average rates of change

Q: Determine all the eigenvalues of the matrix G given below. Hence, obtain an eigenvector…

A: The understanding of Eigen value and Eigen vectors are required to solve these kinds of problems.

Q: The derivative of y = -ln(cos(ex + 1)) is

A: Our Aim is to find the derivative of y=- ln cos ex+1 -(i)

Q: waluate the following integral. 2 3x dx (16+x²)²

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Q: A linear function is given. A(r) = − 2/3 r − 6 (a) Sketch the graph.   (b) Find the slope of the…

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Q: 5. Determine the minimum and maximum values for y = 250(0.90)* for 0 ≤ x ≤ 6.

A: Given data y=2500.90x   To find maxima and minima we need to find critical points by equating dydx=0…

Q: Find the radius of convergence, R, of the series. R = 00 Σ n = 1 I = 1 3 5 xn ..... (2n-1) Find the…

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Q: For the graph below, identify a restricted domain for which the function has an inverse that is also…

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Q: Suppose that f(x) = /'(-2)- - f'(1) = 6x + 16 X Evaluate each of the following:

A: we have to find derivative at a point

Q: Find the radius of convergence, R, of the series. (x - 10)" n R = 10 ∞ n = 1 I = Find the interval,…

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Q: Using an appropriate substitution, the integral Jez-tan is equal to 2-tan sec²0 de O none of the…

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z)=√√√x² + y² + z² (8,…

A: Our Aim is to find the gradient of the function at the given pointwhere Function is…

Q: A one-lane highway runs through a tunnel in the shape of one-half a sine curve cycle. The opening is…

A: Given :- The shape of the tunnel = One-half sine curve cycle The height of the road at its highest…

Q: Consider the following function. f(x) = 1 |x - 51 (a) Find the critical numbers of f. (Enter your…

A: You must have idea how to find critical point of any function. By using those value you need to find…

Q: Using an appropriate substitution, the integral x³ csc²(x¹) cot(x4) is equal to -dx

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Q: If f(x) = etan-¹(x²-3) then f'(x) at x = 2 is equal to

A: SOLUTION-

Q: dx 2+2 sinx + cos x

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Q: 2.) Sketch the region in the plane consisting of all points whose polar coordinates (r, 0) satisfy…

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Q: Identify three cases for a function NOT to be differentiable at a. Explain why each case fails the…

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Q: Given the system of linear equations below, determine the value of a, b, and c using CRAMER'S RULE

A: The solution is given below

Q: INFORMATION NEEDED TO ANSWER THE QUESTION IS BELOW, AND THE QUESTION IS AT THE END. THANK YOU! Gas =…

A: We Will Get Equilibrium Point When Quantity Demanded Is Equals To Quantity Supplied. Mid Point Of…

Q: Verify the identity. 9 cos(sin ¹ x) = √81 - 81x² = 8 = x = . Thus, Let 8 = sin-¹ x = sin 8 = x 9…

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Q: n√In(4n) n=7 O convergent divergent

A: Divergent. Test used is integral test.  If integral of the terms of the series is convergent then…

Q: Verify the identity algebraically. Use a graphing utility to check your result graphically.…

A: Here, to simplify the expression: 7cos3(t)csc(t)

Q: 1 1 - = - U 1 Given that u = 1-2i and v= -2+ i, find z such that Give V your answer in the form of a…

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Q: 24 dx (144x²+1) Evaluate S- 2

A: Here we have to find the integral.

Q: x'+z=et; x(0) = 1

A: Take z as constant

Q: -u (w) = 3/w + πT (1) jw [{Br_mn]}x+(®on+m]x] } 2²2 ↑ 5

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Q: 1) Evalúe a) csch (In 3) b) cosh (0)

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Q: f(x) lim sin(5x) X I 0 -0.25 3 2 Estimate the limit numerically or state that the limit does not…

A: We have to find out limit

Q: Find the differential dy of the given function. y = x arcsin 3x dy = Submit Answer intel DETAILS…

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Q: Use L'Hopital's Rule to evaluate a) lim XXX b) lim X-2 2x e 4x 2x²-5x+2 5x²-7X-6 2

A: Let f(x) and g(x) are two continuously differential function at point 'c'. Then,…

Q: - 1)n (n + 1)!) 3n!

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Q: Find the solution of the given initial value problem. 3y""+66y'-1044y = 0; y(0) 11, y'(0) = 57,…

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Q: The general solution of xy' = -x3³y-csc (xy) is A B C D 2x²cos (xy)+1=cx² -2xcos (xy)² + 1 = cx²…

A: Please see the below picture for detailed solution.

Q: Find two positive numbers satisfying the given requirements. The product is 1200 and the sum of the…

A: To find the two positive number.

Q: For the equation given below, evaluate y at the point y - 6x² + 24 = 0.

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Q: Find the radius of convergence, R, of the series. (x - 10)" n n = 1 R = 10 Find the interval, I, of…

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Q: 9. S coslnxdx X

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Q: (a) What is the radius of convergence of a power series? How do you find it?

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Q: Evaluate the iterated integral below. П | 1 S. * S'y cas (x) dy Só 0 0 dx

A: While doing multiple integrals, consider everything constant except the integrand variable.

Q: Using the trapezoidal rule with n = 5, approximate the integral L' TO S³ give the error of…

A: Trapezoidal rule formula: ∫abf(x) dx=h2(y0+yn)+2(y1+y2+...+yn-1) Given ∫03dx16+x2 Here f(x)=116+x2…

Q: Write a polar equation in rand of an ellipse with the focus at the origin, with the 8 eccentricity…

A: A polar equation  of the form r=ed1±e cosθ, r=ed1±e sin θ represents a conic with eccentricity e…

Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of…

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Q: Find a potential function f for the field F. F = (2y+z)i + (2x + 5z)j + (x + 5y)k A general…

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Q: Solve and check the linear equation. 6x+1=31

A: NOTE: Refresh your page if you can't see any equations. . subtract 1 from both sides divide both…

Q: f Ine2x dx

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Q: (+²+ 2) y² - 4 ty=4t, y(0) = 3

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Q: Use a parameterization to find the flux SSF. S plane x+y+z=5a that lies above the square 0≤x≤a,…

A: We have to find the flux

Q: Find the area of the region between the curve y = 1/1 + x^2 , 0 ≤x ≤√3, and the x-axis.

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Q: foo 0 dx e²x

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