ce of 500 km in 10 hours. What is its speed in km/hr?

Q: 1. Find the general (real-valued) solution of the following differential equations. If an initial co...

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Q: Question 5 13217 - 1427 + j18 Show your solutions on a separate sheet of paper. A 2i - 1 B) 1-i (c) ...

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Q: determine the longest interval in which the given initial value problem is certain to have a unique ...

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Q: dentity the corect steps rvoved in proving that if A B and Care sets, then AUu -A le -1aIANa- IAn C-...

A: The cardinality of a set is the number of elements in a set. Let B be a set. The cardinality of B is...

Q: хdу + (у - ху + 2dx %—D 0 lx=0

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Q: B. locate the 2-score with an area of 1.0.4500 2.0.4995

A: Given the area. to find the z-score.

Q: Let g(x) 3 +x+7. = X i) Find a solution to g(x) in Z/21Z. ii) Find a solution to g(x) in Z/3969Z whi...

A: We will use the basic knowledge of polynomials and the elementary theory of the congruence modulo pr...

Q: 6. Which one of the following statcments is true for the series (-1)" (2n)1, n2n (a) The series conv...

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Q: Let g(x) 3 +x+7. = X i) Find a solution to g(x) in Z/21Z. ii) Find a solution to g(x) in Z/3969Z whi...

A: We will use the basic knowledge of polynomials and congruence to answer this question and its both s...

Q: Question 3 (a) `Let f € C®lxo = h, xo + h] (for h > 0). Show that f(xo + h) – 2f(zo) + f(xo – h) s" ...

A: We will use the basic knowledge of numerical differentiation and Richardson extrapolation to answer ...

Q: B 2y (2x +3)'/2 (2x + 3)

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Q: 2. Supposed x +y = 4, and x* + y* = 6, what is xº +y°? A) 8 в) 6 C) 4 D) 10

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Q: 7. Mr. Buenaventurado's annual net income is 81 200 000 What is his annual gross income

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

Q: Use the formula for the binomial series: (1 + x)" = m(m-1)2 + ... + 2! m(m–1).-(m-k+l) ,k + k! 1 + m...

A: Given function is 1(1 + x)6

Q: Find the general solution of the D.E. (y^2- 2xy + 6x) dx = (x^2 - 2xy + 2) dy = 0 Show your solution...

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Q: (4+sine*)y' =e*(6sec e - ycose"); y(ln 1) = 1/4

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Q: 6. Consider a surface E = {(r, y, 2) | z = f(r, y)}, given by the graph of a function f(x, y). Sketc...

A: Given: Let us consider the given Σ=x,y,zz=fx,y and r→(x, y) = xi + yj + f (x, y)k . Let's take the D...

Q: Solve for the zeros of the following functions using the Rational Root Theorem. 1. P(x) = 2x4 - 7x3 ...

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Q: 4. What is the simple interest on N450 for 4 years at 4'/,% A. N71 B. N81 C. N91 D. N101 E. N111

A: Given information P=N450 R=412%=92% And T=4 years We have to find the simple interest. The formula f...

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Given: ∑k=1∞(-1)k-11312k-1 We employ ratio test check its convergence, Ratio test L=limn→∞an+1an 1. ...

Q: 52. A man finds the angle of elevation of the top of a tower to be 30". He walks 85 m nearer the tow...

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Q: If the diameter of a circle is 6 units, find the area of a sector with a sector angle of 80°

A: The area of a sector is calculated using the formula: A=θ3600×πr2, where r is the radius of the circ...

Q: 3. Consider the periodic system y' = A(t)y, 3 -1+ cos? t 3 1. - cos t sin t A(t) = 3 -1- sin t cos t...

A: We will solve the first two subparts for you completely and properly for you as per our company poli...

Q: H.W Find the Adjoint to the following matrix 4 X = -3 7 1

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Q: 2.3 Theorem. Let p(x) be an irreducible polynomial in F(x). Then there exists an extension E of F in...

A: Proof:Let p(x) be an ideal of F[x] generated by p(x).Since p(x) is irreducible, therefore, the ideal...

Q: Required information NOTE This is a multi-part giuestion Once an answer is submitted you wil be unab...

A: We have to find the value of X, Y, Z, P, Q AND R.

Q: ohn wants to set up a fund for her son's education such that she could withdraw $2,214.00 at the beg...

A: Given information Quarterly payment P=$2,214 Interest rate r=3.50% Now, quarterly interest rate R=3....

Q: Which of the following expressions are equivalent to cos(20), .? tan(0) Choose all answers that are ...

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Q: Match the set on the left with its size on the right. O Instructions (0,0) The set of letters in the...

A: The cardinality of a set is the number of elements present in that set. Let P be a set, then the car...

Q: change.

A: Given, It is a fixed number whose value does not change.

Q: Ethan wants to set up a fund for his son's education such that he could withdraw $2,982.00 at the be...

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Q: Imagine your goal is to learn a scalar weight w E R. You are given a differentiable objective functi...

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Q: Prove that there do not exist three consecutive integer values of nn for which 43n+1443n+14 is a per...

A: Given that 43n+14 We have to prove that there do not exist three consecutive integer values of n for...

Q: The function f(x) = /x is continuous on [0, 64] and therefore integrable on this interval. Evaluate ...

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Q: Σ [n(n+1) 2. Prove: Vne Z*, || 2 i=1 WI

A: Sum of first n terms is given as  1+2+3.....+n=n(n+1)2 Sum of square  first n terms is given as  12+...

Q: A trader gives a 5% discount for cash payments. What cash discount will he give on a bill of #35,300...

A: The expression: "p% of q" is same as p100×q.

Q: un 1(1

A: Using the properties of the exponential functions, it can be written that: abn=an×bnan×am=an+m

Q: Suppose that f(x, y) = e 42? - ly + 7z + 2y then find the discriminant of f.

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Q: 1. Multiply. Express each answer in its simp (a) x 28 = (b

A: The question asks to multiply a mixed fraction by a whole number.

Q: Let C be the arc of the circle |z| = 2 from z = 2 to z = 2i that lies in the first quadrant. Without...

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Q: 1. lim f(x) = x2" 2. lim f(x) = X-2" %3D 3. lim f(x) =D 4. lim f(x) = X-2

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Q: We are given the following training examples (1.2, 3.2), (2.8, 8.5), (2,4.7), (0.9, 2.9), (5.1,11) S...

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Q: Determine whether the series converges; if so, find its sum. If the series diverges, indicate that w...

A: Given series is ∑k=1∞54k - 45k

Q: 2. (4n Bn Ο υ (AnBn )υ (AnΒn()υ (AnBAC)υ (ΑnΒn υ (AnΒn ) a. ΑUB b. A U B c. ΒuC d. Βυ6

A: Let us solve  (2) by applying set theoric property.

Q: Consider the conic of equation: x2 − 2xy + y2 − 2x − 2y + 1 = 0.                                   ...

A: This is a problem of general quadratic form and rotation of axis.

Q: Required information NOTE This is a multi-part question. Once an answer is submitted, you will be un...

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Q: Required information NOTE This is a muti-part question. Once an answer is submitted, you will be una...

A: We have to find correct options.

Q: determine the longest interval in which the given initial value problem is certain to have a unique ...

A: Given IVP is  y"+(cos(t))y'+3(ln|t|)y=0......(1) y(2)=3,y'(2)=1.  

Q: Find these terms of the sequence (a where an=2-3)"5"

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Q: + 2x + 26 x+1 23. Supposed we let x + 1 = 5 tan 0 in the expression · what will be the resulting exp...

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