Use the given definition to find f(A): If f(x) = a, + a,x + a,x2 + ... + a,x" is a polynomial function, then for a square matrix A, f(A) = a,I + a,A + a,A? +... + a A". f(x) = 3 - 7x + x², A = [:]- f(A) =

Q: In Exercises 23-25, find lim (h+3)- (3) 23. ()- х -3 24. (x)=- X-2 25. (x) = Jx+1

A:

Q: A roasted turkey is taken from an oven when its temperature has reached 185°F and is placed on a tab...

A:

Q: or the DE y' = xy2, y(0) = -1. Then, y(2)=

A:

Q: If the substitution u=1+/x is made, then dx = A 2fvūdu В du O 2 Su?du

A:

Q: f(t) = 5t + 5 cot(t/2), [T/4, 7T/4]

A:

Q: Consider the function f(x) = x(Va – 1), where a > 0, x > 0. (a) Tell if f is an indeterminate form i...

A: Solve both the following part as Below:-

Q: y = x, y = vx; about x = 3

A:

Q: If | f{x)dx=12, what is the value of f(6 – x)dx? A -6 B 0 C) 6 D) 12

A: According to question, Given integral, ∫06fx dx = 12 we have to find value of ∫06f6-x dx =?

Q: x sin (x²) cos(x²), from a = 0 to b = x 2

A:

Q: A particle is moving along a horizontal line according to the equation s = 3t2 − t3, t ≥ 0, where s ...

A: Instantaneous velocity is given by the derivative of position function. The particle is moving to th...

Q: Illustrating the Dimensions of a Box You want to make a box to be part of your designed gadget. You ...

A:

Q: dy zsin(x) dz

A:

Q: .3 If U = 2– x, x/2 - xdx= (A) (2 – u)/ūdu В u/ūdu ,1 © Lwūdu uvūdu .3 D J (2- uWūdu

A:

Q: Find an invertible matrix P and a diagonal matrix D such that PAP=D. -16 -27 0 A = 10 17 0 -19 -27 3...

A:

Q: A curve has a slope -X+2 of at each point (X,y) on the curve. Which of the following is an equation ...

A:

Q: iv.y %3D cot -1 (x), у € [0, п] v.y = sec-1 (x) , y e [-7, - u [0,5 (x), y e -n, – u [0, -T, vi.y = ...

A:

Q: Translate the spherical equation into cylindrical coordinates Equation: tan2(φ) = 1

A:

Q: straight lines with slope and y-intercept equal

A:

Q: he auxiliary equation for the differential equation y" +2y" + 7y' = 0 is elect one: O m³ + 2m² + 7m ...

A: Here we have to find auxillary equation for given differential equation as shown below

Q: Use the first estimate the six ferms s7 the binomial series to followang:

A: According to the binomial expansion :1+xn=1+nx+n(n-1)2!x2+n(n-1)(n-2)3!x3+n(n-1)(n-2)(n-3)4!x4+...∞w...

Q: differential equation of the form Dx/dt = F (x/t) Where the right side depends only on the ratio o...

A:

Q: 1+ sin x dx = 2 cos? x Hide answer choices - A tan x + sec² x + C tan x + seс х + С C In(1+cos?x) + ...

A: Given, ∫1+sinxcos2xdx We need to calculate the value of the integral. We know that ∫(a+b)dx=∫adx+∫bd...

Q: Find n if P(n+5,2) = 506. Show your steps using the formula for P(n,r).

A:

Q: (b) Given that r(1)=(r.r.) Find the curvature of r(t) at the point P(2,4,2).

A:

Q: Question 1 1 Point The population of a country is growing at a rate proportional to its population. ...

A:

Q: f(x) = 3x/2x² + 1 (A) Find all critical values of f. If there are no critical values, enter None. If...

A: (c). To determine:

Q: f(x) = x2 + 12x + 35 a) Give the domain of f (in interval notation) (-inf,-7) U (-7,-5) U (-5,inf) b...

A: This is a function problem

Q: The population of a country is growing at a rate proportional to its population. Iif the growth rate...

A:

Q: Solve the DE f'(x) = 5x given that f(0) = 3. %3D

A: The objective of the question is solve the  DE with help of given conditions.

Q: Consider the indefinite integral 5 dæ 5+ et The most appropriate substitution to simplify this integ...

A:

Q: If C(x) = 19000 + 500x - 1.2x2 + 0.004x3 is the cost function and p(x) = 2900 - 6x is the demand fun...

A: Let's find. 

Q: dy Solve the initial – value problem: = y² given that f(0) = -1 dx %3D

A:

Q: .6 If | f{x)dx=12, what is the value of | (6 – x)dx?

A: We have to calculate Integral of f(6-x)dx from 0 to 6.

Q: yA (a) lim_f(x) X-2 4. 4. (b) lim f(x) X-2+ 3 2 (c) lim f(x) X-2 (d) limf(x) -4 -3 -2 2 3 4 x X-2 -1...

A:

Q: Find the extrema by a) finding critical numbers, b) setting up a sign line, and c) listing extrema. ...

A:

Q: Solve the differential equation: dy X-- dx - y- - /x2 + y? = 0 ; y(V3) = 1 a. x² + 2y = C b. 2x? + 2...

A:

Q: (a) Evaluate xy dA, where D is the region in R² bounded by y = sin(x) and y = = cos(x) shown in the ...

A:

Q: Express the rational functions as partial fractions: I .3

A: To determine:  

Q: If dy = x² dx, find the equation of the curve that passes through the point (1, 1). 2y + x³ + 2 = 0 ...

A:

Q: y = csc

A:

Q: i. y = sinh-1 (x), ii. y = cosh-1 (x),x > 1 iii.y = tanh-1 (x), |x| < 1

A: Given;  I) y=sinh-1(x) ii)y=cosh-1(x),x&gt;1 iii)y=tanh-1(x),|x|&lt;1.  

Q: 2-Decomposition of hydrogen peroxide to water takes place first order differential equation (C=Coe*)...

A:

Q: 1. у" + 6у" + 11у' + 6y = 0

A:

Q: „k+3 If f(x+ k)dx=8, where k is constant, then f(x)dx=? Jk-1 -1

A: property of integration

Q: d ?y + 5 dY + ol x2 6X=0 dx

A: This is a basic differential equation question

Q: cos2xdx csc22xsin4x

A: Here this is an indefinite integral. Wally's formula is used for definite integral. So I am solving ...

Q: () Y = sec

A: Given the function 

Q: .3 ,k+3 If f(x+ k)dx=8, where k is constant, then f(x)dx=? k-1 A) 8 В) k-8 c) 8-k D) 8+k

A:

Q: 13.7- Stokes' Theorem 1. Let S be a sphere (with the standard, outward orientation). Let F be any ve...

A: Solution...

Q: dy If = 3x2 – 1 and if y= -1 when x=1, then y= dx Hide answer choices - x³ + 1 B -x3 + x- 1 © x³ - x...

A: