Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.) f(q) = 1 + 2e0.4g

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A: Consider a triangle ABC like the one below. Suppose that a=50, c=68, and A=26°.To solve the…

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Q: Integrate completely

A: Solution-

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Q: Evaluate the double integral where D is the region bounded бy у %3Dх, у%3D2х, х%3D1, х%3D2- 4ху dA

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Q: Consider the following function. f(x) = 3 − |x − 2| (a) Find the critical numbers of f. (Enter your…

A: The given series is: f(x)=3-|x-2|      =3-(x-2); x≥23-(-(x-2));x&lt;2      =3-x+2; x≥23+x-2,x&lt;2…

Q: 2.s +3 Find the Inverse Laplace Transform of (s+4) 3

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Q: 1. Using properties of definite integrals, given f(x)dx = 10 and | g (x)dx = – 2, evaluate 2 6. a)…

A: (a)∫26-f(x)+g(x) dx  = -∫26f(x) dx+∫26g(x) dx = -10 + (-2) =-10-2=-12∫26[-f(x)+g(x)] dx =-12

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Q: x - 3 7. S V25- (x-2)2 dx 8. S tan5 (2) dy

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Q: 2. Determine all critical points for the following. Identify the maxima/minima. 2/3 a) y = 6x - 4x +…

A: A critical point is a point in the domain of function where function is either non differentiable or…

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A: Let the direction ratio of required line is  l , m and n

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Q: If Y = x I" y = rn then y =? In a In x O None of the above In x In In x x2 27n ln x

A: The given function is y=xlnx We have to find derivative of y Now, rewrite the function:…

Q: (n!)2 (x-2)2 is equal to The radius of convergence of the series .... .... n=1 3" (2n)!

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Q: Let ū and i are unit vectors such that the angle between them (when joined tail to ail) is 30°, then…

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Q: Use the indicated change of variables to evaluate the double integral. 8(x + y)e* - Y dA x= u + v) X…

A: x=12(u+v)y=12(u-v)u=x+y, v=x-y(x, y)=(0, 0): (u, v)=(0, 0)(x, y)=(1, 1): (u, v)=(2, 0)(x, y)=(-1,…

Q: Consider the IVP: y" + 9y = 40ex ; y(0) = 5, y'(0) = -2. Find the general solution.

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Q: Consider a car whose position, s, is given by the table t (s) 00.20.4 0.60.8 1 s (ft) 00.5 1.4 3.8…

A: use average velocity formula for finding the value.

Q: | sinh$4x cosh 4x dx can best be evaluated by General Power Formula. A True B False

A: Explanation of the answer is as follows

Q: Find an eguation of the ellipse with Focilo,a) and (0,-2) and verticesco,3) and C6,-3).

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Q: CURRENT OBJECTIVE Use related rates to solve problems involving volume Question A tank is shaped…

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Q: b. ƒ(x) = x² ln x + sec x; find f"(x). c. f(x)= x³ sin x; find f(4)(x).

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Q: Integrate completely

A: Given,             ∫2x+12x-53dx

Q: dæ Evaluate: x/9x² +4 A) None of the above V9x² + 4 + 2 B f (x) = -2 ln +C %3D 3x © s(12) = -- In f…

A: I=∫dxx9x2+49x2+4=t9x  dx9x2+4=dtdx=9x2+49x dtI=∫19x2 duI=∫1u2-4 duI=∫1(u-2)(u+2)…

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A: This is a problem related to conics section. Based on the general formula and concept we will…

Q: Current Attempt in Progress Let a = ci +jandb = 9i + 45j. Find c so that a and bare orthogonal. c =…

A: Given :a=ci+j and b=9i+45jTo find : The value of c so that a and b are orthogonal.

Q: For each set of Polar coordinates (r, 0), match the equivalent Cartesian coordinates (z, y). Don't…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: flx)= x-x 3! %3D 5! 7! f'(x) = 1-x %3D 21 41. 6 ! 2. Drove that

A: fx=x-x33!+x55!-x77!+.......f'x=1-x22!+x44!-x66!+........

Q: Given the power series 00 2" (x + 4)" n =0 n! Find the "Radius of Convergence" for the series. (A L…

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Q: Solve the equation 4cos2B – 4cos B = 3 given that 0 < B < 2r. Provide your answer below:

A: We have to solve the quadratic equation, it's roots will give value of the solution

Q: 4. Determine the general equation of the plane containing the points P(1, –4, –5), 3 Q(2,0, 13) and…

A: Given :P(1,-4,-5)Q(2,0,13)R(-3,34,6)

Q: 2s + 3 Find the Inverse Laplace Transform of (s+4)3 e" (2cos21+ sin2r) 2 A

A: I am attaching image so that you understand each and every step.

Q: A tank contains 150 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram…

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Q: Find the arc length of the parametric curve. = 14 cos(t), y = 14 sin(t), z = 48t; 0<t <T

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Q: If cos(0) = 2, and 0 is in Quadrant II, then what is sin (:)? Give an exact answer, using radicals…

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Q: Find an equation of the plane that passes through the point P(4, 6, 3) and has the vector n = (1,6,…

A: I have stated the used formula in the solution.

Q: Determine if the following statement is true or false. The points P(1, 0, 1), P2(3, - 4, - 3), P3(4,…

A: Use the distance formula to determine whether given lines laying on a same line or not.

Q: To evaluate sin e de , factor sin³e as (sin²e) ² sin® and let sin²0 =-(1- cos20). A True B False

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