A value of sinh x or cosh x is given. Use the definitions and the identity cosh²x - sinh²x = 1 to find the value of the other indicated hyperbolic function. 12 sinh x = - -, csch x = 5

Q: Consider g(y) = - 12y(-7- y) Determine the intervals on which g is concave down. g is concave down…

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A: To form differential equation

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A: The given equation x2x+y=y2+5 We have to find dydx by using implicit differentiation.

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A: The given function fx=9x2+x3+20+24x We have to find the absolute maximum and absolute minimum values…

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Q: Find the angle between the vectors in radians and in degrees. (Round your answer for part (a) to…

A: Topic = Vector

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Q: For the demand equation, use implicit differentiation to find dx p² + p + 9x = 120

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Q: x+2 find the absolute maximun and absolute minimur value of the following continuous function on the…

A: To find out the absolute maximum or minimum.

Q: #Solve the following IVP x= x+y y = -6x+6y y(0)=18 Then find x(0.25) to at least the nearest…

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Q: Sketch the graph of the function below, including correct signs, x-intercepts and y- intercepts.…

A: Here we have to plot a graph.

Q: 26. y'"-8y +16y = 6xe4x + 2 + 16x + 16x²

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Q: b.) If r(x)= 1 √g(2x) > find r'(x) at x = 2

A: Topic = Derivative

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A: To convert the given parametric equation to Cartesian form.

Q: Find √√√³ J₁ 3 d.A over the region R = {(x, y) | 0 ≤ x ≤ 5,0 ≤ y ≤ 6} by identifying it as the…

A: Please see the below picture for detailed solution.

Q: equation, find dy/dx evaluated at the given values. y²-x5= = -7 at x = 2, y = 5

A: Topic:- application of derivatives

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

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Q: Let f(x) = x³ + 6x² (a) Use the definition of a derivative or the derivative rules to find ƒ'(x) =…

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Q: 2. A thermometer reading 18°F is brought into a room, the temperature of which is 70°F. One minute…

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Q: Convert the Cartesian equation to Parametric

A: The answer is in step2.

Q: . Use the rule of differentiation of the scalar product, to evaluate (u v) for the following vector…

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Q: (1 point) Consider the following function, f(x), on the interval [5, 9]. Absolute Maximum 1. Find…

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Q: Evaluate the line integral along the given path. √(x² + y² +2²) ds C: r(t) = sin(t)i + cos(t)j + 3k…

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Q: Work xx 0x28 28x² 0x³ 7 8 x56 Ox15

A: The given problem is solved below in detail.

Q: Find[r(t) u(t)] and[r(t) xu(t)] in two different ways. r(t) = cos ti + sin tj + tk, u(t)=j + tk (a)…

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Q: Evaluate 112 (2x - y) dx + (x + 8y) dy. C: x-axis from x = 0 to x = 2

A: To evaluate the given line integral

Q: below

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Q: Find the derivative of the function y = -7-5x. dx =

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Q: Consider the integral 2 [²-10z² ln(z) dz If the integral is divergent, type an upper-case "D".…

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Q: Find the orthogonal trajectory for the family of straight lines passing through the point (1,1).…

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Q: Suppose that f(x) = 15x - 8 In(x), x > 0. (If an answer does not exist, enter DNE.) (a) Find all…

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Q: Find the work done by the force F = 9xy i+ 12y²j acting along the piecewise-smooth curve consisting…

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Q: Suppose the derivative of the function y=f(x) is y'=(x-4)²(x-2). At what points, if any, does the…

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Q: Solve the corresponding differential equation given the general solution via elimination of…

A: need to find out the correct differential equation.

Q: 4 Suppose that f'(x) = 2x for all x a) Find f(5) if f(0) = 0. b) Find f(5) if f(4) = 14. c) Find…

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Q: For problems 3-5 A math camp wants to hire counselors and aides to fill its staffing needs at…

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Q: log3x=log3(x2-2)

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Q: Find the volume of the region below the surface z = 4x+6y over the rectangle R = [1, 4] ×[2, 3].

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Q: Find an equation of the plane with point P (2, -1, 3) and containing the line L: x-3 y+4 z-5 -6 10 =…

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Q: Second Derivative Test 1. Find the first derivative of the function g(x) 6x³ +54x² + 144x. 5. Is the…

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Q: If z = x² - xy + 8y2 and (x, y) changes from (2, -1) to (2.03, -0.95), compare the values of Az and…

A: We can evaluate dz by using the following formula dz = z x dx + z y dy

Q: 6. The series 겨 8. (a) Converges absolutely (c) Diverges (b) Converges conditionally

A: To find the convergence of the given series.