A. Evaluate the following integrals: S tan'x dx 3 1. 4 2. csc* xdx 3. |tan 3x sec 3xdx 4. ſcot'x csc*xdx x csc™xdx

Q: 4. Let f(x) = { x/² sin ; (x+ 0) 0; (x = 0) i Calculate f'(0) using the definition. Hint see…

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Q: B. Two coins are tossed and a ball is drawn from a bag containing a yellow and a red ball a. If L is…

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Q: A pound of creamer potatoes contains 11 small potatoes. They are purchased in 50-pound bags for…

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Q: Evaluate the triple integral. 10x dV, where E is bounded by the paraboloid x = 5y2+ 5z2 and the…

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Q: Find the solution. dy 2y + - :=x?y?sinx dx

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Q: Find the equation of the line passing through the points A(2,3) and B(-7,4) O a. 9y+x-29=0 O b.…

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Q: Use a graph or level curves to find the local maximum and minimum values and saddle point(s) of the…

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Q: Let V be a non-empty set equipped with two operations named addition and scalar multiplication.…

A: The given set W will be a vector space if it satisfies the given 10 axioms. Let (x,y), (w,z), (p,q)…

Q: In a chess tournament, each pair of participants must play with each other exactly once. Two players…

A: We will use counting including combination  to find solution .

Q: Q) fınd Fourier series on [0,27] (1) ƒ(x)=r- x (2) ƒ(x)=sinx (3) ƒ(x)=cos x (4) ƒ(x)=xsin x (5)…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: You are wallpapering two walls of a child's room. One wall measures 9 ft by 8 ft, and the other…

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Q: R Fnd he coneion mara Suppose that B and C are ordered bases of R. Find the conversion matrix from B…

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Q: 3. Let n be an integer greater than 2. Explain why n! +2, n! +3, n! +4, n! + (n – 1), n! +n are all…

A: We have to explain that n!+2, n!+3,…,n!+n-1,n!+n are all composite numbers.

Q: there is at most one polynomial of degree less than or equal to n_____ option,(a) which interpolated…

A: Using interpolation theory, We need to check which option is correct.

Q: If the Z-score of a certain number is -0.440, with a mean of 80.2 and standard deviation of 11.811,…

A: Given Z-score = -0.440 Mean = μ = 80.2 Standard deviation = σ = 11.811

Q: 15. Omar wants to cross a river that is 220 meters wide. The river flows at 5 m/s and Omar's…

A: Solution

Q: 1 -1//2 1//2 Pi P2 1 1 0 0 18 0 -1//2 0 P4 P3 -1 1//2 0 1//2 1 0 -1 -1//2 12 Ps 0 P6

A: To solve the system of linear equations obtained below form the matrices; The given data is,…

Q: Give the value of the following: 1. C(4,4) 3. С (29,29) 5. С (10,1) 7. C (5,4) 10.…

A: This quetion related to the topic combination. Solution is given below

Q: Solve the following equations: 7x1 – 4x2 + x3 = 1 -4x1 + 6x2 – 4.x3 + X4 = 1 Xi-2 – 4xj-1 + 6.x; –…

A: We have to solve the given equations.

Q: 3. Use the composite trapezoidal rule and Simpson's rule, each with 10 subintervals, to estimate sin…

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Q: Suppose that an object is thrown upward with an initial velocity of 64 feet per second off the edge…

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Q: 88+88

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Q: Given the two transfer functions below that describe the digital systems. For each one sketch the…

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Q: Let f(x) = VT. Use the definition of derivatives as limit of difference quotient to show that…

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Q: (b) Obtain the quartic interpolating polynomial of the form f(x) = a + bx + ca² + dæ³ + ez* which…

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Q: We have data on the lean body mass and resting metabolic rate for 12 women who are subjects in a…

A: We can solve this using least square method

Q: Find the volume. 1.5 m 1.5 m 50 cm 2 m 2 m

A: To find the volume.

Q: The inflection point of the function f(x) = x³ – x² + 5x +1 is: 70 (3, 27 70 (-3,–) 27 (-3 70 (-3,…

A: Given function is fx=x3-x2+5x+1

Q: 3. On the relation R on the set {1, 2, 3, 4, 5} defined by the rule (x, y) e R if x+y<6. a) List the…

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Q: Consider the simplex tableau given below

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Q: I. State whether or not the given matrix is (a) upper triangular, (b) lower triangular, (c)…

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Q: - Complete the following table 1.0 1.3 1.6 1.9 2.2 0.7651977 0.6200860 0.4554022 0.2818186 0.1103623…

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Q: Show that Q[x]/⟨x 2 − 2⟩ ≅ Q[x]/⟨x 2 + 4x + 2⟩.

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Q: Suppose the message IZFORVKGRWVXMJJMUBLOVGXHOKE is intercepted and the following is known about it:…

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Q: Let sin A = 3 5 with A in QII and sin B = −  8 17 with B in QIII. Find sin(A + B), cos(A + B), and…

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Q: Determine if the sets of vectors are linearly independent or dependent. Justify your answer. You may…

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Q: (5a) Let A = {n E Z | n = 2 (mod 3)} and B = {n E Z | n = 1 (mod 2)}. Prove that if n E (A n B),…

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Q: Q) find Fourier series on [-n,7] (2) ƒ(x)=sinx

A: Note: According to our guidelines we can answer only first question  2)

Q: Show that if A and B are sets |A| = |B|, then |P(A)| = |P(B)|

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Q: 6. Find the value o() for a solution o(x) to the initial value problem: y" + y = sec® z; y(0) = 1,…

A: Differential equation and it's solution

Q: Solve the system graphica x+ys5 x+2y s 8 X20 y20

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Q: 00 1. Find the interval of convergence of 2 n(n + 1)(x – 2)" n=0

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Q: The figure shows the region of integration for the integral. (x, y, z) dy dz dx Rewrite this…

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Q: Given log(100) =2, log(101) =2.0043, log{103) =2.0128, log(104) =2.0170   find log(102)

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Q: Factorize the matrix into LU decomposition. A=[ 054 512 123 Note; With complete solution

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Q: Find the area bounded by these curves

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Q: Font Paragraph Styles Editing Voice Editor Reuse Q–2: a) Let U = {x: x is an integer and 2 7},B =…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Use Laplace Transform technique to solve the initial value problem y' + 2y = 26 sin 3t , if y(0) = 3

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Q: Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. 11 %3D 13, х1 %3…

A: Given A = -14-645-12-2-43λ1 = 13, x1 = (1, 2, -1)λ2 = -3, x2 = (-2, 1, 0)λ3 = -3, x3 = (3, 0, 1)

Q: Find the Solution (1+12) ds + 21[st² – 3 (1+12) ²jdt = 0; when t = 0, s = 2. t = (1 – s²)[2-e- A s =…

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