2-x Find the domain of f(x) = x2+18x-40

Q: (x³ + y³) dx - 3xy²dy = 0

A:

Q: A central angle is drawn in a or radius r, as in the figure below. (Use the following as necessary:…

A:

Q: Question 6 For the curve defined by r(t) = 4 cos (t) i + 4 sin(t) 3 + 5t k evaluate 8= = ₁ || (2) ||…

A:

Q: Calculate teh area and of the surface obtained by the rotating of the curve of the follwoing…

A: Given: f(x)=x+3, 0≤x≤1 We are required to: Calculate the area of surface obtained by rotating the…

Q: dt 2wt=t²2w³ dw

A:

Q: Find the critical point and determine if the function is increasing or decreasing on the given…

A:

Q: Question 10 lim (1 + 5x) ¹2 x →0 =

A:

Q: (Section 17.4) Find the work done by F(x, y) = (x-², x² + e²) in moving a particle once…

A: The given vector field is: F→=x-12y2, x2+ey2The region D is bounded by the curves:  y=12x   and  y=x

Q: Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing…

A: x=t3-3t    y=t2-2 To determine horizontal and vertical tangent    dydx=dydtdxdt…

Q: If ƒ(x) = (x² + 3x + f'(x) = + 3x + 2)², then ƒ' (2) =

A:

Q: Find the first five non-zero terms of the Taylor series for f(x) = sin(2x) centered at 37. Written…

A: f(x)=Sin(2x)

Q: 1. (a) Estimate the area under the graph of f(x) rectangles and left endpoints. Sketch the graph and…

A: We need to estimate area under the curve using - a. Left end points. b. Right end points.   Given -…

Q: what are the max and min point. show in details.

A: We need to compute the points of maxima and minima for the given function.y=xe-x22

Q: 1² 2t 1+1² 1+1² A submarine is traveling such that its position vector s(t)=₁ where s is in miles…

A: A submarine is traveling such that its position vector st=t21+t2, 2t1+t2, where  s is in miles and t…

Q: Find the volume of the solid with the given base and cross sections. The base is the circle x² + y²…

A: If the cross section is perpendicular to the x‐axis and itʼs area is a function of x, say A(x), then…

Q: Find the derivative of y with respect to the appropriate variable. Simplify where possible. x tan-¹…

A:

Q: -514 Let F(x) = e dt. Find the MacLaurin polynomial of degree 5 for F(x). 0.15 • Lou 0 Use this…

A:

Q: Question 4 Let y = (x² − 1)³(e³ª + x²)-². Then equals a) 3₁-3-² (b) 31- 3e³x +2x e³x+x² (c)…

A:

Q: Given that f(x) = x³h(x) h( − 1) = 3 h'( − 1) = 6 Calculate ƒ'( − 1). Hint: Use the product rule and…

A: given  f(x)=x5h(x)the product rule of derivatie is→ ⇒ d dx(a.b)=a×d dx(b)+b×d da(a)

Q: Find the curvature of the curve defined by r(t) = e²t+4tj K = Evaluate the curvature at the point…

A: The given curve is:r→(t)=e2ti→+4tj→

Q: Find the value of f'(4) when f(x) = x³/²+2x¹/2 1. f'(4) = 5 2. f'(4) = 4 3. f'(4) = 6 4. f'(4) 5.…

A:

Q: The cost, in dollars, of producing x yards of a certain fabric is C(x) = 1800 + 12x − 0.1x2 +…

A: The cost function to produce x yards of a certain fabric is:C(x)=1800+12x-0.1x2+0.0005x3Price per…

Q: The path C is a line segment of length 5 in the plane starting at (2, 1). For f(x, y) = 4x+3y,…

A:

Q: The average value of the function V(x) = 3x on the interval (1, c] is equal to 7. Find ( if (>1. C=

A: Given: The average value of the function v(x)=3x on the interval 1,c is equalto 7. We are required…

Q: Find a piecewise smooth parametrization of the path C given in the following graph. a. b. C. 14 с…

A:

Q: Find the area of the region that lies inside both curves. r = 5 sin(8), r = 5 cos(6)

A:

Q: What is the area of the integral of f(x) = 2within the interval [1, 4]? 3 2.5- 2 1.5+ 1 0.5 0 1 2 3…

A:

Q: Find the equation of the tangent line to the curve ƒ(x) = (x − 2)5(x + 1)² at x = 3

A: The curve is fx=x-25x+12 at x=3.To find : Find the tangent line.

Q: Evaluate cos(x) −1+ 5x4 Hint: Using power series. lim 2-0 Submit Question

A:

Q: Sect - tant = sect + tant

A: let  H=sec(t)-tan(t)

Q: Question 7 (a) e (b) 1 (c) e² Im (²+3)*- (d) does not exist (e) none of these

A:

Q: Find the critical points and the interval on which the given function is increasing or decreasing,…

A:

Q: OF Y=X+2 The region in the first quadrant bounded by the graphs. y=2x, and the y-axis is revolved…

A:

Q: 65 Find the gradient vector field of f(x, y) = xºy³ V

A:

Q: Find tangent Points on is vertical X = + ²-3 + the horizontal tangint = vertical Fangent Curve where…

A: The equation  of curve x=t3-3t,y=t3-9

Q: ind the​ consumers' surplus and the​ producers' surplus at the equlibrium level for the given​…

A: p=Dx=38-0.04xp=Sx=14+0.08x

Q: Find an equation of the plane. The plane passes through (0, 0, 0), (3, 0, 2), and (-1,-1, 9). 2x -…

A: Let P0, 0, 0Q3, 0, 2 and R-1,-1, 9

Q: Determine the absolute maximum and minimum values of f(x) = x³ - 3x² + 2x on the interval [-1,2].

A: Given that  function f(x)= x3 - 3x2 + 2x   We find absolute maximum and minimum value.

Q: Abox with a square base and open top must have a volume of 1372 cm³. We wish to find the dimensions…

A: To solve the following

Q: A surveyor standing some distance from a mountain, measures the angle of elevation from the ground…

A: Given angle of elevation.

Q: 8. Sketch the region enclosed by y=√x, y = 4x, 0≤x≤ 25 the given Curves.

A:

Q: 2.5 1 2 1.5 1 0.5 Z Find the volume of the solid bounded below by the plane z = 1 and above by the…

A: Note: As per our Guidelines , we can solve first one . Please repost remaining one.

Q: y = (e^-2x), y = 0, x = 0, and x = 1

A:

Q: Find y' and dy a) y = 7 sin (x² + 3x-3) y'= c) 7 y ² - 3x² = 4 dy dx = b) 2 y = X²³-4x+2 y' = De²y =…

A:

Q: Find the volume of the solid in R³ bounded by y = x², x = y², z = x+y+21, and z = 0. V =

A:

Q: a) Find y'= dy using implicit differentiation x²y = 7 dx (1 b) Find the derivate of the functions: y…

A: (a).The given function is:x8y=7

Q: Find the area of the region bounded by f(x) = x²-11-x--and g(x) = 3 - - -3. Sketch a graph. -10 -10…

A:

Q: For the function f(x) = 6x² – 5x, evaluate and simplify. f(x+h)-f(x) h

A:

Q: Use the given acceleration function and initial conditions to find the velocity vector v(t), and…

A:

Q: u and v are 3-vectors if u-v=√3

A: