Consider the following problem: max(x + 1)(y + 1) {x,y} x + y< 10

Q: ivative of p = 2xz nes maximum in t 3k

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Q: Suppose that y= 2(1- e *). Compute y' and show that y' =2-y. y' =] 2-y%3D Does y' = 2-y? O Yes O No

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Q: if y3-3ax2+x3=0,then prove that y2+ 2a2x2y-5=0

A: Let dy/dx= y1 and d2/dx2=y2 And We will use the product rule of differentiation.

Q: Let h(x)=(x2−3x+2)/(−x2−4x+4,) what is h′(−5)? Do not include "h′(−5)=" in your answer. For…

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Q: If y = 5(1 - e-2x), compute y and show that y = 10 - 2y.

A: To compute y'

Q: Prove that c = 4 is the largest root of f (x) = x4 − 8x2 − 128.

A: Given function is, fx=x4-8x2-128. To find the largest root substitute x4-8x2-128=0 Let x2=u. Then,…

Q: What is the value of f(2) for the polynomial x ^ 3 + 3x ^ 2 - x + 1 ? What does this mean about the…

A: Here, fx=x3+3x2-x+1

Q: Use the IVT to prove that r-5x2 + 2x = -1 has a solution. %3D

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Q: if y3-3ax2+x3=0 ,then prove that y2+2a2x2y-5=0

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Q: The average pollen count in a certain city on day x of the pollen season is P(x) = 6x − 0.2x2 (for…

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Q: Let A = %3D {x €N|2 < x < 7|} . What is n(A)?

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Q: Find all solutions of x2 - x + 2 = 0 over Z3[i].

A: Given: Z3i=a+bi|a,b∈Z3       =0, 1, 2, i, 1+i, 2+i, 2i, 1+2i, 2+2i We have to find all solutions for…

Q: If f(x) = 3x — 7, find the image of 2 and the preimage of 2

A: Given: fx=3x-7 To determine: Image &amp; pre-image of 2.

Q: Evaluate: x²dx 1. - 3 (x²+16)7

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Q: Find k such that f(x) = x4 - kx3 + kx2 + 1 has the factor x + 2.

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Q: Find the maximum of f (x) = 4x – 1.8x? + 1.2x³ – 0.3x* using Quadratic interpolation (xo = 1.75, x1…

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Q: Find real zero of f(x) = x* – 2x³ – 4x² + 4x + 4 within TOL = 10-5 by following methods:

A: First, plot the curve for f(x). Use the graph to find a real zero as mentioned in the question.…

Q: The base of a three-dimensional figure is bound by the semi-circle y = √4x². Vertical cross sections…

A: In the figure, the strip shows the width of the rectangle perpendicular to x-axis.

Q: 4. Let X € R"xm. Show that x™x >0.

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Q: {x0.5,x-1/3}

A: I am attaching image so that you understand each and every step.

Q: 1 Determine k such kx -4x+==0 that has real and different solutions.

A: A quadratic equation ax2+bx+c=0 has real and different solution if b2-4ac&gt;0

Q: 4.9 (a) Evaluate the polynomial y = x – 7x + 8x – 0.35 | at x = 1.37. Use 3-digit arithmetic with…

A: Answer for sub question a: First determine the powers of x needed for evaluating the polynomial.…

Q: ind the Wronskian of: 18x - 6 18x + 6 6x - 18 6x + 18 f₁ = x² - 6x f₂ = x² + 6x f3=x²-3

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Q: Does S = {x² + 1,x² – 1, 2x – 1} span P2?

A: we know dimension of P2 is 3 so any set which span P2 must have at least 3 elements. here given set…

Q: The graohg of the funcation f(x)=ax^2+bx+c has vertex at (1,4) and passes(-1,-8). Find a,b, and c

A: Given equation f(x)=ax²+bx+c has vertex at (1,4) and also passes through (-1,-8) To find a,b and c

Q: If y3-3ax2+x3=0,then prove that y2+2a2x2y-5=0

A: Solution of this question is

Q: Prove that for x&gt;0 the inequality 1+2lnx≤x2 is true.

A: Inequality given in the question is: Consider the function; f(x) = 1+2ln(x)-x2 Let us find critical…

Q: (a) Show that (x2 + v2x + 1)(x² – v2x + 1) = x* + 1.

A: Given that: (x2+2x+1)(x2-2x+1)   NOTE: As per our answering guidelines, we can only answer 1…

Q: Compute A−2 two different ways and show that the results are equal.

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Q: termine k such kx2  _ 4x + 1/2 + 0 that has real and different solution

A: To determine the value of k such that the below equation has real and different solutions.…

Q: Prove that the real part of is constant for -n < 0 < n z+2-i

A: Let  z = a+ib

Q: Find a positive number x such that the sum of 9x and is as small as possible. x = Does this problem…

A: Let, the sum be denoted by f(x) So, f(x) = 9x + 1/x  So, f'(x) = 9 - 1/x² &amp;, f"(x) = 2/x³

Q: Suppose that X is a (A = e-100, p = 3e-100)-BCP. %3D What is P(X(1)X (2)X(3) = 4)?

A: Correct answer is 4.

Q: Compute A−2 two different ways and show that the results are equal.

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Q: (2) Determine k such kx² – 4x +- = 0 that has real and different solutions.

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

Q: V21. Show that there exist constants M and N such that M||x||| < ||||2< N ||x|| -

A: Given ||x||1=∑i=1n|xi|=|x1|+|x2|+...+|xn|       ||x||2=∑i=1n|xi|2=|x1|2+|x2|2+...+|xn|2 Now we have…

Q: The Intermediate Value Theorem can be used to prove that the equation x2 – x – 6 = 0 has at least…

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Q: Find the interpolating polynomial y = ax² + bx+c that passes through all three of the following data…

A: Given: The points are 1,13, 2,15 and 3,19. To find: The interpolating polynomial y=ax2+bx+c. All the…

Q: What does it mean to say that c is a zero of P? Give two equivalent conditions that tell us that c…

A: If c is a zero of a polynomial P, then c is the point where the function crosses the x-axis.

Q: Locate the highest real root of f(x) = 2x3 – 11.7x² + 17.7x – 5 a.) using fixed point iteration…

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Q: Suppose that 4 ≤ f '(x) ≤ 5 for all values of x. What are the minimum and maximum possible values of…

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Q: (2) Determinek such kx - 4x+- =0 that has real and different solutions.

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Q: Prove that the equation x- 15x +k = 0 has at most one root in the interval [-2, 2]. Hint: You'll…

A: Dear friend,  if you have any other query about this problem, then please tell me about your query I…

Q: 3 By applying the Intermediate Value Theorem choose the interval over which x4 = 7x3 - 5 will have a…

A: The given problem is to find the interval for the given function that which the intermediate value…

Q: Find critical number of g(x) = x^2 - 8x +9

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Q: 2. Find a quadratic spline function having the nodes -1,0 and 1, and satisfying the table -1 0|1 5…

A: This question is about application of numerical method to obtain quadratic spline

Q: The following data represents the relationship between the drying time of a certain varnish and the…

A: Data represents the relationship between the drying time of a certain varnish and the amount of…

Q: 6. Find all real solutions to V3x +1+ V9x + 4 = 11. Show your work!

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Q: Find 2 for all of: 1- y = xvInx 2- y = 3 x(x-2) x²+1

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