Determine the derivative in fully factored, simplified form for y = (x + 1)³(2x − 1)².

Q: Compute the derivative of the function y (Use symbolic notation and fractions where needed.) 8 sin…

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Q: Q1 Find all the eigenvalues and eigenfunctions for the following BVP: y"+Ay = 0, y (0)=0, y (π)=0…

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Q: 1-s Evaluate: L-¹{ } =? s²+4

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Q: Use Separation of Variables to find the general solution of the following differential equation.…

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Q: M8

A: Use the Ratio test

Q: The graph below shows a transformation of y = 2* 2 Write an equation for the graph above.

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Q: Let C be the positively oriented closed plane curve consisting of the line segment from (-3,0) to…

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Q: What is the exact value of tan csc

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Q: Solve for x by converting the logarithmic equation to exponential form. log (x) = 5

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Q: consisting of those points P such that |PA|² – |PB|² = 12. Give your answer in the form ax + by + c…

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Q: Determine the convergence or divergence of the series. 1. Σne-n² n=1

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Q: Find the reference angle 0' for the given angle 0. 0 = 312°

A: The angle is given by θ = 312° For this angle terminal side is in fourth quadrant. To determine: The…

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Q: Q.8. Find the reference angle for the angle 6.1 radians. Round your answer to one decimal place.

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Q: Suppose that a particle moves along a straight line with velocity v(t) = 10-2t, where 0 < t < 3 (in…

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Q: In Exercises 23-26, use the revenue function to find the marginal revenue for selling x units. 24. R…

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Q: 1. Let F(t) = (e¹−¹ – ť², 3t² + 1, 4-5 lnt), G(1) = (-6, 1,0), and f(t) = cost. Evaluate: (a) (F-G)…

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Q: The terminal side of 0 lies on the line 12x + 5y = 0 in the second quadrant. Find the exact value of…

A: We need to find exact value of tan.

Q: Evaluate the double integral 8ay dA, where D is the triangular region with vertices D (0, 0), (1,…

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Q: (Use symbolic notation and fractions where needed. Use C for the arbitrary 70 2 (x + 1) (x² +9) ² dx…

A: To integrate the following question.

Q: Determine whether the series's converges or diverges

A: we have given series ∑n=1∞ 4n+13n-2

Q: Determine the speed along a parameterized path c(t) = (7 sin¯¹(t), 8 tan¯¹(t)) at time t = 0 (assume…

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Q: Find the angle between the vectors. (First find an exact expression and then approximate to the…

A: a · b = |a| |b| cos(θ), where a · b is the dot product of vectors a and b, |a| and |b| are the…

Q: Using implicit differentiation, find the derivative of y at x=0, provided you know y(0)=1 x/(y+x)=4y

A: xy+x=4yy0=1

Q: Write the equation for the graph shown below. -4 -8 -2 6 -5- 4 3 2 1 4 -2 T 12 34 D

A: Equation of a line.

Q: 17 Find the value of the hypothenuse, and the value of the third side. X 60⁰

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Q: Find a correct to 2 decimal places. NOTE: The triangle is NOT drawn to scale. x2 94 56° X 29°

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Q: 1. Solve separable differential equations exy = e-y +e-2x-y dx a.

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: The population of a certain state was 10,290,518 in 1945 and 23,626,378 in 1990. a. Assuming the…

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Q: Let 7 be the plane given by 3x + y + 2z = 6. (a) Let be given by x = 2+1, y = 3t, z = t. Does…

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Q: 98 196x-x² 1. T Submit Answer 9√x²+y2 dydx =

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Q: A rental car company charges $45 plus 45 cents per each mile driven. Part1. Which of the following…

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Q: 19. C = 4500 + 1.47x

A: For a cost function C( x ) , marginal cost function is given as marginal cost function = ddxC( x )

Q: Given that = (3,-3) and 7 = (4,1),

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Q: S4.2 Derivative of a Parametric Equaton Determine the slope of the tangent line, then find the…

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Q: Vector a is What is the component form ä? Enter your answer, rounded to the nearest hundredth, by…

A: Here the given vector in the magnitude and direction form as a→=r∠θ =30∠110°

Q: Write an equation for the polynomial graphed below 4 y(x) = la 4- 3 373 a 8

A: The points at which the curve intersects or touches x-axis are zeros of the curve.

Q: In the following, let f and g be functions such that f' and g' are both continuous on [3,6] and both…

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Q: Determine the speed along a parameterized path s(t) = (31³, 31²) at time t = 2 (assume units of…

A: Given S(t) = (3t³ , 3t²) &amp; t = 2

Q: a) Express (-√3+3i) in the form reie, where (radians) lies in the second quadrant. Give your answer…

A: We have to find the value of r and θ, x and y. We will use Demoivre's theorem to find the values of…

Q: For the curve y = 3x - 3 find the parametrization c(t) satisfying the conditions c(3) = (7, 18) (Use…

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Q: Q7 Assuming y = f(x), compute [3xy²] dx

A: The function is y=3xy2.To find : Compute ddx3xy2

Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time…

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Q: 3. Find the Taylor series centred around zero for the function f defined by 5x-1 = e f(x) =

A: fx=e5x-1a=0

Q: A plate extending from depth y = 5 m to y = 7 m is submerged in a fluid of density p = 850 kg/m³.…

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Q: Find the solution of the exponential equation 1000 (1.08) 50,000 in terms of logarithms, or correct…

A: The given equation is solved for the value of t.

Q: Find the derivative of the following function. f(x) = e⁹x + 7 In (5x − 2) 9x f'(x) = (Simplify your…

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Q: 8. A circle is centered at the origin, with a quarter of the circle shown in the diagram below

A: We can obtained the various 3D figures by rotating the 2D figures The shape and size of the 3D…

Q: Use the graph to find the following limits and function value. a. lim f(x) x→1 b. lim f(x) x→1* c.…

A: The graph of the function is  To evaluate:  a limx→1-fxb limx→1+fxc limx→1fxd f1

Q: Se 2 x X 4 x 3 x Jdx

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