2. Showing details of your calculation find all the values of z such that еxp(2: — 1) 3 1.

Q: Find all values of t for which det(t I3 − A) = 0 for the following:

A: Given: A=01000131-3 Now, stepwise calculating dettI3-A=0 for all values of t. Consider,  tI3-A  So,…

Q: which is the n/2 Example 2. Solve g(x) = sin x+a sin x cos t g(t) dt. %3D [Bikaner 2012]

A:

Q: 27 Find (all) the value(s) of c such that ) 3c²n 8. %3D - n=0 (A) c= 3 (В) с 3 4 (C) c = - (D) c = }…

A:

Q: 1. Find the value(s) of x that satisfy x? – 3.5x + 1.8 = 0.

A:

Q: meª (In x)-5 Find: What is the behaviour of y as →→ ∞ ? Given: Y- ▬▬▬ Oy -∞ Oy →∞ Onone of the above…

A: Please see the below picture for detailed solution.

Q: Given the following: g(x) = 2 + x - x², [a,b] = [0,3], p = 1 a. Verify that the two conditions of…

A: The given function is gx=2+x-x2, a,b=0,3, p=1. a. Verify that the two conditions of the IVT are…

Q: Q1

A: We use definition of Riemann Stieltjes integral.

Q: 2. Below is the w is complete the

A: Given function is: fx=x We know that, x=x ; x≥0-x ; x<0 For x<0, we have y=-x Differentiating…

Q: a € ¹ { x² + 0²² 8² + 6² } s2 [sen (3t+ 2u) + sen(8u - 3t)] du Applying the Convolution Theorem to…

A:

Q: Referring to the figure, suppose that F dr = 14. Use Green's Theorem to determine . F · dr, assuming…

A: Here, the given vector field is, F=F1i+F2j. Now, applying green theorem in the region D,…

Q: Which of the following is a homogenous of smallest degree? (A) Vx+y В) Inx - Iny x4+y4 x-y D x-y

A:

Q: Q.No.1. Find y'(0.2), y"(0.25) and y"(0.75) from the table below 0.2 0.4 0.6 0.8 1.0 y(x) 0.9798652…

A: Formula: x x1 x2 x3 x4 x5 y(x) y(x1) y(x2) y(x3) y(x4) y(x5) If xi=x1 or x5 then y'x1=slope…

Q: Find a point c satisfying the conclusion of the MVT for the function y(x) = 8e* on the interval [0,…

A:

Q: xample 12. (a) Show that e >1+ z for z > 0. (b) Deduce that *21+z+ for 20

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Q: e the root of the f(x)=e^(-x)-3log(x)%3D0 using the secant method. Let the initial guess of 1.0 and…

A:

Q: Prove the statement below. Let A = {x | x = 4k for some k E Z} Let B = {x | a = 2k for some k E Z}…

A:

Q: Q2: Let XN B(4, 0). Let H, : 0 = and H : 0 = . Using the definition of BCR, find (1) a BCR of size a…

A:

Q: Find all values of t for which t 1 1 = 0. t +2 0 t+1 -2 -1

A: The given matrix is  t-101-2t+2-100t+1=0

Q: Find the rank f the Mathisx by Normal form 3 5 1. 3 13 2. 2 8.

A:

Q: Consider the realization r' = -3r + u ; y=2x. = 5 for the (a) Find an input that drives the state…

A: We will first find the transfer function T(s) of the system. Next we will determine the output y(t)…

Q: t radical forr

A:

Q: Question Calculate for w = zsin(xy2 + 2z). Do not include in your answer. Provide your answer below:

A:

Q: 3. Evaluate: 4 E 2k-1 k=1

A: Summation sign adds all the values from k=1 to k=4 .

Q: The residue of f(z)=1/(z+1)^3

A: f(z)=1(z+1)3

Q: Find the linearization at x = a. 1 f(x) = a = 5 (Express numbers in exact form. Use symbolic…

A: Given:Fx =1x3  ,a=5To find:Linearization at x=a of FxMethod:Lx ≈ fa+ Fι a x-a

Q: Consider the funetion f(r) = The value of f(0) i (z+1) (a) 1 (b) -2 (e) 3 (d) None of the above

A:

Q: iid Let X,.X(4,0²). Consider the following estimator ofu 5(X2 + ..+ X-1), 1 +,Xn. Then var(i) 7(n -…

A:

Q: Use the graph below to find a d >0 such that for all x, 0< |x- cl<6→ |f(x) - L|<E. The value of ô…

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Q: e(z – 1) The residue of f(z) = at z = -9 is -9e-9 (6+2)

A: Detailed explanation mentioned below.

Q: |0.3 for x=3\ 0.2 forx=5 Px(x) = 0.3 for x=8 0.2 for x-10 lo otherwisel Find and Plot the CDF of X

A: Provided discreet random variable with probability mass function is given as: Px(x) =0.3  for x=3…

Q: Find the linearization at x = a. y = (9 + x)-1/2, a = 1 (Use symbolic notation and fractions where…

A: We know that  L(x)=f(a)+f'(a)(x-a) Given a=1 y=(9+X)^(-1/2) Now we will evaluate L(X) as follows

Q: Find the linearization at x = a. 1 f(x) = a = 9 (Express numbers in exact form. Use symbolic…

A:

Q: m(x)=3e^2x-4, find a formula for m^-1(x). Show all work using proper notation throughout.

A: We first replace m(x) by y and then switch x and y

Q: -3 47 Define T: R? - R³ by T(x) = Ax, where A =|-5 3 - . - 28 Find an x whose image under T is -32

A:

Q: Wich of te following is not a factor of f(x)=x^3+2x+3 in Z5[x] a. x+1 b. x+2 c. x+3

A: Which of the following is not a factor of f(x)=x^3+2x+3 in Z5[x]

Q: Factor the following gompletely given that x=2 15 a coot of fy)-3+2x-10aytie

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Q: Σ (-1)%* ,3r n = 1 the associated radius of converg 1

A:

Q: Hand in: Refer to Example C pg 117 (Rice). Show that E-0 xp(x) = 1 if X~Poi(1). Expand the steps.…

A: We have to Find the expected value of X for Poisson distribution

Q: The pre-image in red has been transformed to the image in green. Select the equations for both…

A:

Q: Q3: A- Write two refinements for the n = ={-3.-,1.4} B- Find R(f, n), R(S, 1) for f(x) = x³ on [0,4]…

A:

Q: 5. Using the same calculator find the value of Zo such that the following is true: ii) P(Z<ZO)=0.15…

A: According to the given information in this question We need to find the P( Z≤ Z0) = 0.15

Q: 27 Find (all) the value(s) of c such that 3c2n 8. n=0 (A) c= 3 (В) с— 4 (C) e = -} | (D) c = } (E) c…

A: Given, To find the value of c. The formula for the sum of an infinite geometric series is, where a…

Q: 27 Find (all) the value(s) of c such that 3cn %3D - 8. n=0 (A) c= 3 (B) c= 4 (C) c = (D) e (E) e (F)…

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Q: Eliminate the parameter t from the following. ( x(t) = 2+ 2 sect (y(t) = 6 + 2 tant

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Q: rcise : The residue at z = 0 of f(z)= (2-2)(z-3)(z-5)™. (a) 0 (b) -10 (c) 10 (d) none of these

A:

Q: μ = 35 and σ = 2 Find the z-score for x=40.

A:

Q: Where is G' located if you Dilate GHI by a factor of 0.5. (1.5, 1) (1.5,- 1) (1.5, 1.5)

A: Dilation of 0.5 means the image is reduced , with its dimensions half the origin. In dilation , we…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.