Determine whether the plane passes through each point. x + 2y – 3z - 1 = 0 (a) (-4, 1, –1) O Yes O No (b) (4, 2, 3) O Yes O No (c) (-3, 1, -1) O Yes O No

Q: STUDY GUIDE Question 11-Find the coefficient a of the term in the expansion of the binomial. a.)…

A: The given question has been solved in detail.

Q: 3. Find the first 4 terms of the Maclaurin series expansion for each of the functions below. sin 2r…

A: We have to find the maclaurian series expansion.

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: Given: y=x+6, y=x, y=0   From the given curve and lines the bounded region is as shown below; Now…

Q: Consider the following. u = (1, 2, -3), v= (5, -1, 0) (a) Find the projection of u onto v. (b) Find…

A: I have appended the formula used in the solution part

Q: Find dy/dx by implicit differentiation. x5 + y6 - 63 dy/dx =

A:

Q: A particle travels along the x-axis such that its velocity is given by v(t) = t0:2 + 2 sin (t + 4).…

A:

Q: Determine whether u and v are orthogonal, parallel, or neither. u = (cos(0), sin(0), –8) v =…

A:

Q: -2 -1 1 3 6

A: Given Graph:- To find:-

Q: -2 -1 0 3 6 |

A: We have to find out the limit

Q: Suppose f''(r) = - 18z + 2, f'( – 1) = – 18, and f( – 1) = 1. Then f(r) =

A: See the answer below

Q: Give at least 3 examples of each type of matrices 3x3 and 4x4. 1. Idempotent Matrix

A: One example of 3x3 matrix is 123456789. One example of 4x4 matrix is 12345678912346789.

Q: b = 123,    c = 164,    ∠B = 40° ∠A1 = °      ∠A2 = ° ∠C1 = °      ∠C2 = ° a1 =        a2 =

A: To find out the remaining measures of the triangle.

Q: Haw.L Find minima, maxima and Saddte paints for the functionss foxy) -9x -4 xy १ Cx,५) = 2 L» x + L9…

A:

Q: Find parametricequations of the line that satisfies the stated conditions. The line through (8, 5)…

A: The vector equation of line L, passing through the point x0,y0 and parallel to the vector b=li+mj is…

Q: Determine whether u and v are orthogonal, parallel, or neither. u = (2, 27) (3 -) v = O parallel O…

A: u=2,27 v=32,-19

Q: Evaluate the definite integral two ways: First by a u-substitution in the definite integral and then…

A:

Q: The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing when the…

A: The radius of the sphere is increasing at a rate of 5mm/sits diameter is 80 mm

Q: 3. Express the following integral as a one-dimensional integral in term of r, where E is the region…

A:

Q: aluate the limit assuming that lim,→-4 f(x) = 5 and lim,→-4 g(x) = 2. se symbolic notation and…

A: Topic:- calculus

Q: Find parametric equations for the line whose vector equation is given. (а) (т, у) 3 (6, —5) + t(1,…

A:

Q: Evaluate the integral of the following sin42xcos³2x dx

A: We will evaluate the integral.

Q: 4x+1 b. g(x) 9x-2

A:

Q: For the functionf(x) given below, evaluate lim f(x) and lim f(). X-00 X→ー0 f(x) = –18x (x – 1) (x +…

A:

Q: Use Newton's method to find the two real solutions of the equation x* - 2x° – x - 3

A: Solving Newton method

Q: Consider the following. u = -6i – 2j – 4k, v = 2j + 2k (a) Find the projection of u onto v. (b) Find…

A:

Q: t2+1 = 0 dv Vt- dt V+1

A:

Q: 2(V3 – i) (1 + 1)?

A:

Q: Question 1 -x2 1 4a?t prove that VE If v = dv ôt

A:

Q: 4.(Straightforward) Determine if each of these differential equations is exact, and if so, solve it.…

A: To tell which of them are exact differential equation.

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A:

Q: siny dy 2. 3 |- cosy

A:

Q: Find the length of the arc of the given parabola: x²=4y from x=-2 to x=2

A: We know that the length of the arc of the parabola y=f(x) from x=a to x=b is given by L = ∫ab1+dydx2…

Q: wes You are to construct an ofen rectangul 22 of material what dimensions will resultin

A: We are asked to find the dimension of the rectangular box.

Q: Consider the following. u = -6i – 2j - 4k, v = 2j + 2k (a) Find the projection of u onto v. (b) Find…

A:

Q: Astivity 3 tind the dertve of 2メー3 う×ース enuing the definitiom -

A:

Q: 2. One ounce of cooked meat contains 7 grams of protein. If you are going to add Keto Chow into your…

A: Given information: 1 ounce of meat=7 gm of protein1 Keto diet=15% of total calorie required1 Keto…

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: We have to find the parametric equation and the symmetric form of equation of the line passing…

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A:

Q: Consider the following. u = -6i – 2j – 4k, v = 2j + 2k %3D (a) Find the projection of u onto v. (b)…

A: Given that u=-6i-2j-4kv=2j+2ka.projection of u onto…

Q: Find minima, makima and Snddle paint for the functionss 4x-6xy+ 5y-20 x +26y +34 f (X,y) 6x²-2x 2 2…

A: To find the maxima, minima, and saddle point for the given functions.

Q: 1 Lim x+0 sin'x 2. X. X

A:

Q: Consider the following planes. 3x + 4y - z = 56 x - 8y + 2z = 0 (a) Find the angle between the two…

A:

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: Parametric equation of a Line has of the form    x = x1+at  ; y=y1+bt ; z=z1+ct ; where ,…

Q: I. SOLVE THE FOLLOWING INDETERMINATE FORMS e* +e* – x? – 2 1) Lim sin? x– x? 2 x0

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: for what Vatuer of the constant(k) that the funstion fayt=x²+kxy +y will have a- Saddle Point…

A:

Q: Find y'. Given: y = -sin(4x)cot(4x) %3D

A:

Q: Determine whether u and v are orthogonal, parallel, or neither. u = (cos(8), sin(0), 7) v = (sin(0),…

A:

Q: B- Given 4x – 2y = 10 and 3x – 5y = 11, solve for x and y using Cramer's rule.

A: To solve given system of equations by Cramer's rule.

Q: manufacturer of lighting fixtures has daily production costs of C = 800 - 30x + 0.75x^2, where C is…

A: Given query is to find the value of x for minimum cost.

Q: 1. 4x°dx (2-x*) ° 6

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…