How do you create Pascal's Triangle?

Q: Problem 1: Find the equation of the parabola with focus at ( 1, 1) and x = 7 as directrix.

A: Given, Focus = (1,1)  Directrix :  x=7 To find : Equation of parabola  

Q: f (2) %3D и + iv: (() и (х, у) %3D 2х - 2ху (:::

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Q: Find a parametrization of the line in which the planes x- 2y - 2z = 3 and -3x + 3y + 3z = -6 interse...

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Q: Solve the Bernoulli's DE: y' = y - xy3e2X.

A: Given differential equation is y' = y - xy3e-2x

Q: Check if the field is conservative, if it is, calculate by the Fundamental Theorem of Calculus for L...

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Q: Need e) only use product rule 3. Differentiate. a) M(u) = (1- 4u²)(u+2) b) g(x) = (-x+3)(x – 10) ) p...

A: (e) Given that  bk=-0.2k+42-k Since bk is a function of k, we have differentiate the function w.r.t....

Q: Find the Laplace Transform f (æ) = e Answer: 2. a. sta 1. b. 1 C.

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Q: The partially completed table below shows the ten basic solutions to the following e-system. What is...

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Q: Find the solution of the system of linear equation and the value of the determinant of its coefficie...

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Q: Given the complex numbers z, = 2 + j0.51, zz = -0.4- j0.8, and z3 = 3+j3 find; |21Z2 (Z – 23) + Im(Z...

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Q: Solve the equation: [#]+1=1 x – 3

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Q: Use the third Taylor polynomial P3 (x) for f(x) = x² + ln x about xo = 1 and evaluate f(2). 1 29 10 ...

A: We have , f(x) = x2 + ln x   Here , x0 = 1 A Taylor polynomial is given by ,  f(x) = ∑k=0∞fk(x0)k!x ...

Q: What is the image of (-6,0)(−6,0) after a dilation by a scale factor of \frac{1}{3}31​ centered at t...

A: Given point: (-6,0) Dialation scale factor is 13

Q: luis mahia purchases a porsche boxster for $45,600 and finances the entire amount at an annual inter...

A: Given Luis mahia purchases a porsche Boxster for  $45600 and finance the entire amount at an annual ...

Q: The angle 0 is in standard position, passing through the point (12, -35). What is the measurement of...

A: Given point: (12,-35)

Q: Find L{f(t)} using the First Shifting Theorem. Note: a, b, e, w, k and n are constants. 1. -kt 2. L{...

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Q: Maximum: none; minimum:

A: Option B is correct , we will use lagrange multipliers

Q: ) Let T: P1 (R) -› P2 (R) be the linear transformation defined by T(2t + 1) = t^2 - 1 and T(2t - 1) ...

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Q: Question1. Find the vertex of the parabola, y = f(x) = -3x2 + 6x + 3. %3D Inntationa for

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Q: 8. The monthly payment for a $5,000, loan at 6% for 2 years is $221. The monthly payment for a $5,00...

A: In scenario 1, a monthly payment of $221 is being done every month for 2 years, that is., 24 months....

Q: Using Reciprocal Substitution dx For S xVx²+2x-1

A: This is question related to reciprocal substitution in integration.Solution is given below.

Q: Consider the function fix) - sin x, Complete the table below and sketch its graph. x011/6 1/2 5n/6 7...

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Q: Complete the table. Use powers of 16 in the top row. Use radicals or rationa numbers in the second r...

A: Given:   1632   16-14   116   14   1

Q: or disprove : [nx] =n [x] %3D for all Positive integers n > 2

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Q: Problem 30: Compute the eccentricity of the curve r= 1+ sin 0 A. 0.867 В. 1 C. 1.414 D. 0

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Q: One angle of a triangle is equal to the sum of the other two. Show that the sum of two exterior angl...

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Q: After exploring for a while, determine which of the following properties are always true by dragging...

A: Given: A square with side 4.93

Q: Use the correet fransformation to Find the solution of the Problem below. 一00<Xく00 0< Y<1 ulx,0%=H(x...

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Q: Use three-point midpoint formula to evaluate the first derivative of y = cos(x) at x =; using a valu...

A: The three-point midpoint rule to calculate f'(x) is f'(x)≈f(x+h)-f(x-h)2h, where h is the step size.

Q: post office sells 4-cent sheep stamps and 2-cent sunset stamps. Cole bought 5 stamps spent exactly 1...

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Q: Solve (D5 – D4 + 4D³ – 4D²) y = 32 cos (2a) – 20e-* solve the DE

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Q: th 6) Let t, be the k" triangular number. Prove that t, + 4 k + 10 is k k also triangular.

A: It is given that tk is a triangular number that means tk=k(k+1)2. To prove: tk+4k+10 is triangular. ...

Q: 3. Differentiate. a) M(u) = (1-4u²)(u+2) b) g(x)= (-x+3)(x – 10) ) p(n) = (5n+ 1)(-n² + 3) d) A(r) =...

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Q: Obtain the solution set of z* – j3z? – 2 = 0. (Hint: factoring and quadratic formula)

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Q: What is 40 Cb+ 40 C6+1 expressed as a single term in the form n Cr in Pascal's Triangle? O 80 C2b+1 ...

A: Solution:-

Q: A well has an initial rate of 550 STB/D and an initial decline rate, D0, of 0.02/month. Determine th...

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Q: Use Linear Approximation to estimate Af f (2.05)-f(2) for f(x) = %3D x+I (Use decimal notation. Give...

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Q: Write the e-system obtained via slack variables for the given linear programming problem. P = 6x2 Ma...

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Q: Let u(x, t) = $(x)T(t) assume that this rod is of length 1 and has non-homogeneous Robin boundary co...

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Q: Write the e-system obtained via slack variables for the given linear programming problem. Maximize P...

A: Given that,   Maximize  P=6x_1 + 7x_2 Subject to     5x_1 + 9x_2 &lt;=20                        x_1,...

Q: y9) + 2ylII +2yll = 3e² + 2xe¯² + e² sin x

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Q: (c) Suppose that A is an n x m matrix full of zeros. Derive the More-Penrose pseudo-inverse of A. Ex...

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Q: sequences of differences.

A: The degree of polynomial is the number of difference to get a constant row.

Q: let frxi) = V Sm (x) CosIY) lim feny) - ? (X)→(0,の Discuss your solution .

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Q: Use the divergence theorem to find the outward flux (F n) ds of the given vector field F. F- xy'i + ...

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Q: Find the point at which the line meets the plane. x= -3+5t, y= -2+4t, z 3t, x+y+z= -5 The point is (...

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Q: INSTRUCTIONS: Determine whether the following symbolized arguments are valid or invalid by identifyi...

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Q: zdz ,Z = (2z+1)3 For f O z = u^(4/3) O z = u^(1/3) O z = u^3 O None of the choices O O

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Q: An item has a tag price of $410.50 and is subjected to a promo discount of 35% upon cash payment. If...

A: Given , Tag price = 410.50 dollar  Discount = 35 % paid = 6×50 dollar = 300 dollar

Q: z2 + 2z + 1 For questions 6,7 & 8: use I = o dz, C traversed CCW z2 +z Question 6) C: |z - 1| = 2

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