Solve for t. Give exact simplified answer(s). (e-2t + 6) (e-5t - 13) = t =

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A: Given query is to find the arc length.

Q: Let F = (e³ª, sinº x, cos² x). Calculate curl(F). curl(F) =

A: Given  F = e5y, sin9x, cos2x We have to calculate curlF.

Q: Evaluate the integral SSSR x² + y² + z² dV where R is the region bounded above by the paraboloid z =…

A: Let's evaluate the given integral.

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A: Given problems:- b) ∫6w3+7wdwc) ∫y+14ydy d)∫123z-24dz

Q: Then Suppose f(x) dx = 13 and 8 12 4 [ 12 13 and ["fl f(x) dx = f(x) dx = 5.

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Q: (s² – 1)³ 56 F(s)-¹ 1-1 {(8²50 e + -TTS – - 2πS s² (s — 4)

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Q: Determine whether the series converges. Σke-k² 8 k=1 The series

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Q: If the marginal revenue for ski gloves is R'(x) = function. R(x) = - 0.2x + 60 and R(0) = 0, find…

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Q: Find the indefinite integral. Hint: u = x-5 implies x = u + 5. [x(x-5)³dx

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Q: dy 23. If y=f(x² - 2x + 7) and ƒ (10) = 2, determine at x = 3. Show your work. 2T dx a. 2 b. 6 C. 8…

A: Given:         y=fx2-2x+7   and  f'10=2 Then dydx at x=3 is:      y=fx2-2x+7 differentiating with…

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Q: Suppose g is differentiable for all x, with g(1) = 0 and g(4) integral is equal to sin ¹(4) ㅠ 2 0-2…

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Q: ezy -x³y +4 x 9. find the directional derivative of f at the point (1, along the direction of the…

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Q: Find the Taylor series, centered at c = 3, for the function 1 1 - x² f(x) = (-1)^(4n-3) 8hn! The…

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Q: Let f be the function given by f(x) = −4|x|. Which of the following statements about f are true? 1.…

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Q: 4. Given the equation below, where x>0, b>0, b=1, then the solution for b in terms of x is Option 4…

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Q: Write an equation of the parabola given to the right. The equation of the parabola is 10 8 6 10-…

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Q: At a computer store, a customer is considering 6 different computers, 8 different monitors, 9…

A: The answer is given in step 2   Topic: Multiplication rule of counting

Q: Find the indicated partial derivatives of: дz дх дz ду z = ln(x2 + g³)

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Q: Find the general term of the sequence, starting with n= = 1. Determine whether the sequence…

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Q: Given the price-demand and price-supply equations below, determine the equilibrium price.…

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Q: Find the indicated partial derivatives of: fz(x, y) = fy(x, y) = f(x, y) = 1r - 6y -8x - 6y

A: Givenf(x,y)=1x-6y-8x-6y We are required to findfx(x,y)=?fy(x,y)=?

Q: Find the initial horizontal velocity and vertical velocity for each situation.

A: According to question,Given,Velocity v= 1200 ftsecAngle with the ground = 42o

Q: If sin x=3/5, x in quadrant I, then find (without finding x) : sin(2x)=___ cos(2x)=___…

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Q: Choose the correct answer. O A. B. log ₂6. log ₂y + log 2² log ₂6+ log 2y + log 2² C. This cannot be…

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Q: Find the function's absolute maximum and minimum values and say where they are assumed. 4 3 f(x) =…

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Q: Determine each of the following limits using any technique, 3x-2x x-0 7x-4x b. lim (In(x)) a. lim c.…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: 6 6 If [ f(x) dx = 33 and fºs g(x) dx = 16, 6 ¹° [3F find [3f(x) + 4g(x)] dx.

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Q: Find the net signed area between the curve of the function f(x) = x³ and the x-axis over the…

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Q: Show that the given curve c(t) is a flow line of the given velocity vector field F(x, y, z). c(t) =…

A: We have to show the following conditions according to the given information

Q: 6. The slope of the line normal to the graph of y = 2 In(secx) at x = is

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Q: Find three positive real numbers whose sum is 36 and whose product is a maximu Enter the three…

A: Let three positive numbers are x,y,z

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Q: Given that f(x) = x³h(x) - h(1) = 5 h' (1) 8 = Calculate f'(-1).

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Q: Use the limit definition of the definite integral to determine the value of the definite integral…

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Q: 3 √x²x³-1 3 1 dx

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Q: (b) Use Laplace transform to solve the following systems of equations y' + x = e³t x' - y = 0 1 x(0)…

A: Let's solve given two parallel differential equations.

Q: se synthetic division to determine whether the given 3 2 √6; P(x)=x¹+x - 5x² - 6x-6 4 s √6 a zero of…

A: Please see the below picture for detailed solution.

Q: Translate the given system of equations into matrix form. x + y = z = 6 7x + y + z = 4 3x + N|M =…

A: To translate the given system of equations into matrix form.x+y-z=67x+y+z=43x4+z3=1

Q: If cot(x)=3/22 (in Quadrant-I), find  sin(2x)=

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Q: West Gorham High School is to be located at the population center of gravity of three communities:…

A: We have to find the location of West Gorham High School.

Q: Find the indefinite integral. X LA 1-X dx

A: Let's solve indefinite integral.

Q: d. 3 +e=tan(x-y)

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Q: Find the average value of f(x) = 2 sin²(x) over [0, 2π].

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Q: Consider the curve x²y + y²x = 6 A) Find in terms of x and y dx

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Q: The rate of U.S. per capita sales of bottled water for the period 2007-2014 could be approximated by…

A: given rate is  s(t)=0.25t2-t+29refrence is year 2007 fot 2007 to 2014,   0≤t≤7there for 2009 to 2012…

Q: Find the dimensions of the rectangular box having the largest volume and surface area 80 square…

A: To find the dimensions of the rectangular box having the largest volume and surface area 80 square…

Q: The graph of g(u) = - 2u + 2 is given below. + -4 -3 -2 -1 Q Use the limit definition of the…

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