How many positive integers greater than 5 and less than 2020 are divisible by 7? are divisible by both 7 and 13? are divisible by either 7 or 13? are divisible by either 7 or 13 but not by both? have distinct digits? Instructions: Type a numerical answer for each part.

Q: Family of Curves Practice Exercise: Find the differential Equations of the following: 1. Family of…

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Q: Here we consider f(x) = Vx near a = 8. (a) Find T1(x) and T2(x) centered at x = 8. (b) Separately…

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Q: The side of a cylindrical can full of water springs a leak, and the water begins to stream out. (See…

A: Based on the depth and distance this problem  was solved

Q: Use transformations to sketch the function. Clearly show a minimum of 5 points and the horiz…

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Q: 7. This rectangle has a perimeter of 28 units. 10 a. Create a table that shows the length and width…

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Q: 2.) Let Tv = Av represent the linear transformation T where 11 -1 2 1] 1 A Find a basis for (a) the…

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Q: Find a point on the ellipsoid x + 3y² + z = 8 where the tangent plane is perpendicular to the line…

A: Introduction: The perpendicular vector to a 3D object f ( x, y, z ) can be calculated by computing…

Q: SorvE THモ CONGROEモNしE 626 X Rエ mod5

A: As 5 is an odd number, by fermat's theorem, we have             x5-1 = 1 (mod 5)           => x4…

Q: Graph of f 8+ 4 -2 -4 -8- 4,

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Q: Solve and draw l Sketch the graph of the pollowing equations: x² + ag? + z - &x t 124 22 + 35 :0 1.…

A: We know that a function in three variables x, y and z is written as z=fx, y or fx, y, z=0, where x,…

Q: Apply the alternative form of the Gram-Schmidt orthonormalization process to find an orthonormal…

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Q: 4 t so that -1 is

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Q: Find all sixth roots of I, by solving the equation 1. [Hint: Find the zeros of the polynomial f(x) =…

A: Use the following formulae, to obtain the solution. a2-b2=a-ba+ba3-b3=a-ba2+ab+b2a3+b3=a+ba2-ab+b2

Q: Use the equation giving the flux of the vector field across the curve to calculate the flux of F(x,…

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Q: 1) (a) Convert the following equations from parametric to rectangular. State the domain and range of…

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Q: (a) Let S {C ): a, 6, c e Z, where 0 denotes the usual integer zero. Given that S is a ring under…

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Q: Find the solution of the equation = e cos y which tends to zero as x → 0o and has the value cos y…

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Q: Determine whether the function T: R3 → R3,T(x, y, z) = (x + 1, y + 1, z + 1) inear transformation.

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Q: re inches of print. The margins at the ach 1- inches wide. d be the dimensions of print so The…

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Q: (a) Estimate the area under the graph of f(x) = 1/x from x = 1 to x = 5 using four approximating…

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Q: Find the line integrals of F =2yi+3xj + 4zk from (0,0,0) to (1,1,1) over each of the following…

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Q: For the following data (6, 6, 2, 2, 4, 4, 8, 2) , the mode equal 6 and 2 O 6 and 4 O 6 and 4 and 2 O…

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Q: 7. Let F be the fluid force on a side of a semicircular plate of radius r meters, submerged…

A: (a) Redraw the diagram a follows:

Q: Determine whether the series is convergent or divergent. n2 Σ n7 + n n = 1 O convergent O divergent

A: We have given a series , ∑n=1∞ n2n7 + n. We need to determine whether the given series is convergent…

Q: Use the Laplace transform to solve the initial value problem y" + 4y = e2t, y (0) = 1, y' (0) = -1.

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Q: -3 Au = 3 and Av = -3 3 then A(-2u – 30) = %3D

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Q: Jack is driving his car from his home to a nearby city on a straight road. 1.5 hours after his…

A: Jack is driving his car from his home to a nearby city on a straight road. 1.5 hours after his…

Q: Find the interest rate needed for the sinking fund to reach the required amount. Assume that the…

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Q: Rewrite using spherical coordinates the triple iterated integral and solve

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Q: I. Determine whether the infinite series is convergent or divergent. + 00 3. E, sin nT 3 4 Σ(-1)"-1,…

A: We have to check whether given series is convergent or divergent.

Q: 6. Use Stoke's Theorem to evaluate $F dr, where F =, and C is the part of the paraboloid z = 4 - x2…

A: Let F be a vector field and C be the boundary of the surface S. The Stoke's theorem states that…

Q: 3) If the length of an interval equal 1 then the minimum number of iterations necessary to a cheive…

A: Let us determine the number of iterations required to get an error less than or equal to 0.001 using…

Q: Here we consider f(x) = Vx near x = 8. (a) Find T1(x) and T2(x) centered at r = 8. (b) Separately…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: For the function given below, find a formula for the Riemann sum obtained by dividing the interval…

A: Let fx be a function defined on the closed interval a,b. To compute the area under the curve fx, use…

Q: 2. What is the solution to the initial-value problem PD.E. ut = c²uxx (u(x,0) = 0 lu,(x,0) = xe-x -…

A: Given that  utt=c2uxx    -∞<x<∞,  0<t<∞ux,0=0  and  utx,0=xe-x2,   -∞≤x<∞ It is a…

Q: R.3. Consider the relation R = {(m,n):m,n E N & m|n}. Prove that R defines a partial order on the…

A: A relation R is said to be partial order on a set X if the relation is reflexive, transitive and…

Q: Find the eigenvalues of the matrix A. 22 -15 50 A = -33 -1 -3 6 8 The eigenvalues are 11 < 12 < d3 <…

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Q: Exercise 14.4.22. Let o be a permutation in S,. (a) Show that there exists an integer k > 1 such…

A: Given that α is a permutation in Sn.

Q: For the following data (10, 20, 30, 52, 64, 67, 98, 100, 200) , the median equal 52 O 67 O 64 O 200…

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Q: Problem 5. A space has the line element, ds? =v°du? +u°dv² . Determine whether this space is flat or…

A: Given: Line element, ds2=v2du2+u2dv2. To find: Whether the space is flat or curved.

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = 1/3x^3/2,…

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Q: 1. Sketch a graph the function Ax) = 3* . Identify the key features. a) domain and range b) any…

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Q: Three hundred draws are going to be made at random with replacement from the box . 0,0,0,1  The…

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Q: If r and s are real numbers and r < s, then there exists a positive integer t such that r+t = s.…

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Q: Exponential Regression The table below shows the value, V, of an investment (in dollars) after n…

A: Given, V: investment (in dollars) after n years n 0 3 7 13 14 19 V(n) 3000 3307.1 3947.8…

Q: (2n-1) Determinar cuál de los siguientes criterios debe ser utilizado para demostrar la convergencia…

A: Given series is ∑n=1∞2n-13n+5n

Q: Use this definition to find an expression for the area under the

A: Given,             f(x)=x4, 1≤x≤11

Q: 2- Use Lagrange interpolation formula to determine the relation between the velocity of the rocket…

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Q: The value (round off to one decimal place) of

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Q: An Euler-Cauchy equation is given as x*y" +1.5xy – 0.5y=0, x(1)=5, 19 (9). 3 Solve the equation by…

A: Here, we have given that the Euler-Cauchy equation x2y''+1.5xy'-0.5y=0 and the initial conditions…