3. Integration by parts a.j 18x ( x+ 4)»

Q: Vear 2008 16,680 2010 16,858 2012 18,066 2014 21,366 2016 25,085 ind the average rate of growth (in…

A: formula for average rate of change

Q: / Graph the following functions ( 1) y = 4 sin x 2) y = cot x %3D 3) y = csc x %3D

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Q: Work Problem 1( Use implicit differentiation to find dy/dx where x+7y10 = 3

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Q: 3- fxvx? +1 dx

A: Let's find.

Q: Approximately the greatest error in calculating the hypotenuse of a right triangle from the lengths…

A: This question can be solved using the concept of total derivative.

Q: 3. Determine the differential coefficient of y =-+2x – 3 when x = 7 4. If f(t) = 3 sin(4t + 0.12) –…

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Q: dx 1- S 4+x2

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Q: Consider the function f(x) = 2x – 3x? – 36x + 54. a. Find the first derivative. f'(x) b. List any…

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Q: ôt)i+ 8 sin(6t)j + 7tk

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Q: For function f, how would you remove the discontinuity? In other words, how would you define f(5) in…

A: For continuity limit of function at a point should be equal to functional value at that point.

Q: Use the power reduction formulas to rewrite the expression, sin2(6x)

A: Given query is to rewrite the expression.

Q: Evaluate (2x – y) dx + (x + 6y) dy. C: x-axis from x = 0 to x = 7

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Q: Solve the system by using Gaussian elimination or Gauss-Jordan elimination. 2x+7y = -13 3x+18y = -42…

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Q: Find the general solution of the differential equation: dy + (2xy – 4e¯*)dx = 0. What is the…

A: Solve it.

Q: Verify Green's Theorem by evaluating both integrals an aM dA y² dx + x² dy = |/ əx ду for the given…

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Q: Find an equation of the tangent line to the graph of y=g(x) at x=5 if g(x)=-6 and g’(5)=2. Answer…

A: We have to find equation of tangent line

Q: Evaluate the integral sin* r cos r dx. (a) sin' z- 1 sin r + C

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Q: 8. The base of a solid is a region in the first quadrant bounded by the r-axis, the y-axis, and the…

A: The given is a half cone which has radius =4 Height =8

Q: a) If | f (x) de f(x) dx = 2, find 1 (3f(a) – 1) de. = 7 and || - /4 (b) Estimate the value of the…

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Q: 1. /(x)=-4x-6 Slope: 1. f(x) - 5x - 4 y-int: Graph: Slope: y-int: Graph:

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Q: Solve the following initial-value problem using Laplace transforms. y′′−y′−2y= 5 sin(x); y(0) = 1,…

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Q: 3) Water is being poured at the rate of 2TT m3/min. into an inverted conical tank that is 12-meter…

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

A: given  r(t) = cos(πt) i - ln(t) j + √(t-4)k ; t0 = 5  Have to find domain of r(t) and valu of r(5).

Q: Q2/ Find the domain and range for the following functions 1) y = 2) y = x +! 3) y = 3+2 cDsx 4) y =…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) + 48 dx

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Q: 20. Write the equation of the line that has the indicated slope and y-intercept. Express final…

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Q: Given the differential equation 8 x y" = Using Reduction of Order and the letter "R" to this…

A: Given query is to find the value of R.

Q: What is the volume of the solid formed by revolving the region bounded by y? = 4æ and a = 4 about…

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Q: Find the area enclosed by the curves y = y = 2 1- 9x2 2n 9. 5n 6. D

A: We need to find area.

Q: 3. Calculate the volume and total surface area of the solid prism shown. 11 cm 4 cm 15 cm 5 cm 5 cm…

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Q: Ans: y-x+ In y+3, dy = 7. ху+3x-у-3 dx ху-2x+4y-8

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Q: If a > b, it is possible to have log,(a) < log.(b). (As usual with logarithms, a and b are positive…

A: To determine whether the given statement is true or false.

Q: The substance's amount at time t may be modeled by an exponential function. Substance X has an…

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Q: 3x+1 7. 9e ax

A: The given integral,       ∫9e3x+1dx

Q: N = f(t) = 5000exp(-1/12(t-40)^2) is the form for number of infections, where t = 40 is the peak a)…

A: Let's find.

Q: Find the total area enclosed between y = r and y = x over the interval [-1,5]. NOTE: Enter the ezact…

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Q: Question 5 of 10 A spring whose natural length is 13cm exerts a force of 37N when stretched to a…

A: Let's find.

Q: Find the arc length of the parametric curve. = 4 cos(t), y = 4 sin(t), % = 3t; 0 < t < T L =

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Q: The critical numbers of the function f(x) = x³ – 6x2 are x = 0 and x = -4. Select one: True O False

A: Given; fx=x3-6x2   As we know that; To calculate the critical numbers of the function, f'x=0.   And…

Q: Find the parametrization for the line through (-4,9) and (8, 13). (Use symbolic notation and…

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Q: 2- fx'e-2x* dx

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Q: 7. Consider the curve x = 3t + 4t3 + 100, y = 3t - t3, -2 <t< 2. dy What is dy when t = 1? dx (a)…

A: Let's find.

Q: For what values of a, if any, does the series shown below converge? 00 a 2 Σ n+6 n+9 n= 1 Select the…

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Q: Q3/ Find the area of zone bounded by curves: y= x , y= 3x+8

A: To find the area of the region bounded by the given curve

Q: Verify Green's Theorem by evaluating both integrals ƏM r dx + x² dy= dA ду Ne for the given path. C:…

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Q: 3- f xvx2 + 1 dx

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Q: Find the total area enclosed between y = x and y = a over the interval [-1,5]. NOTE: Enter the exact…

A: The region bounded  by y=x3 and y=x over the interval -1,5

Q: Estimate the error if P2(x) = 1- is used to estimate the value of cos x at x = 0.6. 2 ...…

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Q: ||r'(t) × r"(t)|| ||r(t)||* Use the formula k(t) : to find «(t). %3D r(t) = t’i + t®j %3D 390 t14…

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Q: Find the point (x, y) of x+14xy+ 49y = 100 that is closest to the origin and lies in the first…

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