Evaluate: fx³√49 - x² dx. Write your answer as an algebraic expression in terms of

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Q: Part IV: Review Problem for Final (do if you have time or at home) 11. Let r= 6cos (50). Find the…

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Q: 2. Find the limit. Show your steps. (a) lim x18 X √x² + 3x + √√√x² + 2x (b) lim x18 4 (x + 1)¹ (2x²…

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A: The pH of a solution is given by formulaWhere,  is the concentration of the hydrogen ions in gram…

Q: 2. Determine the absolute maximum and minimum values of f(x) on the interval -2≤x≤05. Decimals…

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A: To find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: (Enter your answer using interva

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Q: (20) Consider E-1 If the ratio test is applied to the series, which of the following inequalities…

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Q: Find the indefinite integral.

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Q: Find the general solution of the differential equation r' (t) = (2-7t)i + 10tj. (Use symbolic…

A: given here a differential equation and asked to find the general solution.

Q: Find functions f and g such that h = go f. (Note: The answer is not unique. Enter your answers as a…

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Q: O O y=3x² + C y = Ce ¹/2x2 – 1 = 1/2 e*² y=C√x+3 y= +C

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Q: Find the solution of the differential equation r' (t) = (et-6, 2-1, 1) with the initial conditions…

A: r''(t) =<e6t-6, t2-1, 1>r(1)=<0,0,11>r'(1)=<7,0,0>

Q: , x² - x √x dx

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Q: x +4 X-7 (a) the average rate of change of f(x) on [x, x + h] Given the function f(x) = (b) the…

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Q: Use the graphical 2-D method to minimize subject to z = 3x₁ + 6x2 I1 3x1 x1 + x2 + 7x2 7x2 + 522 >…

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Q: To test the series is the case with all series of this type.) According to the P-test: 1 diverges…

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Q: If dy = x cos x² and y = -3 when x = 0, when x = π, y = -3.215 2 1.647 6

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Q: (4) The interval of convergence B) (---) A) [0] of the power series C) (-3,3) is: -1 D) (-∞0,00)

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Q: 9-36 Evaluate the integral. 9. [x²³√/16 + x² dx 11. 13. X² dx dx So №o (a² + x²) ³/²³ a>0 10. 12.…

A: Given

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A: r(t)=<t2,1-t, 4t>a(5)=<5,-8,6>a'(5)=<8,8,3>

Q: 3n (c) 201 n=1 Vn

A: To test the following series for convergence.

Q: 2. -y (y+₁)-√y+₁ dy

A: The given integral is We can easily solve this problem using the substitution method.

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Q: 1. Perform the indicated operation. X (1-2x)3 dx

A: We need to evaluate the following integral

Q: A ladder 15 m long leans against the wall. The ladder slides down the wall at a rate of 1.5 m/s.…

A: A ladder 15 m long leans against the wall. The ladder slides down the wall at a rate of 1.5 m/s.…

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A: The Lagrange multiplier technique is to be used to find the points on the ellipse  closest to and…

Q: c) Find the equations of the tangent lines to the curve In(x² + xy) = 1+z²y at the points where it…

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Q: Find the domain of the function. (Enter your answer using interval notation.) f(x) = √√√ 7x² + 11

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Q: Evaluate the limit. 1², -5t, 7 ) = (xo, Yo, zo) (Use symbolic notation and fractions where needed.)…

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Q: 324,999,900 S 325,000,000 1+3,249,999.-० -0.2X

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Q: - Q1. Consider the function f (x) = − tan(x − π). a. Determine f '(x). b. Determine the slope of the…

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Q: calculate 1.100 1/2 dz, and 1100 1/2 dz x² x²

A: Solution- We know n=-2

Q: MA 27- 25 +- 3 -+ 1960 1970 1980 1990 2000

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Q: For the position function s(t) = - 16t+106t, complete the following table with the appropriate…

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A: To find a parametrization of the line through the origin that satisfies the given conditions, we can…

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Q: dx cos²x •/.

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Q: Find the indefinite integral. x²³ ex²-1 dx

A: let

Q: Evaluate the following integral by first converting to polar coordinates. Z 2 −2 Z 2 − √ 4−x2 cos(x…

A: x is varying from -2 to 2y is varying from - to 2The region is a circle which lies only in first two…

Q: A $4536 loan was repaid with $5978. If interest was 4.8% compounded semi-annually, for how many…

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Q: bind f'(x) f(x) = x² +4 X2-4

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Q: A cubical box has interior measurement of exactly 3 meters long along  each edge. If the material…

A: To approximate the volume of the material used in constructing the box, we can consider the…