Question Using Trigonometric Substitution, evaluate: S e4*/1+ e2xdx Your answer

Q: Find the solution of the differential equation that satisfies the given initial condition. dy y(0) =…

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Q: 2, 22, 23 5 67 8 * 3. Test the series

A: Write the series as summation and use ratio test .

Q: 5(3х-1) dx sec ( 3x²-2x)

A: On doing integration we will get

Q: A company has identified that the revenue R for a particular product is given by the function f(x) =…

A: Solution is here

Q: A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum…

A: Both these questions can be solved by applying the concept of maxima and minima.

Q: 1. Given f(x) S(x) = x² + 4x - 2 and g (x) = 3x – 4 , find the composition of functions for the…

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Q: Consider the function f(t) = 3 sec?(t) – 4t². Let F(t) be the antiderivative of f(t) with F(0) = 0.…

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Q: Find dy. y = vx + 10 dy = (Simplify your answer.)

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Q: Constraint:

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Q: Shasta was working at differentiating a function p(x) and they found that p'(0) = In Unfortunately,…

A: We will determine the value of the constant a as following.

Q: A box is to be constructed from a piece of square cardboard whose perimeter is 36 inches by cutting…

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Q: Suppose that enrolment in CLSU has been increasing over the years since year 2014 according to the…

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Q: Consider the parametric equations below. x = 5t - 4, y = 4t + 2 (a) Sketch the curve by using the…

A: Consider the parametric equation  x=5t-4,  y=4t+2

Q: For 5, Sketch the region enclosed by the given curves. Find its area. Make sure you show how you…

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Q: Find the dimensions of a rectangle with area 216 m² whose perimeter is as small as possible. (If…

A: Find your answer below

Q: 1 a. f(x)3D 4 b. g(x) = - X c. h(x) = 3 -

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Q: 2. Vy-2+1 dy

A: ∫vn dv = vn+1n+1+C

Q: 1. Solve the given the equation using the integrating factors found by inspection. ydx + (x +…

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Q: Differentiate implicitly to find dy/ dx. Then find the slope of the curve at the given point. x²y? =…

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Q: Find the MacLaurin series for the function f(x) = (1 + x)7. It is actually finite – it’s a…

A: Maclaurin series for f(x) is given byf(x)=f(0)+f'(0)x1!+f''(0)x22!+f'''(0)x33!+...f(x)=(1+x)7…

Q: 4. Consider the integral (a) Draw the region of integration. (b) By reversing the order of…

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Q: 40- 4v-v dv

A: ∫xn dx =xn+1n+1+C ∫cos(ax) dx =1a sin(ax)+C

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(1,…

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Q: Find the absolute extrema of the function. h(x) = ex2 − 9 on [−3, 3] absolute maximum value: ___ at…

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Q: 3dt 1. (2t+8) Vt+1

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Q: The recurrence relation a,= 6an-1 - 9a,n-2, with initial term ao=1 and a,=6 has a solution, which is…

A: We need to find solution of recurrence relation : an=6an-1-9an-2 with initial term a0=1 and a1=6

Q: Bernoulli Equation (10) y'+3x²y = 4x²y² (11) (x²y* – 1)dx + x³y³dy = 0 (12) x2 4y + 2xy = 5y3

A: Note : As per our Guidelines , we can solve first question . Please repost remaining question.…

Q: Find fx , fy and fz. 1 -1 f(x, y, z) = tan %3D \xy²z4, ().

A: Here we will find Fx,Fy,Fz;

Q: A bacteria culture is known to grow at a rate proportional to the amount present. After 60 minutes,…

A: We will find the number of strands of the bacteria originally in the culture as following. After 60…

Q: (Rounded to the nearest hundredth) Use the cylindrical shell method to calculate the volume of the…

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Q: Determine whether (-±) is part of the unit circle or not.

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Q: Solve the system of linear equations using Gauss-Jordan Elimination and Reduced Row Echelon Form…

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Q: 3x-4 1. Y= Arctan 4

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Q: Use the cylindrical shell method to calculate the approximate volume of the solid formed by rotating…

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Q: F(x)=x+1/x Find the Point of inflection, All asymptotes and all local maximums and minimums?

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Q: Evaluate each of the following indefinite answers in simplest form (factored form) 3dt 1. (2t +8) Jt…

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Q: If A = [1 2 3], which type of the given matrix A ?

A: Given Matrix A=[1  2  3 ]1×3  Here number of row=1  Number of columns=3

Q: Idx/(1-2x) = 1/2 In]1 -2x + C Select one: O True O False

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Q: if xo = 2, x1= 3 and x2 = 4 the second degree %3D %3D polynomial for f(x) = ! using Lagrange %3D…

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Q: Grien that the graph of fx) passes throush the point (7,4) and that the slope of its tanger line at…

A: Given problem:- Given that the graph of f(x) passes through the point (7,4) and that the slope of…

Q: Solve the initial value problem. d?r 2 dr = 5, r(1) = 4 dt2 dt t=3

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Q: Find the radius of convergence about x = -2 and interval of convergence of the series Sn°(ar + 2)"…

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Q: Approximate the root of f(x) = x - 3 with the bisection method starting with the interval [1, 2].…

A: According to Bartleby's guidelines we are allowed to solve only 1 question at a time. Apologies for…

Q: Find, correct to three decimal places, the point on the curve y 9 In x + eX at which the tangent…

A: Find your answer below

Q: Use the cylindrical shell method to calculate the volume of the solid formed by rotating the graph…

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Q: Directions: In implicit differentiation, we differentiate each side of an equation with wo variables…

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Q: true or false 1. ∫dx/(1 - 2x) = 1/2 ln|1 - 2x| + C 2. ∫ (1 - 4x4 + x3)/x3 dx = 1/(2x2) + 2x2 - x…

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Q: Find the second derivative of the function. f(x) = e−4x + e2x

A: Given query is to find the second derivative fi the expression.

Q: 3dt 1. (8) +1 2t+

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