For each of the following systems of linear equations, determine if it is consistent or inconsistert, and linearly independent or dependent. x +y+ z= 2 -2y + 2z = 2 2x + 2y + z = 3 a. b. 2x + 5y- z= 6 -x-y+z = -3 6х + 15у - 3z 3 18

Q: D Evaluate xy dady where D is Hie region bounded x=0, y=0, and x+y= ! by

A:

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A:

Q: Evaluate each of the following indefinite integrals: (tan e +sece")°e*dx let u= du=

A: Topic:- integration

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

A: In this question we have to find the equation of tangent line.

Q: If y = 2u – 3(u² – 3u)* 3 (u² – 3u) and U = Vx –1. Find | | dy when x = dx 17

A:

Q: e6x _4e' —6х lim x→-0o 2e3x-5e-9x+e-3x

A: Topic:- calculus

Q: V# + I Evaluate the following indefinite integral. Use C for any constant of integration. dx J avæ +...

A: Given:       ∫9xx+1dx Taking constant out.     =9∫1xx+1dx    substitute u=x+1→dudx=12x+1            ...

Q: A company estimates that the weekly sales q of its product is related to the product's price p by th...

A:

Q: For a particular commodity, the demand function is q a. Find e when p = 4. Preview = 3 b. Is demand ...

A: Given: For a particular commodity, the demand function is, q=4000p5. To Find:  a To find ∈ when p=4....

Q: • Solve the differential equation and apply the given conditions. d²y dy -5- 5 dx2 dx : + 6y = 0 y(0...

A:

Q: Find the derivative of the function. f(x) = 4/5 4 + X f'(x) ||

A:

Q: Figure 1 below shows the graph of a piecewise function y=f(x). y Figure 1 (i) State all the point(s)...

A: i) The points of discontinuities are x= 0 x= 2 x= 5

Q: Find the Taylor polynomials of orders n = 0,1,2,3, and 4 about r = ro and then find the nth Taylor p...

A:

Q: 1+cscx 7. h(x)=- 1-cscx

A: Given the functionh(x)=1+cscx1−cscx

Q: The radius of a spherical balloon is increasing at the rate of 0.6 cm / minute. How fast is the volu...

A:

Q: 2x3 + 4x² + 7r – 6 dx 1. x4 – 3x² – 4 |

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as...

Q: 3. tan e de ) 71+ In cose)43

A:

Q: Sy°+2y+17' 24. (3y- 2)cy y' +2y+17

A:

Q: 12 18 24 valuate each integral by interpreting it in terms of areas.

A:

Q: 3.) x2-9 f(x) = x2 +3x

A:

Q: f (x) = D윽과+1

A:

Q: (2) In a GP  if T2 = 10 and T5 = 1250, find:-  T10

A: Given  In a G.P. T2 = 10 & T5 =1250 To find T10:

Q: . Find the derivative of the following function. Show your complete solution. ( hint: some items may...

A: According to company rules, I need to solve first question when multiple questions are posted. So re...

Q: dy du dy Find du' dx and dx when y and u are defined as follows. y = Vu u = 3x - 5x? du du dx dx 00

A:

Q: Find an equation for the graph sketched below f(z) - Question Help: D Video Message instructor D Pos...

A:

Q: Use any method to determine whether the series converge. 1 (a) k + 6k + 1 This series

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: The graph of P = g(t) contains the point (-2, 6). (a) If the graph has even symmetry, which other p...

A:

Q: 4-4e" Evaluate lim,→0 3x+x15 4 15 - 4 15 4 3 -

A:

Q: Find and when (TU – V)² In(W – UV) = In(2) at the point (T, U, V, W) = (1, 1, 2, 4).

A:

Q: Determine if lim f (x) = f(c). Write YES if limf(x) = f(c), otherwise NO. Show your proof 1. f(x) = ...

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions specify...

Q: [-1 3 -11 12 2 [13 17 61 B =-1 -4 2 1 -2 31 19 9. C =| 20 A =5 2 7 -9 10 2 2 -5 -3 -1l -4 -11 1 -10 ...

A: Note: As per our company guidelines, we are supposed to answer the first three subparts of the quest...

Q: By considering appropriate curves which approach (0,0) (or other- wise), show that there is no value...

A: Continuity

Q: is 200,000, what is the expected population after 5 years? tion of a certain city in the southwest w...

A:   Given,Current population of the city = 200,000Rate of increase of population = 8% (in every 5 year...

Q: Using either permutation or combinations: Seven children are to be selected from a group of nine ch...

A:

Q: Consider the function f which is given on its domain (0, ∞) by f(x) = 18x2 – (36x + 9) ln(æ) . • Fin...

A: Let's find. 

Q: Activity 2. valuate the following its by applying thê different Theorem discussed. 1. lim (3x – 2)(x...

A: To evaluate the limit using the different limit theorems.

Q: e +e =e**

A:

Q: Suppose that f is continuous. 7 10 Find | f(x)dæ if | f(x)dæ = 10 and | f(x)dx = 13. 10 23 -23 O - 3...

A:

Q: Below is the graph of f(x)= -x + 5x +6. C 1. B. 4. D E a) Find the co ordinates of all 1abeled point...

A:

Q: Question 3: \( f(x)=\frac{1}{x^4}.) a) Evaluate f(x) dx. -1 b) Find a value of f(x) dx.

A: I am attaching image so that you understand each and every step.

Q: 1 f(x) = (1 + x)5 00 f(x) = n = 0

A:

Q: sin 8 ydy 8. 25+ sin* 4y 4.

A:

Q: Find the derivative using implicit differentiation. e^x+e^y=e^(x+y)

A: Implicit differentiation

Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = %D (1 + x)5 Σ f(x) :...

A:

Q: Assuming that sin 0 = 0.6875 and cos o = 0.5625 and that both 0 and p are first-quadrant angles, eva...

A:

Q: A chef removes a roasted turkey from an oven when its temperature reaches 185°F places it in a room ...

A:

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 3 Pa(x) =

A:

Q: 5. dx of y = (1+e-*)²/(1-e-*)

A: We need to find the derivative of the given function.

Q: Question 1: a) Find the definite integral (x + 1)(x - 1)dx -1 Answer: I = fa- b) Find the indefinite...

A:

Q: In problems 1 and 2, find any intercepts with the three coordinate axes and sketch a graph of the su...

A: