The vector [6, j, 1] is perpendicular to the vector [-5, 2, 3]. What is the value of j? 06 O None of the options listed Oo 01

Q: Find the average value of the function over the given interval. (Round your answer to three decimal…

A:

Q: 1. S(√t -√² + ³√³) dt

A: Solution:- Step:1                    1.         ∫(t -t23+t35 ) dt

Q: g(x) = (9) Find the critical values for x² + 4x+4 X

A:

Q: (2x² + 2xy + y²) dx + (x² + 2xy - y²) dy = 0

A:

Q: 12. What is the minimum value of the parabola ? 5 0 LO a) x = 3.9 b) y = 3 c) x = 2 d) There is no…

A: We have to find out the minimum value

Q: lve y' = 14xy – 2x, y(0) = 11 x) =

A: Topic:- application of integration

Q: The magnitude of the vectors and are 2 and 11 respectively, and the angle between them is 53º.…

A: Given, |u|=2, |v|=11 Angle between u and v is θ=53°.

Q: Question 5 b)

A: Please see the below picture for detailed solution.

Q: Convert the polar equation to a rectangular equation. Then use a rectangular coordinate system to…

A:

Q: (3 Ln3 Se ad et +y -4n3 dx 2LnX e .dx 2₂2 √√2 Sxe (4) _x xé dx [Lnce)-Lnce") dx

A: As per our company's guidelines, we can solve only three subparts, please repost other parts as the…

Q: For the following functions, state the domain of y, find dy dx and its domain. 279. y=sin-¹(x²) 280.…

A:

Q: -5 -4 -3 -2 -1 5 4 3+ 2+ 1+ -2- -3+ -4 -5+ ܐ 2 3 4 5

A:

Q: - TT V(s) ³3² В where s denotes the length of the edge of the cube. Find ß. = $3

A: Given Vs=β-πβs3

Q: 1.4 1.5 1.6 Will the Anderson family make a surplus or deficit for the month of June? Show…

A: Given: Total income and total expenditure.

Q: 3 (a) Find general solutions of the given differential equations: (i) y'"-6y' +9y = 0, (ii) y" - 6y'…

A: Note:-  As per your request i have done both sub parts of part (a)

Q: 4 Jo - xp (x), us (A) TWEN 6 2 (8) 7 (8) 46 9 3 (C) 0 (C) 0 (D) 1 (a)

A:

Q: sina sin 2a lim α-0 1-cos a

A:

Q: 2 Evaluate the following integrals 10 S log₁0 (lox) dx 170 X

A: We need to evaluate integral. NOTE - As per Bartleby's guidelines we can solve one question from…

Q: The Maclaurin series of g(x) = sin (x) is

A:

Q: Which of the ff double integrals has bounds that represents the Region A a. b. y [ -6 y = 2x [ f(x,…

A:

Q: 2.3 2.3.1 2.3.2 Mr. Anderson wants to set up a vegetable garden on the leftover land in his yard. He…

A: Let's solve area for rectangle and circle.

Q: A dollar store finds the daily demand for any of their products is given by D(x) = 120 + 15x - x².…

A:

Q: 1 The length of the curve y = x³ + x¹ from x = 3 to x = 4 is: a. b. C. d. 145 16 257 12 99 8 593 48

A:

Q: he limit (if it exists). (If an answer does not exist, enter DNE. Round your answer to four decimal…

A:

Q: Find the one-sided limit (if it exists). (If the limit does not exist, enter DNE.) -3 lim x-4-(x-4)²

A:

Q: 3. Which of the following is TRUE about the parabola for the function f(x) = 2(x + 3)² + 6 a) the…

A:

Q: 2. How much money is needed to establish a fund that pays a research scholarship of $10,000 each…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Write z₁ and 2₂ in polar form. Z₁ = Z2 = Find the product 2₁2₂ and the quotients and (Express your…

A:

Q: Explain how the following limit works and what it is used for. f(x +h)-f(x) lim hs0

A: Topic:- derivatives

Q: Demonstrate that the function f(x)= e^-x sin (x) is a solution for the differential equation f(x) +…

A:

Q: 7/2012 - y x² + y² (²) di dx + (ye³ +2²) dy = 0

A:

Q: Find the volume of the solid with the order dzdydx bounded by x2  + y2  = 4 and the planes x + z=2,…

A: Given x2+y2=4 x+z=2 x=0, y=0 and z=0

Q: 4) Differentiate each of the following: a) y = - cos²x c) f(0) = sin(20 — π) e) y = (52)²x g) y =…

A:

Q: If f(x) = 1 and g(x)=x² +2, then go f may be expressed as x-2 g(f(x)) = axa +2ßx+y xa + Bx-ß Find a…

A:

Q: ess the function G in the form fog. (Enter your answers as a comma-separated list. Use non-identity…

A:

Q: 10 f(x) 10 5 -10 10 X

A:

Q: 21. y = sech(√√x)

A:

Q: II. Evaluate the following integrals: 7 ax 52X+7 13. [ sin x 2 - cosX (1x dx 14. S MA sec² 3x -dx 1…

A:

Q: QUESTION 2 Mr. Anderson plans to build his house on a piece of land with a total measured space of…

A: We have to find the meaning of total measured space and find the free space.

Q: Use the law of sines to solve the triangle, if possible. B=44°, C = 27°, b=30

A: Recall: Sum of angles of triangle is 180 degrees.

Q: Find the area of the surface generated when the given curve is revolved about the given axis. 5 9…

A: Use formula of area of surface generated about y axis

Q: State the domain of the graphed function: -5 -5- 0 -5 -10- 5 10 15

A:

Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: The given integral ∫2x2+4x-3x-7dx use the integral formulas, ∫udu=un+1n+1+C∫du=u+C∫duu=lnu+C

Q: Find the equation of the tangent line to y=−6/x^2 at x=−2. Write your answer in slope-intercept…

A: The equation of the curve is y = -6x2 To evaluate: The equation of the tangent line to the given…

Q: Evaluate the following integrals: 3.f 2. S dx 4 sin x-3 cos x cos xdx 2-cos x

A:

Q: Find the point on the line 3x + 3y - 3 = 0 which is closest to the point (-2, 1). )

A: To find closest point on the line, draw perpendicular from the given point to the given line. The…

Q: If the vector equation of a line is 7=(3, -5)+t(-2, 3), t€ R. the parametric equations are Ox=3-2t,…

A: Topic:- application of geometry

Q: .find g(-4),g(-2),g(0),g(2) and g(4). 2. find the domain and range of g. (Use interval notation)…

A:

Q: The function f is defined as follows. - 3x + 4 if x < 1 2x - 1 if x 21 (a) Find the domain of the…

A:

Q: Find an expression for a cubic function fif f(1) = 36 and f(-5) = f(0) = f(2) = 0. f(x) = Need Help?…

A: