MODELING WITH MATHEMATICS You and your friend are standing on the baseline of a basketball court. You bounce a basketball to your friend, as shown in the diagram. What is the distance between you and your friend? Round your answer to the nearest tenth JAR The distance is about feet

Q: Network Analysis The figure shows the flow of traffic (in vehicles per hour) through a network of…

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Q: Find σ(n) if n = 2^k-1 (2^k - 3) where 2^k - 3 is prime

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Q: 14 16 18 20 22 22 24 26 28 2 14 Pizza Prices Around Town

A: In this question, the concept of line of best fit is applied.

Q: Determine whether there is a relative maximum, a relative minimum, a saddle point, or insufficient…

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Q: Try this: Solve the following DE. 2. 1. (3 siny 5x) dx + 2x²cot ydy = 0 2ydx + x(x² Iny-1)dy = 0 3.…

A: Please post multiple questions separately, as per policy first question is being solved.1. The given…

Q: Q3) for what values of (m) do the line ( y = mx ) and the curve ( y = ²+1) enclosed a region ? find…

A: By applying the integral calculus, one can evaluate the area that is bounded by curves and lines.…

Q: What is REF of C? [1 4 L7 C = I -31 -8 0

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Q: Prove that 10585 and 294409 are Carmichael numbers.

A: We have to prove that 10585 and 294409 are Carmichael numbers.

Q: Invert the Z-transform. X(z) z(2²-22-1) (2²-4z + 3)(z-2)

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Q: 3. Test the convergence of the series an O Converge O Diverge O Fail test 100 2n=1 n*+2n²+1 75 +3

A: We will check whether the given series convergence or divergeent .

Q: Determine the length of the third side of the right triangle. Write the answer as a simplified…

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Q: Determine the length of the third side of the right triangle. Write the answer as a simplified…

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Q: 2. Table below show cost of transportation for XYZ firm: Supply, Demand and Cost are show at point…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A ball is launched straight up in the air from a height of 5 feet. Its velocity (feet/second) t…

A: In this question, the concept of Integration is applied. Integration Integration is a method of…

Q: Find the standard deviation for the grouped data. College Units Frequency 0-24 4 25-49 3 50-74 6…

A: Here we use simple method which is used to find deviation

Q: An artist can complete 11 drawings each month. Currently her portfolio contains 50 drawings. How…

A: An artist can complete 11 drawings per month. Currently, there are 50 drawings in her portfolio.…

Q: Choose the correct solution the following differential equation * x²-x+1 y(1) = // x

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Q: Two planes with equations x - y + 2z=4 and x + 2y - z = -5 intersect along a line L. Determine the…

A: Find the intersecting line L. For any random point on the line L, we can find the general distance.…

Q: Q3A)Find normal line and parallel plane to the function f(x, y, z) = x²y²z² - 4 At point (1,-1,2).

A: We have to solve given problems:

Q: what is the result of the lirectional multiplicaciohof herectors =3₁-1₁2] [ 4.2.1]

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Q: For the function below, find (A) f'(x). (B) the partition numbers for f', (C) the critical numbers…

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Q: Ο Ο Ο 12 Identify the simple graph. e₁ (α) (b) (c) U (a) e vo (b) τ Δ U1 Ut (c)

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Q: 2. Solve the outgoing signal problem Utt- c²uxx=0, x > 0, -∞0 <t<∞0; ux(0,t) = s(t), -∞0 < t < 00,…

A: From The above details we have.

Q: For each problem below write an expression in the form ax + by + cz in the first blank, then choose…

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Q: 4- For the equations shown below, use the simplex method and find the values of the key column for…

A: Given:MaxP=10X+10Y+30ZThe constraints are300X+10Y+20Z≥30020X+10Y+20Z≥10050X+40Y+30Z≥80We have to…

Q: 2. Solve the outgoing signal problem Utt-c²uxx=0, x > 0, -∞0 <t<∞0; ux (0,t) = s(t), -∞0 <t< 00,…

A: From the above details we have,

Q: An artist can complete 11 drawings each month. Currently her portfolio contains 50 drawings. How…

A: Introduction: To make it less hard or difficult; to make it simpler or easier To condense an…

Q: Write each of the following sets in correct roster notation: (a) {n % 5 : x ∈ N}

A: Given (a) {n%5 : n ∈ℕ}   To Write Set in roster notation.

Q: Suppose that f: R2 → R is a function given by y³ x² + y² f(x, y) {+ for x = y = 0. Show that f(x, y)…

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Q: Q3: Answer the following: a) Use Cauchy-Riemann equations to test whether f(z) is analytic. Here…

A: Here given function  fz=z+iRez-eizorfz=z+iRez-cosz-isinz   .......1 Now consider z=x+iy Then…

Q: 2. Solve the outgoing signal problem Utt- c²uxx=0, x > 0,- -00 < t < ∞0; ux (0,t) = s(t), -∞0 <t<…

A: From the above details we have,

Q: Q3A) Find normal line and parallel plane to the function f(x, y, z) = x²y²z² - 4 At point (1,-1,2).

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Q: Choose the correct sum of the following geometric series Σn=09 (9)" O Option 2 O Option 4 O Option 1…

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Q: Find distance from point A(1,2,1) to the plane containing the three points B(2,2,4), C(−1, −2, −3) &…

A: Introduction: Since you have asked multiple questions, we will solve the first question for you. If…

Q: 6 Determine which of the two drawings, (a) and (b), represents the graph G. 1₂ e2 V3 €4 eg es U7 US,…

A: We find a required drawing of graph G.

Q: Four boys were playing marbles; their names were Gary, Harry, Iggy, and Jack. One of the boys had 9…

A: Gary shot before hary and jack.  Implies Gary &lt;  Harry/ Jack Jack shot before harry implies…

Q: Find the general solutions of the system. 110 3 0 1 1 0 001 1 000 1 (t) = [ X

A: We solve by eigenvalues and eigenvector method.

Q: Suppose x represents the number of tons produced daily of interior paints and y represents the…

A: Solution:

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: 5 Given A=-2 -2 01 -2 6 2 and X=X₂ [X3] 1 0 2 7J show that XTAX = 27, suggest that 5X +…

A: Given- Given A = 5-20-262027 and X = x1x2x3. To Show- Show that XTAX = 27, suggest that 5x12 + 6x22…

Q: B)Prove (cose + i sine)" = cosne + i sin ne

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Q: Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2 + cx + d satisfies the given…

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Q: A 5000 m² rectangular area of a field is to be enclosed by a fence, wi inner fence build across the…

A: Introduction: The formula for the area of a rectangle with length l and width y is given by, area=xy…

Q: Q3A) Find normal line and parallel plane to the function f(x, y, z) = x²y²z² - 4 At point (1,-1,2).

A: The given problem is to find the normal line and parallel plane equation for the given function at…

Q: sin20 B)Evaluate the integrals: i) f/2 inzerdrde, ii) ¹/2 ¹/² finx ₂² siny dz dy dx . 0

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Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

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Q: 3. Compute the tangent plane at u = 0 and v=0.

A: Introduction: The formula of the tangent plane of the function f(x,y) at the point a,b is given by,…

Q: 1. Solve the inverse matrix of the following using the 2 methods. [1 2 5 i. 0 -1 2 L2 4 11

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: b) (D² +₁²) x = a sin(n+ +2), where x= D X = O X=DX = 0 at t=0

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Q: 5 37) [D + 1 LD + 3 Solve the following simultaneous linear D.E. 2D + 11 et +10) = {²} 4D + 111 -2t

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