1. Find the angle between two vectors u = i-2j - 2k and v= 6i + 3j+2k.

Q: Calculate the area for the following closed quadrilateral, given delta E (departure) and delta N…

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Q: 4. Evaluate the functionf(x) = x² + 1 and g(x) = x - 4. Find a. (fᵒg)(3) b. (gᵒf)(1)

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Q: The graph of y = f(x) is given below. Th 0 2 Which statement is true? O f'(5) < f'(-2) < f'(1) O…

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Q: I expect the value of my car to depreciate over the next few years at a constant rate proportional…

A: Let initial value(price) of car =P(t) P(t) is function of time.

Q: Let C: r(t), te [a,b], be a regular curve in R³, oriented from the point P = r(a), up to the F-dr…

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Q: Use the Squeeze Theorem to show that  lim x→0 x2 cos(16?x) = 0.

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Q: See the points D(4,-2,5), E(-1,3,5), and J(4 + 2√3, −2 − 2√3, 5+ 2√2), and the line / with symmetric…

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Q: The graph of the function g is formed by applying the indicated sequence of transformations to the…

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Q: (5) Alice and Bob agree to use the prime p = 2663 and the base a = 5 for communications using the…

A: As per the policy we are allowed to solve only one question at a time. So, I am answering the first…

Q: (c) y(0) = -5 10 -10 O (d) y(8) -5. 10 -5 -10 -10 O -10 -5 -5 0 y 0 5 10 10 X X -10) O 10 O 10 5 0…

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Q: Q. Show that . + () * (2 ) ) - ( yi 1) + (2) + C D

A: Given expression is y0+n1∆y0+n2∆2y-1=y0+n1∆y-1+n+12∆2y-1                   (1) Since we know that ∆…

Q: Use the method of undetermined coefficients to find the general solution of the following…

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Q: Q2: Check the symmetry and graph the curves in rectangular and polar coordinates (? Ar=3 √cose

A: To check the symmetry and graph the curves. Given r=3cosθ

Q: hand written plz uchberger's Criterion, determine whether the following for the ideal they generate.…

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Q: Problem 3. For the function f(x) = 6x²-x-2, evaluate and fully simplify each of the following: a)…

A: The solution is given as

Q: A = $50

A: Given as,

Q: if the test point chosen makes the inequality statement falls then one should be sure to shade the…

A: Solution: In the given statement, it is given that if the test point chosen makes the inequality…

Q: 12y 3p A) For the joint probability p(A.B)-5p 4y. Find P(A). P(B), P(A/B), and 13p 7pl P(B/A), if y…

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Q: u(0,t) = u(3,t)=0, t≥0 x 0<x<1 u(x,0) = 2-x 1<x<3

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Q: Use interval notation to write the solution set of the inequality below. 3x+5< -6 The solution set…

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Q: Apply the Gram-Schmidt orthonormalization process to transform the given basis for R into an…

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Q: Show that the differential equation xy + x(1+y¹)y=0 is not exact, but becomes exact when multiplied…

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Q: 4-compos dx dy 5-find dry if f(x, y) = xe xe 6- find (x²³/2)

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Q: Find pro J² Jx² duct solutions of 4 du dy

A: The details solution is given below

Q: Nx - My xM - YN has an integrating factor of the form a(zh Find an integrating factor and solve the…

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Q: Prove that the product xy of two real numbers x and y is nonnegative if if and only if the absolute…

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Q: Write the first four terms of a Maclaurin series for f(x) = ex

A: We find the first four terms of a Maclaurin series of  f(x)=ex.

Q: (c) Every element in the set {0, 1, 2} is greater than or equal to half of its square. i. Original…

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Q: Allow T to be the surface with equation x² y² + (z-3√2)² --1 3² 1. Provide the equations of the…

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Q: See the points D(4,-2,5), E(-1,3,5), and J(4 + 2√3, −2 − 2√3, 5+ 2√2), and the line / with symme…

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Q: Question 5: The following data points are given. Determine a function w=f(t) (t is the independent…

A: It is a statistical problem and let us find the function that best fits the given data in the next…

Q: Consider the oriented curve C given by as shown in the following figure: An expression that…

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Q: Solve the given differential equations: 1. 3x²y dx − (x³ + y³)dy = 0, y(1) = −2

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Q: Hand written plzz : Find the Laplace transform F(s) = {f(t)} of the function f(t) = (8-t) [U(t-4) -…

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Q: Hand written plzz : Find the Laplace transform F(s) = {f(t)} of the function f(t) = (8-t)…

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Q: \3 // Problem 15. Solve the triangle ABC, if b = 121, c = 160, ZB = 40°. Assume 44 is opposite to…

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Q: Using the Buchberger's Criterion, determine whether the following sets bner bases for the ideal they…

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Q: (b) Let (M, d) be a metric space. Define a function e: MXM-R by e(x, y) = min {1,d(x, y)}; vx,y E M.…

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Q: Calculate the least common denominator of + + +42 + 3 and. Goth-1 2+1 2x32

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Q: Show that the set of rational numbers Q is countably infinite, with |Q| = |N].

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Q: From the table find f(0) using interpolating of Lagrange polynomial X -1 0 2 Y=f(x) 2 5 1 O -1 O o O…

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Q: The velocity of an object (in km per minute) t minutes after it begins moving along the positive…

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Q: Consider the equation =ay - y² = y(a — y). dy dt - a) Consider the cases a 0. In each case find the…

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Q: 2 4.5 7 9 f(x) 2.5 1 2.5 0.5 Apply Second order spline interpolution

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Q: 1- SOLVE THE FOLLOWING INTEGRALS 2-WHEN SOLVING POINTS A AND B, STATE THE REASON FOR BOTH POINTS,…

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Q: In a moment, you will be providing a system of three linear equations. A private investment club has…

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Q: solve: fx" - 4x - 3y=et-6 5x+y + 4y = 8+ cst

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Q: Z. Let n = pq be an RSA modulus, i.e., p and q are distinct odd primes. (a) Prove that ord₁(a) =…

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Q: Find the surface area of the plane (15x-5z+20y=35) if it ? is in the first octant

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Q: See the points D(4,-2,5), E(-1,3,5), and J(4 + 2√3, −2 − 2√3, 5+ 2√2), and the line / with symmetric…

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