air with initial velocity of 43 ft/sec. Assuming…

A: To find the height  ball goes up to.

Q: x2 + 2x – 1 1 True or False: lim x – 9 4 O True False

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Q: AShift

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Q: Let limf(x) = 3 and limg(x) =. Find

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Q: 4. The voltage signal from a standard wall socket can be described by the equation V(t) = 325…

A: v(t)=325sin(100πt) period =2π/B B=2π/(100π) B=1/50 B=0.02 sec

Q: Let f(x) = 4x^2 – 7x. Use the ɛ/ō-definition of the derivative to prove that f(2) =9.

A: given :f(x)=4x2-7x

Q: lim TDC – 1 2x?

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Q: Evaluate the definite integral by the limit definition. Step 1 To find the definite integral 9 dy by…

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Q: Find the center of mass for the following masses along the x-axis (distances are in cm): 42g at…

A: Center of mass = sumation of mi xi / summation of mi

Q: Prove i = [- 2,5, 1], = [2,1, – 1] and w = [-6,0, – 12] are orthogonal. %3D %3D %3D

A: SEE ATTACHMENTS

Q: A small home business creates muffins, bones, and cookies for dogs. In addition to other…

A: Here, from the given data, let x be the number if muffins, y be the number if bones and z be the…

Q: Find the value of each of the six trigonometric functions of the angle 0 in the figure. b a = 15 and…

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Q: 6. Verify each of the following identities: cosx (a) 1-sinx secx + tanx 1 + 1-sinx 1 (b) 2sec?x =…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: Find the area bounded by the curve y = 4x-x and and the lines x = 0 and y = 4. %3D Answer.

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Q: Consider the following equations. f(y) = y(7 – y) g(y) = -y Sketch and shade the region bounded by…

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Q: dy

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Q: Problem 2: Given a function 4x -1 f(x) = 2x +1 Use tabular method to determine if the limit of a…

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Q: Find the Taylor polynomial of order 3 generated by x at a. 1 f(x) -, a = 0 x+6

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Q: We have found that the partiaular solution of the height function is s(t) = -4.9t + v(0)t + 3 and…

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Q: In spherical coordinates equation for the paraboloid z = 2 - x - y? is p(cos o - psin² ¢) = 2 |

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Q: Evaluate the integral. 2 dt 1- t2 V

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Q: chain rule to find given w = x² + 2y² + z² and x = cos (st), y = -2s lnt an 3s2 Vt.

A: We have to find out derivative

Q: 1 -dx is The value of

A: ∫ xn dx = xn+1n+1+C .