Which of the following is a unit vector parallel to the vector<-8, 1,-4 >?

Q: 31. Determine the point of the plane T: 15x - 3y + 2z + 6 = 0 intersection of the line [x, y, z] =…

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Q: Find all solutions of the equation in the interval [0, 2π). 2sinxcos2x+2cosxsin2x=-1 Write all…

A: We have a given equation is  2sinx cos2x + 2cosx sin2x=-1

Q: 2xyy' + y² = 2x² separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y…

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Q: If w = f(r,s,t), r = x-y, s = y - z, t = z − x then aw дw ?x + О O -1 -2 Əw дz 1 2 (

A: It is given that, w=fr,s,t, r=x-y,s=y-z,t=z-x.   The objective is to find the value of…

Q: a = 6i + 4j + 8k and b = 9i – 6j + 12k. a) [ and b are orthogonal, parallel or neither. b)[ >]…

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Q: S 3 7 39+x² dx

A: We need to solve integral.

Q: Determine the point on the curve y = 19x² closest to the point (0, 5) with x>0. What is the slope of…

A: See this solution in below.

Q: Find a linear differential operator that annihilates the given function. 2.3 + e* cos 2x

A: Let, the given function:fx=3+excos 2x

Q: 10) If 2 an = 12, then lim an = 848 n=1 (A) 1 8 (A) If lim 11) Suppose an > 0. Which of the…

A: Note:Our guidelines we are supposed to answer only one question. Kindly repost other question as the…

Q: Suppose x-j, for j-0, 1, 2, 3 and it is known that Find Po123(1.5). P₁1(x)=x+1, P₁2(x)=3x-1, and…

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Q: The alternating series En-1 (-1)" is diverge. n³ 2n³+3 True O False

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Q: Evaluate the integral. 7/4 O O [(10sect)i-(3+ sin t)j - (2sec t tan t)k)]dt (2√√2-37-4 2 10i+ 10i +…

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Q: H.W: Find the center of mass of a solid of constant density & bounded below by the disk R: x² + y²…

A: We need to find center of mass.

Q: Find all solutions of the equation in the interval [0, 2π). cos3θcosθ+sin3θsinθ = -1 Write all…

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Q: The side of a regular pentagon is 25 cm. If the radius of its inscribed circle is 15 cm, find the…

A: Answer :- Given ,  The side of a regular pentagon is 25 cm  If the radius of its inscribed circle is…

Q: Solve the given initial-value problem. The DE is homogeneous. 3 xy² dy = y³ y -x - x³, y(1) = 3

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Q: mx + + 1) (x+1)^ then value of m +n is (where n is a prime number) X-2 dx equals ex + C

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Q: If the vectors a and b are such that |a| |b| = -5, and a b = 10, then the angle between the two…

A: We want to select the correct option.

Q: 6. Evaluate lim no 3n²-7n +41 2n² +42n- en

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Q: Solve through finite differences with four subintervals: + y = 0, y'(0) + X(0) = 2, dr² x ( + 7) + (…

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Q: Find all solutions of the equation in the interval [0, 2π). 2sin6θcos2θ - 2cos6θsin2θ = - √2 Write…

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Q: Solve the given diffential by variations of parameters 1. y" + y = cos x

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Q: cos² (x) + cos² (1) (x) cos³ IF .dx

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Q: Find and for the functions: of Əx af ду bren 2. f(x, y) = x² − xy + y² X (x² + ² noitonut sil 4.…

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Q: Barbara knows that she will need to buy a new car in 3 years. The car will cost $15,000 by then. How…

A: By using the compund interest formula

Q: The length of the curve r = sin² for the period 0 ≤ 0 ≤ π is 6 O 2 8 O 4 O None of them O

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Q: AXB=[% O O O O O Given the following matrices A-B-²3³] [8 12-241 So 16 24 -48 a. a=6, b=6 Ob. a= -6,…

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Q: Q4\Use Cramer's Rule to find the values of x, y, and z from the following equations: 2x + 3y - z = 1…

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Q: Three different forces act on an object. They are: F₁ = F₂ F3 Find the net force Fact on the…

A: Please refer to the image below

Q: Let à = (1, − 1, — 5) and 6 = ( – 5,0,− 1). Find the projection of b onto a. proj¡ b = >

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Q: (b) Use the Fundamental Theorem of Calculus to evaluate the integral .8 So da dx x-6 x+8

A: Need to use the fundamental theorem of calculus to solve this integral.

Q: The reverse order of sinx cos dxdy is sinx cos dydx S² x 2 1 y x -21 False O True O

A: Here is the solution:

Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

A: Given

Q: The particular solution (yp) of the equation y" − 3y' + 2y = 5 e* is yp = -5xex False True

A: Explanation of the answer is as follows

Q: \(\) The geometric representation of the equation -4x² - 4y² = -12 is not a cylinder in R². Select…

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Q: Question 2 Given the equation -4x² + 40x - 4y² - 32y - 4z² +24z = -200 ] Show that the given…

A: We find center and radius of the following sphere.…

Q: dx 16. S sin Ex di √x u= √√x du= I u 12/12 dx = ५५ -1/2 dx 2 би du YN

A: Solve the integration

Q: Question 2 [ Given the equation -5x² + 30x - 5y² - 10y - 5z² - 90z = 21 a) Show that the given…

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Q: Q2\ Choose true or false from the following sentences:- Matrix has only one row call Row Matrix.…

A: 1- true Matrix having 1 row is called row matrix.  2- true.  Gauss Jordan method is used to find…

Q: Evaluate the limit using L'Hospital's rule 1 lim 6xe - 6x x →

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Q: Graph the function. -4 X for -3 <x< -1 for -1<x< 1 -x²+1 for x ≥ 1 L X O

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

Q: If √√√1-y² the resulting of integral is x² + y² dxdy is changed to equivalent integral in polar…

A: if we change Cartesian coordinate to polar coordinates then  we write - X = rcos(theta) Y =…

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: Basic partial derivation is used.

Q: J sin²(x) cos(x) dx

A: We have to evaluate ∫sin2x cos2x dx.

Q: ·S In (x) vxln(x)-x X dx

A: We know that integration power rule is - Integration of xn is xn+1/n+1 + C . Here C is integration…

Q: Solve: y" - 6y + 15y = 2 sin 2t, y(0) = -1, y'(0) = -4

A: Let's solve given diffrential equation.

Q: (1) (x²+2x) dx = (3 - In x²) dy separable exact linear in x linear in y homogeneous Bernoulli in x…

A: As per our norms we have to write one question at a time kindly repost remaining questions.

Q: 1) / sen(x) 4+ cos²(x) I 1+4x² 2) [√5/2 S² 3) 0 4) 1 x² - 2x + 2 dx √ √2/2 are 0 X dr √2/2 arccos(x)…

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Q: Sketch the figures and show step by step solutions. Find the area lying above the x-axis and under…

A: We have to find area for given curves.

Q: Eliminate the parameter t to find a Cartesian equation in the form z = f(y) for: [z(t) = 3t² y(t) =…

A: We can express x in terms in terms of y as below.