Find a . b. a = (-3,-1), b = (-1,8)

Q: Solve the exact equation ( 1⁄2 + 2x) dx + ( + + 2y) dy = 0. x Y The solutions are of the form F(x,…

A:

Q: ← Suppose the position of an object moving in a straight line is given by s(t) = 1² -1² + 6. Find…

A:

Q: how to expand (1-y)^1/2 in powers of y. please solve it in details, I don't just need the final…

A:

Q: The unit tangent vector to the curve r(t) = ⟨2 cos t, 1 + t, 1 − 2 sin t⟩ at t = π/2 is

A:

Q: 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, and 40 Refer to the figure and find the volume generated…

A:

Q: What do we use the chain rule for?

A: Here is the solution:

Q: 2. Use the shell method to find the volume of the solid generated by revolving the region bounded by…

A:

Q: 42. y = 0, y = cos² x, -π/2<x< π/2 a. About the x-axis

A: Given y = cos2xy = 0 -π2≤ x ≤ π2

Q: Write an equation of the line that passes through the points. Use the slope-intercept form (if…

A:

Q: Problem 3. where find 8² z Ətəs If z = xey x = p² + s² + t² and y=2rst

A: We need to find second partial derivative of 'z' w.r.t. 't' and 's'.

Q: The function h is given by h(x) = x5 + 3x - 2 and h(1) = 2. If h-1 is the inverse of h, what is the…

A:

Q: ENTERING INTERVAL ANSWERS For intervals of values, enter your answer using interval notation. Here…

A: Given query is to write the inequality in interval notation

Q: Sketch a graph of the following ellipse. Find the center, vertices, and foci per class methods. (? −…

A: As per our guidelines we are allowed to answer only one question. Kindly repost the other question…

Q: Suppose you want to start saving for retirement. You decide to continuously invest $25000 of your…

A: Given P = 25000 r = 6%

Q: Suppose the speed of a car approaching a stop sign is given by v(t) = (t-20)², for 0 st≤ 20, where t…

A: Please see the below picture for detailed solution.

Q: Find the indicated partial derivative. R(s, t) = tes/t; R₂(0, 3) R₂(0, 3) =

A:

Q: Let (i) g(x) = = (ii) (a) Evaluate each of the following, if it exists. (If an answer does not…

A: As per Bartleby answering guidelines if multiple sub part question are posted in single pic then the…

Q: Find T, N, and ê for the space curve, where t> 0. r(t) = (6 cos t+ 6t sin t)i + (6 sin t - 6t cos…

A:

Q: Solve the exact differential equation (-5 sin(x) - y sin(x) + 4 cos(x)) dx + (cos(x))dy = 0 where…

A:

Q: Linear approximations with the tangent plane (Textbook) xy 4 Find the linear approximation to the…

A: To find the linear approximation to the equation fx, y=3xy4 at the point 8, 2,  and by using it to…

Q: 2. Let g(x) be given by the graph below. Find the average rate of change in g on the intervals: (a)…

A:

Q: Consider the following equation of a line. 4x + 2 = 0 (a) Find the slope and y-intercept (if…

A: Consider the following equation of a line. 4x+2=0 (a) To find the slope and y-intercept (if…

Q: 6. Let y=f(x) be the solution to the differential equation 2x-y+2 dx with the initial condition…

A: We have no. Of steps =h  And we have to find y(3).

Q: Compute the product using the methods below. If a product is undefined, explain why. a. The…

A: Given :- 62-3-4534-3

Q: Convert the point from rectangular coordinates to spherical coordinates. (−5, −5, sqrt(13))

A: Given query is y to find spherical coordinates.

Q: the region bounded by the given curves about

A:

Q: Using derivative rules (NOT definition of the derivative), prove that (secx)' = sec x tan x. Hint:…

A: We have to prove that secx'=secx·tanx, by using the derivative rule without using the definition of…

Q: (b) lim x+4+ 1- x

A:

Q: If x1, x2 are the solutions of the equation 740² 1 496+1 compute the value of x1 + 12.

A:

Q: TIOTO 15 UTO IN ODIO DOON. HIMPRESORA vyootans boonsavdia unu Q1. A function can be visualized as a…

A: Given function is f(x) = 3x-1. It is defined for all x€R.

Q: In an effort to reduce its inventory, a warehouse runs a sale on its least popular Blu-ray discs.…

A:

Q: Find the linear approximation of the function below at the indicated point. f(x, y) = V 29x²4y² at…

A:

Q: Find the slope, m, of the tangent to the curve y = 7 + 5x² − 2x³ at the point where x = a. 10a-6h² m…

A: Given query is to find the slope of the tangent.

Q: Let f(x, y) = x³ + 2y²x + y³ + 2x, then a) the gradient Vf(xo, yo) is equal to the null vector at a…

A: Given: let f(x,y)= x3+2y2x+y3+2x

Q: Tan Company purchased a large server for $21,500. The company paid 40.00% of the value as a…

A: t

Q: S 2 x3 dx

A: Given :∫-2x3dx

Q: Give reasons for each of the following steps. Use the given list of reasons on the right and enter…

A: Please see the below picture for detailed solution.

Q: The trajectories of two particles are given by the vector functions r1(t) = and r2(t) = Do the…

A: To find the point of intersection of the  vector functions r1(t) and r2(t) , equate r1(t) and r2(t)…

Q: Find the second derivative of f(x) = 2 sin(4x). Enclose arguments of functions in parentheses. For…

A:

Q: 3. A horizontal line through the point (4, 6) is defined by which equation? Ο Α r = 4 OB. x 6 Ocy 4…

A:

Q: From the top of a 198-ft lighthouse, the angle of depression to a ship in the ocean is 22º. How far…

A: Given: From the top of a 198-ft lighthouse, the angle of depression to a ship in the ocean is 22°.

Q: For the following exercises, assume that f(x) and g(x) are both differentiable functions for all x.…

A:

Q: Assume that functions graph of F(x) = f(x)g(x) f and g are differentiable with f(5) = 3, f'(5) = 3,…

A: At x = 5, F(5) = f(5)g(5) = 3 * -4 = -12 The slope of the tangent at the graph of the function F(x)…

Q: 21. If ƒ(x) = 3x² – x³, find ƒ' (1) and use it to find an equation of the tangent line to the curve…

A:

Q: Write out the form of the partial fraction decomposition of the function (See Example). Do not…

A:

Q: The displacement (in meters) of a particle moving in a straight line is given by the equation of…

A:

Q: 7. A function f has a Maclaurin series given by x³ + x²x² 5 X' 3! 5! n 2n+3 (-1)"x²+3 X (2n + 1)!…

A:

Q: Which of the following is an expression for the arc length of the curve r(t) = over the interval 0…

A: Given equation of curve is r(t)=2t2+1,2t2-1,t3 and interval is 0≤t≤3.

Q: Find an equation for the line that passes through the points (-1,0) and (9, 30).

A:

Q: Find the differential of the function w = = x² sin(y¹z³) dw dx+ P dy+

A: