Integrate the following using To xox $1+2x miscellaneas substitution:

Q: Find a plane containing the point (1,4,3) and the line of of the planes 7x + 5y - 8z = 27 and 5x +…

A:

Q: ~|J O 1- Cos 2πTX) dx L x (1. 2

A:

Q: 2 -P Suppose the demand for a certain brand of a product is given by D(p) = 448 +200, where p is the…

A:

Q: Find the directional derivative of the function at P in the direction of v. g(x, y) = √√√√x² + y²,…

A: Given: gx,y=x2+y2, p7,24, v=3i-4j   As we know the expression for the directional derivative of the…

Q: A mass on a spring vibrates horizontally on a smooth level surface (see the figure). Its equation of…

A:

Q: y 2 y = f'(x) 4 6 x

A: here , we have graph of the derivative of function  f means  f' :-then finding following :-(a)…

Q: d the distance from the point (5,9,-6) to the plane - 3z = amon 18.

A: we will find the required.

Q: What is the vertical asymptote for the function f(x) = 1 4x Ⓒx=0 x = 1 x=4 y=1 ? 61

A:

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: By using implicit differentiation to find an equation of the tangent line  to the curve at the given…

Q: Complete the parametric equations of the line through the points (8,4,3) and (-6,-8,-7) r(t) = 8-14t…

A:

Q: Draw the line with an x-intercept of -7/4 and a y-intercept of 3/2

A:

Q: If = {(x, y) | x² + y² ≤ 4, x>0} then: 16₂ (3x + 5y) dA= Question Help: Video

A: Here we have to find the double integral.

Q: 6.) Find the volume of the solid whose base is the region bounded between the curve x=1-y² and the…

A: Please see the below picture for detailed solution.

Q: Problem #2: Evaluate the following integral, £xx² ds where C' is given by y = x¹0 for 0 < x < 1.…

A: Given integral is ∫Cyx7ds, where C is given by y=x10 for 0&lt;x&lt;1

Q: 1 I 1 1 1 1 I I 1 I 1 1 1 1 I 1 1 1 I 1 1 1 1 1 1 1 1 1 1 1 1 1 1 I 1 1 1 1 1 1 1 1 1 1 1 1 1 I I I…

A:

Q: Find the indicated derivative and simplify. 6x - 3 2 x + 7x y' for y=

A:

Q: 34. [ 22+x (4x³ + 3x²)² dx

A: Given query is to find the integral.

Q: Use the chain rule to find əz əs əz at = II - Z = tan дz əs and дz at u = 9s + 5t, v = 5s - 9t

A:

Q: Find the derivative. f(x) = 8√√2x² +7 f'(x) =

A:

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

A:

Q: Consider the following graph of the second derivative, f" (x), for some function f (x): f"(x) 9- 6-…

A:

Q: lim x-1 d x3+5 xa - X-5 * ха x2 + 4x -5

A: According to question,Given limit,limx→1 x3+5x2-x-5x2+4x-5

Q: Itranscript a. Determine whether the Mean Value Theorem applies to the function f(x) = In 16x on the…

A:

Q: An unbounded solid sits above the x-axis, for 1 ≤ x ≤ ∞, being in cross-section a disc of radius e*…

A: We have to find the volume of unbounded disc.

Q: d) find the displacement (change in position) between 1 and 3 e) find the average velocity (rate of…

A: According to question,Given Position function,x = 8 sin πt6

Q: A point P needs to be located somewhere on the line AD so that the total length L of cables linking…

A:

Q: Find the most general antiderivatives. a. y' = 3x² - 4x + 7 b. c. f'(x) = sec² x + cos x + 5 g (x) =…

A:

Q: Let D be the region under the curve y = In √ and above the x-axis = e. Find the volume of the region…

A:

Q: Use the equation to find dy dx dy dx 1 ƏF |ð öð Əx ду 1 utlu cos(xy) = 6 + sin(y)

A:

Q: Solve the given differential equation. 7ydx - 7xdy+x+dx=3dx The solution is 0. (Type an equation.)

A:

Q: A company's logo was designed using circles of 3 different sizes. The diameters of two of the…

A: A company's logo was designed using circles of 3 different sizes.  The diameters of two of the…

Q: 3. Let f(x,y)=x²y/(x² + y²). (a) Show that f(x,y) goes to zero if (x,y) goes to (0,0) along any…

A: Solution: (a) If (x,y) approaches (0,0) along the straight line y = mx, then we can substitute mx…

Q: 10) Consider the following two functions p(t) = and 7e-2)-7 t-2 P: R R if 0 2 q: R→R q(t) =…

A:

Q: A street light is mounted at the top of a 15ft tall pole. A man 6ft tall walks away from the pole…

A:

Q: Use Lagrange multipliers to find the points on the cone z² x² + y² that are closest to the point…

A: Lagrange multiplier is used to solve many problems related to finding the maximum or minimum value…

Q: 4. How much work is required to fill a spherical tank with a radius of 1m with water (1000 kg/m³)…

A:

Q: Solve the given differential equation. ex² dy=x√/9-ydx Choose the correct answer below. =9-²+C 4 ○…

A:

Q: A group of engineers are building a parabolic satellite dish whose shape will be formed by rotating…

A:

Q: Temperature Change: It took 14 seconds for a thermometer to rise from -19C to 100C when it was taken…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: A projectile is launched straight up in the air. Its height​ (in feet) t seconds after launch is…

A:

Q: Justify parts a-d with a 2) Given: f(x)=x+3 a) Find all intervals of increase and decrease. b) Find…

A:

Q: Find the limit. lim (3x)² = (Type +0<x (Type an exact answer.)

A:

Q: Find the derivative of the function. h(x) = ²x² - 7x + 3/x

A:

Q: ■ (a) Find f'(x) if f(x) = 2√x-x√² + √2x−2+²-√2x + √2*

A:

Q: -5-4-3-2 5 lim #112 A 3 2 1 + -2 3 -5+ 1 2 3 4 5 Determine the following values. Enter "DNE" if a…

A: Given: From the above figure,             limx→-2-f(x)=∞limx→-2+f(x)=∞limx→-2f(x)=∞f(-2)=4

Q: Solve the given differential equation. √√x² + y² dx - 4ydy = 4xdx Choose the correct answer below.…

A:

Q: 2.) Find the volume of the solid whose base is bounded by the circle whose center is the origin,…

A:

Q: Differentiate the function. g'(t) = g(t) = In t(t² + 1)4 8t 1

A:

Q: You are in charge of erecting a radio telescope on a newly discovered planet. To minimize…

A: Given: Mx,y,z=12x-y2+xz+240The radius of the spherical planet is 12 unit. Hence, x2 + y2 + z2 =…