Vi +* +! dt f(x) = t2 a) Find f(2) Answer (Enter a number rounded to 2 digits after comma): f(2) = 4.858 b) Find f(3) Answer (Enter a number rounded to 2 digits after comma): c) Find a value of x for which the integral becomes zero. Answer: X = 1

Q: 12x2-5x+7 lim x++00 V9x²–7x+13

A: Hello learner, we can answer first question as per the honor policy. Please resubmit other question ...

Q: Determine if the given function is continuous at 3. * ( x + 7 |x – 2| f(x) = { x? – 2x x 3 9x 2х — 3

A:

Q: Consider the series (9x). n=0 (a) Find the series' radius and interval of convergence. (b) For what ...

A:

Q: lim f(x) 2. x2 6 7

A: Topic = Limits

Q: 1. The graph of a tunction f is displayed below What is the limit of f(=) approaches O? +++ i23 456 ...

A: Given question:- What is the limit of f(x) as x approches 0

Q: Use Lagrange multipliers to find the maximum and minimum values of the function f (x, y, z) = 2x + 2...

A:

Q: Find the series' interval of convergence and, within this interval, the sum of the series as a funct...

A: Find your answer below 

Q: -In²(Ine*) dx

A:

Q: Choose the angle (in radian) between the following two vectors u = (3, 7, – 8) and v= (-5, 4, - 3) O...

A:

Q: Evaluate the integral. tan(10 x) sec*(10 x) dx +C

A:

Q: A-f cos (x)sin³(x)dx e*cosh (3x) В- -dx cosh(x)+sinh(x)

A: ∫cos5xsin3xdx  

Q: et kdt k A True B) False

A: First we solve L.H.S then solve R.H.S . We use the formula integration of eat=eat/a

Q: Sketch the graph of the given function. Check your sketch using technology. g(t) = (a) Indicate the ...

A: ?As per our company guidelines we are supposed to answer only one question at time or moreover 3 sub...

Q: Give what is being asked. + g(x)|dæ, if g(x)dæ = 3? What is the value of 3

A: The integral is  ∫06 13+g(x)dx and ∫06 g(x)dx=3

Q: 1 Discuss the continuity of the function f(x) on the interval (0,2] and [-1,3] x2 -4

A: A function f(x) is said to be continuous in the closed interval [a,b] if→ f is continuous on (a,b).→...

Q: If a rock is thrown vertically upward from the surface of Mars with velocity of 25 m/s, its height (...

A: topic- derivatives and functions

Q: solve the following second-order differential equation. Make sure your solution set does not repeat ...

A:

Q: List the first five terms of the sequence : (-1)"n an n! +2 a1 = Number a2=Number az = Number a4 Num...

A: Given query is to find first 5 terms of the series.

Q: Another - the following. a) Set up an integral for the volume a solid torus (the donut-shaped solid ...

A: (a) To set: The integral for the volume of a solid torus. Given information: radii br and aR, a=7, b...

Q: the given point Find the gradient of the Function at 3x² -5y2 + 2z² (1,!,-2) %3D

A:

Q: Evaluate; In (sin²s ) sin2xdx sinx +C 3 A sin?x B) +C sin

A:

Q: dy 9ху — 5у dx

A:

Q: Use Lagrange multipliers to find the maximum and minimum values of the function f(x,y) = y² – x² sub...

A: Let's find. 

Q: The n-th term in a sequence an is given by an = 3-eol (a) Is this sequence increasing, decreasing or...

A: Given:           an = 3-e-3n (a) Here:      a1 = 3-e-3(1) =3-e-3        a2 = 3-e-3(2) =3-e-6       a...

Q: (a) Find the number of distinguishable permutations of the letters MISSISSIPPI. (b) In how many of t...

A: topic - permutations

Q: Given the differential equation y" - 5y' = 8x² + 5 sin(3x) Determine the differential operator for t...

A:

Q: A dancing contest has 11 competitors, of whom three are Americans, two are Mexicans, three are Russi...

A:

Q: The vectors u = (-7, 1, -2) and v = (-28, x, - 8) are parallel if and only if x = - 212 %3D Select o...

A:

Q: tan(tan3x)dx Evaluate: cos-3x -In |sec (tan3x)| + C (B ® - in [cos(tan3x)| + C © - sin( tan3x)| + c ...

A: We need to evaluate the following integral I = ∫tantan3xcos23xdx                            ...........

Q: Given the differential equation dy + 9ху%3D6ху3 dx

A:

Q: Find the area of the shaded region: y y = x - 15 x 20 10 y = x (4, 4) -6 2 4 6. (-4,-4) - 10 - 20

A: QUESTION-  Find the area of the shaded region

Q: | (x + cos? x) dæ + | (2 – sin? 2)dæ =? - 0, 3

A:

Q: Given the differential equation у" — у' — 12у %3D 7ез^ cos(x) Determine the Wronskian for the differ...

A: Solving wronskian

Q: write the following Integral as a limit (a) Determine whether the following Integrol Converges or di...

A:

Q: Find the divergence of the vector field V(x, y, z) = –5e*"i – e'0xyj + 4e®y=k. (Give an exact answer...

A:

Q: Solve the differential equation y'+xy=0 using power series.

A:

Q: sinx + coSX dx e-X + sinx + sinx

A:

Q: 3lnx +2x*dx A 3lnx B 2r4 D 3lnx+2x+ E) None

A: The given integral is  ∫e3lnx+2x4dx

Q: If the total revenue function for a computer is R(x) = 2600x - 11x2 - x3, find the level of sales, x...

A: Given problem:- If the total revenue function for a computer is R(x) = 2600x - 11x2 - x3 find the le...

Q: component form or standard basis vectors. Express numbers in exact form.

A:

Q: csc5x cot5x dx A csc5x B esc5x 3 -csc5x 3 D csc5x E) None

A: Given  ∫csc5x cot5x dx5csc5x3    

Q: У(4х + у)dx — 2(x2 — у)dy %3D0 - -

A:

Q: 1. If {an} converges, then {an} converges (C). An+1 Suppose that limn→ 00 1n|= . Then E1 n2"a, conve...

A: We have to determine whether,  1. If {an}  converges, then {an2} converges. True /false? And  2. If ...

Q: Find an approximation to V11 using 4 steps Bisection Algorithm

A:

Q: Question I L0, Write the following Integral as a limit 3. b Determime whe ther the following integra...

A:

Q: Evaluate the integral and find a + ß+p-o (1+ tan x)dx cos? xV5 – 3 tan2 x va Sa 1 arcsin 1 tan x) + ...

A: Given

Q: 2 3 2 Q5. Evaluate the value of integral |[xy'z dx dy dz . 0 11

A: I have stated the used formula in the solution

Q: How do i find the ral seros of  a given polynomial and their corresponding multiplicities? g(x)=x(x...

A: We have to find the zeroes and their multiplicities.

Q: х — 1 f(x) — {3х — 3 (-4х + 3 х 3

A:

Q: Given the differential equation dy + 4y = 5x dx

A: