How can I find tan inverse of 3/2 or any number larger than 1 without a calculator?

Q: The function f(x) = x² + 1 is Bijection from R to R

A: This is a question from the function.

Q: 1. A function f is defined by 1 2 = + 3 4 f(x)= x + 3 32 33 34 for all in the interval of…

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Q: Show that sin(x)  can be approximated by x-x3/6  within 0.01 on the interval [-1,1].

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Q: find for y dy dx x sinx (x-1) (x²+1) Evaluate f(u² + 2u + 3)7 (u + 1)du

A: To find the derivative of a composite function and the integration by substitution method.

Q: 3. y' + (tan t)y = sin t, y(t) = 0

A: Sol

Q: Find the given determinant by any method. 0000 -7 0001 0 0 0 1 0 0 0 20 0

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Q: 1. If R is the region in the first quadrant bounded by x-axis, 3x + y = 6 and y evaluate 3x, Jf 3y…

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Q: f(x csc² 6x - x cos 6x)dx

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Q: Use modular arithmetic to determine the following:  Disregarding a.m or p.m., if it is now 9…

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Q: 3. The quantity demanded for the Sony VCR model 37 is 2500 per week when the unit price is $700. For…

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Q: 5. Given that G(x, y) = (x² + 1, y²) and F(u, v) = (u + v, v²), compute the Jacobian derivative…

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Q: Find the inverse Laplace transform of s+1 F (s) = s²-6s+5

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Q: Yn+2 -6yn+1 + 8y = 3n²+2-5.3n Solve the following using Z-Transform, when y(0)=0 and y(1)=1.

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Q: Example Determine the green times allocation using v/c equalization. Assume the extension of…

A: Given , extension of effective green time= 2 seconds            startup lost time = 2 seconds…

Q: Prove: A bipartite graph with an odd number of vertices does NOT have a Hamilton Circuit.

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Q: 3. Solve, showing details: y₁ = 4y2 + 5et y2 -V1-20e-t yı(0) = 1, y2(0) = 0

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Q: Find the upper Riemann sum U(f, P) and the lower Riemann sum L(f, P) for each of the following…

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Q: In this set of exercises, H always denotes a Hilbert space. 1 If M is a closed subspace of H, prove…

A: Given: M is a closed subspace of a Hilbert space H.   To prove: M=M⊥⊥   To determine: If there is a…

Q: = Find the mass of lamina enclosed by y = ax² and y = c if the density of lamina d = xy a=2 c=2 show…

A: Mass of a lamina is given by M=∫∫A δ dAhere δ is the density function.

Q: Consider the following subsets of real plane R² A = {(0,y): ≤ y ≤ 1} B = {(x, y): 0 ≤ x ≤ 1, y =…

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Q: 3. An amusement park is planning a new roller coaster. Part of it is to have the shape of the cosine…

A: We need to use given data to sketch the graph . Use relation between degree and radian to get angles…

Q: ` Use the Divergence Theorem to calculate the surface integral F-dS, where F = (2x, 3y, 0 S and S is…

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Q: Set up the integrals for the mass and center of mass of the tetrahedron bounded by 2x + y + 4z = 4…

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Q: 1- Find all the second-order partial derivatives of the function: s(x, y) = tan-¹(x)

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Q: Find the value of b for which the differential equation (ye¹0xy + x) dx + (bxe¹0xy) dy = 0 is exact,…

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Q: Solve the lima 21 following √x³x²-√2x x2-11x+18

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Q: Example 3: Find the parametric and symmetric of the line passing through the point (-3, 5, 4) and…

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Q: 4 3 3 Let A = -1 1 0 4 4 5 Use determinants to decide whether the matrix is invertible. Enter the…

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Q: . A 230 V generator supplies three phase power to a balanced load at rated current of 18 A and power…

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Q: Example 8: Find the point where the line x = 1 + t, y = 2t, and z= -3t intersects the plane…

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Q: Dependence of Solutions on Initial Conditions. In each of Problems 15 through 18, solve the given…

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Q: Let a and b be natural numbers and define d = gcd(a, b). Prove that alb iff d = a. For all sets A,…

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Q: Consider the equation -u" + qu 0 and suppose qo ≤ = q(x) ≤ 9₁ < 0. Show that for two consecutive…

A: The solution is hand written as requested:

Q: 2. Given F(x, y) = (4x³y² - 2xy³)i + (2x¹y − 3x²y² + 4y³)j is a - conservative vector field. a. Find…

A: To find the potential function for the given conservative vector field :-

Q: 1 : Prove that the function f(x,x)= defined on the domain , is a convex function. For this purpose,…

A: Here we find  determinant of the hessian matrix. Which is positive on its Domain.

Q: Cameron tosses up a ball. Its height above the ground after being tossed is given by the equation…

A: The quadratic function f(x)=ax2+bx+c represents a parabola. The vertex form of the quadratic…

Q: Solve the following x²-x²-√√2x lime-21 x²-11x+18

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Q: Solve, showing details: y₁ = 4y2 + 5e² = -V1-20e-t y1(0) = 1, y2(0) = 0 ܕܐ

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Q: EXERCISE 2.2 Derive the expression of the Bezier curve for the four points Po = ( = (0, 0, 0), P₁ =…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Evaluate the determinant of the given matrix by reducing the matrix to row-echelon form. 4 -8 12 A =…

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Q: Find the derivative of the following function by first expanding the expression. f(x) = (6x + 1)…

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Q: Q5) Minimize f(x) = (10x³ + 3x² + x + 5)²; using swann's method. Start with x,-3 and step size |A| =…

A: We know that Swann's method iteration formula is  xn+1=xn+2nh where h is step size Condition for…

Q: For items 8, 9, and 10, consider the region bounded by y = e+1, y = 1, and y-axis. -05 04 9. Using…

A: The volume of the solid revolved around y-axis a region between the curve x=f(y) and x=g(y) where,…

Q: Show that the differential equation x³y² + x(1+yº)y'′ = 0 is not exact, but becomes exact when…

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Q: Prove that sin²x x cos²x = csc²x-cot²x 4csc²2x

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Q: A sales representative's orders for May were 16 % less than her April orders, 3 which amounted to…

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Q: Infinite ransforms: 21. If Fourier transform of f(x) is F(o), prove that the Fourier transform of…

A: Fourier transform of the function

Q: Calculate the simple intrest for $2400 borrowed for 2 years at 4% per annum

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Q: xa - 1 Prove that the function f(x) = α concave function. For this purpose, compute the Hessian…

A: Please check the answer innext step

Q: Find the upper Riemann sum U(f, P) and the lower Riemann sum L(f, P) for each of the following…

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