Let f: A→ X X Y be defined as f (a) = (f₁ (a). f2 (a)) each a ≤ A, Then f is continuous if and only if the Hous

Q: f(x) = 8x³ +81x² - 42x-8 *no need to sketch

A: As per guidelines we are supposed to answer only one question. Here question 6) answered.

Q: Find the root of the equation x3-2x-5= 0 by muller's method take 1,2 and 3 as initial approximation…

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Q: 7 Show that the propositions (p Aq) and p V¬q are equivalent. logically

A: We will construct the truth table to show the logical equivalence of given two propositions.

Q: A = 1²2 [2 3 B-15] в = 14 C D = = ONE 3 2 01 -3 -3 1 4 4 [-2-i 3 l-1 + i -1- il

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Q: Choose all the angles that must be congruent to 23 assuming that I, and le are parallel 4₁ 1₂ 4 3 6…

A: Line l1 and l2 are given the parallel lines and a third line intersected l1 and l2. Then by the…

Q: √1-x² Evaluate x²(x² + y²)² dydx. (evaluating this using rectangular coordinates is nearly hopeless)

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: 1 3 k Ť This function models the profit p, in dollars, for a company's new product as a function of…

A: From the graph, the graph can not reach the target $100,000 as profit for any least number of sales.…

Q: (-2)²¹ 8 n=1 nn a. Converge b. 0 c. Diverge d. Absolutely Converge is b O d O a O C O

A: Solution:-

Q: Find the directional derivative of f (x, y, z) = 2z²x + y³ at the point (2, 2, 1) in the direction…

A: The solution is given as

Q: Suppose that the function fis defined as follows. -2 if -2.5 <x< -1.5 -1 if -1.5<x<-0.5 f(x) = 0 if…

A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned,…

Q: 5: find the Fourier series of the following equation -X - 1<x<0 f(x) = 0 < x < 1 1<x<3 X 1

A: Fourier series in the interval a ≤x≤bfx=a0+∑n=1∞an cos2nπxL+∑n=1∞bn sin2nπxLWhere…

Q: Given that |a| = 20, find all left cosets of (a¹2) in (a).

A: This question from topic coset of group theory.

Q: Find the gradient of the function g(x,y) = xy at the point (5, -1). Then sketch the gradient…

A: Solution :-

Q: Set up, but do not evaluate, the integral for the surface area of the solid obtained by rotating the…

A: Given curve is y=6xe−3x. We have to et up the integral for the surface area of the solid obtained by…

Q: Can you give a scenario for e and f please?

A: The scenarios for given combinations are as shown below.

Q: Q7 The target thickness of aluminum sheets produced by a machine is 5 mm. A sample of 50 sheets is…

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Q: in a graph What is the chromatic number? And give an examples

A: Solution:- In a graph, no two adjacent vertices, adjacent edges, or adjacent regions are colored…

Q: Which of the following statements represent EXPONENTIAL functions? Check all that apply. The price…

A: Introduction: An exponential function is a mathematical function that can be used to a variety of…

Q: Bacteria grow in a certain culture at a rate proportional to the amount present. If there are 120…

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Q: For the first-order differential equation: = x² + 2y - 3:3 (0) = 7. Find da y(1) using fourth-order…

A: We will perform the two iterations of fourth-order Runge-kutta method to get the value of y(1). In…

Q: Find a function f(x, y, z) such that Vf is the constant vector (7,5, 4). (Use symbolic notation and…

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Q: If the determinant of a 5x5 matrix A is 2, what is the determinant of the adjoint of A? (A) 2 B) 4…

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Q: Find a real solution of the equations x²-5x+4=0 3xy²-10y+7=0 nitial approximation as (0.5, 0.5).

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Q: 11. Circle in the plane z = 1 with center (3, 2) and passing through the origin.

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Q: for 0≤t≤2, 3 fort≥2 f(t) = {1-3

A: To find the laplace transform of given f(t) we will use the definition of laplace transform and then…

Q: (13): p²+q²-2px-2qy+2xy=0

A: Q(13) Given the partial differential equation   p2+q2-2px-2qx+2xy=0 To solve it using Charpit's…

Q: A set of data has a normal distribution with a mean of 100 and a standard deviation of 15. Find the…

A: First we reduce the given normal distribution to the standard normal distribution using the formula…

Q: Determine angles a, banda...

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Q: Σn=1 (-2)²n nn a. Converge b. 0 c. Diverge d. Absolutely Converge is b O d O a C O

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Q: sin(²) En=1 is 18 √n a. 1 b. 12/12 c. Converge d. Diverge d O C O a O b O

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Q: EXERCISES: Find the absolute maximum and minimum of the functions on the given domains. 1) f(x, y) =…

A: Absolute maximum and minimum may be attained on the boundary.

Q: Given: 4ABC is an isosceles triangle where AB BC Prove m&BACmBCA

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

Q: Let p denote "He is wise" and let q denote "He is loyal." Write each statement in symbolic form…

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Q: Use the Simplex Method to solve for X1 and X2: Objective function: Maximize z = 4x₁ + 3x₂ Subject…

A: We have to solve for x1 and x2 using the simplex method.

Q: Use the fact that y = 4 + 2 and y = log4 (x - 2) are inverses of each other to find dy for y = log4…

A: Inverse function theorem if y=g(x) is the inverse of f(x), then g'x=1f'gx   g′(x)=1f'(g(x)).

Q: f(x) = x² + 3

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

Q: Let A = {1, 2, 3, 4, 5). Determine the truth value of each of the following statements: 2. 1. (3x A)…

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Q: A B C D 168 0 - 168 -1 48 12 Evaluate 6 12 18 7 14 21

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Q: If a<b<c<d, then prove that for any real 2,

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Q: Expand [× (à × ř)] d dt

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Q: in a graph What is vertex coloring and upper bounds ? And give examples

A: To find what is vertex coloring and upper bound .

Q: Use Forward Gregory-Newton Interpolation formula to find a polynomial passing through the points…

A: The Forward Gregory-Newton Interpolation formula is defined as:…

Q: 4. Find a Möbius transformation which maps the region outside the unit circle onto the left- half…

A: let us take general form of  mobius transformation w=f (z)=az+bcz+d  where a, b, c, d ∈ ℂ such that…

Q: Find the cofactor of -3 in the determinant A -4 B -3 -5 4 144 -359 2 12

A: The cofactor of -3

Q: in a graph What is the vertex coloring? And give an examples

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Q: Suppose an image is saved as a matrix with a Singular Value Decomposition: A = USVT. Let the vector…

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Q: →XX Y be defined as f (a) = (f₁ (a). f₂ (a)) each a A, Then f is continuous if and only if the…

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Q: f(x) = [sin x if 0 T

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Q: The trajectory of a particle is given by the vector function r(t) = (2+³-1.-1² +1+1.-2³-3²-1)…

A: We will find derivative of given vector function to find linear approximation and equation of…

Q: Solving. Please show your complete solution for each item. 1. Standard Deviation and Variance The…

A: the formula for standard deviation is  S=∑xi-x2n-1 x xi-x xi-x2 7000 1319.8 1741872.04 7499…