Find the exact value, if any, of the following composite function. Do not use a calculator. (-)] 16 tan tan

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A: Given that a manufacturer can produce 4320 cell phones when x dollars isspent on labor and y dollars…

Q: Find div F and curl F if F(x, y, z) = 6evi-3 cos y j + 4 sin² z k. div F= curl F=

A:

Q: 11. DETAILS ZILLDIFFEQMODAP11 7.2.043. Use the Laplace transform to solve the given initial-value…

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A: Topic = Algebra

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A: Given the query is to finding the integral.

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4x…

A: Here, the given curve is: y=4xcos-1(x-1)⇒dydx=ddx4xcos-1(x-1)⇒dydx=4ddxxcos-1(x-1) Using the product…

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Q: Evaluate the integral. Leave your answer in simplified exponential form. e²√₁ +4 √₁+ 4e* dx

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Q: Find the general solution of the given higher-order differential equation. y"" - 7y" + 8y' + 16y = 0…

A: Given the following differential equation:

Q: Find curl(5zi + 6xj + 3yk). curl (5zi + 6xj + 3yk) = (i )k )i + ( i )j + (i

A:

Q: Find curl curl (5z i + 6x j + 8y k) i 5 i i 6 (5z i + 6x j + 8y k). 8 = ( )i + ( )j + ( )k

A: Given that a vector 5z i^ + 6x j^ +8y k^ We have to find a curl of this given vector. Curl of a…

Q: y' = 4+t-y, y(0) = 1 (a) Find approximate values of the solution of the given initial value problem…

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Q: Find the average value of on the interval [1,12]. favg Now, find e such that ln(c) = favg. = 2.61 C…

A: Given the query is to find the average value of the function.

Q: Find the derivative of the function f. 3 √√x If your answer has a radical, express it as a rational…

A: solution:-f(x)=3xf'(x)=ddx3x        =3ddxx-1/2        =3-12x-12-1        =-32x-32         =-32x32…

Q: The graph of f is shown. Apply Rolle's Theorem and find all values of c such that f '(c) = 0 at some…

A: The graph of f is shown. To apply Rolle's Theorem and to find all values of c such that f'c=0 at…

Q: d the following for the given equation. r(t) = (et, 6t², 8 tan(t)) (a) r(t) = (b) r"(t) = (c) Find…

A: Topic:- application of derivatives

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: Sketch the space curve. Vector-Valued Function r(t) = -ti + 2tj + 6tk O 5 5 5 * * kk 5 Z Find its…

A: We have to sketch the vector and find the length of curve.

Q: 13. DETAILS ZILLDIFFEQMODAP11 4.2.001. The indicated function y(x) is a solution of the given…

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Q: If the Wronskian W of f and g is t²e⁹t, and if f(t) = t, find g(t). NOTE: Use c as an arbitrary…

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Q: dyx+2y 2x+y dx

A: We have to find the general solution of differential equation

Q: F(x,y)=4xy-x^3-2y^2 A. Find Fx and Fy SHOW ALL WORK B. Find all second order partial derivatives of…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

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 if possible a) 2 ∞ Σα η=4 n2+4n+3

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Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

A: The Domain of the function is the set of all possible input values for which function is defined.

Q: O Question 9 Find f'(a) if f(x) = arctan(In z). 1 z (1+x²) 1 a sec²(In 2) 1 1+ (In 2)² 1+ 1 ()* 1…

A: To find the derivative of given function.

Q: Find f"(x) for the function. f(x)=(7x^2-2)^6

A: Find f"(x) for the function. f(x)=(7x2-2)6  Derivative of y= (ax2 +b)n  y'= n(ax2 +b)n-1.(2ax)  And…

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Q: Determine whether the following series are convergent of divergent. If it is convergent, find its…

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Q: Question 19 Let F(x) -1. √1+t¹ dt for x in (-∞0, ∞o). Find F'(- 5 sin z O F'(x) = -√1 + cos²x O…

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Q: Answer true or false. If L{f(t)} = F(s) and L{g(t)} = G(s), then ¹{F(s) G(s)} = f(t)g(t). O True O…

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Q: A manufacturer can produce 4860 cell phones when a dollars is spent on labor and y dollars is spent…

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

Q: Which is (are) an implication(s) of the completeness property of R? (a) A nonempty bounded set of…

A: Completeness property of R:  If A⊂R has an upper bound, then it has a least upper bound.  If A⊂R has…

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A: Note:- according to the company policy we can attempt only three subparts of a question so please…

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A: As per the guideline, we can solve one question at a time in case of multiple questions. As you have…

Q: A tank contains 300 liters of fluid in which 10 grams of salt is dissolved. Brine containing 1 gram…

A: Given problem:- A tank contains 300 liters of fluid in which 10 grams of salt is dissolved. Brine…

Q: Boat A is traveling North with a speed of 10 miles per hour. Boat B is traveling Southeast with a…

A: The Solution is given below

Q: 3 -6 -4 사업 4 2 -2 19 6 ly 2 4 6 8

A: Given,

Q: 7. √x³ + 2x³-3x dx (x²+1)³

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Q: Find div F and curl F if F(x, y, z) = 7evi-4 cos yj+ 10 sin² z k. div F= curl F

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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: Find curl(5zi + 6xj + 3yk).

A: Our Aim is to find the curl 5z i^+6x j^ +3y k^-(i)

Q: Admission to a baseball game is $3.50 for general admission and $5.00 for reserved seats. The…

A: Admission to a baseball game is $3.50 for general admission and $5.00 for reserved seats. The…

Q: Determine the slope of the line tangent to y = √² - 3 at x = 2 In case you need help inputting your…

A: The objective of the question is determine the slope of the tangent to the given function.

Q: Find the general solution of the given second-order differential equation. 5y" + y = 0

A: To solve the given differential equation.

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: 3. dy= 2x+y dx x+2y

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Q: f(x) is continuous on (-∞,∞o). Use the given information to sketch the graph of f. f'(x) +++ 0…

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