Show that y=sec^2x and y=tan^2x have the same derivative. What can you say about y=sec^2x-cot^2x?

Q: 1 -1 √4-x Evaluate the improper integral: Sª₁ dx

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Q: Average Cost Jesaki Water Sports incurs the following costs in producing a water ski vests in one…

A: Here we have to use the concept of derivatives

Q: Write an equation for the transformed logarithm shown below, that passes through (-2,0) and -5-4-3-2…

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Q: Perform the matrix operation [1 2 7 1 -25 -4 +8[1 2] L6 0 14

A: Scalar multiplication of matrix and addition of matrices of same order are component wise…

Q: 4. [ x sinh xi [ xả

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Q: At 6 AM the temperature outside was -7 degrees. By 2 PM it had warmed up to 18 degrees. By how many…

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Q: Consider the following parametric equations. a. Eliminate the parameter to obtain an equation in x…

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Q: Find the optimal Solution of following transportation system formulated below by 1. Simplex method…

A: Let's solve by using simplex method.

Q: Given a function f(x). Suppose that Newton's interpolating polynomial P(x) of f(x) at the points…

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Q: Find the general solution of the given second-order differential equation y" 6y' +10y = 0 y(x) =

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Q: Find the absolute maximum and minimum values of the following function on the given region R.…

A: To find the absolute maximum and minimum.

Q: #10 M8 0=1 n² +8 a. Comparison test with 1.5 Shows the series diverges. n' b. limit comparison test…

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Q: Differentiate. f(x) = (x 2 - 2x + 4)ex O ex(x² + 2) O ex(x² + 4x + 2) 3 +x+4 O ex(2x - 2)

A: Given the function fx=x2-2x+4ex

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

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Q: 2. Given the following graph, determine the following: Domain y-intercept Equation of all asymptotes…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: Given plane is passing through the points (4,2,1) and (4,1,-6). Let A,B C are direction ratio of…

Q: Find the equations of the tangent lines to the graph of y=x²+6 that go through the point (0,-2) and…

A: Given problem:- Find the equations of the tangent lines to the graph of y = x2 +6 through the point…

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: We need to find differential operator.

Q: Solve the given initial-value problem. d²y dt² y(t) = 4d dt - 5y = 0, y(1) = 0, y'(1) = 4

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Q: The rectangular coordinates of a point are given. Plot the point. (1, 2) -3 O -3 -2 (r, 0) = -2 -1…

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Q: In 1960, the population of a town was 1313 thousand people. Over the course of the next 50 years,…

A: Let's find population in 2030.

Q: Find the area of the surface generated by revolving the curve about the given axis. (Round your…

A: Solve the following

Q: Consider the differential equation y" - 2y + 17y= 0; ex cos(4x), ex sin(4x), (-∞o, co). Verify that…

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Q: Find the area of the triangle ABC. A= 52.1° B=32.8° c = 24.1 m What is the area of the triangle? m…

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Q: Get the:  1. Revenue function  2. Demand function

A: To find out the revenue function and demand function by using the marginal revenue function.

Q: Find the first four nonzero terms in a power series expansion of the solution to the given initial…

A: Let's solve power series.

Q: The indicated function y(x) is a solution of the associated homogeneous equation. Use the method of…

A: The given equation is;  y''-3y'+2y=5e3x.

Q: If $500 is invested at 4% interest, compounded annually, then after n years the investment is worth…

A: We need to find out that after 6 years what will be the invested amount become.

Q: Find the exact length of the polar curve = 2 over the interv < T. Show your work. (No approximation…

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Q: Use vectors to find the lengths of the diagonals of the parallelogram j and i - 14j as adjacent…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous.…

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Q: The given family of functions is the general solution of the differential equation on the indicated…

A: A detailed solution is given below

Q: Determine any planes that are parallel or identical. (Select all that apply.) P₁: -90x + 120y + 60z…

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Q: 1. Simplify fully. Write each expression with positive exponents only: 6a -b √√-270x (2a 5-32 √9(x)⁰…

A: Follow the procedure given below.

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Evaluate Integrals 1 √ ₁ (2 + √5) √5 dy

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Q: Find the direction cosines and direction angles of the vector. (Give the direction angles correct to…

A: Solve the following

Q: Find the length of the curve. 1 10x3' y 6 + 1 ≤ x ≤4

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

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Q: Use the Divergence Test to determine whether the following series diverges or state that the test is…

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Q: Use cylindrical coordinates to evaluate the triple integral □ لاا √² + y²dV, where E is the solid…

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Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

A: The indicated function y1x is a solution of the given differential equation.By using the reduction…

Q: Σ 4(k!) ² (2k)*! K=( a. Converges completely because re? b. diverges because r=? C. ratio test is…

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

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Q: Solve the following ODES by Undetermined Coeff 11 4X y - 16 y = 19.2 € + 60e, y(a) = Y(u) -4X HO 4X…

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Q: 2 x ln((2x)²) dx 1

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Q: For the sequence, determine if the divergence test applies and either state that lim a does not…

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Q: or m tid 4x x² + 1 The percent of concentration of a certain drug in the bloodstream x hours after…

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Q: aren't

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Q: Solve the given initial-value problem. y(x) = 4y" - 4y' 3y = 0, y(0) = 1, y'(0) = 3

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