Determine whether u and v are orthogonal, parallel, or neither. u = (2, 15) - (-) 3 v = O parallel O orthogonal O nither

Q: ax +3, if x <2 f(x) = lox²+2, if x 22 It is given that f(1)=5 and f(2)= 6. Find the value of f(a+b).…

A:

Q: 1. Determine the interval in which the unique solution of the initial value problem exists. (You do…

A:

Q: 2x find fz" a x dx

A:

Q: x2 In solving for the antiderivative of f(x) = Fusing trigonometric substitution, Jf(x)dx is…

A:

Q: dæ Evaluate: æ/9x² + 4 9x2 + 4+ 2 + C V A f (x) = -4 ln 3.x f (x) = -2 ln V9x2 + 4 + 2 + C None of…

A:

Q: Let x = 1.57 and y = 4.55. Determine the value of C when you evaluate J cot-(2x)dx. (use radian form…

A:

Q: Evaluate each of the following indefinite integrals: Show complete and detailed solutions. Express…

A:

Q: Determine constants A and B such that the given piecewise function is continuous for all x. -1 if x…

A: Given query is to find the value of A and B.

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

A:

Q: Verify that the two planes are parallel. -x + 6y + 2z = 6 - -x + 3y + z = 7 Find the normal vector,…

A:

Q: Given that lim f(x) = 0 lim g(x) = 0 Xa lim h(x) = 1 xa lim p(x) = 0 lim g(x) = 0, evaluate if the…

A:

Q: 2-/2x +1 Let F(x,y) = C be the antiderivative of f(x) = What is the value of C if x=12 and y=8 ?…

A: It is given that, Fx,y=C be the antiderivative of fx=2-2x+13-2x.   The objective is to find the…

Q: Determine the value of C in on the antiderivative of F(x) = sin°(x)cos*(x) for x = 0.125 and y =…

A: The given fuction,  F(x)=sin3x cos4x

Q: Is this improper integral type 1 or 2

A: To tell whether the given improper integral is of type 1 or type 2. Definition of an Improper…

Q: .... Choos

A:

Q: Use the Root test to determine whether each of the following series conve n" (5n - Зп3 a) 231+2n b)…

A: We can solve the given problem as follows:

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = e2x + e-x (a) Find the…

A:

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: Given problem:-

Q: 25.In solving r In(In x) dx , which substitution should be used? O A. u = In(In æ) In a O B. U = Oc.…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 1 Which of the following is the antiderivative of f (x) = (x+ 2). ? - Vx + 2 = « (1n (\ &a+ 2+1) +…

A: To find the antiderivative.

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

A: To evalaue the given limit.limx→01+7x-1-4xx

Q: Evaluate each of the following indefinite integrals: Show complete and detailed solutions. Express…

A:

Q: e antiderivative of f (x) = is (x – 3)2 (x – 2) A) None of the given choices x – 3 7 + x – 3 - F (x)…

A:

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A:

Q: Let x = 1.84 and y = 3.72. Determine the value of C when you evaluate cot *(2x)dx, (use radian form…

A:

Q: Which of the following is true? 10 @ Jsin*(x)cos°(x)dx = - cos (x) , cosº(x) cos(x) + C 4 10 (B) All…

A:

Q: 1196) The line, x-ky^2 shown in Fig 1185, is rotated about the x axis to form Find the volume…

A: Given that the line x=ky2 is rotated about the x-axis to form volume.

Q: c) f (x) = cos²(10x)

A:

Q: Find the gradient of the function at the given point. In(x² – y) – 6, (2, 3) z = Vz(2, 3) =

A:

Q: Which of the following is true? A Jcos(3x)cos(4x)ax = [ cos(x) + cos(7x), 2 ® Jsin(3x)sin(4x)dx = […

A:

Q: 3. y = x2 + 5x and y = 3 – x -

A:

Q: 2, |-7- 8X-xT

A: Let's find.

Q: Find the linearization L(x) of the given function for the given value of a. f(x) = 10/x, a = 25 L(x)…

A:

Q: -1/2 p. Find the coefficient of x" in the expansion of (1– 4x)2.

A:

Q: 5. Jimbo runs a lemonade stand where he sells 150 cups of lemonade a day, charging $8.00 a cup. His…

A: To calculate the Price function and the marginal revenue.

Q: Is to find the indicated extrema of f subject to two constraints, agsuming that x, Y, and z are…

A:

Q: 2.x +1 The antiderivative of f(x) = is (x – 3)² (x – 2) 2 7 +C 3 A F (x) = 5 ln 3 | 3 + 2 В F (x) =…

A:

Q: What is the minimum point of the curve y = x2 – 6x + 4

A: The given function is: y=x2-6x+4   First, we have to find the critical points by solving dydx=0.

Q: S¥×(2x³ + 1)dx 3,

A:

Q: Consider the following. 7X - 6* lim x-0 4X - 3* Use l'Hospital's Rule to find the exact value of the…

A:

Q: A Trapezoidal trough is 10 ft long, 4 f wide at the top and 2 ft wide at the bottom and 2 ft deep.…

A: Given: A Trapezoidal trough is 10 ft long, 4 f wide at the top and 2 ft wide at the bottom and 2 ft…

Q: Determine the value of C in on the antiderivative of F(x) = sin (x)cos“(x) for x = 0.125 and y =…

A:

Q: 2. Given the function -a Show that

A: Note :-  Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find the gradient of the function at the given point. In(x² – y) – 3, (3, 8) z = 1 Vz(3, 8) = 2i

A: I have checked the work. Calculation is correct.

Q: Find the volume of the solid generated by revolving the region about the given line. The region in…

A:

Q: y(x) = tan(V3x² + In(5x*)} - In(5x'

A: Given,           yx=tan3x23+ln5x4To find : Find dydx of following functions by using Chain Rule.

Q: Consider the spiral given parametrically by x( t) = 5 e-0.5t sin( 2 t) y(t) = 5 e-0.5 t cos( 2 t) on…

A:

Q: 1. Differentiate each function. Simplify as much as possible and express all answers using positive…

A: a) h(x)=x37xDifferentiateh'(x)=3x27x+x37xln(7)

Q: The diagram below shows the curve with equation sin 0 <I< 2n. The shaded area A is the area under…

A:

Q: - y? = 4x, x = 0 to x = 4 %3D

A: To find the area of the region bounded by the given curves.