Evaluate: / sech[in cosr Janx dx A -2 tan-1(e cosx) +c cOsx B) None 2 tan -(e cOx) + C COSA D - 2 tan-(cosx) + C E 2 tan -(cosr) + C

Q: Evaluate the following iterated integral. 2 16 15y dx dy 2.

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Q: Find the area of the triangle with vertices P(1,2, –5), Q(0,0,0) and R(2, 4, 1). NOTE: Enter the…

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Q: The concentration of a drug t hours after being injected is given by C(t)=0.8t / t^2+68. Find the…

A: This question can be solved using the concept of maxima and minima.

Q: Let a = ci + jand b = 7i + 49j. Find c so that a and b are orthogonal. C = i

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Q: Find the Maclaurin series for the function. f(x) = 3 sin 2x 00 21 (Type an expression using n and x…

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Q: Let f(x, y) = xy + 4y and x = st, y = 2t – 3s. %3D

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Q: Determine the equation of the tangent to the graph of y = [2~/x - x][1+ /x - x ] at the point (1,…

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Q: 1. Water is being poured at the rate of 2 n m³/min. into an inverted conical tank that is 12-meter…

A: Let's find.

Q: (x² + y³ )dx – –dy = 0 The equation ху Separable 1st order ODE Exact Homogeneous Linear

A: Solving

Q: xist enter DNE.

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Q: Evaluate the limit, if it exists: x²-9 lim *-3 X+ 3 does not exist -6 1

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Q: Solve if the improper integral below diverges or converges. If it converges, solve for the value. 1…

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Q: 2. S dx I+,x

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Q: An object moves with acceleration function a(t) = 5 + 2t – 9t². Its initial velocity is v(0) = 6 m/s…

A: Find out the position after t seconds.

Q: Find f"(-1) if Ax) = (x² -x+1)(x +1). O -1 3. O -3 9.

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Q: (a).x = 61, y = - 4 + 7t O (r, y) = (0,4) + «(6, 7) ai + bj = 4j + 1(6i + 7j) O (1, y) = (6, 7) +…

A: topic - equation of a line

Q: Determine if the improper integral el/x dx x2 converges or diverges. If it converges, find its…

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Q: Find the equation of the tangent line for x=t^3+1, y=t^2-t at t=1

A: x=t3+1  y=t2-t To be found - Tangent line equation at t=1

Q: 2. If a function f(x) is differentiable at x-a, then function f(x) is continuous at? А. х-а В. х-х…

A: Given problems:-

Q: (a) Find the series' radius and interval of convergence. Find the values of x for which the series…

A: For radius and interval of convergence we will first findlimn→∞an+1an then equate it to <1 and…

Q: Write the standard form of the quadratic function whose graph is a parabola with the given vertex…

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Q: х2 - бх + 9 V6x – x2 хр

A: Given problem:- ∫ (x2 -6x+9)/√(6x-x2) dx

Q: S (2x² + 3)dx S(5 +) dx 4.) 5.)

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Q: t (s) 0 0.5 1.0 1.5 2.0 2.5 3.0 v (ft/s) 0 5.7 9.2 15.5 17.5 19.8 20.2

A: The given data is: t(s) 0 0.5 1.0 1.5 2.0 2.5 3.0 v (ft/s) 0 5.7 9.2 15.5 17.5 19.8 20.2 To…

Q: 5) S dy 5.)

A: The given integral,      ∫28-y2dy

Q: d What modificatioIis would have to be made to find the derivative sin 6 if0 is given as dx an angle…

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Q: Is it a function? 4 12 yes or no -1 -3 -4 -5 -21 Explain. 1 -3 4 12 -2

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Q: You are stationary on the ground and are watching a bird fly horizontally towards you at a rate of 5…

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Q: IS Suppose that z = 0 is a regular singular point of the ODE az(x)y"+a1(x)y' +ao(x)y =0 and that ri…

A: We have to write solutions set for the given differential equation.

Q: homogeneous

A: We have to solve the given differential equation according to the given information

Q: Question Using Rolle's theorem for the following function, find all values c in the given interval…

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Q: d -sin ở if0 is given as What modifications would have to be made to find the derivative - an angle…

A: Let's find.

Q: 24. y' + y = -x/y

A: We have to find the solution of the given differential equation.   According to our guidelines we…

Q: Q2) Solve the D.E dy + (xy – xy²)dx = 0

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Q: Find an equation of the plane through (-7, 2, –6) that is perpendicular to the planes 4x – y + z = 4…

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Q: Given that x=t3+t and y=3/2t4+t2, find dy/dx, d2y/dx2, d3y/dx3

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Q: 2 3 4 5 1'2' 4'8'

A: topic - formula for sequence

Q: 24 3y7 ts dy

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Q: Determine whether the series is convergent or divergent. En=1 (-1)"3" 2 -1 4"

A: Root Test: Suppose that we have the series ∑an. Define,  L = limn→∞|an|1n Then, If L<1 then the…

Q: u(x, y) = e*cosy + x² – y² finde the harmonic utilities

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Q: For the series below. (a) find the series' radlus and interval of convergence. For what values of x…

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Q: (-3)"(x – 2)" Consider the power series Vn+2 Use Alternating Series Test to show that the series…

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Q: 7. F- dr from (0,0) to (3,9) along the curve y=x' if F(x, y, z) = 4 xyi + 3xy'j Evaluate

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Q: ...................... Consider the following. 4 f(x) = (a) State the domain of the function, all…

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Q: Find inside r-2 oud side r=z0s6 in find quarer. area

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Q: Consider the following. f(x) = x4 + 6x² – 27 (a) Write the polynomial as the product of factors that…

A: The given polynomial is f(x)=x4+6x2-27 ........................................ (1)

Q: Find the area of the band cut from the paraboloid x² + y² – z = 0 by the planes z = 2 and z = 6.…

A: To find the area of the band cut from praboloid.

Q: 3. The radius of a spherical balloon is increasing at the rate of 2 cm per minute. How fast is the…

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Q: а. Consider the functions y = 2u² + 3u and u = x². Find dx b. Find the derivative of the function…

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Q: Compute f'(a) using f'(a) = lim f(a + h) – f(@) or f'(a) = lim Tx) – J(d) for f(x) = 15x³, a = 2. or…

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