Find the derivative of the functions f(c)=xsinh-1 8/3 √9+x²

Q: 6x g(x) = -5x8 + (a) | 19 (1) a (b) 1 g(a) (c) g(√a)

A: Given query is to perform indicated function operations.

Q: X = 8 At the end of your work, sketch the graph of 5 x²¹ 2. y 8x8 and 1. y = 3. The tangent line at…

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Q: b) For each of the following, let A and B be some sets, both subsets of universal set U = {x|x is an…

A: Please see the below picture for detailed solution.

Q: Let f(x) = √28 - 4x and g(x) = 4x² — 2. • You must combine all like terms before yo your answer. •…

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Q: Number 1: Given a first-order differential equation: /1 + x² dy − ydx = 0 A) Solve for the general…

A: Need to find out the solution of the differential equation.

Q: Sketch the level curve of the function z(x, y) = x² + y² for c = 81.

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Q: Find the tangent plane to the equation z = - 2x² + y² + 4y at the point (4, 4, 0). 2=

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Q: Differentiate y = ex+2 +9.

A: Given function is y=ex+2+9 We need to find the first derivative of the given function.

Q: Solve (ysinx + xycosx)dx + (xsinx + 1)dy = 0 Select one: O a xysinx+y=c O b. xsinx + y = cy O c.…

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Q: Let f(x) = 0 for x < 0 and f(x) =x3 for x ≥ 0. Match the following. Here DNE means does not exist.…

A: Givenf(x)=0,x&lt;0f(x)=x3,x≥0We need to findf'(0),f''(0),f'''(0)

Q: 4. Find if possible, the absolute max and absolute min. for. on [0₁4 > f(x)= x X-4

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Q: Suppose that an automobile's velocity starting from rest is v(t) = decimal place. O 3.3 ft/sec² O…

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Q: Let f(x) = 5x + 4 and g(x) = 1 x² 12x + 32 — • You must combine all like terms before you submit…

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Q: Find the derivative, y', of the function y = sinh(lnx) - cosh(lnx) O y = 0 O y = 1 Oy = 2/ 0 y =…

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Q: Compute the surface area of revolution of y S I 4x + 3 about the x-axis over the interval [0, 5].

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  the given interval…

Q: Find the area of the region bounded by the y-axis, the line x=3, and the functions f(x) = (x² - 3x +…

A: We have to find the area of the region bounded by the y-axis, the line x=3, and the functions…

Q: Problem 1 Given a first-order differential equation: √1 + x² dy - ydx = 0 a) What is the best…

A: We have to find the general solution and the particular solution of the given first order…

Q: Find Distance and Equations in R³ Find the distance in exact form between the point P(-4, — 2, 1)…

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Q: f(x) = e* (tan x - x - x²)

A: We can find the derivative using product rule in the below steps.

Q: Find the maximum value M of f(x, y) = x³y³ for x ≥ 0, y ≥ 0 on the line x + y = 2. (Use symbolic…

A: Given that fx,y=x5y3  ,x≥0,y≥0 To find : Maximum value on the line x+y=2Solution :we know that…

Q: h) R = 3qe 9

A: Given data:- The given expression is, R = 3qe-q

Q: 8 1. r = sin 20 2. r = cos 20 3. r = sin 40 4. r = cos 40 5. r = sin 30 6. rcos 30

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Q: For the function below, find a) the critical numbers, b) the open intervals where the function is…

A: A point x=a is said to be a critical point of f(x) iff f'(a)=0

Q: d. A cadet engineer determines that when x hundreds of units of a particular commodity are produced,…

A: Since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: Find Vectors and Perform Vector Operations in R³ Vector 7=(2, 0, − 1) has initial point (-9, 7, 3).…

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Q: Given the following first-order linear differential equation: dv 32 = dt V v-1. е a) Write the given…

A: Need to find out the general solution.

Q: Find the following using the table below. I f(x) 1 2 3 4 3 2 4 1 1 3 1 2 3 1 4 f'(x) 2 4 g(x) 4 3…

A: Given thatthe table To find :1. h'2 if hx=fx.gx2. h'2 if hx=fxgxSolution…

Q: ✓5. 4y³(x² +4) dx + 4xy¹ = (x² +4)² dx

A: Given differential equation:- 4y3x2+4dydx+4xy4=x2+42

Q: Find an equation of the tangent line to the curve at the point (1, 1). y In(xex*) y =

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Q: Understand Properties of the Cross Product Find the Vector Orthogonal to Two Given Vectors Need a…

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Q: A rectangular poster is to contain 162 square centimeters of print. The margins at the top and…

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Q: 12 -8 I 0 Challenge #6 4 Plot a parabola through the points. When you finish, press "Check My Work".…

A: We have to plot the parabola from the given points

Q: Find the second derivative of the function f(t)= t³sect. Of"(t)= t³sect(20+tsect+10ttant+ftan²t)…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Find the values of v such that g'(v) = 0. (Enter your answers as a comma-separated list. If an…

A: Given function  g(v) = v3 - 48v + 8

Q: Problem 2 Given the following differential equation: (y³+kxy4 - 2x)dx + (3xy2 + 20x² y³-ky)dy = 0 a)…

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Q: Concept Check: Evaluate the following integrals: e³x dx 1-2e³x 2. ·S₁ TENTIA

A: To evaluate the given integral.

Q: Find the inverse transform of the given function of s. = 6s - 49 s²-85+41

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Q: Set up iterated integrals for both orders of integration. Then evaluate the double integral using…

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Q: Consider the parabola given by the equation: f(x) = - 4x² - 6x + 7 Find the following for this…

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Q: In getting the derivative of a variable raised to a variable y = [f(x)](2), which of the following…

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Q: How much do the volume of a sphere change with respect to its diameter at the instant, and the…

A: Recall: Volume of sphere, V=43πr3

Q: A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German…

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Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

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Q: Question 26 Find the second derivative (y") of the given function: y = e² sin z *)(2(- sin x)) e²…

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Q: Given: y = 5 (cosh log )², find y' (cosh² O g = =|sinh 2 log = ]5 sh®log }} O 5 O ý =−}(m& )[sinh 2…

A: The objective of the question is determine the derivative of the given function and choose the…

Q: 5 Find the center and radius of the circle. Write the standard form of the equation. The center of…

A: We know that the centre is the mid point of diameter.

Q: 1 y=x2y = x, y = ४00 8

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Q: f(x) = 2 sinxtx 3 2x + 6x + 2

A: Topic:- application of derivatives

Q: Find the derivative

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