Find the derivative of y = 3x² + 5x- 2 from first principles.

Q: 11. Determine values of r and is such that a and b are collinear. a= [3,r, 15] and b= [s,6,- 5]

A: To determine the values of  and  such that  and  are collinear. and

Q: 1 dx

A:

Q: Consider the following differential equation: (x² – 4)y" – xy' – 3y = 0 i. Verify that x, = 0 is an…

A:

Q: (22) Let A = (-∞, -2] and B = (102, ∞).

A: Given A=(-∞, -2] , B=(102, ∞). Now, the union of two sets consists all those elements that belong to…

Q: Find A. A = (3A)-1 · [ = 10 4 21

A: We have to find A using given data.

Q: Express e(1/2-6) in the form a + bj.

A:

Q: 1. y=x+5 y= 6

A: A system of linear equations is a set of one or more linear equations. Each linear equation…

Q: Find A. A = 24 -- [34] 2 (8A)-1

A: Inverse: A matrix B is said to be the inverse of the matrix A if AB=BA=I, where I is the identity…

Q: A = 1 1 0 0 1 -1

A: Note the following fact :

Q: a) b) d'y(t) _2d'y(1) dªy(1) _4dy(t) + 5y(t) = 6x(1) dt' di' dt¹ dt d'y(1) di' dit Property +2dy(t)…

A: Linear: A differential equation is linear if the unknown function and its derivatives are to the…

Q: Find the Fourier series representation of the even extension of the function represented by the…

A:

Q: Find the Fourier series representation of the periodic function below if k = 18 and m = 5. Then,…

A: f(7.488)=11.487736

Q: You are given the graph of a function f. 411 -3-2-1 123 -1+ Determine the intervals where the graph…

A: Concave upward, concave downward and inflection point can be determined from the following figure

Q: for part b of the question, how did we get 2 answers after isolating for x?

A: Since the sinusoidal function is periodic , we get the repeated value.We can clearly see this in a…

Q: 1 -1 A = -1 2 -1 0 -1 1

A: Answer is in next step

Q: You are given the graph of a function f. يجا 2 concave downward 3 4 X Determine the intervals where…

A: Concave downward and concave upward can be determined from the following figure.

Q: Solve the following system using the Gauss Elimination X – 2y + z = 0 2х + у — 3z 3D 0 4х — 7у + z %…

A: Gauss elimination method

Q: he following statement true or false? (Note that a true statement mus e.) The probability of Type I…

A: We have to state wheather statement is true or false.

Q: 4. Convert. 12.85 1 = ml

A:

Q: М --8г? + 11т - 6 T = -7r2 – 9r + 14 М+Т- Your answer should be a polynomial in standard form.

A: Given: M= -8r2 + 11r – 6 T=  -7r2 - 9r + 14

Q: I need help with the calculus question below. Please show all work. Thank you!

A: We have to write in the above integral form

Q: Evaluate the given limits: a) 2x3 + 5x² + x – 1 lim x→+0 e2x -

A:

Q: 1 [(3x)2-1]2

A: We will use partial fraction to solve the integral

Q: which part is A(1) and which is A(2)?

A: Solution-: We have given x¯=64.2,n=46,s=27.9 Here, σ- is unknown so we use t-test We want to find…

Q: Evaluate the complex integral •x+yi bz²+c dz az if a = 4.1, b = 0.8 , c = 2, v = 2, x = 2 and y = 4.…

A: