Simplify. Write your answers without exponents. 3 -- %3D 32 ? 3. 81 %3D

Q: (a) Suppose that a > and that the parabola with equation y = ax? +2 has vertex V. The parabola…

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Q: Determine whether the events are mutually exclusive or not mutually exclusive then find the…

A: Introduction: The mutually exclusive events are very important in the theory of probability. When…

Q: A. Find the general solution of the DE: y" - 2y' +y = 6e'

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Q: Evaluate the importance of social interaction during the problem-solving process.

A: The complete solution is in given below

Q: A triangle has two of its corners in (4, 0, 7), (0, 4, 7), and the third on the curve in space that…

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Q: Find the radius of convergence about r = -2 and interval of convergence of the series n2(x +2)" Зп +…

A: Given series is ∑n=1∞n2(x+2)n3n+1

Q: 7. (a) A computer is programmed to choose an integer between 1 and 99, inclusive, so that the…

A: Introduction: The probability distribution function is significant in random variable. It is the…

Q: Find the interval of convergence. 00 (x + 6)" Σ (n In(n))2 n=2 (Use symbolic notation and fractions…

A: Given series is ∑n=2∞x+6n(nln(n))2

Q: Find the value of

A: Introduction: The determinant can be thought of as a function with a square matrix as its input and…

Q: Let f(x) be a function that passes through five points (-5,–8),(-3,1),(0,–2), (4, –5),(6,7) ind the…

A: We can solve this using Lagrange's interpolation formula and newton interpolation formula

Q: 3 23) Give a counter example to disprove the foilowing Property ab = ac (modn) →6=C (modn) yb=C…

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Q: a) Draw a rectangle whose perimeter is greater than the value of the area in the space below. (use a…

A: formula perimeter= 2x length +2x width  area = length x width

Q: Give examples of fields containing 4, 8, 9, &27 elements.

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Q: Uindaterraind coefdicients y" t 4ytuy = (3+x)e"; yro)=2, y'6) =5 %3D

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Q: A triangle has two of its corners in (4, 0, 7), (0, 4, 7), and the third on the curve in space that…

A: Given corners of triangle are  x1,x2,x3=4,0,7y1,y2,y3=0,4,7z1,z2,z3=4,4,a2+7 where a is real number.

Q: lim [0, 1- 1/n] = [0, 1) lim [0, 1- 1/n) = [0, 1) %3D n-00 lim [0, 1+1/n] = [0, 1] lim [0, 1+1/n) =…

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Q: Formulate equations for these problems to find the solution using Gauss-Jordan Elimination of the…

A: Let stall sells x boxes of standard kiwi and y boxes of deluxe kiwi in a day. Given that, price of…

Q: Find the Taylor/Maclaurin series centered at c F(x) = coscos(pix), C = 0

A: Given , f(x) = cos(cos(πx)) ,centered at c=0 We know that a Maclaurin series is given by  f(x) =…

Q: Jenny wants to know the langth of a tunnel bult through a muntain. To de se, she makes the…

A: Given figure is

Q: ldéntities will prove useful in achie Exercise 12. Show that E, (T: – ¤) = 0 %3D | E (*: – µ)² = E…

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Q: a) State the time interval(s) when the object is moving: i) away from the origin ii) towards the…

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Q: Compute [x] and [x] for the following value of x. 32.999 32 [x] = 33 %3! %3D

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Q: Let u be a solution of the wave equation uu - 2u = 0. Pick four distinct characteristic lines two of…

A: Given: The wave equation, utt-c2uxx=0, of which u is a solution. Four distinct characteristic lines,…

Q: If A, B, and C are n x n invertible matrices, does the equation C-1(A + X)B¬ = In have a solution,…

A: Matrix multiplication and inverse of the Matrix , pre and post multiplication of the Matrix

Q: (-1)" n (k) {n+ (m) {r E Q : r² < 4} (0) {x E R: x < 0} :n e N} n

A: Note: Our guidelines we are supposed to answer only three subpart . Kindly repost other subpart as…

Q: Find the gradient of the function at the given point. f(x, y) = 2x + 4y2 + 1, (1, 5) Vf(1, 5) =

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Q: Problem 10 Solve the following problems following Polya's Four Step Method and employing the…

A: Given: Frosia brings prescriptions from the store to the neighborhood pharmacy.After a few…

Q: 1 S(2) =. (1+2z)

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: A medical researcher believes that the human immune system produces antibodies to a particular…

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Q: 10 Find the projection of u =-14 onto the -15 -4 -4 subspace W of R' spanned by -6 | and 6.

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Q: A colony of bacteria starts with 2000 individuals. The colony is exposed to a new penicillin-type…

A: (a) The average rate of change of a function f over the interval  is given by fa-fbb-a. At t=20 and…

Q: The base of a three-dimensional figure is bound by the y-axis and the curve x = -3y2 + 6 on the…

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Q: Give an expression that represents the ratio of the surface area of a cylinder to the surface area…

A: We have to give the expression that represents the ratio of the surface area of a cylinder to the…

Q: (e) You are advised that the relationship between unit price p, and the quantity q is dp given by…

A: Here in (c) we have to find dp/dq  And in (d) we have to find dp/dq at p =9

Q: 12x3 Find the power series for f(x) = in the form > an. (1 – x+)² n=1 - Hint: First, find the power…

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Q: 1 and 2 Suppose that sina=- <a<2t. V5 a and tan 2 Find the exact values of sin

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Q: Two fire towers are 6 miles apart on an east west road. From tower A, Freeda Fireranger spots a fire…

A: The diagram that depicts the position of the towers and the place of fire is as follows: First, we…

Q: Exercise. A curve C is described by the vector-valued function p(t) = (t, 4 – 21,² +2). Exercise.…

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Q: Let m, n e Zt such that gcd(m, n) = 1. Suppose there are M and N abelian groups, up to isomorphism,…

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Q: The coordinate (x,Y) of parical (maring alony the plane curve di F eny Hium (t). cre given by. 9+2X…

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

A: given ODE x2y''+x2y'-2y=0             ...i solve this ODE using frobenius method

Q: Problem1 : For values x=[ 1:1:25] , plot y1= 2 x +1 and y2= x+ 0.5 1. Use different colors and line…

A: To plot: y1=2x+1 and y2=x+0.5 for values x=1:1:25   (1.) To use different colors and line shapes for…

Q: 0ダュクー = cos y

A: Note:- Our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Using the DIFFERENTIAL EQUATION METHODS, solve for the particular solution of the differential…

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Q: The length of a shadow of a building is 83 ft when the sun is 59° above the horizon. Find the height…

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Q: 6. Are these triangles congruent and if, so, for what reason? O Yes, SSS O Yes, SAS O Not congruent…

A: We want to find the both triangles are congruent or not.

Q: I.3 COMPLETE SOLUTIONS.

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Q: pth of water at the end of a pier väries ccurs at 5:15 A.M. with a depth of 6.4 meters. The low tide…

A: In this question, the concept of a trigonometric function is applied. Trigonometric Function The…

Q: 2. Consider the following linear programming problem: X + 2x, X +x, <3 X1 - 2x, 20 Max st. a.…

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