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Q: Find the flux of F across S, F.N ds where N is the upward unit normal vector to S. F(x, y, z) = 8zi…

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Q: The altitude of a triangle is increasing at a rate of 3 cm/min while the area of the triangle is…

A: Given that  The altitude of a triangle is increasing at a rate of 3 cm/min The area of the triangle…

Q: A contour map for a function f is shown. Estimate the value of fy(4, 29) 40 400 30 320 240 20 160…

A: Given: Contour map for a function f is shown below: To find: fy4, 29.

Q: 1. Show that S, has the presentation (x, y|x² = y = (xy)² = 1). %3D

A: The symmetric group S3 is given as S3=I, 1 2, 1 3, 2 3, 1 2 3 1 3 2 where  I=123123, 1 2=123213, 1…

Q: 4. Write the following statement symbolically and then prove it: For all real mimbers a and b, if 0…

A: Here given statement, "for all real numbers a, b with 0≤a<b then a2<b2." Symbolically, it can…

Q: The graphs of ƒ (x) and g(x) = f (x + k) are below. What is the value of k' 2 4 5 6 789 -2 -1 sin…

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Q: Use induction to prove that for every n E N, we have 5" = 1+ 4n (mod 8)

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Q: 39. If the scale factor of two similar solids is 5:13, what is the ratio of their corresponding…

A: We use properties of similar solids.

Q: Raph has gone missing, and his brothers are arguing about who should go and find him. They agree to…

A: For Borda count method For 1st choice = 3 point For 2nd choice = 2 point  For 3rd choice = 1point

Q: HW Solve the fallowing first order 0E. -3= \-3+メー

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Q: A bucket that weighs 5 lb and a rope of negligible weight are used to draw water from a well that is…

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Q: In Exercises 1 and 2, a harmonic oscillator equation for v(t) is given. Using the guess-and-test…

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Q: 교꾸가고 (a, y) + (0,0) (x, y) = (0,0) f(x, y) = x2+y2 is discontinuous at (0,0).

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Q: 1. Sketch the graphs of v = 2x - x2 and y = - x. Shade the region bounded by the curves, Find the…

A: Given, The sketch graph of; Y = 2x - x² Y = - x The volume of the solid that is formed by revolving…

Q: 5. Write the following statements symbolically and then demonstrate whether they are true or false.…

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Q: QUESTION 2 Michelangelo buys a lot of pizza for himself and his three brothers, so he has procured a…

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Q: An inverted pyramid is being filled with water at a constant rate of 55 cubic centimeters per…

A: Given: dVdt==55, side length b0=4 and height h0=11. To find: dhdt, when h=2.

Q: Find the roots of the equation via Secant Method using Excel. Attach the solution in excel file.…

A: See Below

Q: Calculate the flux of the vector field F = (0, z, y) through the surface E: 2u?v? E:{y= u with…

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Q: the topology 7, = {X,ø{a},{b,c}} 1; = {Y.ø.{u}} B={X ×Y,6.{(a,u}…

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Q: Integrate (x + y) dA, where R = {(x, y):0 < x < 2, x < y < x + 4}. Use the transformation x = 2u and…

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Q: The length of the major axis of an ellipse with foci at (-1, 2) and (3, 2) that passes through the…

A: Here we use basic defnition of major axis

Q: The figure below has a polnt marked with a large dot. First, reflect the figure across the x-axis.…

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Q: 3. Prove that 0 divides an integer a if and only if a 0.(In your proof. you can freely ILNE your…

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Q: Find the curvature and the radius of curvature at the stated point. r(t) = 7 cos(t)i +3 sin(t)j +…

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Q: Answer the given system of linear equations using INVERSE OF A MATRIX (using Determinants).

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Q: Air conditioning is turned off in an empty building. Initially, at 6PM, it has an interior…

A: We will use newtons law of cooling /  .According to newton's law of cooling '' temperature  of a…

Q: Must a subspace of a hausdorff space be hausdorff? If it must be hausdorff then prove it. If it need…

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Q: Let P2 be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned…

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Q: Graph the vector function 7(t) = (t3 + 1)ĩ + tj:

A: Given vector function is r(t)=(t^3+1)i +tj

Q: Use the graph to compute the quantities asked for. ... -3 -2 A. lim Ax) = %3D B. lim (x) = %3D

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Q: det (NT) is sPace Toflogecu! and T=0U{un}such that 7Show that (N, Cl is compact slase

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Q: Solve the right triangle using the given information.   a=76.9 ​yd, b=40.2 yd The length of c is…

A: Given that a=76.9 ydb=40.2 ydc=86.8 yd To find the angle A.

Q: (a) f(t) = 2t - 3 (b) f(t) = 5t2 + 4t – 3 1. 2. fe)--2* +을 f (t) t5 2t* + 15 (a) f(t) = 5e 3t (b)…

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Q: What is the perimeter of a cross section perpendicular to face QRST of the cube shown below? R. 4 M

A: Solution :-

Q: Explain each of them with a easy understanding so people can understand fast and easy. Also prove…

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Q: Consider the following linear programming problem. Maximize P = 4x + 5y + 6z subject to the…

A: Given: The linear programming, Maximize P=4x+5y+6z subject to constraints…

Q: Find the maximum profit P if C(x) = 10 + 56x and p = 92 – 2x. O A. $142.00 O B. $152.00 OC. $166.00…

A: Given  C(x) = 10 + 56x p = 92 - 2x

Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 1 meter per minute…

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: H.w: Find the LT of the following functions: 1- f (t) = t sin²at 2- L[[, e2t cos 5t dt]|

A: We have to find the Laplace transform for the given functions.

Q: A farmer has 1800 m of fencing to make two equal rectangular pens that share a common side.…

A: We have to find dimensions of rectangle for which area is maximum.

Q: 10 (2). Let f be a function that admits continuous second partial derivatives such that Vf (x, y) =…

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Q: Consider the two systems of differential equations dr (1) = 0.3z - 0.1ry = 0.3r - 3ry dt dy dt =…

A: Note: As you asked only Question 2 part(i) so, I answered here only part(i).

Q: • A body having a temperature of 100°C was placed in a room where the temperature is 5°C. At the end…

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Q: You are given the dollar value of a product in 2016 and the rate at which the value of the product…

A: Introduction: A linear function is defined as a function with one or two variables and no exponents…

Q: 10. A sequence is given by the recursive definition bn = 4bn-1, bo = 3. %3D a) Find b1, b2,b3 b)…

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Q: Use the Divergence Theorem to evaluate F.N dS and find the outward flux of F through the surface of…

A: The given vector field is F(x,y,z)=x2 i +y2 j +z2 k and S: x=0, x=a, y=0, y=a, z=0, z=a.  To…

Q: Find the sum of the following in finite Series if it is Converges (lo0) (100)3 l00 %3D (100)" n-,…

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Q: Calculate the present value PV of an investment that will be worth $1,000 at the stated interest…

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