Write an equation for line L in point-slope form and slope-intercept form. L is parallel to y = 2x. -6 Ay 6- 4+ 2- y = 2x (1,-1) Q Q Write an equation for line L in point-slope form. (Simplify your answer. Use integers or fractions for any numbers in the equation.)

Q: Answers are there but show the solution

A: Evaluate each of the following integrals. (2). ∫cos3x dx (3).  ∫cos3y sin3y dy

Q: 16. Let / be a differentiable function such that 6x³in (4x) dx = 2x'in (4x)-[2x'g(x) dx What could…

A: given; Integration of 6x2ln(4x)dx=2x3ln(4x)- integration of 2x3g(x)dx.

Q: 6. mv² e 2kT dv (where m, k, and T are constants) [ v3 e

A:

Q: 4. Find the derivative of the following functions 1 a) f(x) = 2x¹ − 5x³ + x² − 7x + 12 - b) f(x) —…

A:

Q: 37. At a certain construction site, the rate at which dirt is being extracted from a hole (in tons…

A: Given that the extracted dirt by excavator defined by D(t)=sin(t)cos(t)+32t also the removed dirt by…

Q: Determine the domain and range of f(x) given the graph: 1 f9(x)= 2 x+1

A:

Q: Determine the value of k such that y = 4x²_3e²r is a solution to x(1-x)y"+ (2x² − 1) y' + k (2x −…

A:

Q: 15. Determine the particular solution of the following differential Where: x=0; y=1 Provide your own…

A:

Q: 113 = 4 2x+1+√x (x+1)(1+√x) dx

A: Use substitution method

Q: Evaluate the multiple integral X COS [ f(1/4) y dy de sin(5/4) 2 Enter the numerical value accurate…

A:

Q: Problem 1: Using differentials, approximate the change in the total surface area of a parallelepiped…

A:

Q: 1. Suppose that g(x) - 2 ≤ 3(x-1)² for all x. Find lim g(x). Justify every step.

A:

Q: Let f(x) = 3x² -6x+7. You must show all your algebra. is worth zero points. a) Find the axis of…

A:

Q: Find the truth set of the predicate in the domain of integers. P(x): x^2 > x

A: The given statement is: P(x): x2>x

Q: Let P be a point on the parabola y = 4x2, and let Q be the point where the perpendicular bisector of…

A:

Q: Determine the two-variable function F(x, y) if Fy (x, y) = y sin(xy) + x given that x^2 + πχ2 F(x₁ -…

A:

Q: What is the angle in radians between the vectors a = (8, -1, -3) and b = (7, 7, -3)? Angle:…

A:

Q: Determine the value of k such that y=(1-sinx) * is a solution to 2y'=y³cosr

A:

Q: Which of the following is the differential equation of the family of parabolas with vertex on the…

A:

Q: 14. f(x) is a function with the following properties: f(x) has a local minimum at x=-1 f(x) is…

A:

Q: DO

A:

Q: 15. Determine the particular solution of the following differential equation: y'=(2x+3)(y2-4) Where:…

A: Topic = Differential equation

Q: Solve the given equation or inequality graphically. Enter your answers as a comma-separated list.…

A:

Q: Eliminate the constant: 3r y=c₁₂e²²+c₁₂e² Oy"+y'-6y=0 Oy"+ 5y¹+6y=0 Oy"-5y¹+6y=0 Oy"-y'-6y=0

A:

Q: 1-(SXOM) 2

A: Find the value of (w^0x^5)^-1

Q: C2 Y = C₁ cotx + C₂ C SC X

A: The equation is, y=c1cot x+c2csc x Differentiate the equation with respect to x.…

Q: 3. -1 y 2- 0 y=(x-1)² +2 12 X

A: We know that the volume of the solid formed by revolving the region bounded by the curve y=f(x) and…

Q: 23. Determine the particular solution of the following differential equation: y'= 2yx. Where:…

A:

Q: (x, y, z) = 2x²y — xz² + 3y²z. Xyx

A:

Q: Eliminate the arbitrary constants of the following. Simplify your answers.   y = e^x (c1cos2x +…

A:

Q: How to 3x-2 gel 8x +4

A:

Q: ) At an annual compound interest rate of 3%, how long will it take you to double your money?…

A:

Q: A. II B. \mbox{II & III) C. III 18 The graph of f' is shown above. Which of the following statements…

A: We have given graph of the function f' From given graph  f'x=0 at x=2 (i) Function has a inflection…

Q: (6x² - y + 3)dx + (3y² - x - 2)dy = 0

A:

Q: 5) Use the fact that 6i is a zero of f(x)=x³-2x²+36x-72 to find the remaining zeros.

A:

Q: Problem 3: Determine the two-variable function F(x, y) if F₂(x, y) = xexy - y given that F (₁,₁Y) =…

A:

Q: (1 For what value(s) of t does the equality hold true? t = (If there are more than one value,…

A:

Q: 7. 5400х4 -

A: Find the value of sqrt(400x^4)

Q: Consider the following system of linear equations given in a matrix form: 1 2 0 0 0 0 1 0 0 0 1 0…

A: The given system in matrix form is: 1200|30010|10001|1

Q: x + 7x² + 3x x3+5x Determine the number of discontinuities of f(x). Consider the function f(x) =…

A: Given query is to find the value of x where function is discontinuous.

Q: x+3x²y²+y+ xay 5. y' mi

A:

Q: 8. f(x) = sin² (tan4x)

A:

Q: Consider the following sequence: (an) = = {n-n²} Use an+1-a, to show that the given sequence (a) is…

A: Given :

Q: no di limons Timons L dX [ 2 AO 39. Find an equation of the tangent line to the graph of y = f(x) at…

A:

Q: Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of…

A: The given region is bounded by the function: f(x)=x2+2        for  0≤x≤3

Q: Given the following differential equations: (A) x- = 2x + 3xy², dx da dt Identify the linear…

A: Solution is given below:

Q: 3. W ²2/2 √ 32 - W ²2/2 √ 50

A: Find the value of w^(3/2) sqrt(32) - w^(3/2) sqrt(50)

Q: Using differentials, approximate the change, in terms of ?, in the total surface area of a closed…

A:

Q: ANS: Try these! Solve the following equations 1) 2(y + 1)ex dx + 2(ex − 2y)dy = 0 1 2 (exy +ex -…

A: Given: The given differential equation 2y+1exdx+2ex-2ydy=0 To find: To find the solution of the…

Q: Plot the point with spherical coordinates (2, -5pi/6, pi/6) and describe its location in both…

A: The objective is to plot the point with spherical coordinates 2,-5π6,π6 and describe its location in…