1. Consider the function f(r) = cos(z) for c= 7n and h %3D 100 (a) What is the approximate derivative value for f (x) at c when using the forward difference f(c+h)-f(c) , Show all commands. h scheme? (i.e. (b) What is the approximate derivative value for f(r) at e when using the central difference f(c+h)-f(c-h) 2h scheme? (i.e. Show all commands.

Q: Divide:(9x2 + 6x) ÷ 3x

A: We know , 1.(a+b) ÷ c = (a+b)/c = (a/c)+(b/c) 2. am/an= am-n 3. ao = 1

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A: Remark: A regression line is a straight line that interprets how a response variable y changes as an…

Q: 2. Given the matrix A below, [1 1 0 11 0 2 1 2 A = 2 10 1 L2 0 1 4- solve for det inv A.

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Q: 10 Find the projection of U = -14 | onto the -15 -4 -4 3 subspace W of R' spanned by -6 | and 6 -1 1…

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A: As product of two matrices is possible only when number of columns of first matrix is equal to…

Q: As an easy exercise, check that you believe that lim [0, 1- 1/n] = [0, 1) %3D lim [0, 1- 1/n) = [0,…

A: limit is that value of function at which function approaches to output at any given input. The…

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Q: 10 10 minutes after or 5. minutes before 5:13

A: Solution

Q: e solution set of the equation 14x5 + 83x4 + 78x3 - 258x2 - 360x + 27= 0 i

A: To find the solution set of the below equation. 14x5+83x4+78x3−258x2−360x+27=0

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A: Introduction: The formula of the Laplace transform of the function f(t) is given by,…

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Q: Find the area of this trapezoid. Be sure to include the correct unit in your answer. 7 m m2 5 m 11 m…

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Q: Find the solution. (Dª+2D3 + 10D2)y =0. @y = c,e-+czxe¯+e"(e,cos3r +c,sin3x) y = (c,+c,)x+e*(c,cos3x…

A: To solve the given Differential equation.

Q: Example 1.3.1 Check lim inf[0, n/(n + 1)) = lim sup[0, n/(n + 1)) = [0, 1). n-00 n-00 We can now…

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Q: The curve graphed below has the parametrization C = {(v 4 %3|

A: Introduction: A parametric equation is one in which the dependent variables are defined as…

Q: Find the Inverse Laplace Transform. Y (s) (10s + 8) తాతి s3

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Q: Which of the following functions on R is sublinear? a). s1(x) = # x if x ≥ 0 0 if x 0

A: Definition: Let X be a vector space. A function p: X→ℝ is said to be a sublinear function, if it…

Q: The solution set of the equation x4-5x3-51x2-95x-42=0 is

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Q: S (z+1) (r+2)) dz =? 를 + 흘고 + c wherecis an unknown constant. (플+피) (를 + 2x) +c where cis an unknown…

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Q: 2. Given the matrix A below, 1 10 1 0 2 1 2 A = 2 10 1 L2 0 1 4 solve for det inv A.

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Q: Q1

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Q: Find all solutions if 0° ≤ ? < 360°. Verify your answer graphically. (Enter your answers as a…

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Q: H.W: Evaluate the integral 1 1 2 y2 || x²e*ydxdy dxdy 1. 2. 0 y 1 y

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Q: in two way ANOVA, if factor 1 has alpha levels and factor 2 has b levels then there are a total of…

A: there will be a total of axb  treatement. option b is correct answer

Q: 2. Consider a four-input function that outputs a 1 whenever an even number of its inputs are 0. a)…

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Q: Using the composite division, find the rest of the border division ((4 x) 2 + a-x - 5 x  4-3 x 6+…

A: By composite division if we put x=a+2, then by the algorithm rule we can find the solution easily.…

Q: 10. Let ø: Q(V2) → Q(v2) be the map given by ø(a+bv2) = a-bv2. Show that 6 is a Q-linear field…

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Q: 3) The complex conjugate of z is denoted as z. Solve for z in the equation: 27(1 – j2), j 2- j3 1 +…

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Q: Consider randomly selecting a student at a large university, and let A be the event that the…

A: Given P(A) = 0.6 P(B) = 0.4 P(A ∩ B) = 0.5

Q: 9. For the connected graph below 10 し。 12 select tree T-{2, 3, 4, 6, 7, 10 } and find matrices (a)…

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A: Finding the volume of solid generated by given curve

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Q: 1. Each situation represent a simple, ordinary annuity: Calculate the future value of each annuity.…

A: Given, A table representing a simple, ordinary annuity . To find - Future value of each annuity .…

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Q: 1. prove every 2nd countable space is Lindelof space. 2. Every Lindelof topological space induced by…

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Q: Find the linear approximation of the function below at the indicated point. f(x, y) = V17 - x² – 4y²…

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Q: Find the volume of a cone with a base diameter of 7 yd and a height of 6 yd. Write the exact volume…

A: Note: We have the volume of a cone  V=πr2h/3 cubic unit. r is the radius of the base and h is the…

Q: . Solve the variational problem v +2y (x +y)] dx = 0, given y (1) = y (2) = 0. %3D

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Q: (a) [-1 2 -2 - [10] -2

A: The given matrix is  -12-21-12-21-10 multiply the first two matrices

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A: First we will evaluate the function f(x) at the given points. So,          x f(x)=exp(x)-3x…

Q: Derive the entire series expansion for the function COS x f (x) : 1- x2 around xo = 0.

A: Given function is fx=cosx1−x2. We have to find the series expansion of fx at x0=0. The Taylor series…

Q: Proofs: Construct proofs to show that the following symbolic arguments are valid.  Commas mark the…

A: To find- Construct proofs to show that the following symbolic arguments are valid. Commas mark the…