The Pythagorean Theorem, given by the formula a? + b² = c², relates the three sides of a right triangle. Solve the formula for the positive value of c in terms of a and b.

Q: 6 2/5 + 1 3/10

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Q: (A) If f(0) = 0.7, S(0.1) = 1, and S(0.2) = 0.2, use an appropriate 3-point formula to approximate f...

A: As per the question we are given three data points as : f(0) = 0.7 , f(0.1) = 1 , f(0.2) = 0.2 And f...

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Q: e subgroups

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Q: Easy multiple choice, use attached photo to solve. Thank you! d>a>c>b is incorrect. I will rate and...

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Q: sin(x) sin(y)dx + cos(x) cos(y)dy= 0, y(0) = 2, h = 0.5, Find y (1) using fourth-order RK

A: We have to find y(1) using fourth-order RK.

Q: Draw projections

A: The question post explicitly on the top (in the text form) mentions to "Draw projections". So, we ta...

Q: (f) Let A, B and C be three sets. Prove by contradiction that if An BC C and r E B, then x ¢ A - C.

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Q: Use any method to determine whether the series converge. 21 (a) ). VR + 1 This series >

A: Since you have asked multiple questions, we can solve first question for you. If you want other ques...

Q: .1 Use a calculator to calculate the following. Write your answer using the rounding instruction wit...

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Q: 2 시 25) bok ome

A: We have to find the value of the variables x, a, b, c, d and e for the given angles. For this, we ha...

Q: (c) Let p, q and r be three propositions for which p and q are true, and r is false. Determine the t...

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Q: What is the estimate of the integral de 16x-10 sing 4-segment Trapezoidal Rule? a. 0.07694 b. 0.0767...

A: Given the integral ∫01dxx2+6x+10. We have to use 4 segment Trapezoidal Rule to find estimated value ...

Q: y" + 2y' +y = sin x+ 3 cos 2x.

A: Let us consider the given differential equation y''+py'+qy=Q(x). To solve the differential equation ...

Q: A variable electric current is given by i = t2 - 7t + 12,  where t is in seconds. At what time is th...

A: Given  A variable electric current is given by i =t2-7t+12 we have to find the time at which current...

Q: ded on the y-axi

A: In this question, the concept of maxima and minima is applied. Maxima and Minima The extrema of a fu...

Q: of the angles

A: the angles are calculated as follows y=49°  Reason : Vertically opposite angles  

Q: 1. Find the linear regression X 0.7 0.96 1.13 1.57 1.92 0.19 0.21 0.23 0.25 0.31

A: Linear regression equation can be calculated as, y=a+bx Here 'a' is the intercept of the line and b ...

Q: 2х + 8 x2 - 12 lim x--6 x + 6

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Q: Find the value of b for which the differential equation (yesay + x) dx + (bæešy) dy = 0 8xy %3D is e...

A: Solution

Q: Solve y(H) a) Y (6) = y (4) = ? %3D b) y"-y' • 24 ylo)=1;y'(0)=-2 %3D

A: We have to find the solution y(t) from the following  a) y(s)=1s2(s2+1) b) y''-y'=2t, y(0)=1, y'(0)=...

Q: 3. Note : m=0 a. Graph the following function: f (k) + 4 = 3-2x-m + 8 c. Expand logarithmic expressi...

A: Given: function f(x)+4=3-2x-m+8 m=0 f(x)+4=3-2x+0+8 ⇒f(x)=3-2x+8-4 ⇒f(x)=3-2x+4

Q: Use Karnaugh map to reduce the following Boolean expression then draw the digital circuits for the s...

A: Any Boolean expression can be represented in K-map (i.e. Karnaugh map). Here we have only 3 variable...

Q: 1. Find the linear regression 0.7 0.96 1.13 1.57 1.92 0.19 0.21 0.23 0.25 0.31

A: We are given the following data for which we need to do linear regression. X Y 0.7 0.19 0.96 ...

Q: Suppose the following data points are generated by a smooth function f(x): -1 -2/3 -1/3 0. 1/3 2/3 1...

A: Simpson's rule states that:∫abydx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn), where h=b-an...

Q: 7. The current gasoline price is $3.50 per gallon, and it is projected to increase next year by 4%, ...

A: Inflation : - can be termed as the general rise in prices of all goods and services, which in turn d...

Q: ㅎ P 100% Norma 2.

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

Q: new curved projection system for a small media room states hen you sit 10 feet from the center of th...

A: In this question, the concept of the length of the chord is applied. The length of the chord L=2rsin...

Q: 4 8. A = -3 -5

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Q: Ho We By the Same wayprove e that : X J, (x) V+1 xp

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Q: G. Solve in terms d Bessel 's functrm the followrng DES -3 •xy +7y +4xy =u (y=xu, Z= 2x)

A: Bessel's differential equation {\displaystyle x^{2}{\frac {d^{2}y}{dx^{2}}}+x{\frac {dy}{dx}}+\left...

Q: 1. r(t) = (3 sin t)i+ (3 cos t)j + 4tk

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Q: able test determine whether the follov r your answer. 2)2 8.

A: Introduction: The series an will converge if L<1 and diverge if L>1 where L is given by, L=lim...

Q: The open Newton-Cotes quadrature rules use equally spaced points that do not include the endpoints. ...

A: We will use basic knowledge of numerical analysis and quadrature formula to answer this question.

Q: plete the following tables of values to investigate below or at th un 0.6 07 0.05 0.995 0.9995 0.999...

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Q: 1.1 Use a calculator to calculate the following. Write your answer using the rounding instruction wi...

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Q: The number of solutions (x,y,z) belong to Z*Z*Z for the equation  X2 + Y2 + Z2 = 2100 + 15 is: a) i...

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Q: Estimate the value of , (1 – x- 4x + 2x) dx using 4- segment Trapezoidal Rule. O 1104.091 O 1516.875...

A: The given problem is to estimate the value of definite integral using Trapezoidal rule with n=4.

Q: Given the scalar functionf (x, y) = 2xy, calculate the line integral along the ellipse curve+ 1 from...

A: Here we have to find the value of the line integral of function f(x,y)=2xy alone the ellipse x29+y24...

Q: As = 8 6 4 A," = 1/3 - 1/6 /2 4 2 2 2 4 4 - 1 - ½ 5/6 1/3

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Q: c. Give the weight of your laptop in gram. What is its weight in ton? Give your answer to 2 decimal ...

A: This is a problem of physical conversion and counting.

Q: 4. Consider the following 1D heat equation: U = a 00 t where a is a real positive constant, subject ...

A: Since you asked only parts (c) and (d), i use the results of part (a) and (b) from the given questio...

Q: 1. х — е e

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Q: 2. Find Solution using Newton's Divided Difference Interpolation formula (x = 2.7)? X. f(x) 0.69315 ...

A: Newton's divided difference formula for 3 points can be defined as: f(x)=y0+(x-x0)f[x0,x1]+(x-x0)(x-...

Q: (e) Decide if the following arguments are valid or invalid. State the Rule of Inference or fallacy u...

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Q: Prove that every infinite set S contains a proper subset similar to S.

A: We have to prove that every infinite set S contains a proper subset similar to S. Let X=S Let X be a...

Q: 3. [(3t +r*)sin (21)dt /

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Q: Calculate the simple interest due on a six-month loan of $800 if the interest rate is 2.2% per month...

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