For matrix A = (4 6 3 5 ). If f(x) = x2 - 5, calculate f(A)?

Q: (b) Consider the function f : R → R, f(x) = { (i) Prove that f is discontinuous at 0. (ii) Prove…

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Q: ) Consider the function h(x) = x³ sin(4x). Write the first three non-zero terms of the following…

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A: Definitions:

Q: 1. Tanya's new car sold for $23,856. Her online research indicates that the car will depreciate…

A: Due to Bartleby answering guidelines I have solved only first question which is question no 1.

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A: In linear algebra, a T-invariant subspace of a linear operator T on a vector space V is a subspace W…

Q: Use the principle of mathematical induction to prove that: 1³ +2³+3³ ++n³ = (n(n+1)/2)² 3

A: The given formula is, 13+23+33+......+n3=nn+122. The following steps are used to prove the formula…

Q: classify the following sequence 28, 21, 15, 10, 6, ........... a. arithmetic b. geometric c.…

A: The given sequence is 28, 21, 15, 10, 6,....

Q: 2. The velocity of a particle moving along a straight line is given by v(t) = 12-1 where 0≤t≤2 is…

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Q: Provide a finite automaton that accepts the language L = {x E {a, b}* | x ends with aa}.

A: A finite automaton that accepts the language L={x∈{a,b}*| x ends with aa} can be constructed as…

Q: 3. Use spherical coordinates to solve the following problems. dxdydz L) Evaluate (4π In (2)) w…

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Q: Let f(x) = 0 if x < -5 3 if -4 if 0 and g(x) = f(t)dt T -5 -5 ≤ x < 1 1<x<5 if x ≥ 5 Determine the…

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Q: Solve the given initial value problem. x' (t) = x(t)= 18-4 7 7 x(t), x(0)= -7 - 16

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Q: An exponential function is given as 3 to the power x. Write the equation of the transformed function…

A: Horizontal asymptote, y=-1 and y-intercept=70.

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Q: The graph of f is given below. 6+ 5 4 3 2 -6 -5 -4 -3 -2 -1 -1 -2 -3 f(x)dx + [ f(x)dx= Lo f(x)dx…

A: Since you have asked multiple subpart question, we will solve the first three subparts for you, as…

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Q: Use the matrix of transition probabilities P and initial state matrix Xo to find the state matrices…

A: From the given information:

Q: dy 3y - 4z dt + 20 ( ) dz 4y - 7z dt Solve the system tes and videos. = using the eigenvalue method…

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Q: Fast pls solve this question correctly in 5 min pls I will give u like for sure Anu Write a cosine…

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Q: Express the vector == 7= Z+ y. -22] 10 as a linear combination of = -(-3) and y=

A: Consider the vector v→=-2210. To express it as linear combination of vectors x→=-4-5 and y→=1-5.…

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Q: 1.The electrical voltage in a certain region is given by V(x,y,z) = 5x² -2xy + xyz. a) Find the rate…

A: Gradient of a Function:   Let f(x,y,z) be a function in ℝ3. The gradient (denoted by ∇f) is given by…

Q: 7.31. A financial institution has entered into a swap where it agreed to receive quarterly payments…

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A: A mathematical statement, which states that two expressions are not equal is called an inequation…

Q: problem. Use the method of Laplace transform to solve the following initial value y" + 3y' + 2y = 1,…

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Q: y' = x² y (2 + x³)

A: Given differential equation is

Q: A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations…

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Q: The population of a town grows at a rate proportional to the population present at time t. The…

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Q: A periodic function from with periad T-2π er gitt ved F(x)= π-x π+% Use the series far for 0 <* <T…

A: Given fx = π+xif  -π &lt; x &lt; 0π-xif   0 ≤ x ≤ π               The Fourier series of  fx…

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Q: 1. Frankie begins saving for college early, opening a savings account that earns an effective annual…

A: we will solve both problem one by one in next step

Q: (b) Find 95! (mod 96).

A: We have to find the value of 95!(mod 96). Since 95!=95*94*93*…*8*7*6*5*4*3*2*1.

Q: Prove that: n n (3) + (-²)=(-+ m m+1 n+1 m+1

A: We have to prove the given identity

Q: Let W be a subspace of a vector space V over F. When v € V, it is common to denote the set {v} + W…

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Q: Find the least-squares solution of the system 1 1 3 -1 3 x = [

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Q: A Bernoulli differential equation is one of the form dy dx Observe that, if n = 0 or 1, the…

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Q: the given transio The reciprocal function y = shifted down 1 unit and left 2 units. X -10 - 10 -5…

A: If y= 1/x  is shifted down 1 units and left 2 units After this new function is Y = 1x+2 -1 So, graph…

Q: Solve the system of differential equations. -6 -2 -10 x₁(0) = 8, x₂(0) = -8 x₁(t) = x₂(t) = X

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Q: Classify each singular point (real or complex) of the given equation as regular or irregular. 2x²y"…

A: Since you have posted multiple question, but according to guideline I will answer first question.…

Q: there is a factoring mistake near the end -- your mistake makes it so this limit doesn't go to zero!

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Q: Find a fundamental matrix for the system x'(t) = Ax(t) for the given matrix A. A= 3 3 6 -3 Choose…

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Q: You toss a coin 1500 times and record the results. You then look through your results and find that…

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Q: Examine the following graph of a function modeling damped harmonic motion. Find the equation for the…

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Q: 2. The curve y = ln (x² − 1), 2 ≤ x ≤ 3, is rotated about the y-axis to form a surface. Find the…

A: Sketch the graph From the given curve:

Q: Now suppose b +0. The characteristic polynomial of A is (a-X)(d-A)-b² = x² − (a+d)λ + ad-b². From…

A: Please find the answer below

Q: Write the function f(x) = an even function f f₁(x) = x³ f₂(x) = -5,3 x<0 x 20 F₁(x) = 2x f₂(x) =…

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Q: Let v₁ = 5 - 2 3 6 subspace of Rª generated by (V₁,V2 V3}- 2 V₂ O Yes No 3 V3 = and u = ... Is u in…

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Q: Without using the Cauchy-Riemann equations, investigate the differentiability of the function f(z) =…

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Q: In this question, you will estimate the value of the integral S xe-dr using three different…

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