Find the scalar equation for each line: (a) a line through the point (-6, 7) with direction vector (-5,3)

Q: Eliminate the parameter t from the parametric equation x = 3 sint y = 3 cost 0 ≤t≤ 2π.

A:

Q: [2 + m 3 1. Given A= 1 a. (AB)¹ - A 1 2 -1 -1 4 5+ ml and B = [-1-m 2 91 3 5+m 3 0+m 6 11 Find the…

A: According to Bartleby guidelines I can only answer the first question of the given three questions.

Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

A: Follow the procedure given below.

Q: Question Integrate (three) of the following integrals: 1) f sin6x cos3x dx 2) f x√√x + 1 dx cos2x…

A:

Q: Lecture 1: exercise solutions = sin(x) x² with an initial 1.ii. Use the Newton-Raphson method to…

A: The given problem is solved below in detail.

Q: S 2 x² dx x² 2 -9

A: Given,∫x2x2-9dx

Q: Find the centre and radius of the circle x² + y2² - 4x+6y-23 = 0. O centre (2,-3), radius 6 O centre…

A:

Q: The surface of the sun has dark areas known as sunspots that are cooler than the rest of the sun’s…

A: As per guidelines, we are going to solve only one problem. So please repost the other problems…

Q: The Area bounded by the parabola ay=x^2, the x-axis, and the line x=b is revolved about the x-axis,…

A: Given, Parabola- y=f(x)=x²/a Line- x=b Revolved about x-axis

Q: 5. Find the Taylor expansion of f(x)=x² - 2x + 4 at x = 2.

A: To find the Taylor expansion of fx=x2-2x+4 at x=2.

Q: min

A: Please refer to the image below

Q: 5. Find the volume of the solid in the first octant bounded by the two cylinders x²+y²=4 and…

A: I am attaching image so that you understand each and every step.

Q: Complete the table after finding a simplified form of the difference quotient. 5) For the function…

A: f'(x) ={ f(x+h)-f(x)}/h

Q: Question 13 Which of the following satisfies the differential equation d²y dx² A. y = e³r B.y = e-3r…

A:

Q: J sec x dx Vin (secx + tan x)

A: As per the instruction, we will be answering the first question. For (4),      ∫secxlnsecx+tanxdxLet…

Q: Let the vector v have an initial point at (5, −3) and a terminal point at (1, —8). Determine the…

A: Determine the components of vector V

Q: The plane x + y + 2z = 2 intersects the paraboloid z = x² + y² in an ellipse. Use Lagrange…

A:

Q: Evaluate the integral. Please show step by step! S sin x 1-2 sin² x cos²x dx

A: I am attaching image so that you understand each and every step.

Q: TOOTOT E) Evaluate the triple integral on the left in each of the following: (a) fffdz dx dy = 1 (b)…

A: Given problem:-

Q: Find the vector equation of the plane that contains the line = [2,0,5] + t[2,-1,3] and passes…

A:

Q: x-y (x,y) →(0.0) x + y 2.) Prove that lim does not exist.

A:

Q: b) Use chain rule 1 y= LESANNE aretan u where u eª ue

A:

Q: V = πT -0.5x Sin 4x 4 +8x-cos2x 2 - X²-4 2²- 19.5x 1.478 -1-082

A: To determine the limit of the following equation.V=π-0.5×sin 4x4+8×-cos…

Q: Convert the rectangular coordinates (4, 0) into polar form. Express the angle using radians in terms…

A:

Q: of the points where the parametric equation y = 3 cost 0≤t≤ 2T will have a horizontal tangent.…

A:

Q: Find the particular solution of the following differential equations with the given condition. 3) dy…

A:

Q: 1 B) Find all of the second derivatives for f(x, y) = (3xy² + 2xy + x²) In; x²+y²

A: To find all the second derivatives for fx, y=3xy2+2xy+x2 ln1x2+y2.

Q: The graphs of a quadratic function and a cubic function are shown below. Both graphs have integral…

A: Given problem:-

Q: Determine the equation of the ellipse with foci (-8, 14) and (-8, -16), and co- vertices (0, -1) and…

A:

Q: Solve the equation using Exponential Shift (D² - 2D + 2) y = 12x³e²x O y = e (c! COSx + c2 sinx) +…

A: Answer is given.

Q: Determine the thirteenth term in the sequence whose nth term is an= -6n a. -66 b. 19 c. -78 d. 94

A:

Q: y = x² and x² = y

A: Area of the bounded region is

Q: Find the directional derivative Duf (2,0) where, f(x, y) = xexy + y and u is the unit vector in the…

A:

Q: If r(t) = (3t, 2t², 4t³), find r'(t), T(1), r"(t), and r'(t) x r"(t). r' (t) = T(1) = r"(t) = r'(t)…

A:

Q: A company produces a special new type of TV. The company has fixed costs of $480,000, and it costs…

A:

Q: 2. Evaluate x sin ædr using integration by parts.

A: Given: I=∫xsinxdx   We know the basic integration formula. ∫sinxdx=-cosx+C∫cosxdx=sinx+C

Q: 2. The graph of f(x) is shown to the right and has the following characteristics. 100 f(x) = x55x4 +…

A: We can solve this as follows:

Q: Find the points on the cardioid r = sin(2θ) where the tangent line is horizontal. Draw.

A: We have to draw the cardioid r=sin(2 theta)  And find the point where the tangent line is…

Q: 9 The slope of the function ƒ (x) = 8 - 2x is _____. -8 -2 2 8

A: here we have to find the slope of function  so we have to find dy/dx so differentiate the function

Q: Identify the theorem: If S is the boundary surface of a solid E in 3-dimensional space, then SS, F.…

A:

Q: 8- Find the derivative of (x²+1)x

A:

Q: Find the average value of: f(x) = 9 sin x + 8 cos a on the interval [0, 8π/6] Average value=

A: The average value of fx=9sinx+8cosx on the interval 0,8π6

Q: Find the one-sided limits of f(x). Step 2 of 2: Find lim_ f(x). X→-7+ Answer 4 Points f(x) = -7x - 3…

A:

Q: y = e²x and x - 2y + 5 = 0

A: x-2y+5=02y=x+5y=x+52The equations are: y=x+52y=e2x

Q: Evaluate the double integral over the given region R. xy SS dA x² + 1 R xy SS dA= x² + 1 R (Type an…

A:

Q: Step 4 of 4: Find lim f(x). x-3 Enable Zoom/Pan 10 -5 10 Keypac Keyboard Shortc Selecting a radio…

A:

Q: A company produces a special new type of TV. The company has fixed costs of $476,000, and it costs…

A:

Q: Evaluate the integral f [[ - Y sin(x²)dxdy.

A:

Q: Let the vector v have an initial point at (2, −6) and a terminal point at (6, –4). Determine the…

A: To find out the components of vector v.

Q: At 12:00 noon, there were 225 bacteria present. By 4:00 pm, there were 427 bacteria. If the bacteria…

A: