-1 Cosh-1 5x sinh 4x.

Q: 1. Find the Gradient of the following F = x*e" - y': b. F, = 4x - 3y + 5=? а.

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Q: Find the arc length of the parametric curve. x = e', y = et, z = v2t; 0<t< 10 L

A: I am attaching image so that you understand each and every step.

Q: 7. Given: y = 3 ; Find: dy/dt V16+tª -613 (16+t*) -2t3 (16+t*) (16+41) 글 (16+t*) ? (E) None of the…

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Q: The student's incorrect attempt we first calculate the anale at A, using the fact that all three…

A: Here, note that the triangle PDA is a right angle triangle.

Q: x +4 f(x) = x +2 s the set of all real number except and its range is the set of all numbers except…

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Q: to double? Us Find the inverse of f(x) = log, (3a + 1) +2 The

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Q: Evaluate the definite integral. e13' i+ e-j+tk )dt -1_ e13 – 1 (e-1 – 1) + 13 e13 1 + (e- – 1) j+ k…

A: We have to find the integral

Q: 7. A spherical balloon has a circumference of 25 cm. a.) What is the approximate surface area of the…

A: Surface Area of sphere=4πr2  volume of sphere=4/3πr3 According to guidelines we solve only first…

Q: The total world population is forecast to be P(t) = 0.00068t3 - 0.072t2 + 0.99t + 6.04 (0 s t s 10)…

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Q: A factory is dumping pollutants into a river at a rate given by dx/dt = 3/4/100 tons per week, where…

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Q: (20,400) on the function y = x². Find the ratio Ay/Ax for Suppose that we choose the point P = each…

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Q: Assume that x and y are both differentiable functions of t and are related by the equation…

A: topic - derivative of a function

Q: 0 100 1 1 0 0 0 0 Consider the following adjacency matrix: A = 0 0 1 2 |. Which of 0 0 1 0 1 1 0 1 1…

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Q: d d Calculate r (t) · r2(t)] and r (t) x r3(t)] first by differentiating [ri(t) x r2(t)] first by…

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Q: What is the area of the region between the graps y = x – 1 and line y = -x – 1

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Q: -5 5 10 -10 15

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Q: For a certain automobile, M(x) = - .015x+1.25x-7.5, 30 sxs 60, represents the miles per gallon…

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

Q: The population P(t) of a town increases as the equation P(t) = Poe0.24 If P(2) = 2323, what is the…

A: The objective of the question is evaluate the initial population and choose the correct option.

Q: Given that x and y are functions of time, find the indicated rate of change. dx when y = 3 and dt dy…

A: Note: sorry for unconvince. As per our guidelines we should solve only 1st question. So please…

Q: Find the maximum and minimum values of x + y subject to the constraint x - 10x +y - 8y = 0. What is…

A: x2+y2 subject to the constraints x2-10x+y2-8y=0

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: The given function is: h(p)=p-1p2+2 To find the derivative of the function using the quotient rule:…

Q: (a) Find f,(1, 4) and f,(1, 4). ,(1, 4) = (1, 4) =

A: By our policy we are allowed to solve one question at a time and maximum three subpart. So here I am…

Q: 2. ) If a = 3i, b = i+j, c= i – 2j then: a) Find a + b + c in in i, j form. b) Find b + 2c in i, j…

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Q: Evaluate the following limit and show the complete solution

A: Given limit is in the form of 0/0

Q: 1. Find an equation of the tangent line to the curve at the given point. (a) y = In(x? – 3x + 1) at…

A: Since you have posted multiple questions i can do first question (both subparts) as per our company…

Q: Find all solutions to the equation cosx cos(3x)- sinx sin(3x) = 0 on the interval [0,27]. %3D O A. x…

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Q: V. In each of the following, find the arc length of the curve traced out by the endpoint of the…

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Q: For each problem, find the volume of the solid that results when the region enclosed by the curves…

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Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

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Q: Given the function f(x,v) = *ye6-sin²x e cos?x The second derivative f, of f is equal to 0. Select…

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Q: Compute the following limit. If the limit goes to ∞ or -o enter INFINITY or -INFINITY, respectively.…

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Q: Find the solution. y'+=V5.y(1) = 0

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Q: valuate the limit 8x2 – 9x – 9 lim x→-o 7 – 7x – 10x2 E the limit does not exist enter DNE. imit =

A: We have to find limit

Q: Suppose that the supply of a product is given by p = 15+7 In (4q + 1), where p is the price per unit…

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Q: 5. Given vectors å = (2,5, –5) and b = 21 - 7j + 3k a) Find å + b and write the answer in the…

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Q: Find the second-order partial derivatives of the function. Show that the mixed partial derivatives…

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Q: A rancher wants to fence in an area of 2,000,000 square feet in a rectangular field and then divide…

A: see below the answer and calculation

Q: Use spherical coordinates. Find the volume of the part of the ball p s 4 that lies between the cones…

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Q: dy Find by implicit differentiation. 20x = 20 - ey ... dx (Type an exact answer.)

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Q: 4 Find lim cos C→十0 Enter I for o, -I for –∞, and DNE if the limit does not exist. Answer:

A: Topic = Limits

Q: cos x dx

A: topic - integration by parts

Q: Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine…

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Q: Find the radius and interval of convergence

A: Find the radius and interval of convergence

Q: Suppose f(x, y) = x² + y? + x?y+ 2 and D = {(x, y) : |x| < 1, |y| < 1}.

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Q: Let y(x)=1/x+3 Estimate the slope of the tangent line of y(x) at the point x=1.

A: Given query is to find the slope of the tangent.

Q: Antiderivatives of Algebraic Functions Find the antiderivatives of the following.(Excercises)

A: Since this is a multiple subpart question, according to the Bartleby answering rule, only first…

Q: Consider the model of Newton's law of cooling and warming given by: dT 40 -T T(0) = To. dt 4. The…

A: This question can be solved using the concept of solution of differential equation.

Q: 3. Let f(x) = 1+x + x² + x° +x* + x°. %3D Find T3(x), the Taylor polynomial of f at r = 0 with…

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Q: 2. Find the absolute maximum and minimum values of the function f (x) = - on the closed interval -2…

A: We need to find absolute max and min value in given interval.

Q: у" - у' - бу %3 exp(-x) - 7 сosx

A: answer is in next step