Find DO NOT SIMPLIFY YOUR ANSWERS. 1. log₂ (√2x² + y) + tan(xª − n²) = sin¯¹(x² − 1) + ½ 2

Q: Find the area between the curves y = e 1. = y = 2.3x + 1 from x = 0 to x = Area -0.4x and

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Q: The conic section whose equation is x2 - 3y2 - 8x + 12y + 16 = 0, is ______. centered on the origin…

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Q: Replace the polar equation with an equivalent Cartesian equation. r= 40 sin 0

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Q: Identify/cite a real life event that models a continuous function By applying three conditions of…

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Q: An integrating factor is μ(y) = The solution in implicit form is = c, for any constant c.

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Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f(x) = 4x+14 between x =…

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Q: Find R and the Interval of Convergence o (-1)" (x)" 272

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Q: Find the points on the graph of the function that are closest to the given point. f(x) = x², (0, 3)…

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Q: 3x

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Here we have to find the area.

Q: Solve the given differential equation. All solutions should be found. dy_x³_8y x5 - 8y dx X NOTE:…

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Q: If f f(x) dx = 12, then ff(4x) dx is equal to If f f(x) dx = 12, then fx f(x²) dx is equal to

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Q: Find tan (θ) given that sin (θ) = 1/3 and θ is in quadrant II.

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Q: 2. y = tan-¹(cosh x) (sin² x) (sech x) secx [use logarithmic differentiation]

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Q: 6. Use Green's Theorem to find the counterclockwise circulation and the outward flux for the field F…

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Q: Find the area of the region under the curve for the given interval. y=x²+x-6 on [1,4]

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Q: ● Let B(x) Let C(x) = = = **f(t)dt. Evaluate B(1). * f(t)dt. Evaluate C(9).

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Q: III. Suppose that a function f(x) satisfies the following properties, together with the table of…

A: answer is in next step

Q: Find the nth Maclaurin polynomial for the function. f(x) = ex, n = 5 P5(x) =

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Q: Sketch a right triangle corresponding to the trigonometric function of the acute angle 8. cos(8)= 4…

A: Given:     cos θ = 4/5

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: domain means value of x which we can put in equation here is in root value cant be less than 0 t -…

Q: Find the volume of the solid obtained by rotating about the x-axis the region enclosed by the…

A: To find out the volume of revolution.

Q: 19 Give the properties for the equation 9x 2 + 16y 2 - 36x + 96y + 36 = 0 Major Axis 8 16 9

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Q: Evaluate the integral √(4 by making the appropriate substitution: u √ (432² dx [ X (4x² + 11) 7 = X…

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Q: 1. F = cos y i+ xyj + yk, A B C D E F О н A. i+j+(y-siny)k B. i+ (siny - y)k C. j (2y-siny)k D. 3i -…

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Q: 2 The probability that an event will happen is . What is the probability that the event will not…

A: We need to find probability.

Q: If y=7x²y+z³ +yz² A = y³ z² e^5x a_x + 4x4 zcosy a_y+ 2x4 CosySinz a_z. Find the following at point…

A: Given, ψ=7x2y+z3+yz2A=y3z2e5x ax+4x4z cosy ay+2x4cosy sinz az           Note: The expert is supposed…

Q: Determine the minimum cost of a retailer of motorized bicycles whose cost function is C(q) = 4860/q+…

A: Here the given cost function is: C(q)=4860q+15q+750000

Q: Find the length of the curve. 1² (2t+1)³/2 X= 2 3 The length of the curve is 1, y = 0≤t≤2 (Simplify…

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Q: Find the value of d²y/dx² at the point defined by the given value of t. x = sint, y = 7 sint,t=4 14…

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Q: Applying the ratio test to the series ∞ 5k-1 k=1 (k+ 1)².4k ³ you would compute ak+1 lim = ak Hence…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = -2x - (sin(x))² dy= Need…

A: Using derivative

Q: N. – My If = R, where R is a function depending only on the quantity z = xy, then the differential…

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Q: Find the critical numbers of the function F(x) = x/5(x - 9)²

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Q: Evaluate the definite integral 05/dx. Give an exact, completely simplified 0.5_6x² answer. Hint:…

A: Use  substitution method for solving integral.

Q: Use the figure to find the exact values of sin(2u), cos(2u), and tan(2u). X sin(2u) = cos(2u) =…

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Q: Find the exact length of the curve x = tsint, y = t cost where 0 ≤ t ≤ 1.

A: answer is in next step

Q: Let an integer be chosen at random from the integers 1 to 30 inclusive. Find the probability that…

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Q: Use the information to find and compare Ay and dy. (Round your answers to three decimal places.) y =…

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Q: 7T 2 Find 35 cos(7x) dx 5π 2 7T 2 35 35 cos(7x) dx = -5π လ

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Q: Solve the given initial value problem and determine at least approximately where the solution is…

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Q: The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the…

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Q: The function f is defined by f(x) = -2x³ - x² - 6x and the point (-1,7) is on the graph of f. If f¹…

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Q: Find the average value of ƒ(x) = x² √√28 + x² on the interval [0,2]. favg= Report all answers…

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Q: II. Find Do not simplify your answers. dr 1. log,(√2x² + y) + tan(x² − z³) = sin¯¹(x² − 1) + −

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Q: Use the graphing guidelines to make a complete graph of f. f(x) = -x³-9x² +1296x-3780

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Q: Complete the table. (Round your answers to four decimal places.) X-7 x-7x²²-8x+7 x 6.9 6.99 6.999 7…

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Q: 3 answers. cas (x² + 2) = x - 240 cashy X ५१ where x>0 cot 1(3) 3 1. COS S = Cea

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Q: Consider the following. u = (-3, 3, 5) v = (0, 1, 6) Find u x v. Determine if u x v is orthogonal to…

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Q: d Calculate [ri(t) r2(t)] and [ri(t) x r2(t)] first by differentiating d't dt the product directly…

A: Given,           r1t=4ti+2t2j+5t3k , r2t=t4kTo find : ddtr1t·r2t                ddtr1t×r2t