The symmetric equation of the line that passes by P(1, -1, 1) and Q(3, 2, -1) is: Select one: ㅇ블 x+1 0렇 3 O None of these ㅇ 렇 ㅇ 무 = = = x+1 x+1 10 = x+3 = = 1-x 2 = 1-x -2 1-x 무쓸 1-x -1

Q: Of all rectangles with a perimeter of 28​,which one has the maximum​ area? (Give the​ dimensions.)

A: We can find the dimensions as below.

Q: Problem 11.4. Find all local and global extrema of the following functions in the indicated regions…

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…

Q: 5. Obtain a polynomial P(x) such that f(x) = P₁(x) given the table -1 -3 x₁ f(x₂) -2 -13 1 -1 2 -9 3…

A:

Q: Q31 Find the Laplace Transform to the following function L sin2t cos3t

A: Given: Lsin2tcos3t

Q: The determinant for the following matrix is [511] L4 2 O C 10 2

A:

Q: Triple Integical пун Evaluate SS * cos(y) dz dx dy.

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Evaluate Solution √25 Let x = 5 sin(8), where 플 플 √25 - x² = √√√25 - 25 sin²(0) = √√25 cos² (8) =…

A: we have to solve the integral using substitution.

Q: 169 S 13 dx 3 x( In x)³

A:

Q: Given f''(x) = - 25 sin(5x) and f'(0) = 2 and f(0) = -6. Find f() =

A: In this question, we want to compute the value of f at the given point.

Q: <2, U = < 4, 5, x

A:

Q: In Bernoulli equation y' - xy = xy³, the value of 1(x) is ex² False True O

A:

Q: The triple integral ³(12xze²y²) dxdydz is equal to 3(e − 1) False O K True

A:

Q: If A is square matrix of order 3 such that|3 A| = 54. Find |A|

A: Using the properties of determinants

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: The value of limx→0 ex-1-x x² by using series is о о -1 O 0.5 O 1 O -0.5 O

A: Solving the following limit problem,

Q: S: x²(In x) dx

A: We can find the integration as below.

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

A:

Q: a) Find the value(s) of y such that the vectors U₁ = and U₂ = are parallel.

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

Q: Suppose H(x) = (1-2x)7. Find two functions fand g such that (fog)(x) = H (x). Neither function can…

A:

Q: Sxe 2x dx

A: Integration by parts: ∫u·v dx = u·∫v dx - ∫ddxu·∫v dx dx   We have to evaluate ∫x e-2x dx.

Q: solve 2x+1 = x2

A:

Q: Given the points A(-8, 2, 3) and B(-8, 2, -4). Question 3 a). Write parametric and symmetric…

A:

Q: The distance from the point P(2, 1, 0) to the plane 2x + y + 2z+ 6 = 0 is 3.7 True O False

A:

Q: 7. Obtain the MacLaurin series representation of f(x) = In(1-x).

A:

Q: Test the series below for convergence using the Ratio Test. n+ 3 3n+3 The limit of the ratio test…

A: you have entered value of an instead of f(n) .

Q: Find the area bounded by the given curves. y = x², y = 2x² - 3x A. 9.0 sq. units B. 40 so units CAF

A: We have to find area

Q: (h) x. yexy - x dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y…

A:

Q: L[-te-at * u(−t)]:

A: Solution given below

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: Evaluate the following integral using change of coordinates: SR S x³ + xy² dady where R is the…

A:

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

A:

Q: The graph of f-1 is given below. Graph the tangent line to f-1 at the point P(6, 1) for f(x) = -x² +…

A: Let's solve.

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: The reverse order of 2 2 1 Jo Jy x 1 sinx cos dxdy is sinx cos dydx False True O

A:

Q: (a) Use the Midpoint Rule with n = 6 to approximate integral S³ dx 8 x-6 6 x+8

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: The area enclosed by one petal of the polar curve r = cos20 is False True O

A:

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

A:

Q: Problem 1. Solve these integrals using substitution (a) [ x(x r(x - 2)5dx, (b) [te²³² test dt.

A:

Q: Evaluate the definite integral. 2 cot-¹(x) 1+x² 1 - 1 -dx

A: To evaluate the integral.

Q: Let a be a real number. Evaluate the following integral: Sofyx+y dady

A: ∫0a∫y-1y+1 x+ydxdy solve this double integration by first apply x integration and after with respect…

Q: + 3x + 2)dx 2.√ √x(x² – 3x

A: The integral is  ∫xx2-3x+2dx

Q: Differentiate tan (x¹3t) with respect to x, assuming that t is implicitly a function of x. dt (Use…

A:

Q: The Maclaurin series of the function f(x) = 8x² sin(8x) can be written as f(x) = Σ" 72=0 where a few…

A: Solution is given below:

Q: Given the points A(-8, 2, 3) and B(-8, 2, -4). Question 3 b) Find the intersection of the line…

A: Question 3.The given points A-8,2,3 and B-8,2,-4.

Q: The solution of Yh = e²x (c₁ cos x + C₂ sin x) homogeneous part (yh) of the equation y" - 2y' + 5y =…

A: Let's solve.

Q: Refer to the figure below. (a) Find the angle opposite the longest side. (b) Find the area of the…

A:

Q: Q4\Use Cramer's Rule to find the values of x, y, and z from the following equations:

A: We have to find the value of x, y,z from the given system of equation by the camer's rule.

Q: (a) Use the Midpoint Rule with n = 6 to approximate integral 8 x-6 So dx 6 x+8 Write your answer…

A:

Q: x fare cos = dx 2

A: Indefinite Integration

Q: If f(x, y) = 3x³ + y² - 9x + 4y, then the saddle point is (1, 2) O None of them O (1,-2) O (-1,-2) O…

A: