INALTIIX Large Drop-Fro... Summary - Qui... George Floyd: '... Paraphrasing T... when did geor... Draw the graph of the following sinusoidal function over the indicated interval. For this graph, • State the t-intercepts on the given interval. . State the y-intercept. • State the maximum value of the function and the t-coordinates of all the points where the maximum occurs. • State the minimum value of the function and the t-coordinates of all the points where the minimum value occurs. y = 4 sin(t) with 0 ≤ t ≤ 4. t-intercept(s): y-intercept: maximum value: occuring at t = minimum value: occuring at t = 4.5 4 3.5 3 2.5 2 1.5 1 0.5 mat.com Formative

Q: Find a particular solution of as =10csc² 2t determined by s= 2 when t == . dt

A: dsdt=10csc2(2t)  s(π/4)=2 ds=10csc2(2t)  take integration both side

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Q: 16. Find the area of the region bounded by the given curve: r = 9eº on the interval ≤0 ≤ 2m.

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Q: 3. z = x+y x-y

A: The given function is  z=(x+y)/(x-y).

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Q: 2 x-x² if x ≤ 2 - Let f(x) = 2x - 1 if x > 2 Calculate the following limits. Enter "DNE" if the…

A: Let fx=2-x-x2 if x≤22x-1 if x>2To calculate the following limits. To enter "DNE" if the limit…

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Q: Solve ₂(x + 1)(x + 2)²(x²-1)dx with and without the even-odd theorems (show both solutions).

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A: The given quadratic equation is Ax2+Bx+C=0

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Q: & 38. Evaluate: √x dx A. x4/3 + C 3 4 C. ³x5/3+C B. x³/4 + C D.x3/5 + C 39. Evaluate: fx(4x - 3)dx…

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Q: Find the area bounded by the parabolas (x-3)² - 16ky = 0 and y² - 16k (x-3) = 0.

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Q: S² z²√√(-z² + 1)5 dz

A: To find the value of the given integral.

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Q: 1. The derivative of a constant is equal to A. -1 C. 1 B. 0 D. 2 2. If ƒ(x) = −5π, then ƒ'(x) is…

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Q: Let The coefficient of x' in the Maclaurin series for f(z) is: Answer: . You may explain your answer…

A: Note that, the power series of ex is: ex=1+x+x22!+x33!+...

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A: First we draw the curves, y=6-x2.y=x,y=-2,x=-2.

Q: The gradient of the tangent to the curve y=-3x³ + 4ax² - 5x + 4 at x = 1 is 2. The value of a is 2.…

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Q: 2. Find the interval [a, b] for which the value of the integral (2 + x − x²) dx is a maximum.

A: ∫ab(2 + x -x2 )dx here for get maximum value we have to differentiate the function  so here first…

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Q: Compute : , log,(cosx) d dx - sin x A. (In 2). cos x 1 B. (In2).cosx -(In 2). sin x C. COS X -In2 D.…

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Q: Advar Ex: If w = f(x,y,z), x=x(r,0), y =y(r, 0), z = z(r, 0), find wr, we? дw dz aw ax дw ду aw

A: We will use chain rule to solve this question.

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A: If the difference between two successive terms of a sequence is constant, then the sequence is…

Q: A product can be produced at a total cost of C(x) = 500 + 100x² + x³ dollars, where x is the number…

A: Solved below.

Q: 10. Given the graph below, what is the value of x of the function H(x) is discontinuous? h(x)== A. 0…

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

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A: I have shaded the area green which is to be calculated

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A: The given function f(x)=-6x2+36x at the point x=4.

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Q: 112 points/ Use algebraic techniques to determine whether the following function is even, odd, or…

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Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² +…

A: We first graph x2+y2-6y=0 and y=6-x using a graphing calculator.  The shaded region will rotate…

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A: ∫cos3xcos4xdx here we use formula  2cosxcosy = cos(x+y) +cos(x-y) here x = 4x      y = 3x

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A: Please refer to the image below

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