Which of the graphs below could be the graph of a power function with an even power? (a) ☐ (b) ☐ (c) (d) y

Q: The velocity v(t) of a sprinter on a straight track is shown in the graph below. Determine the…

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Q: Find the area of the region bounded by the graphs of the algebraic functions. f(x)=x² +34x+289 g(x)…

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Q: 44. Simplify: cos 40° cos 30° + sin 40° sin 30° 45. Simplify: cos 50° cos 20° + sin 50° sin 20⁰

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Q: O Solve the equation: 5log 3 x = 20 81 11 278

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Q: bounded by the following curves: y = x³/2, y = 8, x = 0, y = 0. Find the volume of the solid…

A: Given ,       y = x32 ,  y=8  ,  x= 0 , y=0.  From Shell method-     Since the revolution is around…

Q: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.04 cm/min.…

A: Let radius = r area = A As we know that A = π( r )2

Q: 12. Which of the following is a point at which the tangent to y=-xe* is horizontal? Show your work.…

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Q: The indefinite integral ſ(4x – 4)e¹ª dx can be evaluated using integration by parts. Even though you…

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Q: The differential equation below models the temperature of a 87°C cup of coffee in a 23°C room, where…

A: NOTE: Refresh your page if you can't see any equations. .

Q: dx + 7) Evaluate Sexy² vertices (0, 0), (2, 2) and (2,0) 2x²ydy where C is the triangle with

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Q: Express the following sum in sigma notation. Use 1 as the lower limit of summation and k for the…

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Q: 1) The derivative of y = esec-12x, x > 0 is: a) 2e³ec-¹2x x√4x²-1 esec-12x b) x√4x²-1 C) x√16x²-1 d)…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Consider each function to be in the form y = kx, and identify k or p as requested. Answer with the…

A: Given function:- y=2x

Q: 5 If ["f(x) dx = 8.1 and ["f(x) dx = 3.7, find rox) f(x) dx.

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Q: A sailboat is sailing on a lake with a constant speed of 10 miles per hour. At noon, the sailboat is…

A: given  (1) speed of the sailboat = 10 miles/hr. (2) If at noon, t = 0, Then, at t = 0, the…

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: So Lov (x + y) dy dx to polar coordinates. a. Convert the integral b. Evaluate this integral. Hint:…

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Q: Use Calculus to find the behavior of g. g(x) = x³ - 3x²is restricted to the interval.x € [-1,4] 19.…

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Q: An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) =…

A: given  rate  r(t)=120e-0.02t∫eatdt=eata+c

Q: Compare dy and Ay for y = 4x²-3 at x = 2 with Ax = dx = 0.08 Give your answers to four decimal plac…

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Q: Find the points on the curve where the tangent is horizontal or vertical. 3 x = t³ - 3t, y = t² - 4…

A: The given curve x=t3-3t, y=t2-4. We have to find the points on the curve where the tangent is…

Q: Write Sk k: 4+8+12+...+ -0-0 Do not simplify.) Write SK+1. k+1:4+8+12+...+4(k+ 1) = Simplify your…

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Q: Use the Divergence Theorem to evaluate the surface integral fF.dS where F(x, y, z) = 2₁ 56.

A: Please see the below picture for detailed solution.

Q: 2- Say whether each given sequence is an arithmetic sequence. Find the common difference and the…

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Q: Find the limit. 45x -5x² lim X-9 3-√x 45x -5x² lim X-9 3-√√x (Type an integer or a simplified…

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Q: (th) h B) none existent 2) lem Cos ho A) | TheR c) 0 D)(-1) E) None

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Q: dy 13. Determine the derivative dx for y= -4x 4. Show your work.

A: y= -e-4x/4

Q: 6. Change the order of integration and evaluate 1 3 3y e-² dxdy.

A: To change the order of integration and to evaluate ∫01∫3y3e-x2 dx dy.

Q: (D²+10D + 25)y = -2xe-5x

A: We have to solve the given differential equation.

Q: 20. The widths (in meters) of a kidney-shaped swimming pool were measured at 2-meter intervals as…

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Q: y = ln x, xy = 4, x = 1, x = 3

A: NOTE: Refresh your page if you can't see any equations. . here we have and the given interval is…

Q: Find the average rate of change of the function over the given interval. P(0)=03-202+60; [1,2] ΔΡ ΔΘ…

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Q: Find the slope of the function's graph at the given point. Then find an equation for the line…

A: Given query is to find the slope and the equation of the tangent.

Q: Use graphs to evaluate 2π S 0 sin x dx and 2π So 0 cos x dx.

A: The given integrals ∫02πsinx dx and ∫02πcosx dx. We have to find the value of the integrals using…

Q: Use the summation formulas to rewrite the expression O O 4 8 71 72 6 8 6 S I I I + n 8 4 72 8 S…

A: 12+22+...+n2 = n(n+1)(2n+1)6. 1+2+...+n = n(n+1)2

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = x3,    0 ≤ x…

A: I have appended the formula used in the solution part

Q: 40. Solve forx: -3+ tan² x=0

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Q: What is the median of the following list of numbers? [4, 12, 12 6, 10, 3] Number

A: given numbers  4,12,12,6,10,3first step is to find median is to sort our dataset from lowest to…

Q: Lim CSC X xox-² (ex-1) -2

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Q: your answer State the leading term of x4 + 3x6 - 7x⁹ - 10. The leading term is -7 × Edit

A: To find leading term

Q: 1. Given the equation y = -7cos(4x + 20), find the following: (write the answers here and on paper)…

A: To solve the following problem and find the following things

Q: Find the area enclosed by  x=2cos(t) + cos(2t), y=2sin(t) - sin(2t) 0<t<2

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Q: 1. Use trigonometric substitution to evaluate the integral √9-x

A: We need to solve integral.

Q: Topic: Time Rates: Inverse trigonometric functions A balloon leaves the ground 500 feet away from…

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Q: ermine the equation of a quintic function with zeros at 1±2 passes through (2, -16).

A: Solution of the problem as follows

Q: Let f(x, y, z) = tan(x²y³z4). Compute fry (x, y, z). Simplify your final answer.

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Q: 4. Determine the derivative dx of a. dy 4(34*) In 4 dx 4(3¹) In 3 b. dy y = 34* dy dx . Show your…

A: Explanation of the answer is as follows

Q: a²u əxəy ди dx = pt when x = 0, u = siny+ 3y² + 1 =e*cosy + 2xy when y = 0,

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Q: 9) The sequence a₁ = a) Diverges b) Convergest c) Converges to 15 2 d) None of the above 4n²+1

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Q: Use Euler's method with step size 0.5 to compute the approximate y-values y1, Y2, Y3 and y4 of the…

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