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Q: Find the area bounded by the curve x = 3+ cos Ø, y = sin Ø.

A: The solution is given below

Q: 2. In the equation x2 + 40x + n = 0, find n if one root is 3 times larger than the other root. Deter...

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Q: (x +3)³ 4(x – 1)2 12 16 11 Consider the function f(x) Note that 4 4 1 (x – 1)2 - | (x – 9)(x + 3)² 4...

A: Solve by mean value theorem

Q: (a) Consider the function k(t) = -121.17 cos(97(t – 5))– 227.48. State the function's exact amplitud...

A: (a)   k(t) = -121.17cos97t-5-227.48 Midline = -227.48 Amplitude = -121.17 Range = (-227.48-121.17) t...

Q: The general form of a hyperbola is 6x – 5y + 12x + 50y – 149 = 0. - What is the standard form of thi...

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Q: A rectangle has one side on the x-axis and the upper two vertices on the graph of y = e 42. Where sh...

A: Here we have a rectangle that has one side on the x-axis and the upper two vertices on the graph of ...

Q: Solve the following quadratic equations by factorization method x²+x-(a+1)(a+2)=D0

A: Given that: x2+x-(a+1)(a+2)=0

Q: 27(2+ x) Let y = 27(-2я — 6) and y" 27(6x + 24) Then, y' x3 27(2 + x) 27(2 + x) lim 27(2 + x) lim 27...

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Q: (x+3)² dx (x+1)3 viii.

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Q: IV. The path of a ball is given by y = - 16x? + 48x + 5, where y is the height of the ball and x is ...

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Q: The cables of a suspension bridge are in the shape of a parabola. The towers supporting cable are 40...

A: Given :- The cables of a suspension bridge are in the shape of a parabola. The towers supporting cab...

Q: Find the area of the part of the plane x + 4, y + z = 4 that lies in the first octant. 1. A = 12 2. ...

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Q: Problem 2: Eléčtričal Heart Impulse A simple model for the time t, that it takes for an electrical i...

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Q: Use logarithmic differentiation to find the (3x + 1)* (x – 4) - derivative of f(x) (x2 + 1)° · sin(x...

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Q: Find the smaller area cut from the circle x2 + y² = 25 by the line x = 3

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Q: Sketch a possible graph of a function that satisfies all of the following conditions: f'(2) = 0, f'(...

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Q: Find the derivative 1 R(t) = 2 sin(t)- 4 cot(t) %3D

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Q: sin 2x+sin x dx Vsin2x -cos x v.

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Q: A sample of einsteinium-­252 decayed to 64.3% of its original mass after 300 days. a) What is the ha...

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Q: amplitude (if applicable) period intervals

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Q: sech?x ix. xp: tanh(x)V1-tanh²x

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: The altitude of a triangle is increasing at a rate of 2 cm/min while the area of the triangle is inc...

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Q: Which graph shows the hyperbola given by the equation - GH - 1? %3D

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Q: Solve the following quadratic equations by factorization method: x?+x-(a+1)(a+2)=0

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Q: Evaluate the following integral using a change of variables. | xy dA, where R is the region bounded ...

A: Explanation of the answer is as follows

Q: A closed cylindrical can is made to contain 100™ cm³ of liquid. Find the dimension of the can with s...

A: Solve the above questions.

Q: 2. 8(t) + 48(t – 1)

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Q: Solve the following quadratic equations by factorization method: x²+x-(a+1)(a+2)=0

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Q: +7V + - 5x + 6. Find the derivative of y = 9 - 5х + 6.

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Q: 5. (x² + y2 + 1)dx + x(x – 2y)dy = 0,x = 2,y = 3 %3D

A: Solution

Q: The figure below shows a region that consists of a semi-circle on top of a rectangle. Give the value...

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Q: Find the general antiderivative of the function. (If nec- essary, rewrite the function before antidi...

A: Given funcion, m(x)=3x+2xx

Q: 2x+1 Aliza says that there is no tangent line with a negative slope for the f(x)% = Stella disagre 4...

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Q: Salt (NaCl) decomposes in water into sodium (Na*) and chloride (CI) ions according to the law of uni...

A: By law of uninhibited decay we have.      A=A0ekt t denotes the time. A0 denotes the initial amount ...

Q: (a) Graph r = 1/(2 cos 0) for –x/2 sosa/2 and r =1. Then write an iterated integral in polar coordin...

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Q: A certain bridge arch is in the shape of half an ellipse 116 feet wide and 34.8 feet high. At what h...

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Q: 2. A particle is moving according to the position function s(t) = - 2t3 – 6t² + 9t, where s is in mm...

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Q: a) Consider the function k(t) = -9.71 cos(13(t – 5)) + 29.24. State the functio exact amplitude, mid...

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Q: Determine the value of a and b such that, f(x) = ах+3 and bx+5 = 1 and f'(0) = 1 (Leave your answer ...

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Q: Evaluate:   ∫x5dx         ∫x5dx=__________  ​(Use C as the arbitrary​ constant.)

A: Given:    ∫ x5dx

Q: key points or relative max/min asymptotes (if applicable) domain and range sketch at least 3 periods...

A: Given query is to provide key points for the function and. It's domain and range then graphnit for 3...

Q: Let f(x) = 6 In(sec(x) + tan(x)) f''(x) = HINT: Simplify the first derivative before you find the se...

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Q: S sin(Vx)dx ii.

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Q: 1 Evaluate : dx 3sinx + cosx

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Q: 2. In the equation x² + 40x +n = 0 , findn if one root is 3 times larger than the other root. Determ...

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Q: Three numbers form a HP.The sum of the numbers is 11 and the sum of their reciprocals is 1.Find the ...

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Q: Find the average value of the function f (x, y) Vx2 + y²over the region bounded by the polar curve "...

A: f(x, y) = x2+y2 = r=>  f = r  = sin2θ 0 ≤ θ ≤ π/2

Q: For the following functions y = f (x), find f' (a) by using the definition of derivative at a point....

A: Given:     To determine:

Q: IMT NOTES ASK Analyze and sketch a graph of the function. Find any intercepts, relative extrema, poi...

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Q: Find the slope of the tangent line r=1-2tan(theta), theta= pi/4

A: