b) Determine the gradient of each side of the triangle c) Using your answers in a) and b), justify that this is a non-right angled Scalene triangle Page 10 of 11

Q: 10. The x-axis and y-axis form the axes of two right circular cylinders with radius = 1. Find the vo...

A: Given: The axes of two right circular cylinders with radius 1

Q: Solve for the following systems of linear equations by Cramer's Rule 3x2 + 4x3 14.8 4.x1 + 2x2 – 3 =...

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Q: Determine (without proof) the suprema and infima of the following sets: (a) {n € N : n² < 10} (b) {n...

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Q: Find the area of the region that lies inside the r = 2 + cos 2θ but outside the curve r = 2 + sin θ

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Q: Use Pascal's Triangle given below to find the following: 6. 3 8 1 1 1 2 1 3| 3| 1 4 6 1 15 | 10 | 10...

A: We have to find the value using Pascal triangle.

Q: Joy invests a total of $13,500 in two accounts. The first account earned a rate of return of 13% (af...

A: as per our company guideline we are supposed to answer only one qs kindly post remaining qs in next ...

Q: 3. Calculate for one real root of tan x = 4x with xo = 1.2 up to four decimal places using the Newto...

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Q: Determine the day of the week on which January 1, 2020, will fall.

A: We have to find the day on week for the given date.  

Q: Find general solution One-dimensional heat equation 2 d²y du = C2 dx? dt

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Q: POSSIE What is the correct table for the following: {(3,4), (9,1), (10, 5), (2, 15), (8,4)} {(8, 22)...

A: Relation : Let us consider the set A and B then the relation between set is represented as R=(x,y)|x...

Q: The function f: X → Y is given. We define the relation R on the set X by the formula (x R y) ⇔ (f (x...

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Q: 1. [15] Let the values of a function f be given as in the following table TABLE 1. Some data -1 -0.5...

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Q: Using truth tables examine whether the following statement patterns are tautology, contradiction or ...

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Q: C(4) А(3) F(5) D(2) H(2) B(5) "G(6) 3 E(3) The diagram above is the activity network relating to a b...

A: A network diagram is used to schedule the activities in a project. It describes the precedence relat...

Q: PART I. EVALUATING LIMITS Construct a table of values to investigate the following limits: 10 a. lim...

A: As its not specified which sub-parts to be solved, we have solved first three sub-parts as per our p...

Q: The intercept of a straight line on the x - axis is -3. If (5, 2) is a point on the straight line, t...

A: Given points of straight line are (-3, 0)  and (5, 2)

Q: Find the centroid

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Q: etermine whether the following statements are true or false and justify your esponse. -3x d²y dy y =...

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Q: While calculating correlation coefficient between two variables x and y from 25 pairs of observation...

A: given    n = 25 ,  to get the correct result we subtract the incorrect values and add the correspond...

Q: Find the limit of the function f(x) = x²esin(1/x) as x approaches to zero.

A: To find limit of function f(x)=x2esin(1/x) as x approaches to 0. (Using Squeeze theorem)

Q: Compute the Taylor polynomial T5 (x) for f (x) = cos(x) around a = 0 and use the Error Bound to find...

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Q: let (Riae) be aring of real numbar's andf fg Eply R. Such That f= to,,-1,22010-) F-lo-してソの (hoラ-20 )...

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Q: A tautology is a formula that is always true for every value of its propositional variables. A contr...

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Q: -2.1 1- e* Use Simpson's rule to approximate -dx. x² + 2x – 1 1.2

A: This is a problem of numerical Integration.

Q: x² iy? Find points where f'(z) exist x+y Given f(z) %3D x+y

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Q: 5.) Find the volume of the solid in the first octant bounded by 2x + 3y + 4z = 12 and the coordinate...

A: The given problem is to find the volume of the solid in the first octant bounded by given plane and ...

Q: e u(n)

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Q: Compute the Inverse Laplace of the following Laplace Transforms. Show complete solution F(s) = 3 - 1...

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Q: 1. Prove that the Taylor series expansion for the function f(x) =x' about x 1 is reduced to x'.

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Q: Let k be a positive integer. Use induction to prove that (k −1)n+1 + k2n−1 is divisible by k2 −k +1 ...

A: To prove that k-1n+1+k2n-1 is divisible by k2−k+1 for every positive integer n using Prinicpal of ma...

Q: Solve this ODE using the Frobenius Method x²y"+x²y'-2y = 0

A: First we find the regular singular point of given equation then write power series solution and find...

Q: Determine whether the following matrices are in echelon form, reduced echelon form or not in echelon...

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Q: dy 4 – 5y = e-3t sin(4t) ; y (0) = 3, y (0) = 10 dy %3D - dt?

A: We solve the given IVP  y"-4y'-5y=e-3tsin(4t)........(1) y(0)=3, y'(0)=10.......(2)

Q: Find the present value of an annuity-immediate which pays 1 at the end of each half-year for five ye...

A: solution:   Given : An annuity-immediate which pays 1 at the end of each half-year for five years, i...

Q: 2. x + 5y +15 z + 35 w + 70t = 0 X + Y + z + w +t =1 X + 2y + 3z + 4w + 5t = 0 2x + 6y + 12z + 20w +...

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Q: 2. Use Laplace Transform to find (f * g)(t) if ƒ(t) = e=t and g(t) = sin(t).

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Q: Ld by using Evaluate 1+x2 (i) Trapezoidal rule, vie (üi) Simpson's 318 rule, (iv) Weddle's rule and ...

A: Solving the above question using numerical integration method

Q: If p times tne pth term of an A.P. is equal to q times the qth term of the same AP., then how that i...

A: Given that If p times the pth term of an A. P. is equal to q times the qth term of same A. P.  To sh...

Q: If the pth, qth and rth terms of an A.P. are a, b and c respectively, prove that : a(q – r) + b(r – ...

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Q: Additional Activities DIRECTIONS: Read each problem carefully and solve it using implicit differenti...

A: Given: The spherical balloon is inflated with gat at a rate dvdt=800cm3/min The speed of the ballon ...

Q: A small cannonball with mass 9 kilograms is shot vertically upward with an initial velocity of 130 m...

A: we have m=9, v=130, k=0.0025, g=-9.8

Q: To test the series for convergence, you can use the P-test. (You could also use the Integral Test, a...

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Q: 3- x = cos t ly= sint +t cismin yüzey alanı aşağıdakilerden hangisidir? 0<t< le verilen parametrik e...

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Q: 4.x dx 6.4850 O 6.4848 O 6.4849 1.4840 O O

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Q: 4. Solve the particular solution of y" + 3y' + 2y = 6et, y(0) = 1,y'(0) = 2, using b. Laplace Transf...

A: Solve the differential equation, by using Laplace transferom

Q: Use Stokes's Theorem to evaluate JCF• dr. Use a computer algebra system to verify your results. C is...

A: To evaluate the integral ∫F·dR using Stokes's theorem, where F=6xzi^+yj^+6xyk^, and S: 25-x2-y2.

Q: 8. (i) For what type of square matrices A will the algebraic system Ax = 2x have solutions other tha...

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Q: Use the sample space shown in the figure to find the probability for the experiment of rolling a pai...

A: Given:   Use the sample space shown in (Above) the figure to find the probability for the experiment...

Q: Q6) Using the Newton's forward difference interpolation formula evaluate f (2.05) where f (x) x, usi...

A: For the solution of the problem follow the next steps.

Q: Evaluate the given integral by changing to polar coordinates. x² - y² dA, where D is the region boun...

A: