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Q: A fence is composed of x posts, each of which is 2 cm wide. If there is 4 cm of space between each…

A: The fence consists of x posts. Each post is 2cm wide.  In between x posts there are (x - 1) spaces…

Q: 1. let cos z = 1 and let f(x) = sin(x + y + z) cos(x + y) -prove that f'(x) = sec²(x + y)

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Q: (B) For the following data in table: 50 618 x /(x) 100 724 150 805 Find f(160) by using: L First…

A: The question asked by you are three different questions, so according to the rule I solved the first…

Q: 10. Find the solution of y(k+2) + 3y(k+1) + 2y(k)= 0 satisfying y(-1) = 0, y(0) = 1.

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Q: 30'-0" TWO DIMENSIONS: What is the square footage of this round pad?

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Q: oose the answer that best describes the relationship between A={integers divisible by 2} and B=…

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Q: For the following exercises, consider the function f(x) = √√x – 5. f(x+h)-f(x) h a) Evaluate the…

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Q: Use the method for solving Bernoulli equations to solve the following differential equation. dx dt X…

A: Given differential equation is dxdt+3t5x7+xt=0.

Q: Question 7 Let A be an n x n matrix, and I be the nn identity matrix. For vector x E R", the linear…

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Q: ine the graph of the paraboloid z=x2+9y2. Choose the correct graph of the equation.

A: Given the paraboloid equation is                           z=x2+9y2.

Q: Use the method for solving Bernoulli equations to solve the following differential equation. ²+20r0³…

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Q: 1. Show for RVs (X, Y), independence results in px,y = 0. P

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Q: Choose the answer that best describes the relationship between {B, x, 2} and {z, B, x} a. {B, x, 2}…

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Q: , use (10.10.1) to determine L[f].

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Q: (1) Draw contour plots for the following functions. Your contour plot must include at least 6 level…

A: Contour of a function is a graph in XY plane consisting of all level curves equally spaced. Level…

Q: In retail sales, an important marker of retail activity is the stock turnover at retail. This figure…

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Q: Let ¹ = [ 8 ], x= [ ¦ ! ] x = [ 9 ] -[69]-[88]-[8][9] Show that these four matrices span M2(C), the…

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Q: Find the eigenvalues and eigenvectors of 5 dx dt Number of eigenvectors: two r1 r2 = 12 (2). 2 9 NIC…

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Q: -(A VB) -AV-B (A v B) ^ (AVD) :. A V (BAD) (A → B) ^ (CD) (AB) A (-D¬C) Choose.... Choose....…

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Q: Show that if x > 0, then 1 + 1x − x² ≤ √1+x≤ 1 + ½ x. -

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Q: 12. Suppose you invest $800 at 6.7% a year, compounded annually. After n years, the amount of the…

A: 12. You invest $800 at 6.7% a year, compounded annually. After n years, the amount of the investment…

Q: elect all of the following sets that could be the set A if A C {5, 7, 11, 13, 17, 19}. 17 10

A: We know, B is said to be a subset of A that is  B⊆A if B is contained in A. A subset can contain all…

Q: Find, if possible, AB and BA. (If not possible, enter IMPOSSIBLE in any single cell.) -1 3 0 15 22 A…

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Q: 15. Determine whether (-q ^ (p → q)) → ¬p is a tautol- ogy.

A: We determine whether the given logical expression is a tautology using the truth table.  p   q   ¬p…

Q: represent the standard inner product in R3 with respect to the basis (1,0,1),(0,1,1),(1,1,0).

A: Given basis for R3 is B=1,0,1,0,1,1,1,1,0 = b1,b2,b3        The standard inner product with…

Q: A torus of radius 3 (and cross-sectional radius 1) can be represented parametrically by the function…

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Q: How many first-place votes are needed for a majority in the election? 57.5 Vel 30.5 Vites 35 Veles C…

A: According to our guidelines we are only supposed to answer the first three questions. Kindly repost…

Q: Inspectors are investigating the carbon dioxide emissions of a power plant. Let R be the rate, in…

A: Trapezoidal Rule: The formula to calculate the approximate area using the Trapezoidal Rule is given…

Q: As we have parametrized our helix (here t is the parameter), we can graph it in R³ using Parametric…

A: The helix is a space curve with parametric equations     x=rcost    y=rsint   z=ct  i.e  r(t) = <…

Q: Describe the surface with equation The surface is a sphere with center (i i x² + +z²+ 8x + 4y + 2z…

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Q: Without doing any calculations in Aut(Z105), determine how manyelements of Aut(Z105) have order 6.

A: Given: Automorphism, AutZ105To find: Number of elements of AutZ105 having order 6.

Q: Let A be a 5 x 4 matrix and b a nonzero vector in R5. We are told the system Ar = b has infinitely…

A: Given A be a 5 x 4 matrix and b a nonzero vector in R5 That is, there are 4 equations and  unknown…

Q: 3) Without graphing, determine the number of solutions for y-3x = 6 (3y - 9x = 18

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Q: (a) Show that if o(a) contains every subset of N, then for each pair and w of distinct points in…

A: In probability and measure theory, the question of whether or not the condition that every pair of…

Q: 1. sin(1-12) 2. cosh(0.6+ j0.4)

A: (1)  sin 1-j2 = sin1 cosj2 - cos1 sinj2                         =sin1 cosh2 - j cos1 sinh 2…

Q: i 30'-0' ONE DIMENSION: What is the perimeter (linear footage) of this round pad?

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Q: Let F be a field, and let f(x) and g(x) belong to F[x]. If there is nopolynomial of positive degree…

A: Given: F is a field, fx, gx∈FxTo prove: There exist polynomials hx and kx in Fx with fxhx+gxkx=1.

Q: Find the partial derivatives of f(x, y) = 4x³y². (a) f(x, y) = (b) f(x, y): (c) fa (5, y) =

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: c) to the ellipsis [x = √2cos(t) { y = √2/sin(t) }+= 4 t Also sketch the ellipse then draw the point…

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Q: What is the image of the circumference x² + y² = ax; in the function ƒ(z) = ? Z ("z" complex number)

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Q: Use the method for solving homogeneous equations to solve the following differential equation. (8y²…

A: The given equation is       (8y2 - xy)dx + x2dy = 0 . . . . . . . . . . (1)       => x2dy = -(8y2…

Q: Q4.1 Let 2 fox) = { ²8 x -1 < x < 0 0 ≤ x < 1 the fourier series for f(x), 8 и п fax) - 2 + (ºncos…

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Q: Find the area of the region inside the polar curve r=5 +cos 8 that is lying in the second quadrant.

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Q: Suppose that H is a subgroup of a finite group G and that |H| and(|G:H| - 1)! are relatively prime.…

A: Given: H is a subgroup of a finite group G and that H and G:H-1! are relatively prime.We need to…

Q: A chemical engineer has repeated an experiment to analyse the impact of a catalyst on the production…

A: We know the formula for finding the Least square line is  Y=a+bx The details calculation is given…

Q: Q1 Classify each of following differential equation (Separable, homogenous, linear, exact or…

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Q: Confirm that the mixed second-order partial derivatives of f are the same. fxy fyx = || f(x, y) =…

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Q: x \ Q (VT € Q ( x + 0 + + € R \ Q)) Y Vy ER\QVE Q

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Q: Give the general solution of the following homogenous differential equations in terms of real valued…

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Q: Evaluate the following expressions. Show complete solutions. Express all the answers in RECTANGULAR…

A: 3. The argument for the ln here is              3.14 ∠ 0.215              = 3.14 ei(0.215)…