Suppose “a” is an integer. If 5|2a, then 5|a.

Q: Determine the range of the graph of y = 8cosx - 7. %3D O(-7 sxs 7, y e R} O {-15 s x s 1, y e R} O {...

A: We need to determine the range in 1st part and domain in the 2nd part of the question.

Q: 2 zy ら- Let Los 63 Z), find the Wニ Value of d at the point (!, Ln2, o) on the curve x = Cost , y = L...

A: To find.  The value of dw/dt at the point(1, ln2, 0) on the given curves. 

Q: Does the sequence {a,} converge or diverge? Find the limit if the sequence is convergent. 1 an sin 6...

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Q: One of the following statements is true:

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Q: Find dy/dx at the point (0,1) using implicit differentiation given that xy + e y = e

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Q: In McLauring series of common functions, solve the following. 1. sinh x

A: Maclaurain series of sinhx, using e^x and e^(-x)

Q: 5. Use polynomial fitting to find a closed formula for the sequence (an)n e N,: 1,3,11,31,69, ...

A: To find a closed formula for the sequence  a0=1,a1=3,a2=11,a3=31,a4=69,.....

Q: 18. Simplify: i9 + j21 + j2050 in form a + bi.

A: Complex number a+ib form

Q: dy * - x Iny; yc1)= |

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Q: a. Set up an iterated integral in polar coordinates for the volume of the solid under the graph of t...

A: We have to find the volume of solid.

Q: Select the correct answer from the drop-down menu. The graph of g(x) is the graph of f(x) = x² trans...

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Q: Write out the sample space and assume each outcome is equally likely. Then give the probability of t...

A: Here we have to find probablity of the asking event.

Q: dx り= Ans-(1.564)

A: As per our guidelines we need to solve only one question. Please, repost the remaining questions as ...

Q: Find the volume of a right pyramid that has a square base in the xy-plane. –1 < x < 1, –1 < y < 1, a...

A: Solution is below.

Q: 1. Country X and country Y both aspire to be the first to put an astronaut in orbit, spending Sr and...

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Q: Define a function S: Z+ → Z+ as follows: For each positive integer n, S(n) = the sum of the positive...

A: Solution

Q: O Watch help video The shaded region shown below is bounded by the functions f (x)= -2x -3a + 9 and ...

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Q: 1. Consider a sequence that begins with 1,4,8, Explain why each of the following could be the next t...

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Q: Consider the following two ordered bases of R B - {(1, -1),(-2,3)}, {(-1,1), (1, –2)}. C a Find the ...

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Q: |a 0 |1 5 11. then A? = B if a = ? If A = 11 11 and B = 15

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Q: Choose the Laplace transform of the given function. 8 (t – T) t cos (t) e-TS + T -TS e TS -Te те

A: Laplace of δ(t-a)=e-as We also know x(t)δ(t-a)=x(a)δ(t-a) so t cos(t) δ(t-π)=π cos(π) δ(t-π) = -πδ(t...

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(8, -2, ...

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Q: la 이 If A = 1 1l and B = 15 11, then A² = B if a = ?

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Q: Home work find * if w =4x-5 and x =t+4t

A: Given, W   =  4x2-5 and     x= t3+4t  

Q: 2. Now consider the series r r8(4n)!(1103 + 26390n) 9801 - 3964n (n!)ª This series was discovered by...

A: SOLUTION  

Q: What is the axis of symmetry of the parabola f(x) = -2(x + 1)2 + 4? %3! X = -2 x = 1 Ox = 4 Ox = -1

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Q: 1. (a) Find the maximum value of f(x, y, z) = 16x + 2y + 4z, subject to the constraint x² + y+ z² = ...

A: Introduction: When we extremize a multivariable function under certain constraints, we use the Lagra...

Q: 18. Show that every base 7 palindromic integer with an even number of digits is divisible by 8. 19 D

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Q: Consider the following two ordered bases of R B - {(1,-1), (-2, 3)}, C = {{-1,1),(1, -2)}. a Find th...

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Q: Find the general solution for the differential equation y′′ −8y′ + 25y = 104 sin(3t)

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Q: ze and dz Draw a dependency diagram, and write a chain rule formula for where z = k(n) and n= f(r,s)...

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Q: (a) Solve the following linear equation by Cramar's rule:- x - y + 2z = -4 Зx + у — 4z %3 -6

A: # We are entitled to solve one question at a time, please resubmit the other questions if you wish t...

Q: Let & denote the convolution operator. If f (t) = et and g (t) = sin (6t), calculate (f®g)(t). Note:...

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Q: On average, there are 12 potholes per mile on a particular stretch of the state highway. Suppose the...

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Q: (a) Let A be an m × n matrix, and let B be the result of performing a single elementary row operatio...

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Q: the fünction on the closed interval. Use a graphing utility to verify your results. (If an answer do...

A: We have to find the absolute maximum and minimum

Q: Factor

A: Given that x^2-2x-15 write -2x as the sum of two terms such that their produt is -15x^2. =x^2-5x+3x-...

Q: Find f(x) dx for each graph of y = f(x), where f(x) consists of line segments and circular arcs. Ay ...

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Q: Find S. Re z?dz clockwise around the boundary of the square with vertices 0,j,1+ j,1

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Q: 1 find the length of the curve x = 7y* + y2, from y = 1 to 24 y = 2.

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Q: Use parametric equations to describe the solution set of the linear equation below. Give the exact a...

A: Using parametric equations we describe the solution set of the given linear equation, using the vari...

Q: The cost C of manufacturing transformers in a factory varies with the output N per day according to ...

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Q: How should the coefficients a, b, and c be chosen so that the system 3 z = -39 ax + by - -2 x - by +...

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Q: In the Midpoint Rule for triple integrals we use Rule to estimate the value of the integral. Divide ...

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Q: Let R be the region bounded by the functions f(a) = -3x² – 10x and g(x) = -6 as shown in the diagram...

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Q: Prove that the union of countable set is countable

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Q: Question 3 Which of the following pairs of values for witnesses C and no could be used to justify th...

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Q: Included below is an adjacency list for a graph with vertices named 0 through 9 (inclusive), represe...

A: Given- Included below is an adjacency list for a graph with vertices named 0 through 9 (inclusive), ...

Q: Solve using Gauss-Jordan elimination. 3x, - 2x2 - 4x3 = 19 = 9 Select the correct choice below and f...

A: To solve the equations,  3x1-2x2-4x3=19x1-2x2=9 using Gauss jordan elimination method.

Q: Let D be the set of all finite subsets of positive integers. Define a function T:Z* → D as follows: ...

A: Since T(n)=The set of positive divisors of n. Since 17 ,5 are prime numbers.