y=a* -2 2 The range of the function, in interval notation, is No decimals. No spaces.

Q: Evaluate the integral. 8t3/2i + (t + 8)vtk) dt

A:

Q: Solve the differential equation. dx = (x2yey^3 - 3xy2) dy

A: dx = x2yey3 - 3xy2 dy

Q: sec? x 2. csc2 x = sec2 x-1

A:

Q: A particle moves according to a law of motion s = f(t),t20, where t is measured in seconds and s in ...

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts f...

Q: f (x) = 4.5x²-3x +2 f(x)-f(a) Use the alternate limit definition, lim with a = 2, to find the value ...

A: Given:- f(x) =4.5x2-3x+2  To find:- Use alternative limit definition find value of f'(2) 

Q: ORDER DEGREE LINEAR OR NON- LINEAR x*y" + xy" = e* (y')? – 3yy' + xy = 0 d2 ds t dt t2 = 1- sint dt?...

A: See the details solution in below

Q: (2x-y + 2) dy + (x-2y+4) dx =o

A:

Q: solve using reduction of order (D^2+1)y=tanx

A:

Q: (D²+1) y 4 see X . ニ

A: 1. We know, ∫secnxdx=n-2n-1∫secn-2xdx+secn-2xtanxn-1   Given differential equation, D2+1y=sec4x........

Q: Show that the limit x²ycos y lim (x.y)→(0,0) 2x4 +y² does not exist.

A:

Q: eliminate arbitrary constant, x=k+ct

A:

Q: Consider the following sequence: 9" {an} %3D 4n2 n=1 An+1 to show that the given sequence {an} is st...

A: This question is related to sequence and series, we will solve it using given information. 

Q: 5æ? + 3x. Let f(x) = 4x + 3 and g(x): After simplifying, %3D %3D (f o g)(x) = Let f(x) = Then the do...

A: 1st Part:  Given data is: f(x)=4x+3    and  g(x)=5x2+3x     

Q: f'(t) = sin tf (t).

A: Given that: f'(t)=sin t f(t)...(1)

Q: For real number p, let f and g be defined by f(x) =e x and g(x)= 1/x, respectively, on [1,0). P. (a)...

A:

Q: Find the root of the equation x2 - 4 Inx use x, =1.000 Solve by simple iterative method.?

A: We have to find root of given equation.

Q: 10. The function's value will always be greater than or equal to the local linear approximation of a...

A: For the given statement

Q: 3 +1 mect

A:

Q: (S) possit Given In 6=1.7918 and In 23 =3.1355, find the value of the following logarithm without us...

A: We will use the fact that  ln(a/b)=ln(a)-ln(b).

Q: dy 2y_(x+2)² %3D dx x2 -4 x² -4

A:

Q: ex dx

A:

Q: 3 1-x²-y² e-3(x²+y²+z²)² dz dydx 1-х2 a) Evaluate e-3(x²+y²+z?)² dz dydx

A:

Q: (1+x*)dy + x(1+ 4y²)dx =0

A:

Q: 7. (1+x*)dy + x(1+ 4y°)dx =0

A:

Q: 3rd-Quarter... 4. Focus (3, 0) 5. Focus (-5, 0) 6. Focus (0, 10) 7|Page 1- Given the falowing condit...

A:

Q: dx 1+ ×°yス 2Y - 1+(xy)². 2x + X

A:

Q: Find A-x) and determine whetherfis odd, even, or neither. 4) f(x) = 4x - Sx4 4)

A:

Q: Show, without reference to right triangles, that arctan x + arccot.x = }r for all real x. HINT: Use ...

A: Solution -  To show,  arctan x + arccot x = 1/2π  for all x 

Q: The half-life, T, for a particular radioactive element is 15 min Find the decay rate of the element ...

A:

Q: E valuate the improper integral Sma Xe* de Ina

A:

Q: tim X=9 2 メー→3

A: Given query is to find the value of the limit.

Q: solve for orthogonal trajectories y^2=4x^2(1-kx

A: For finding orthogonal Trajectories :step 1 : Let f(x,y,c)=0 be the equation of the given family of ...

Q: Calculus Question

A:

Q: Let f(x,y) = (x² + (G))°. Determine the directional derivative of f at the point (1,0) in the direct...

A: Explanation of the answer is as follows

Q: The following is/ are true about the area bounded by y-8x & y=2x: O A. y= v 8x -2x O B. Only Horizon...

A: Here, the given region is bounded by the curves y2=8x, y=2x

Q: dz 22. Evaluate the definite integral Hint: Trigonometric Substitution 2zv9z2-4 0.

A: To evaluate: I=∫03dz2z9z2-4...(1)

Q: 1. A model for the position x (t) of an Olympic jump skier says that the acceleration a(t) = x" is p...

A: As per as our guidelines i am supposed to answer only three parts of this question Please repost the...

Q: — хех dx -0-

A: Given: - The integral is, ∫-∞0-xexdx To solve: - The solution of the given integral.

Q: iven Cost and Revenue functions C(q) = q° - 10q + 56q + 5000 and R(q) = - 3q + 2600q, what revenue i...

A:

Q: 3. Problem 2. Is the matrix a linear combination of the matrices 2 and Justify your answer.

A: Given matrix  3002, 1001 and 1000

Q: 4. dy/dx = sec ²xsec³y

A:

Q: Ae"+ Be`t I Eliminote the arbitrary constants y Iny

A: ylny=Aex+Be-x

Q: Evaluate / y ds, C: x = t, y = t, - 2 <t < 1

A: We are authorized to answer one question at a time, since you have not mentioned which question you ...

Q: 1. lim f(x) = x-1 ; lim f(x) : lim f(x): f(x) 5 X-1 2. f(1) = 4 3 3. X-1 lim f(x) = ; lim f(x) = ; l...

A: According to bartleby guidelines I can only answer the first three subparts of the given question. P...

Q: Write the first five terms of the sequence: +o0 {vn² + 2n – n}, Determine whether the sequence conve...

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: Find the position vector i that corresponds to the vector graphed below. Note that each box in the g...

A:

Q: (b) If u =x cosy+ ye», where x=s+2 and y= st, prove that 2- ds du - (s - 21) (* siny-xye -e").

A:

Q: Evaluate | F • dr where F (0, y, – 4x), and C' is given by - F(t) = (t, sin(t), cos(t)), 0 <t<

A:

Q: Graph the line x - 2y = 4 and find its intercepts.

A:

Q: Find dy of Using first principles

A: