Solve r-t cos x+p tan x = 0, %3D

Q: A) If T (,) = (,) and T () = (;). -2. Find T)

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Q: Check if the following function is one to one or onto (Show your work). z+4 f: R-{2} → R and f(x) =…

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Q: y" +y' – 2y = 4e* – 2x

A: We have the given differential equation is y''+y'-2y=4e-x-2x2     …..(1) The auxiliary equation for…

Q: y" - 6y' + qy 2,

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Q: Solve the equation using Lagrange's method: 2x² –15x+18=0 |

A: Given the quadratic eequation:      2x2-15x+18=0 Solve it using Lagrange's method.

Q: A skydiver equipped with parachute and other essential equipment falls from rest toward the earth.…

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Q: 4. If f'(x) = 12x² + 6x −4, f(0) = 4 and f(1) = 1, find f(x) Ans f(x) = x² + x³ - 2x²-3x+4

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Q: 2. Given y' = 2xy, y(1) = 1. Use Euler's Method to obtain a four-decimal approximation of y(1.5).…

A: Given that y’ = 2 x y and y (1) = 1 with the step length h =0.05   The Euler method is given as:…

Q: 7. Find the equation of the plane passing through the points (1, 1, 2), (3, –1,6) and (5, 2,0).

A: To find the equation of the plane passing through the given points

Q: 1. Find the equation of the curve having slope 2x-5 and passing through (5, 4). Ans. y = x² - 5x + 4

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Q: Use Newton method to find a root in each of the following functions: f(xn) f'(xn) (1) f(x) = tan x -…

A: We are given the function ,  Our aim is to find the root of given function using Newton Raphson…

Q: e(1+4 sin x) cos x dx

A: Consider : ∫e1+4sin xcos x dx. Evaluate the integral: Let 1+4sin x = u implies 4cos x dx=du, that is…

Q: What is the most ideal first step to be done here to eliminate the arbitrary constant/s? * 3X 4. -xy…

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Q: Smplify (gizi) (i 131)(5+41)

A: First we will find the multiplication of two factors. Then multiple the result by rest factor. Here…

Q: Let F=c [o,i] |||= |} g(x) = xsh(x)=x², Is H. strictly conuex? Explan y our answer.

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Q: Securt/tamun Solve for x.

A: Secant Tangent Theorem A tangent segment and a secant segment are drawn to a circle from an exterior…

Q: 6. (8x³ − 6x² + 12x − 9)dx (x²-1)³ √x 8. [ V4 – x2 xdx 10 9. § (2x³ + 5)¹⁰ x² dx 7. S - dx

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Q: Find the length of the longest straight line that lies entirely within the surface: This will from…

A: (d) To find: The length of the longest straight line that lies entirely within the surface. Given…

Q: 6. For the vectors i and i given in problem 1, verify using the dot product that your answer for…

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Q: Vx + 32 - 5 Limit. lim x--7 X + 7 O 0.1 O Does Not Exist (DNE or tco) O 10 O 1.4 O 5

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Q: Let L be a lower triangular, nxM matrin & A=LL", Assume the eigen vector matrix of A can be written…

A: To find the singular value decomposition (SVD) of matrix A in terms of the eigenvector matrix S and…

Q: (d) sin (x )+tan dx – In +y = 0

A: We have to solve given problem:

Q: OBTAIN THE GENERAL SOLUTION USING THE APPROPRIATE METHOD ALWAYS INDICATE THIE METHOD YOU HAVE USED

A: Given ODE xdy-y+xy31+lnxdx=0 which can be written as  dydx=yx+y31+lnx

Q: If dy = (2x - 3) dx and y = 2 when x = 3, find the value of y when x=5. Ans. y = 12

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Q: Mayati's solution

A: Given:

Q: If f(z) dr = 2 and I f(z) dr = -3, then (3f (x) + 2) da = %3D

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Q: dy - ¿°cax-4) .y(5) - D dx

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Q: Q3: Consider the initial value problem. dy d²y dy dt? + 0.25y = 0 dt (0) = b. dt y(0) = 2, %3D %3D…

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Q: Find the angle between the lines y-V3x-5=0 and 3y-x+6=0.

A: Introduction :