Find a vector perpendicular to the 2-space line: Qx - Ny + R = 0

Q: y = tan-¹(¹+x) -1

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

Q: Find the aera under the curve y = cosx fx sec²(ax² )dx a #0 Form x = 0 to x = 7/

A:

Q: 1745 into prime

A:

Q: Solve the following linear system by using Gauss elimination method 5x₁ + x₂ + x3 = 5 x₂ + 4x₂ + x3…

A:

Q: X (A) (2) +²2+ (x²+5)) 2x dx + (x+y)dy = 0 - 40 + (8 +)

A:

Q: Part 2. Find the Standard Equation 4. parabola with vertex at (5,4) and focus at (-3,4)

A: If the focus and the vertex has same y-coordinate then the equation of a parabola can be given as…

Q: C) If f(k)= k√a² - k² + a² sin-¹ df prove that -¹ (1) 2√a²k²,a is constant. dk

A: Use derivative concept

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10…

A:

Q: A 14-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

A:

Q: From the function f(x)= x3 -6x2 +9x -3 Determines monotony, maximum and minimum points, inflection…

A: From the function fx=x3-6x2+9x-3,To determine the monotony, maximum and minimum points, inflection…

Q: The 2000 census in a particular area gives us an age distribution that is approximately given (in…

A: Age distribution that is approximately given by the function,fx=40.3+2.17x-0.702x2

Q: 9 csc(x) dx csc (x) - cot(x) ||

A:

Q: What is S₁2 of the geometric sequence? Round to the nearest whole number. 16, 24, 36, 54, ...

A:

Q: Solve the following linear system by using Gauss elimination method 5x₁ + x₂ + x3 = 5 x₂ + 4x₂ + x3…

A: Given that,

Q: Find the particular solution to the differential equation dy dr sin(x)-3 that satisfies the…

A:

Q: An air traffic controller spots two airplanes at the same altitude converging to a point as they fly…

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

Q: Calculate the derivative. g" (0), g(s) = es S+9 (Give an exact answer. Use symbolic notation and…

A:

Q: (6) Solve the following differential equations of 1-(x+3x³ sin y) dx + (x* cos y)dy = 0 2−(2x² +…

A:

Q: An investor purchased a 93-day, Government of Canada T-bill that had a simple interest rate of 4.50%…

A: Given problem:- An investor purchased a 93-day, Government of Canada T-bill that had a simple…

Q: Find the cost function if the marginal cost function is C'(x) = 3x - 4 and the fixed cost is $8. ...…

A:

Q: 2) Find all the second-order partial derivatives of the functions: a. f(x, y) = tan-¹ b. h(x, y) =…

A:

Q: (3x²y + 2xy + y³) dx + (x² + y²)dy = 0

A:

Q: Problem 1: The graph of f and g are given. Use them to evaluate each limit, if it exists. If the…

A:

Q: For 16 years, Janet saved $250 at the beginning of every month in a fund that earned 5.75%…

A:

Q: 3. fsin (3x) cos(x + 1)dx

A:

Q: Prove that (AXB)×C=B(A • C)-C(A • B).

A: The solution is given in the next step.

Q: Which of the following represents the series? -12 + (-5)+2+9+16 O-19+7K 0-19-7K Am O-12+7K X-0…

A:

Q: Differentiate: 2. y = 7x²+2

A: given

Q: In Seln sin" x dx √√1-x

A:

Q: 1)lim (tanx) cos x+2 X-

A:

Q: Kelsey heard that she could triple her money in 11 years if she invested it in a large…

A:

Q: Onsider the vector between (-2,-5, -3) and (5, 10,7). 1. The vector is 2. The length of vis 3. If…

A: We have to find out length of vector As per guidelines we have to solve one question please repost…

Q: (2) Show that y=x sinx is a solution to y"+y= 2 cos x.

A: To Show: y=x sinx is a solution to y''+y=2cosx

Q: 4) Find the value of a for which the limit lim x→0 evaluate the limit. sin(ax)-sinx-x x3 is finite…

A:

Q: solve the following diff. eque. of едис. 2 -2 O x ý76 Xý tay =

A:

Q: Solve the initial-value problem. 3 dy + 3t²y = 2 cos(t), y(¹) = 0 dt

A:

Q: Calculate the higher derivatives. y = 7e¹ sin(t) (Use symbolic notation and fractions where needed.)…

A:

Q: How much did Speedy Movers borrow for a debt that accumulated to $58,040.76 in five years? The…

A: To find out the borrowed amount.

Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

A:

Q: Find the Volume, Surface area and Lateral area of the rectangular prism shown below if the height of…

A: Concept: The volume, surface area, and lateral surface area of the rectangular prism are:…

Q: Problem 2. Find an equation for the plane that passes through points (1,4, 1), (1, 7,3), (3, 9, 1)

A:

Q: 4. 4. f_x²dxdx (9-x²)

A:

Q: 2. Find the Laplace transform Y(s) of the solution y(t) of the initial value problem y"+4y=0,…

A: Apply Laplace transform on both sides

Q: Partial deviation Given z=f(x,y) = 6x-x2y2 + 3x3y. Find fx and fy.

A:

Q: 8.) √ √4x² - 64 dx

A: Given :∫4x2-64dx

Q: Find laplase 4-f(t)=e²¹.t³.

A:

Q: The zeros in the given matrix make its characteristic polynomial easy to calculate. Find the general…

A:

Q: 4. The number of people living in Canada rose by 1.2% to 38.5 million in 2021. If this population…

A:

Q: Question 2. Let f(x, y) = 5xy² + sin(x + y). Find the following: (a) The gradient of f(x, y). (b)…

A: as per company guidelines we solve only first three subparts when multiple parts question being…

Q: For Numbers 27-29. Suppose that a particle moves along a line with position s(t) = 2t² + 3t + 1…

A: