What is the period of the function f (x) = 3 cos 6x O T 3 O O O 6T 07/12 O 7/3

Q: dy dx (sin(x))(a). Show all your work. Find where y = (sin(x))In(x)

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Q: 1. Find the second order Taylor polynomial for the function f(x, y) = = sin x + sin 2y at the point…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 3. Find the equilibrium point for the demand and supply functions for the Ultra-Fine coffee maker.…

A: Solution is given below:

Q: Find the differential of the function f(x, y) = 2xe³y at the point (5, 3) using Ax = -0.2 and…

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Q: Let f(x)=3e^x+4+e^−4 f′(0)=

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Q: The volume V of a right circular cylinder is given by V = r² h, where r is the radius and h is the…

A: Sol:- To find the rate of change of V with respect to r, we need to take the derivative of V with…

Q: Take a standard 8.5 in. by 11 in. page of paper. You're going to cut square corners of equal size…

A: According to question,We have,Dimension of paper : 8.5 in. × 11 in.

Q: First make a substitution and then use integration by parts to evaluate the integral. (Use C for the…

A: I = ∫ x ln (3+x) dxLet  3 + x = u       dx  = duand,          x = u - 3

Q: When I checked it says the answer is

A: The solution is given below :

Q: The following table shows education expenditure in the United States as a percentage of total…

A: The given data is: Year t (since 2000) 9 15 19 Percentage P(t) 25 27 26

Q: Let Find the average value of the function on the indicated interval f(x) = |x|, C1 *E[-3,3]. fav…

A: The given function is: fx=x, x∈-3,3 To find the average value of the function on the indicated…

Q: 1. y'=x+y on -3≤x

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Q: Solve the equation dy-5y-te'y = 0, y (1) = 1. Let y be the solution of the initial value problem.…

A: Given differential equation:- tdydt-5y-t163ety13=0

Q: Find the derivative. y = 9~x O A.dy dx OB. dy 기 dx OC. dy 경기 경기 dx OD. dy dx =g-x = - gx = In9(9-x)…

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Q: Find the linearization L(x) of f(x) at x = a. 2 f(x)=√√x+11, a = -5 L(x) =

A: The given function is: fx=x2+11, a=-5 Find the linearization Lx of fx at x=a

Q: Solve the following for x. Give an exact answer using the log function. 3x 3. (532-6) = 27 X =

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Q: 82n n!

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Q: The cost to produce a certain product depends on 3 main variables, denoted p, q, and r. If C(p, q,…

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Q: Find f(g(x)] and g[f(x)]. f(x) = 5x +9; g(x) = 4x-7 OA. f[g(x)]=20x+26 g[f(x)]=20x-29 OB.…

A: f(x)=5x+9g(x)=4x-7(i) f[g(x)], put x=4x-7 in f(x)

Q: Find the length of the curve. I r(t) = (5t, 3 cos(t), 3 sin(t)), -2 ≤ t ≤ 2

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. [+√41² t√4t²…

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer.…

A: We have given given to find integral  Let,  I=∫6x+2exdx I=∫6xdx+∫2exdx I=6∫1xdx+2∫exdx I=6lnx+2ex+C…

Q: B) f(x)=x-x² [-5,1]

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Q: For any vector Answer: A - = n m find the matrix A so that Ax = 白 m

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Q: Find the critical points, domain endpoints, and local extreme values for the function. y=x₁/36-x² 2

A: The solution is given below :

Q: Differentiate. f(x) = In |In (3x) f'(x) =

A: According to question,Given Function,fx = lnln3x

Q: 3. What is the exact value of the trigonometric expression? 2π tan - sec(-π) 7π 4 State your answer…

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. 6 S[$/…

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Q: A fried chicken franchise finds that the demand equation for its new roast chicken product, "Roasted…

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Q: Calculate the average rate of change of the given function over the given interval. Where…

A: The given data is: t (months) 2 4 6 R(t)($ millions) 20.7 24.6 19.6 Find the average rate of…

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. [x(3 +…

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Q: 3. What is the exact value of the trigonometric expression? 2π 3 7π 4 tan sin - sec (-7)

A: Given tan( -2π3 )sin( 7π4 )- sec( -π )

Q: A military plane is flying directly toward an air traffic control tower, maintaining an altitude of…

A: Given: A military plane is flying directly toward an air traffic control tower, maintaining and…

Q: Suppose the nth partial sum of a series is Sn a1 an II 11 00 Σ n = 1 an 7η – 28 n+ 4 Σ an= n = 1 80…

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Q: 4. The fish population, p, in a lake can be modelled by the function p(t) = 15(t² +30) (t + 8),…

A: p(t)=15(t2+30)(t+8)rate of change of fish population is d dt(p(t))d dt(tn)=ntn-1

Q: 7. Use the definition of the limit of a function to show that if lim f(x) = a and lim g(x) = b, x→x0…

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Q: 4. Find the critical points of the function f(x, y) = 2x² - y² +3. Does the function attain maxima…

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Q: 4. Explain the steps to find the derivative of the given function using the first principles y = √√x…

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Q: Evaluate the following integrals. 1. • Lox²+2x+5dx

A: Note:- Since you asked multiple questions, as per our policy we can solve first question for you ,…

Q: 5. A boat travels on a course of bearing N 37° 10' W for 79.5 miles. How many miles north and how…

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Q: At what point on the graph of y = (1/2)x2 is its tangent line parallel to line 2x-4y=3?

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Q: Solve the DE. (Homogeneous DE) 1. [xcos2(y/x) - y]dx + xdy = 0

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Q: Differentiate. y = In |4x² - 7x|

A: solution:-y=ln4x2-7xdydx=ddxln4x2-7x       =14x2-7xddx4x2-7x      {chain rule}      =8x-74x2-7x

Q: a. How fast is the boat approachir ft/sec Tyne an integer or a simplified fra

A: . here we have y=9 ft (height of the ring at edge f dock) z=15 ft (length of the rope) z'=1 ft/s…

Q: Find the domain of vector r(t) and find the limit as t goes to 0 of vector r(t)

A: According to question,Given vector,rt = 2-t, et-1t, lnt+1

Q: 7. Use the graphs of the function below to determine the domain and range of the function and the…

A: Please see the below answer.

Q: Find the limit as t approaches 0 for t+2/t^2

A: Given limit is limt→0t+2t2

Q: n #5: Express the parametric curve x-y-+7 in the Cartesian form y = f(x). Enter the function f(x)…

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Q: 4. If z = = ln(xy) and дz x=rsin 0, y = r cos then show that ae = 2 cot 20.

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Q: Explain why the columns of an n x n matrix are linearly independent when the matrix is invertible.…

A: Solution: To prove that the columns of an n x n matrix are linearly independent when the matrix is…