Find the derivative of the function. f(x) = arcsec(4x) 4 f'(x) = 4√ 16x²2 - 1 or 1 x√ 16x² - 1 X

Q: Question 8 Find f'(a) for f(a) O f'(x) O f'(x) O f'(x) = O f'(x) O f'(x) cos - 1 cos? an cos - cos 2…

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

Q: Find the inverse Laplace transform 01 2 Ou44(1-4) usinh(t — 4) O sinh4(1-4) 0 1 u4cosh4(1-4) 01 4…

A: Given problem:- Find L-1e-4ss2-16

Q: Q1: Solve Ine +4-2= log10 100 for x b)x=0 a) x=1 c)x=(1,-1) Q2. If f(x)=x (2 Inx-3) Find f'(x) a)…

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Q: Identify the surface by completing the squares. A hyperboloid of one sheet. O An elliptic cone. O A…

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Q: Find the curvature K of the curve, where s is the arc length parameter. r(s) = (2+ s)i - j K= eBook

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Q: Convert the given exponential function to the form indicated. Round all coefficients to four…

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Q: Find the inverse Laplace transform of the given function. F(s) = 5e-2s s² - 25 Use uc (t) to denote…

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Q: Use the double angle formula to find the exact value of 2 cos² ETOO 1

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Q: is said to be the Laplace transform of 7, provided that the integral converges. (()). (Write your…

A: We have to find the laplace transform of given function.

Q: Find the Laplace transform of coshbt. Recall that coshbt = ebt + é 2 and sinhbt = ebt - é 2

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Q: Q11) T â

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Q: the open interval on which the function is increasing or decreasing. (Enter your answers using…

A: Topic:- function and application of derivatives

Q: Evaluate the line integral curve C: x = = 4 cost, y (5x + 7y)dx + (3x − 6y)dy along the = 8 sint (0…

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Q: Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f…

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Q: A manufacturer can produce 5130 cell phones when a dollars is spent on labor and y dollars is spent…

A: Topic- Implicit differentiation

Q: RO= {0, 125 P(C) Complete the integral(s) that defines L(f(t)}. L(((()) = 17, 0st 0) Date

A: Given:- ft=70≤t<50t>5 Find:- L{f(t)}

Q: Determine whether the Mean Value theorem can be applied to fon the closed interval [a, b]. (Select…

A: Please see the below picture for detailed solution.

Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

A: Given problem:- rt=13t+1i+1tj Determine interval(s) on which given vector valued function continuous…

Q: Define Q as the region bounded by the functions f(x) = and g(x)= x-1 in the first quadrant between y…

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Q: For the function f(x,y)=−5x2+2xy+3y2−x−5y+1f(x,y)=-5x2+2xy+3y2-x-5y+1, find a unit tangent vector to…

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Q: Consider the following function. f(x)=√x-4, x> 4 What is the domain of f? (Enter your answer using…

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Q: 5. Solve the differential equation O 2 (3ײ–1³ e3 о 2 3x2-1 +C (3x²-1) Ce3 O None of these 1…

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Q: Problem 3: Find the value or values of c that satisfy the equation the mean value theorem for…

A: To find the value or values of c that the equation fb-fab-a=f'c in the conclusion of the mean value…

Q: Use implicit differentiation to determine dy dy given the equation xy + csc(x) = cot(y). dx

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Q: Find the logistic equation that satisfies the initial condition. dy 11y y² (0, 44) dt 20 1440 Use…

A: The logistic equation that satisfies the initial condition. dydt=11y20-y21440, 0,44

Q: Let a and b denote two sides of a triangle and let 8 denote the included angle. Suppose that a, b,…

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Q: 1 rastr L²s² 2,2

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Q: 1) Evaluate the following expressions. 1) sin-1 COS 17 9

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Q: A car rental agency rents 480 cars per day at a rate of $20 per day. For each $1 increase in rate,…

A: Solution: Car rented =480 -10x rate =20+x

Q: 8. At the surface of the earth, g = 9.806 m/s2. Assume the earth to be a sphere of radius 6,371 km,…

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Q: Find the particular solution of the differential equation that satisfies the initial condition.…

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Q: 14. Find the double integral JV10-22-² dA by changing it to polar coordinates, where R is the region…

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Q: Use Theorem 7.1.1 to find {f(t)}. (Write your answer as a function of s.) f(t) = (3t-1)³ L{f(t)}

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Q: The population of a community is known to increase at a rate proportional to the number of people…

A: NOTE: Refresh your page if you can't see any equations. . the population growth function is given by…

Q: 3 (1 + 2x - 4x³) dx

A: The given integral is ∫131+2x-4x3dx

Q: Evaluate the line integral [(x + 7y)dx + (2x − 3y)dy along the curve C: x = 4 cost, y = 8 sint (0…

A: line integral

Q: Use Theorem 7.1.1 to find (f(t)). (Write your answer as a function of s.) f(t) = (t + 1)² 2(1(0)) =

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

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Q: A fence is to be built to enclose a rectangular area of 450 square feet. The fence along three sides…

A: Given problem:- A fence is to be built to enclose a rectangular area of 450 square feet. The fence…

Q: A point is moving along the graph of a given function such that dx/dt is 2 centimeters per second.…

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Q: A fence is to be built to enclose a rectangular area of 1800 square feet. The fence along three…

A: Solution of given question is written in below steps.

Q: lim, 0 6 tan² (5x) 15x²

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Q: 3) Let D be the region enclosed by the two paraboloids z = 4 + x² + y² and z = 10-x² - y². Then the…

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: Question 4 Which among the choices is not true about the continuity of f(x)? if x 1 -{₂ f(x) = x²,…

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

Q: Sketch the plane curve. r(t) = 2ti-tj, [0, 2] y 2 1 -1 y 2 1 Find its length over the given…

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Q: At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 21 knots and ship…

A: We have to find speed

Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

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Q: Find a formula for the nth term of the arithmetic sequence. 8₁ = -3, 85 21

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