ΣΤΑ n=1 (n + 1)2 3 η

Q: A box with a lid is to be made from a rectangular piece of cardboard measuring 60 cm by 180 cm. Two…

A: Card board with measure 60cm by 180 cm

Q: The acceleration of an object (in m/s²) is given by the function a(t) = 6 sin(t). The initial…

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Q: Differentiate the implicit equation with respect to x. x³ + y³ ln(x) + e²y = 5

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Q: Suppose the straight lines L₁ and L₂ have respective vector equations 4 5 9 -5 (99)-0) -3 +t = -…

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Q: 3141 What is the value of the expression 5! ? A 3 In

A: find the value of 3! 4!5!?

Q: Approximate the following integral by computing the Trapezoid and Simpson approximations using 4…

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Q: What is the exact value of tan csc

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Q: Given the function graphed below, evaluate the definite integrals. N 3 A 3 2 1 -1 -2 -3 A N 3 6

A: Definite Integration is area under the curve in that interval

Q: 2) Consider the vector function r(t) = (sin (t), −3t, cos (t)). Analyze the function, then sketch a…

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Q: The height y (in feet) of a ball thrown by a child is 2²+6+5 where is the horizontal distance in…

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Q: Find the equation of the tangent line = 14x +y at (2₁-32), to the curve 3√xy 35 3√/xy

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Q: Q.13. Given the figure below: a) Find the value of the hypothenuse. 0 C a b = 24, c = 51 b b) Find…

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Q: Calculate Əz dz 8²z 8² z ² z Әх’ ду' дх²' дуг' Әхду and write down the Hessian matrix for the…

A: calculate partial derivatives and hessian matrix for given function  (a) z =epxy2(b) z =xyp

Q: Determine the derivative in fully factored, simplified form for y = (x + 1)³(2x − 1)².

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Q: Three bakers Ali, Bala and Charles, each baked some muffins. 1/5 of Ali's muffins were equal to 3/10…

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Q: Find the angle between the vectors. (First find an exact expression and then approximate to the…

A: a · b = |a| |b| cos(θ), where a · b is the dot product of vectors a and b, |a| and |b| are the…

Q: The population in millions of arctic flounder (a type of fish) in the Atlantic Ocean is modele 8t+96…

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Q: Find the area under y = 4sin(x) + 4cos(x) and above the x-axis from x = 0 to x = π/2. Leave your…

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Q: Solve: logs PI 1 125 (Enter as an integer or as a reduced fraction.) A= B= =t The polynomial 49¹4…

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Q: n=1 1 + cos n en

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Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. In x lim…

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Q: a) Express (-√3+3i) in the form reie, where (radians) lies in the second quadrant. Give your answer…

A: We have to find the value of r and θ, x and y. We will use Demoivre's theorem to find the values of…

Q: 29. p = 200 - x 2x

A: Given question  29. p = 200 - x2x

Q: What is the sum of the first 9 terms of the sequence -4, 12, -36, 108...? A B C -39,364 -19,684…

A: the terms are -4,12,-36,108..... find the sum of the first 9 terms ?

Q: Determine the convergence or divergence of the series. 1. Σne-n² n=1

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Q: Given the equation below, determine two solutions such that 0° ≤0 < 360°. Show how you find your…

A: Sin(theta)= - sqrt(3)/2 Find the two solution lies in [0 degree, 360 degree].

Q: Evaluate the definite integral. ¹9 So 18 X√x - 8 dx

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Q: Suppose that a pencil holder is in the shape of a right circular cylinder, which is open at one of…

A: Data from the question÷

Q: The intensity levels I of two earthquakes measured on a seismograph can be compared by the formula…

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Q: Write the logarithmic expression log(2√7) as an expression involving two separate logarithms.

A: Given  To write the logorthemic expression for log(x^6 √y^-6)

Q: Let s(t)= ael-² be a function for the position in millimeters of a particle as a function of time in…

A: Let position function denoted by s( t ) velocity function denoted by v( t ) acceleration function…

Q: 5 4 2п 21(2522 - 1-). X 312.5п

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Q: Compute the surface area of the surface generated by revolving the astroid with the parametrization…

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Q: Calculate the derivative dy for the parametric equation x = t¹ + t³ + ln(6t+1), y=e¹t² + +5 giving…

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Q: Find an equation of the plane. the plane through the points (4, 1, 4), (5, -8, 6), and (-4, -5, 1)

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Q: M Ja The function graphed above is decreasing on the interval

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Q: T³ (x4+3) ¹ This can be transformed into a basic integral by letting Consider the indefinite…

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Q: Approximate the following integral by computing the Trapezoid and Simpson approximations using 4…

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Q: 6. Trace the curve: r² = a² (1 + 2 cos ) → (degrees) r Ⓒ (degrees) r → (degrees) r → (degrees) r…

A: "Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: 2. The function y = (5x+4) + 4 has a y intercept of 301 75 Determine the value of A. 3. Simplify as…

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Q: A projectile fired from a gun follows the trajectory x(t) = 9t, y(t) = 3t – 16t². Find the angle…

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Q: A 25-year old woman burns 300-80t cal/hr while walking on her treadmill. Her caloric intake from…

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Q: Q1 Evaluate [f(x)g (x)] at x=-2 given f(-2) = 5, f'(-2) = −4, g(-2) = 3, g'(-2) = 7. (d) -4 (a) -84…

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Q: The marginal cost for printing a paperback book at a small publishing company is mc(p) = $0.011 per…

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Q: Find the arc length of the curve on the given interval. (Round your answer to three decimal places.)…

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Q: 5. Express u = (-4, 3, —2) using the unit vectors.

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Q: Evaluate f 1 (4- x)²/5 de correct to 3 decimal places.

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Q: 3) Find a vector function r(t) that represents the intersection of the surfaces: z = √√√x² + y² z =…

A: z=x2+y2 and z=y+1

Q: Suppose the volume of the solid obtained by rotating the region bounded by f(x) and g(x) is given…

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Q: Find all real solutions of the equation by first factoring the left hand side and then taking a…

A: x2+10x+25=25⇒x2+10x+25-25=0⇒x2+10x=0