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Q: Classify the quadratic form below. Then make a change of variable, x = Py, that transforms the quadr...

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Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) dx ...

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Q: 486, 162, 54, .

A: To Find the formula for the n-th term for the following geometric sequence

Q: III. The parts of a spherical triangle are A = 59°, B = 132°, C = 90°, c= 122°, a = 460 or 134°, b =...

A: We will use the Supplemental Cosine Rules of spherical triangles to find the correct choice of a &am...

Q: Suppose f(x) is a continuous function. Prove that fe(a) := 20 is an even function and that fo(x) := ...

A: Note: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts...

Q: What is the partial derivative dv/dy of the following function? v = 3x + 9xy -y/In(z) + cos (z + x) ...

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Q: 1)Calculate the following double integrals. (y + xy-2)dA, where R = {(x, y) E R²/ 0 < x < 2, 1 < y <...

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Q: 1)Use Lagrange multipliers to find the extreme values of the function f: R? → R, f(, y) = x² – y? su...

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Q: Q4 Illustrate the graph for the piecewise function below; f(x) = (X + 2)² - 3< X < 0 | -2X 0 < X < 2

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Q: 10. Is the ordered pair (0, 0) a solution to the system of linear nequality S2x+ 5y < 10, 3x – 4y 28...

A: Since you have posted multiple questions and we can answer one question. So, answered question numbe...

Q: Q2 The volume of a cylinder increares at a rate of 3cm's. The height,h cm of the cylmder is twice th...

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Q: y' = y – xy³e¬2x

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Q: FIGURE Q2 shows that the curve x = f(y) divides the rectangle into two areas, A, and A2. y x = k h x...

A: We will use integral to find area and volume 

Q: Show that if a, b, and n are integers such that n ≥ 2 and a ≡ b (mod n), then gcd(a, n) = gcd(b, n).

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Q: f(t) = 8 – 15 | "sin5r f(t-t) dt

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Q: Determine the centroid of the area bounded by y? = 2x and the line x - y = 0.

A: Given curves are y2=2x ,x-y=0 we have to find the centroid of the area bounded between the curves.

Q: (a) If z is a complex number such that z =8i, write z in the form a +bi. Given that =, =2 b where a ...

A: These are complicated &amp; lengthy problems,so I can do it in Advanced mathematics. 

Q: Find all angles between 0 and 27 satisfying the condition Cos x = Separate your answers with commas.

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Q: c) The vector from the origin to the point A is given as (6, -2, -4), and the unit vector directed f...

A: This is complicated problem.So I can do it in Advanced Mathematics.

Q: Find the area of the indicated region. We suggest you graph the curves to check whether one is above...

A: First we'll sketch curves mentioned. And then we have zoomed the enclosed region of integration. T...

Q: Problem 2 Remember, you must show all work to receive credit. Consider the function f(x) = x/3 (x - ...

A: To find  The critical points and the intervals on which the function is increasing or decreasing of ...

Q: Problem 7 You work in facilities at a small college and need to build a fence around an athletic fie...

A: One side of the fencing is more costly than the other three sides because the fence needs to be high...

Q: 9. In the given problem in #8, If John buys 10 bolts, what is the maximum number of nuts he can buy?...

A: Given that  Total money does John had =php2000 Cost of each nuts=Php 80 Cost of each bolt=Php 100 To...

Q: Solve the differential equation using numerical integration. dy DE: 2- 2y Initial Conditions TSE EUL...

A: We have the following first order ordinary differential equation : y' = x3 - 2y With initial conditi...

Q: john goes to a nearby store to buy nuts nad bolts.He has PHP 2,000 nad he's going to buy nuts for PH...

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Q: d. Find the intervals where this function is concave up/concave down. Show the intervals on the real...

A: The given problem is to find the intervals for concave upward and concave downward for the given fun...

Q: Question 2. Is the matrix U unitary, where 1+ i 1- i -1 Yes No 1- i | 1+i P = diag ( i,-i, V2 Yes No

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Q: Consider the ellipse E of which one of its axes is known to be 6 and E shares vertices and center wi...

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Q: Use mathematical induction to prove the following equality for every n ∈ N 1*2 +2*3+...+n(n+1) = (...

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Q: Solve the differential equation using numerical integration. Higher Ordered ODES dy DE: + 4y =0 Init...

A: We are given a second order homogeneous ordinary differential equation as : y'' - 4y' + 4y = 0 With ...

Q: You are considering two job offers: a full-time permanent position that pays $58,000 annually and a ...

A: We have to take, there is five days working and working hours is 8 hours. Given, Full-time permanent...

Q: ) What is the value of the expression below? -4.5(-(M(-0,25) |

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Q: Optimization problem, (a) Consider f (x, y) = x + 2y. Find maxf (x, y) subject to the constraints x...

A: Given that, Objective function is  f (x, y) = x + 2y Subject to the constraints x + y ≤2, x + 3y ≤3,...

Q: Find an SVD of the matrix. -6 5 A = 0 6

A: We have to general eigenvalue and eigenvectors to find Singular Value Decomposition of matrix A We h...

Q: Find the matrix of the quadratic form. Assume x is in R. 8x, + 2x - 6x3 - 14x,x2 + 6x, x3 = 8x2×3 b....

A: Quadratic form:-Let A  be n×n real symmetric matrix, A function q:R^n to R defined by q(x)=X^tAX is ...

Q: A 3 × 7 rectangle is divided into 21 squares each of which is colored red or black. Prove that the b...

A: Given that, A 3 × 7 rectangle is divided into 21 squares each of which is colored red or black. Prov...

Q: 19. A relation sets up a correspondence between sets, which is between the elements of the domain an...

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Q: Katie is 25 years old and wants to save $1 million for retirement in 30 years. Assume she invests in...

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Q: A 20-foot-tall tree has fallen against the wall of a garage. The base of the tree starts to slide on...

A: The rate of change of angle between the tree and the ground is given in step 2.  

Q: The inverse Laplace transform of F(s)= 15 3+16 Select the corect answer O a. 20cos(4r) Ob5 sin 41 OC...

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Q: Consider the differential equation: d'y dy + 4 dt + 4 = 4e "; con y(0) = 0; y'(0) = 0 %3D dt2 Determ...

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Q: Calculate the directional derivative of the vector field f(x,y,z) = (yz)i - (x)j -(y)k at the point ...

A: We will use the following bracket notation of vectors : xi + yj + zk  ≡  &lt;x, y, z&gt;

Q: Find (a) the orthogonal projection of b onto Col A and (b) a least-squares solution of Ax = b. -1 4 ...

A: Given: A=-1418-14, b=5-13

Q: Solve the ff. areas of the shaded regions. Show COMPLETE SOLUTION and box the final answers

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Q: If z = f (x, y) is a function that admits second continuous partial derivatives such that ∇f (x, y)...

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Q: f(x) = x² – 4 | 1o 11 12 is 14

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Q: Write the given a linear combination 7. vector as of vectors from the set if possible ほ) -3 15 18 13

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Q: Problem 1. Prove the following or give a counterexample: If G = (V, E) is a graph, and v, w E V are ...

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Q: Prove that there are no 3 consecutive odd prime numbers, that is, for any odd p ≥ 5, at least one of...

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Q: IIII y" -2y™" = 0 %3D

A: Given the differential equation y''''' - 2y'''' = 0. Auxiliary equation is m5 - 2m4 = 0