Integrate f sinh 2x dx

Q: dw Find using the appropriate Chain Rule for w = cos(4x−4y), where x = tº and y = 3. dt

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Q: 1.) Use the arc length formula to find the length of the curve y = 3x + 2 on the interval 0 ≤ x ≤ 3.

A: Given data  y=3x+2 Interval ÷ 0≤x≤3 Formula for arc length is given by  L=∫ab1+dydx2dx

Q: Evaluate using integration by parts o a) (In 3x dx

A: As per the rules of the company we can only the first question and rest others can be reposted.

Q: f(x)=√x+1

A: Graph of the function and equation of the function is given, we have to find its domain and range

Q: 2. S (2x-5)dx x2-5x+3

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Q: Exercise 14. Determ (a) f(x)=x" (b) f(x) = ln x 1 7-x (c) f(x) =

A: a.fx=xnDnax+bn=n!an…

Q: 5x2–80 lim X-4 X-4

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Q: Write an equation for the transformed logarithm shown below, that passes through (3,0) and (0,3) -5…

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Q: Find the lengths of the sides of the triangle with the indicated vertices, and determine whether the…

A: A detailed solution is given below.

Q: Consider the parallelepiped with adjacent edges Find the volume. V = i u = Si + 5j + k v = i + j +…

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Q: Determine whether the following is convergent or divergent and justify

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Q: (jw)²x1w) = 21 A (b-a) sin (bw) - sin(aw)

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Q: A decreasing derivative f'(x) corresponds to a concave down function f. On which interval(s) is f…

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Q: Suppose that f(x) = J'(-2) = f'(1) = X Evaluate each of the following:

A: We have to find derivative

Q: Find the solution of the given initial value problem: y(t) = y" + y = sec(t), y(0) = 11, y'(0) = 5,…

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Q: If the angle of the moon is decreasing at 0.25 radian per hour, how fast is the shadow of a 150 ft…

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Q: The gradient at (-2,1) is

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

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Q: Solve the differential equation by variation of parameters, subject to the initial conditions y(0) =…

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Q: Find the derivative of f(x) = (8x — 9) ƒ'(x) = 10 Simplify as much as possible.

A: f(x)=(8x-9)-107

Q: 3 S4e³ lnx dx

A: This question is related to Indefinite integration, we will solve it using given information.

Q: The general solution of xy' = -x3³y-csc (xy) is A B C D 2x²cos (xy)+1=cx² -2xcos (xy)² + 1 = cx²…

A: Please see the below picture for detailed solution.

Q: 1) Evalúe a) csch (In 3) b) cosh (0)

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Q: Suppose that f(x) = /'(-2)- - f'(1) = 6x + 16 X Evaluate each of the following:

A: we have to find derivative at a point

Q: (f) ) (3x − 1)√√x² + 2xdx - (8) / sin". (h) [ sinh r cos adr sin x -dx √cos5 x

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Q: 품 tan (2x) sec² (2x)dr

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Q: Find the derivative, f'(x), for f(x) = S dr 3 sinr+2 (₁²³+√7) X A f(x) = B f(x)= −sinx − 2 x²³+√√x X…

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Q: 5x^4-8x^3+6x-5 find the second derivative and find the concavity upward and downward

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Q: 2x-√5+4x lim x→6 x-3

A: The given limit is limx→62x-5+4xx-3

Q: Use the method of variation of parameters to determine the general solution of the given…

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Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. (-1)^…

A: Solve the following

Q: Let y = tan(4x + 3). Find the differential dy when x = 3 and dx = 0.3 Find the differential dy when…

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Q: x'+z=et; x(0) = 1

A: Take z as constant

Q: termine whether the following is convergent or

A: Please refer to the image below

Q: Je t ež cos (2t)dt

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Q: You are planning to make an open rectangular box from a 31-in.-by-61-in piece of cardboard by…

A: First take a square of length x then make a box and find the volume in terms of box . And…

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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Q: dx 2+2 sin x + cos x

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Q: 2a It costs c dollars each to manufacture and distribute backpacks. If the backpacks sell at x…

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Q: Find the solution of the initial value problem y" + 6y + 18y = 0, v (-) = 0, v (²) y(t) = = = 6. How…

A: The given initial value problem is y''+6y'+18y=0  with yπ2=0,  y'π2=6. At first we solve the…

Q: Using the trapezoidal rule with n = 5, approximate the integral L' TO S³ give the error of…

A: Trapezoidal rule formula: ∫abf(x) dx=h2(y0+yn)+2(y1+y2+...+yn-1) Given ∫03dx16+x2 Here f(x)=116+x2…

Q: Use a parameterization to find the flux SSF. S plane x+y+z=5a that lies above the square 0≤x≤a,…

A: We have to find the flux

Q: Verify the identity. 9 cos(sin ¹ x) = √81 - 81x² = 8 = x = . Thus, Let 8 = sin-¹ x = sin 8 = x 9…

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

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Q: Consider the following equations. f(x) = x5 + 3 g(x) = x + 3

A: Here we have to plot a graph.

Q: Compute the gradient of the following function and evaluate it at the given point P.…

A: Solve the following

Q: If a differentiable function f is decreasing on (a,b), then f'(x) < 0 for each x in (a,b). A) True B…

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: Understanding of critical point and inflection point is required in order to understand these kind…

Q: Suppose you use Newton's Method to approximate a solution for f(x)=x³-4 with an initial guess of Xo…

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Q: For the next two exercises, determine whether the integral converges or diverges. f 4 dt sint + √t 5…

A: For (5),…